Section 1: Whole Numbers

Transcription

1 Grade Play! Mathematics Answer Book 58 Question Place Value and Value Section : Whole Numbers. Study: The number below is said, Five thousand, six hundred and forty two. Th H T U 5 6 TERM. Write down the value of each underlined digit. Value is how much a digit in a number is worth. a) b) c) d) 75 5 e) f) 97 7 g) 9 0 h) i) j) k) l) 5 0. Write down the place value of each underlined digit. Place value is what column (Th, H, T or U) the digit is in. Think: Position a) 8 75 Th b) 97 T c) 9 68 H d) 5 7 U e) 5 76 H f) U g) 989 Th h) 9 T i) 8 9 U j) 709 Th k) 87 H l) H Question -digit numbers in words. Complete: Thousands space a) Two thousand and seventy three is written 07 b) Seven thousand, five hundred and forty-two is written 7 5. c) Five thousand and sixty-five is written d) Three thousand four hundred and eight is written 08. e) Seven thousand, eight hundred and fifty four is written f) Nine thousand, six hundred and nineteen is written Write each of the following numbers in words. a) 87: Two thousand, eight hundred and seventeen. b) 5 06: Five thousand and sixty two. c) : Seven thousand, six hundred and fifty six. d) 9 00 : Nine thousand and four. Term Section Whole Numbers Copyright Reserved

2 Grade Play! Mathematics Answer Book 59 Question Expanded form. Write the following numbers in expanded form. Method Method a) 87 = e) 78 = ( 000) + (7 00) + ( 0) + 8 b) 9 65 = f) 5 79 = (5 000) + ( 00) + (7 0) + 9 c) 7 98 = g) 7 96 = (7 000) + (9 00) + (6 0) + d) 850 = h) 9 0 = (9 000) + ( 00) + (0 0) + Question Short form. Complete:. Complete:. Complete: a) = 900 a) = 007 a) = 500 b) = 8050 b) = 00 b) = 800 c) = 7600 c) = 7056 c) = 07 d) = 907 d) = 907 d) = 057. Circle the correct answer. a) is equal to: ; 506 ; 5006 ; 6005 b) is equal to: ; 8007 ; 8700 ; * Write in short form. a) = 5 b) = 890 c) = 87 d) = 787 e) = 9050 f) = Write in short form. a) (8 000) + (5 00) + ( 0) + 6 = 8 56 b) ( 0) + (6 000) + (9 ) = 6 09 c) ( 000) + ( ) + (7 00) = 70 d) (5 00) + ( 0) + (9 000) = 9 50 e)* ( 000) + ( 0) + (7 00) + (6 0) = 780 f)* ( 00) + ( ) + (5 000) + (7 ) = 5 0 g)** (7 0) + (8 00) + ( 000) + (6 00) = 70 Term Section Whole Numbers Copyright Reserved

3 Grade Play! Mathematics Answer Book 60 Question 5 Odd and Even Numbers. Study: Even numbers end in 0,,, 6 or 8. For example: 96 is even. Odd numbers end in,, 5, 7, or 9. For example: 67 is odd.. Which numbers below are even? 5, 5, 7 58, 57, 68. Which numbers below are odd?, 8 565, 70, 6 997, 56. Complete the following sentences. a) The even numbers between 5 and 58 are 5, 5, 56. b) *The three odd numbers just after 896 are 897, 899, 90. Question 6 Comparing Numbers Think: The crocodile mouth eats the bigger number.. Insert the symbol > or < between each pair of numbers. a) 9 5 < 9 5 b) 550 > 505 c) < d) 758 < 785 e) 00 < 00 f) 8868 > Insert the symbol >, < or = between each pair of statements. a) < b) = 7889 c) = d) 6 + > 6. Which is bigger? or (5 000) + ( 0) + (8 00) Question 7 Ordering Numbers. Write the numbers in ascending order of size and then circle the even number. 967, 697, 976, 769 Ascending means going up : 697, 769, 967, 976. smallest to biggest.. Write the numbers in descending order of size and then circle the odd number , 9 667, 9 966, Descending means going down : 9 966, 9 766, 9 667, biggest to smallest. Term Section Whole Numbers Copyright Reserved

4 Grade Play! Mathematics Answer Book 6 Question 8 Building numbers. Use the following digits to make the: a) biggest number b) smallest number. 079 (a number cannot begin with 0). True or False? False 0 The smallest number that can be written with four different digits is 0..* Use the following digits to make the: 8 5 a) biggest even number. 8 5 (must end on the ) b) smallest odd number. 85 (must end on the 5) Question 9 Number facts. Complete: a) units = units = 5 units = 5 d) hundreds = 00 5 hundreds = hundreds = 700 b) tens = 0 tens = 0 7 tens = 70 e) hundreds = 00 5 hundreds = hundreds = 900 c) 5 tens = 50 tens = 0 8 tens = 80 f) units = tens = 0 hundreds = 00. Study: In the number 675 there are 6 thousands. In the number 675 there are 6 hundreds. In the number 675 there are 67 tens. In the number 675 there are 675 units. See Concept (pg ). Complete: a) In 85 there are thousands, 8 hundreds, 8 tens or 85 units. b) In 56 there are thousands, 5 hundreds, 56 tens or 56 units. c) In 78 there are 7 thousands, 7 hundreds, 7 tens or 78 units. d) In 869 there are 8 thousands, 86 hundreds, 869 tens or 869 units.. Add tens to each of the following numbers: Examples: 57: say 57 tens + tens = 575 tens. Answer: : say 769 tens + tens = 77 tens. Answer: 775 a) 7: 57 b) 7: 50 c) 558: 56 d) 879: 88 Term Section Whole Numbers Copyright Reserved

5 Grade Play! Mathematics Answer Book 6 5. Subtract 70 from each of the following numbers: (Remember 70 = 7T) Examples: 68: say 68 tens 7 tens = 6 tens. Answer: 6 865: say 865 tens 7 tens = 858 tens. Answer: 858 a) 97: 7 b) 7: 0 c) 56: 509 d)* 85: Add hundreds to each of the following numbers: Examples: 89: say hundreds + hundreds = 5 hundreds. Answer: : say 59 hundreds + hundreds = 6 hundreds. Answer: 65 a) 5: 5 b) 587: 607 c) 798: 88 d) 889: Subtract 00 from each of the following numbers: (Remember 00 = H) Examples: 986: say 9 hundreds hundreds = 5 hundreds. Answer: 586 5: say 5 hundreds hundreds = 9 hundreds. Answer: 9 a) 65: 5 b) 57: 507 c) 68: 588 d) 89: Complete by doing mental calculations. a) = 655 b) + 70 = 0 c)* = = = = 86 Question 0 Number Sequences (counting in 0s). Fill in the missing numbers in each: a) 658 ; 668 ; 678 ; 688 ; 698 ; 708 ; 78. Rule: +0 b) 86 ; 85 ; 8 ; 8 ; 8 ; 8 ; 80 ; 79 ; 78 ; 77. Rule: 0 c) 76 ; 77 ; 78 ; 79 ; 80 ; 8 ; 8 ; 8. Rule: +0 d) 786 ; 786 ; 786 ; 786 ; 7806 ; 7796 ; 7786 ; Rule: 0 Question Number Sequences (counting in 00s). Fill in the missing numbers in each: a) 58 ; 558 ; 568 ; 578 ; 588 ; 598 ; 608 ; 68. Rule: +00 b) 5 ; ; ; ; ; 0 ; 9 ; 8. Rule: 00 c) 66 ; 67 ; 68 ; 69 ; 70 ; 7 ; 7 ; 7. Rule: +00 Term Section Whole Numbers Copyright Reserved

6 Grade Play! Mathematics Answer Book 6 Question Rounding off to the nearest 0. Round each of the following numbers off to the nearest 0. Example: In there are tens. To round it off to the nearest ten you must ask: Is closer to tens or is it closer to tens? Answer: 0 ( tens) Think: 0? or 0? Use the (the units digit) to decide. a) 8 80 b) 8 80 c) d) 0 e) 5 50 f) g) h)* i) j) k) 08 0 l)* Round each of the following numbers off to the nearest 0. Example: In 97 there are 9 tens. To round it off to the nearest ten you must ask: Is 97 closer to 9 tens or is it closer to 9 tens? Answer: (9 tens) Think: 97 90? or 90? Use the 7 (the units digit) to decide. a) 5 50 b) c) d) e) f) g) h) i)* j)* k)* l)* Question Rounding off to the nearest 00 and 000. Round each of the following numbers off to the nearest 00. Example: In 85 there are 8 hundreds. To round it off to the nearest hundred you must ask: Is 85 closer to 8 hundreds or is it closer to 9 hundreds? Answer: (8 hundreds) Think: ? or 900? Use the (the tens digit) to decide. a) 8 00 b) c) d) e) f) g) h)* Round each of the following numbers off to the nearest 000. Example: Use the 5 (the hundreds digit) to decide. a) b) c) d) e) f) g) h) Term Section Whole Numbers Copyright Reserved

7 Grade Play! Mathematics Answer Book 6 Question Rounding off to the nearest 0, 00 or 000. Complete: Number Rounded off to the nearest a) b) c) Complete: a) correct to the nearest 0. b) correct to the nearest 00.. There are 59 people in a soccer stadium. How many people, rounded off to the nearest hundred, attended the game? 500 people.* Which numbers below will give 00 when rounded off to the nearest 00? Question 5 Number Sequences (counting in 5s). Fill in the missing numbers in each: a) 87, 85, 857, 86, 867, 87, 877. Rule: +5 b) 0, 5, 0, 5, 0, 5, 0. Rule: +5 c), 6,, 06, 0, 96, 9. Rule: 5 Question 6 Number Sequences (counting in 5s and 50s). Fill in the missing numbers in each: a) 000, 950, 900, 850, 800, 750. Rule: 50 b) 65, 650, 675, 600, 65, 650. Rule: +5 c) 70, 765, 790, 85, 80, 865, 890. Rule: +5 d)* 75, 5, 75, 5, 75, 5. Rule: 50 e)* 98, 9, 88, 8, 78, 7, 68. Rule: 50 Term Section Whole Numbers Copyright Reserved

8 Grade Play! Mathematics Answer Book 65 Question Mental Maths: Addition Section : Addition and Subtraction. Complete: a) + 5 = 8 b) 6 + = 0 c) = d) = 6 + = = = = 8. Complete: = 50 Think: T + T = 5T TERM a) = 70 b) = 60 c) = 70 d) = = = = = 70. Complete: = 0 Think: 8T + T = T a) = 00 b) = 0 c) = 60 d) = = = = = 60. Complete: = 900 Think: 6H + H = 9H a) = 500 b) = 800 c) = = = = Complete: = 00 Think: 8H + 6H = H a) = 000 b) = 00 c) = = = = 00 d) = 00 e) = 500 f) = = = = Complete: = 5000 Think: Th + Th = 5Th a) = 000 b) = 7000 c) = = = = 9000 Question Mental Maths: Addition. Complete the table:. Complete the table: a) 5 b) 7 c) 596 d) 68 *e) 958 Add 50 5T Add 500 5H Add 600 6H Add 000 TH (T + 5T) 75 (7T + 5T) (59T + 5T) 66 (68T + 5T) 7 (95T + 5T) 008 (H + 5H) 65 a) 59 (H + 5H) 87 b) 6 (5H + 5H) 096 c) 5596 (6H + 5H) 75 d) 67 (9H + 5H) 96 e) 6998 (T + 6T) 859 (TH + TH) 59 (T + 6T) 06 (TH + TH) 66 (55T + 6T) 696 (5TH + TH) 8596 (67T + 6T) 7 (6TH + TH) 97 (69T + 6T) 7598 (6TH + TH) 9998 Term Section Addition and Subtraction Copyright Reserved

9 Grade Play! Mathematics Answer Book 66 Question More than. What number is:.* What number is: a) more than 6? 6 + = 8 a) 9 more than 78? = 87 b) 5 more than 9? = b) 50 more than 85? = 5 c) 0 more than 50? = 60 c) 00 more than 96? = 6 d) 5 more than 70? = 85 d) 000 more than 75? = 95 Question Mental Maths: Subtraction. Complete: a) 5 = b) 0 6 = c) 5 = 6 d) 6 = = 0 7 = 6 = = 9 9 = = 5 7 = 8 8 = 6. Complete: 70 0 = 0 Think: 7T T = T a) 0 0 = 0 b) 80 0 = 50 c) 90 0 = 50 d) 70 0 = 0. Complete: 0 0 = 80 Think: T T = 8T a) 0 0 = 80 b) 0 60 = 50 c) 0 50 = 70 d) = = = = = 90. Complete: = 500 Think: 7H H = 5H a) = 00 b) = 600 c) = = = = Complete: = 700 Think: 0H H = 7H a) = 600 b) = 00 c) = = = = Complete: = 800 Think: H H = 8H a) = 900 b) = 700 c) = = = = 00 d) = 900 e) = 800 f) = = = = Complete: = 000 Think: 5Th Th = Th a) = 000 b) = 000 c) = = = = 5000 Term Section Addition and Subtraction Copyright Reserved

10 Grade Play! Mathematics Answer Book 67 Question 5 Mental Maths: Subtraction. Complete the table:. Complete the table: Subtract 80 Subtract 500 Subtract 800 Subtract 000 a) 795 (79T 8T) 75 (7H 5H) 95 a) 895 (8H 8H) 095 (Th Th) 895 b) 58 (58T 8T) 50 (5H 5H) 08 b) 58 (5H 8H) 78 (Th Th) 58 c) 76 (7T 8T) 96 (H 5H) 876 c) 576 (5H 8H) 576 (5Th Th) 76 d) 8 (T 8T) 68 (H 5H) 78 d) 708 (70H 8H) 68 (7Th Th) 08 e) 7 (T 8T) 07 (H 5H) 67 e) 807 (80H 8H) 77 (8Th Th) 507 Question 6 More than and Less than. What number is:.* What number is: a) less than 9? 9 = 5 a) 5 less than 6? 6 5 = 57 b) 7 less than 0? 0 7 = b) 90 less than 65? = 75 c) 8 less than 5? 5 8 = 7 c) 00 less than 86? = 986 d) 9 less than? 9 = d) 000 less than 665? = 65. How much more is:.* How much more is: a) 7 than 5? 7 5 = a) 60 than? 60 = 8 b) 9 than 6? 9 6 = b) 86 than 0? 86 0 = 56 c) 0 than? 0 = 7 c) 80 than 5? 80 5 = 55 d) than 7? 7 = d) 6 than 50? 6 50 = 76 For questions and, more than does NOT mean that we add. 5. Complete: 6.* Complete: a) 90 is 0 less than = 0 a) 56 is 0 less than = 0 b) 0 is 60 less than = 60 b) 00 is 575 less than = 575 c) 700 is 00 less than = 00 c) 60 is 5 less than = 5 d) 00 is 800 less than = 00 d) 700 is 800 less than = 800 Question 7 Problem Solving. Margie is saving money for a new dishwasher. She has already saved R000. If the dishwasher costs R8999, how much does she still have to save? R8999 R000 = R5999 She still has to save R Sipho has R900 more in his bank account than John. If John has R850, how much money does Sipho have? R850 + R900 = R750.* Nicole wants to buy a fridge for R500 and a microwave oven for R500. She has saved R00. How much must she still save so that she can buy both appliances? Cost for both appliances = R500 + R500 = R5000 Amount still to save = R5000 R00 = R700 Term Section Addition and Subtraction Copyright Reserved

11 Grade Play! Mathematics Answer Book 68 Question 8 Estimation (to the nearest 0 and 00). Round off the -digit numbers to the nearest 0 to estimate the answers. Example : Example : to the nearest 0. 0 to the nearest 0. a) b) c) 66 9 d) Round off the -digit numbers to the nearest 00 to estimate the answers. Example : 57 + Example : to the nearest to the nearest 00. a) 67 + b) c) d) Question 9 The breaking-down method of addition. Complete: a) = 50 b) = 600 c) = = = = = = = = = = = = = Complete using the breaking-down method. Always add the unit digits first. a) Th H T U b) Th H T U c) = = = 7 d) = = = 90 e) 87 + = = = 00 f) = = = 7000 g) 67 + = = = 807 h) = 8606 Term Section Addition and Subtraction Copyright Reserved

12 Grade Play! Mathematics Answer Book 69 Question 0 The breaking-down method of subtraction. Complete: a) 7 = b) 8 = 5 c) 9 5 = 70 0 = = = = = = = = = 000. Complete: a) = 9 b) 5 = 8 c) 5 8 = = = = = = = 700 d) 5 = 6 e) 6 = 8 f) 6 7 = = = = = = = 900. Complete: Always subtract the unit digits first. a) Th H T U b) Th H T U c) = = = d) = = = 80 e) = = = 500 f)* 58 7 = = = 000 g)* = = = 58 h)* = 55 Question The vertical-column method of addition. The vertical-column method is an easier method of adding numbers in place value columns.. Complete: Always add the unit digits first Example Example Example a) b) c) 9 + d) = 588 = 787 = 68 = 597 e) f) g) h) = 89 = 859 = 60 = 9 Term Section Addition and Subtraction Copyright Reserved

13 Grade Play! Mathematics Answer Book 70. Complete: Example Example Example a) b) c) 96 + d) = 5895 = 7885 = 680 = 598 e) f) g) h) = 599 = 79 = 66 = 955. There are 785 men and 85 women at a concert. How many people are there in total at the concert? = 970 people 5. An airline pilot travelled 6 km and 78 km during flights. How far did he fly altogether? 6km + 78km = 8 09km Question The vertical-column method of subtraction. Complete: Always subtract the units digits first Example Example Example a) 95 6 b) 79 5 c) 75 d) 97 5 = = = 59 = 68 e) 76 5 f) 59 6 g) h) = 9 = 6 = 8 = 75. Complete: 5 8 Example Example 7 Example a) 95 6 b) c) 79 d) = 9 = 9 = 68 = 9 e) 9 6 f) 58 6 g) h) = 99 = 98 = 598 = 868. Mr Zando s company must chop down trees in a plantation. 75 trees have already been chopped down. How many more trees does Mr Zando s company still have to chop down? = trees still to be chopped.. Tablet A costs R 9 and Tablet B costs R 968. In this section, always big small. Calculate the difference between the prices of the two models. R 968 R 9 = R 69 Term Section Addition and Subtraction Copyright Reserved

14 Grade Play! Mathematics Answer Book 7 Question Mixed Questions. Complete: The vertical-column method is recommended a) = b) = 8 c) = d) = 5 95 e) = 9 f) = 6 07 Question Adding three numbers. Add these numbers in the easiest order. a) = = 6 b) = = 5 c) = = 9 d) = = 7 e) = = 9 f) = = 6. Add these numbers in the easiest order. a) = = 5 b) = = 7 c) = = 9 d) = = 8 e) = = 59 f) = = 6. Complete: a) = b) = c) = d) = e) = f) = g) = h) =. Complete. a) 5 b) = 558 c) = d) = 6 96 e) = 6 9 Question 5 Problem Solving. There are 55 men, 85 women and 9 children at a concert. a) How many people are there in total at the concert? = 6669 people b) How many more women than men attended? = 6 more women attended. An airline pilot travelled 6 km, 586 km and 78 km during flights. How far did he fly altogether? 6km + 586km + 78km = 7680 km. John and Adam both collect stamps. John has 56 stamps and Adam has 879 stamps more than John. a) How many stamps does Adam have? = b) How many stamps do they have together? 56 + = 588 Term Section Addition and Subtraction Copyright Reserved

15 Grade Play! Mathematics Answer Book 7 Section : Common Fractions Question Fraction Names and Symbols: Part. Study the fraction names and symbols and then answer the questions that follow. whole half third quarter TERM a) of equal parts is one half. The number symbol is. b) of equal parts is one third. The number symbol is. c) of equal parts is called one quarter. The number symbol is.. Order the fractions from the smallest to the biggest: quarter, third, half. half quarter third. Fill in > or < between each pair of fractions to make correct statements. a) half > third b) quarter < third c) half > quarter. In your own words explain why half is bigger than third. half means sharing between whereas third means sharing among. 5. True or False? One third of the rectangle has been shaded. Give a reason for your answer. False the three parts are not equal in size. 6. Write down the correct number symbol for each question. a) of equal parts. d) b) quarter e) third c) f) of equal parts. 7. Order the fractions from the biggest to the smallest:,,. 8. Fill in > or < between each pair of fractions to make correct statements. a) < b) > c) < d) < Term Section Common Fractions Copyright Reserved

16 Grade Play! Mathematics Answer Book 7 Question Fraction Names and Symbols: Part. Study the fraction names and symbols and then answer the questions that follow. fifth sixth seventh eighth a) of 5 equal parts is one fifth. The number symbol is 5. b) of 6 equal parts is one sixth. The number symbol is 6. c) of 7 equal parts is one seventh. The number symbol is 7. d) of 8 equal parts is one eighth. The number symbol is 8.. Order the fractions below from the smallest to the biggest: eighth, seventh, sixth, fifth. fifth seventh sixth eighth. Fill in > or < between each pair of fractions to make correct statements. a) fifth > sixth b) seventh > eighth c) seventh < fifth. True or False? One fifth of the rectangle has been shaded. Give a reason for your answer. False the five parts are not equal in size. 5. Write down the correct number symbol for each question. a) of 6 equal parts. d) seventh 6 b) eighth 7 e) 8 c) 5 f) of 7 equal parts Order the fractions from the smallest to the biggest: 8, 7, 6, Fill in >, < or = to make correct statements. a) 8 < b) 5 7 < c) 6 5 > 6 d) 6 > 8 e) 6 > 7 f) 8 < 5 g) 7 > 8 h) 7 < 5 Term Section Common Fractions Copyright Reserved

17 Grade Play! Mathematics Answer Book 7 Question Fraction Names and Symbols: Part. Order the fractions from the smallest to the biggest: 8, 7, 6, 5,,, Write down the correct number symbol for each question. a) of equal parts. d) third b) eighth e) 8 c) 5 f) of 7 equal parts Fill in >, < or = to make correct statements. a) > b) < c) > 5 d) 7 > 8 e) 5 < f) 6 < g) < h) 5 > 6. Under each diagram, write down into how many equal parts it has been divided and which fraction of the diagram is shaded. A B C D E equal parts equal parts 5 equal parts 8 equal parts equal parts One quarter / One half/ One fifth/ 5 One eighth/ 8 One third/ 5. Each figure below has been divided into an equal number of parts. a) b) Complete the table: Number of equal parts Fraction of figure shaded a) c) d) b) 6 6 c) 8 8 d) Term Section Common Fractions Copyright Reserved

18 Grade Play! Mathematics Answer Book 75 Question Fractions in Real Life. If a chocolate bar is shared equally between children, what fraction of the bar does each child get? equal parts:. One apple is shared equally among children. What fraction of the apple does each child get? equal parts:. One pie is shared equally among 6 workers. What fraction of the pie does each worker get? 6. A packet of sweets is shared equally between 5 Grade learners. What fraction of the packet does each learner get? One fifth / 5 Question 5 More Fraction Names and Symbols See pp Study: Two thirds means of equal parts and is written. Four fifths means of 5 equal parts and is written 5.. Fill in the missing numbers in each sentence: a) quarters means of equal parts. b) fifths means of 5 equal parts. c) sevenths means of 7 equal parts. d) 5 sixths means 5 of 6 equal parts. e) 7 eighths means 7 of 8 equal parts. f) thirds means of equal parts.. Write down the number symbol for each of the fractions. a) quarters d) thirds b) fifths f) eighths 5 8 b) 6 sevenths g) 5 sixths Each figure below has been divided into an equal number of parts. a) b) Complete the table: Number of equal parts Fraction of figure shaded c) d) a) b) 6 6 c) 7 7 d) 8 8 Term Section Common Fractions Copyright Reserved

19 Grade Play! Mathematics Answer Book 76 Question 6 Working with Thirds. Study the fraction names and symbols below: third thirds thirds =.. Order the above fractions from the smallest to the biggest:,,. or.. Which is bigger, one third or two thirds? two thirds. Draw lines to divide each of the following shapes into thirds. A B C a) Shade of A. b) Shade of B. c) Shade Any part out of parts Any parts out of parts. of C. 5. Fill in >, < or = to make correct statements. a) < b) < Question 7 Working with Quarters c). Study the fraction names and symbols below: = d) > quarter quarters quarters quarters =.. Order the above fractions from the smallest to the biggest:,,,. or.. Draw lines to divide each of the following shapes into quarters: A B C D a) Shade of A. b) Shade of B. c) Shade of C. d) Shade of D. Any part out of parts Any parts out of parts. Any parts out of parts. Term Section Common Fractions Copyright Reserved

20 Grade Play! Mathematics Answer Book 77. Complete the fraction wall. 5. Fill in >, < or = to make correct statements. a) quarter < quarters b) quarters > quarters c) whole = quarters 6. Fill in >, < or = to make correct statements. a) < b) < c) > d) = e) > f) = g) < h) = Question 8 Mixed Questions. Complete to write whole in fraction form: a) = 5 b) = c) = 5 d) = 8 8 e) = 7 7. Fill in >, < or = to make correct statements. a) < b) 5 > 5 c) 8 < 7 8 d) 6 < 5 6 e) > f) 6 7 < 7 7 g) < h) > 7 8. Write down what fraction of each of the following figures has been shaded. A = 6 B = 6 C = 6 D = 7. Shade the indicated fractional parts of each figure. a) fifths b) eighths c) 6 (Any of the 5 parts) *5. Fill in >, < or = to make correct statements. (Any of the 8 parts) (Any of the 6 parts) a) < b) 5 > 5 c) 8 < d) < e) = 6 6 f) < g) > h) 5 > 6 Term Section Common Fractions Copyright Reserved

21 Grade Play! Mathematics Answer Book 78 Question 9 Word Sums: Part. Three sweets are shared equally among three children. a) Circle the sweets to show how they are shared. b) How many sweets does each child get? = c) What fraction of the sweets does each child get? sweet out of sweets =. Six sweets are shared equally between two children. a) Draw circles grouping the sweets to show how they are shared. b) How many sweets does each child get? 6 = sharing between, think halves. c) What fraction of the sweets does each child get? sweets out of 6 sweets = 6 =. Six sweets are shared equally among three children. a) Draw circles grouping the sweets to show how they are shared. b) How many sweets does each child get? 6 = sharing amongst, think thirds. c) What fraction of the sweets does each child get? sweets out of 6 sweets = 6 =. stickers are shared equally among children. sharing among, think quarters a) How many stickers does each child get? = b) What fraction of the stickers does each child get? stickers out of stickers = = 5. 5 cupcakes are shared equally among 5 children. sharing among 5, think fifths a) How many cupcakes does each child get? 5 5 = b) What fraction of the cupcakes does each child get? cupcakes out of 5 cupcakes = 5 = 5 Question 0 Word Sums: Part. A bag of marbles contains 8 marbles. Sipho gets marbles and Josh gets 5 marbles. a) What fraction of the marbles did Sipho get? 8 b) What fraction of the marbles did Josh get? 5 8. apples are shared equally among people. sharing amongst, think thirds. a) How many apples does each person get? = b) What fraction of the apples does each person get? = Term Section Common Fractions Copyright Reserved

22 Grade Play! Mathematics Answer Book 79. A pizza is cut into eight equal slices. Tiaan eats slices, Nadine eats slice and Colby eats slices. a) What fraction of the pizza did Tiaan eat? 8 b) What fraction of the pizza did Nadine and Colby eat? 8 6 c) What fraction of the pizza was eaten altogether? = 8 d) What fraction of the pizza was not eaten? = 8. One chocolate is shared equally among children. What fraction of the chocolate does each child get? 5. One apple is shared equally between children. Sharing between, think halves. What fraction of the apple does each child get? 6. One pie is shared equally among 5 workers. What fraction of the pie does each worker get? 5 Question A Fraction of a Whole Number. Study: To halve a number means to divide it by. Thus of = = 6.. Complete by doing mental calculations: a) e) of = b) of = 6 f) of 6 = c) of 8 = d) of 0 = 5 of 6 = 8 g) of 8 = 9 h) of 0 = 0. Study: To calculate third of a number means to divide it by. Thus of = =.. Complete by doing mental calculations: a) e) of 6 = b) of 8 = 6 f) of 9 = c) of = d) of 5 = 5 of = 7 g) of = 8 h) of 7 = 9 5. Study: of = = and 5 of 0 = 0 5 =. 6. Complete by doing mental calculations: a) of = b) 5 of 0 = c) 6 of = d) 8 of = of = 6 5 of 5 = 5 6 of 0 = 5 8 of 0 = 5 of = 8 5 of 0 = 8 6 of = 7 8 of 56 = 7 Term Section Common Fractions Copyright Reserved

23 Grade Play! Mathematics Answer Book 80 Section : Length Part : Millimetres (mm) and centimetres (cm) Question Working with a Ruler TERM. Study: A ruler is used to measure the length of an object in millimetres or in centimetres. There are 0 mm in every cm. millimetre centimetre 0 millimetres. Complete: a) How many millimetres are there in centimetre? 0mm b) How many millimetres are there in half of a centimetre? 5mm. Study the ruler and then answer the questions that follow. A B C D E Write down the number of millimetres or centimetres shown on the ruler at point: A = 0 mm B = 0 mm C = 65 mm D = 8 mm *E = 07 mm = cm = cm = 6 cm 5 mm = 8 cm mm = 0 cm 7 mm Question Estimate and Measure. Estimate the length of each line and then check your estimates by measuring each line with a ruler (in cm and mm). Estimate Actual a) cm 7mm b) c) d) e) f) g) answers will vary 5cm 7mm cm 5mm cm 6cm 5mm cm 8mm 7cm 8mm Term Section Length Copyright Reserved

24 Grade Play! Mathematics Answer Book 8 Question Writing length in mm. Complete: a) cm = 0 mm b) cm = 0 mm c) 5 cm = 50 mm d) 7 cm = 70 mm e) 8 cm = 80 mm f) 9 cm = 90 mm g) 0 cm = 00 mm h) cm = 0 mm. Complete: cm 7 mm = 0 mm + 7 mm = 7 mm a) cm mm = mm b) cm 5 mm = 5 mm c) cm mm = mm d) cm 5 mm = 5 mm e) 6 cm mm = 6 mm f) 7 cm 8 mm = 78 mm Question Writing length in cm and/or mm. Complete: a) 0 mm = cm b) 0 mm = cm c) 50 mm = 5 cm d) 80 mm = 8 cm e) 90 mm = 9 cm f) 00 mm = 0 cm g) 0 mm = cm h) 50 mm = 5 cm. Complete: 7 mm = cm + 7 mm a) mm = cm mm b) 5 mm = cm 5 mm c) mm = cm mm d) 87 mm = 8 cm 7 mm e) mm = cm mm f) 55 mm = 5 cm 5 mm Question 5 Rounding off to the nearest cm. Round off to the nearest cm. Examples: mm cm (because mm = cm mm) 75 mm 8 cm (because 75mm = 7cm 5 mm) a) mm cm b) 57 mm 6 cm c) 5 mm cm d) 6 mm 6 cm e) 69 mm 7 cm f) 9 mm 9 cm g) 8 mm 5 cm h) 5 mm 5 cm Question 6 Half a centimetre. Study: cm = 0mm therefore cm = 5mm cm cm cm 8 cm. Complete: a) cm = 5 mm b) cm = 0 mm c) cm = 0 mm d) 6 cm = 65 mm cm = 5 mm cm = 5 mm cm = 5 mm * 0 cm = 05 mm Term Section Length Copyright Reserved

25 Grade Play! Mathematics Answer Book 8 Question 7 Calculations involving cm and mm. Complete:. Complete:. Complete: a) 8mm + 7mm = 5mm b) 9mm mm = 5mm c) 9cm + 6cm = 5cm d) cm 7cm = 5cm a) cm 7mm + 8cm mm = cm 9mm b) 6cm mm + 7cm mm = cm 7mm c) 8cm 7mm 5cm mm = cm mm d) cm 6mm 5cm mm = 7cm mm a) cm 8mm + 7cm mm = 9cm 0mm = 0cm b) 9cm mm + cm 7mm = cm 0mm = cm c) 5cm 6mm + cm mm = 9cm 0mm = 0cm *d) 6cm 7mm + 9cm 8mm = 5cm 5mm = 6cm 5mm. Complete: 5. Complete: 6. **Complete: a) 7cm = cm b) 8mm = mm c) cm = cm *d) 7mm = 5mm a) mm = 6mm b) 56mm 7 = 8mm c) 5cm 5 = 9mm *d) mm = mm a) 9½ cm cm = 7½ cm b) 5cm = 00cm c) 6cm 7mm + cm 9mm = 8cm 6mm = 9cm 6mm d) 96mm = mm Question 8 Problem Solving (cm and mm). Consider the pencil and the nail. a) The length of the pencil is 80 mm or 8 cm. b) The length of the nail is 65 mm or 6½ cm. c) Calculate the difference between the length of the pencil and the length of the nail, in mm. 80mm 65mm = 5mm d) Calculate the sum of the length of the pencil and the length of the nail, in cm. 8cm + 6½cm = ½cm. Tsego buys a piece of wood that is 0cm long. For a project, he needs to cut the wood into 6 equal parts. How long will each piece of wood be? 0cm 6 = 5cm.* Sarah s hair is 8½cm long. The hairdresser cuts off 5 cm. How long is Sarah s hair now, in cm? 8½cm 5cm = ½ cm. Freddie builds a tower using blocks that are each 7cm high. If he builds a tower of 9 blocks, how high is the tower in cm? 7cm 9 = 6cm 5. Adam s foot is 5cm 7mm long. Jane s foot is cm mm long. How much longer is Adam s foot than Jane s foot? 5cm 7mm cm mm = cm mm Term Section Length Copyright Reserved

26 Grade Play! Mathematics Answer Book 8 Part : Working with metres (m), centimetres (cm) and millimetres (mm) Question 9 The Basics. Centi- means one hundredth. Therefore, there are 00 centimetres in metre.. Milli- means one thousandth. Therefore, there are 000 millimetres in metre. m = 00cm m = 000mm Examples: A meter stick A small child is about m tall. A doorway is about m wide. A walking stick is about m long.. Complete: a) How many centimetres are there in metre? 00cm b) How many millimetres are there in metre? 000mm Question 0 Writing length in cm. Complete: Remember: there are 00 centimetres in metre. a) m = 00 cm b) m = 00 cm c) m = 00 cm d) 7 m = 700 cm e) 8 m = 800 cm f) 9 m = 900 cm g) 0 m = 000 cm h) m = 00 cm. Complete: m 7cm = 00 cm + 7 cm = 07cm and m 5cm = 00cm + 5cm = 5cm a) m cm = 0 cm b) m 5 cm = 05 cm c) m cm = 0 cm d) m 57 cm = 57 cm e) m 7 cm = 7 cm f) 9 m 89 cm = 989 cm Question Writing length in m and/or cm. Complete: a) 00 cm = m b) 00 cm = m c) 500 cm = 5 m d) 800 cm = 8 m e) 00 cm = m f) 700 cm = 7 m g) 900 cm = 9 m h) 000 cm = 0 m. Complete: 07 cm = m + 7 cm and 56 cm = m + 56 cm a) 07 cm = m 7 cm b) 05 cm = m 5 cm c) 0 cm = m cm d) 87 cm = 8 m 7 cm e) cm = m cm f) 655 cm = 6 m 55 cm Term Section Length Copyright Reserved

27 Grade Play! Mathematics Answer Book 8 Question Rounding off to the nearest m (from cm). Round off to the nearest m. Examples: cm m (because cm = m cm) 75 cm m (because 75cm = m 75 cm) a) 5 cm m b) 8 cm m c) 85 cm m d) 605 cm 6 m e) 59 cm 5 m f) 89 cm 9 m g) 78 cm 7 m h) 95 cm 9 m Question Half a metre (in cm). Study: m = 00cm therefore m = 50cm. Complete: a) How many centimetres are there in metre? 00cm b) How many centimetres are there in a half of a metre? 50cm. Complete: a) m = 50 cm b) m = 00 cm c) m = 00 cm d) 6 m = 650 cm m = 50 cm m = 50 cm m = 50 cm 9 m = 950 cm Question Writing length in mm. Complete: Remember: there are 000 millimetres in metre. a) m = 000 mm b) m = 000 mm c) m = 000 mm d) 9 m = 9000 mm. Complete: m 5mm = 000 mm + 5 mm = 005 mm and m 5mm = 000 mm + 5mm = 05 mm and m 700mm = 000 mm + 700mm = 700 mm a) m mm = 00 mm b) m 5 mm = 005 mm c) 5 m mm = 50 mm d) m 570 mm = 570 mm e) m 7 mm = 07 mm f) 6 m 89 mm = 689 mm Question 5 Writing length in m and/or mm. Complete: a) 000 mm = m b) 000 mm = m c) 5000 mm = 5 m d) 8000 mm = 8 m. Study: 007 mm = m + 7mm, 056 mm = m + 56mm and 879 mm = m mm. Complete: a) 007 mm = m 7 mm b) 05 mm = m 5 mm c) 00 mm = m mm d) 87 mm = 8 m 7mm e) 0 mm = m mm f) 655 mm = m 655 mm Term Section Length Copyright Reserved

28 Grade Play! Mathematics Answer Book 85 Question 6 Rounding off to the nearest m (from mm). Round off to the nearest m. Examples: 7 mm m (because 7mm = m 7 mm) 5 mm m (because 5mm = m 5 mm) a) 5 mm m b) 85 mm m c) 85 mm m d) 605 mm 6 m e) 597 mm 5 m f) 89 mm 9 m g) 788 mm 7 m h) 95 mm 0 m Question 7 Half a metre (in mm). Study: m = 000mm therefore m = 500mm. Complete: a) How many millimetres are there in metre? 000mm. Complete: a) b) How many millimetres are there in a half of a metre? 500mm m = 500 mm b) m = 000 mm c) m = 000 mm d) 6 m = 6500 mm m = 500 mm m = 500 mm m = 500 mm 9 m = 9500 mm Question 8 Writing length in mm, cm or m. Complete:. Complete:. Complete:. Complete: a) cm = 0 mm a) m = 00 cm a) m = 000 mm a) 5 cm = 50 mm b) cm = 0 mm b) m = 00 cm b) m = 000 mm b) 5 m = 500 cm c) 7 cm = 70 mm c) m = 00 cm c) 6 m = 6000 mm c) 5 m = 5000 mm 5. Complete: 6. Complete: 7. Complete: 8. Complete: a) 0 mm = cm a) 00 cm = m a) 000 mm = m a) 80 mm = 8 cm b) 0 mm = cm b) 00 cm = m b) 000 mm = m b) 800 cm = 8 m c) 50 mm = 5 cm c) 800 cm = 8 m c) 7000 mm = 7 m c) 8000 m = 8 km 9. Complete: [Mixed] a) m = 000 mm b) 60 mm = 6 cm c) 700 cm = 7 m d) 5 m = 500 cm e) cm = 0 mm f) 5 m = 500 cm g) 000mm = m h)* ½ m = 50 cm i)* 00 mm = 0 cm 0.* Complete: [Mixed] a) m 5 cm = 5 cm b) 00 mm = m mm c) 5 cm = 5 m cm d) 0 cm = m 0 cm e) 5 mm = cm 5 mm f) m 5cm = 05cm g) m 7 mm = 07 mm h) 5 m = 500 cm i)* 000 cm = 0 m Term Section Length Copyright Reserved

29 Grade Play! Mathematics Answer Book 86 Question 9 Calculations (cm and m). Complete:. Complete:. Complete: a) 8m = m b) m m = 8m c) 6m = 9m d) m + 9m = m a) m 70cm + m 0cm = 6m 00cm = 7m b) m 50cm + m 50cm = 7m 00cm = 8m c) 5m 70cm + m 50cm = 7m 0cm = 8m 0cm d) 8m 90cm m 0cm = 6m 60cm a) m 50cm = 00cm 50cm = 50cm b) m 0cm = 00cm 0cm = 70cm c) m 0cm = 00cm 0cm = 0cm *d) 5m m 0cm = 500cm 0cm = 80cm. Complete: 5. Complete: 6. **Complete: a) m 0cm = 6m 0cm b) m 0cm = m 0cm c) 6m 0cm = m 80cm *d) m 0cm 5 = 5m 00cm = 6m a) 8m 0cm = m 0cm b) m 60cm = m 0cm c) m 80cm = 6m 0cm *d) m 0cm = 0cm = 0cm a) m 70cm = 00cm 70cm = 0cm b) m 0cm 5 = 0m 00cm = m c) m 60cm + m 50cm = 5m 0cm = 6m 0cm d) m 50cm = 50cm = 50cm Question 0 Problem Solving (m and cm). A dressmaker uses 6m 70cm of material in one week and 7m 0cm of material the next week. How much material does she use in total during the two weeks? 6m 70cm + 7m 0cm = m 00cm = m. Blessing buys m of wrapping paper. She uses 60cm of the wrapping paper to wrap Tina s birthday present. How much wrapping paper does Blessing have left? m = 00cm Wrapping paper left = 00cm 60cm = 0cm. Shaun cut pieces of wood, each exactly the same length, from a plank that was m 60cm long. How long is each piece of wood? m 60cm = m 0cm. Dad built a storey building. The height of each storey is m 0cm. How high is the building? m 0cm = 9m 60cm 5. Donovan s horse, Bonnie, is m 60cm tall and Shaun s horse, Trigger, is 0cm taller. How tall is Trigger? m 60cm + 0cm = m 80cm 6. Rudolph connects pipes together. Each pipe is m 5cm long. How long is the connected pipe? m 5cm = m 75cm Term Section Length Copyright Reserved

30 Grade Play! Mathematics Answer Book 87 Part : Working with kilometres (km) and metres (m). Question The Basics. Kilo- means one thousand. Therefore, there are 000 metres in kilometre. km = 000m Question Writing length in m. Complete: a) km = 000 m b) km = 000 m c) km = 000 m d) 7 km = 7000 m e) 8 km = 8000 m f) 9 km = 9000 m g) km = 000 m h) 5 km = 5000 m. Complete.. Complete.. Complete. a) km 00 m = 00 m a) km 0 m = 00 m a) km 7 m = 007 m b) km 50 m = 50 m b) km 80 m = 080 m b) km m = 00 m c) km 67 m = 67 m c) km 6 m = 06 m c) km 5 m = 005 m Question Writing length in km and/or m. Complete: a) 000 m = km b) 000 m = km c) 5000 m = 5 km d) 8000 m = 8 km. Study: 007 m = km + 7m, 056 m = km + 56m and 879 m = km + 879m. Complete: a) 007 m = km 7 m b) 05 m = km 5 m c) 00 m = km m d) 87 m = 8 km 7m e) 0 m = km m f) 655 m = km 655 m Question Writing length in mm, cm, m or km. Complete: [Mixed] a) km = 000 m b) 60 mm = 6 cm c) 70 cm = 7 m cm d) 5 m = 500 cm e) 00m = km 00 m f) 000m = km g) m 0mm = 00 mm h)* ½ km = 500 m i)* 00 mm = 0 cm j) cm = 0 mm k)* 00 mm = 0 cm l) ½ cm = 5 mm Term Section Length Copyright Reserved

31 Grade Play! Mathematics Answer Book 88 Question 5 Rounding off to the nearest km (from m). Round off to the nearest km. Examples: 7 m km (because 7 m = km 7 m) 75 m km (because 75 m = km 75 m) a) 5 m km b) 87 m km c) 85 m km d) 6059 m 6 km e) 59 m 5 km f) 89 m 9 km g) 78 m 7 km h) 95 m 0 km Question 6 Problem Solving (km and m). On the st two days of our holiday we travelled 8km and 7km. How far did we travel in the two days? 8km + 7km = 8km.* A road race is ½ km long. Lindsay has completed 8km of the race. How much further does she have to run until the finish line? ½ km 8 km = ½ km Question 7 Mixed Questions (mm, cm, m and km). Choose the correct words from the brackets for each sentence. a) To measure the width of a book, (centimetres, metres) are used. centimetres b) To measure the length of a soccer field, (centimetres, metres) are used. metres c) The height of a door is approximately (50cm, m). m d) Every metre is made up of (, 0, 00) centimetres. 00 e) To measure the distance between towns, (metres, kilometres) are used. kilometres f) Every centimetre is made up of (, 0, 00) millimetres. 0 g) The distance around an athletics track is (0cm, 00m, km). 00m. Arrange these lengths or distances from the smallest to the biggest: D, E, B, C, A A The distance around an athletics track. C The width of a school swimming pool. E The width of your cellphone. B The length of a pen D The length of your small toe. Term Section Length Copyright Reserved

32 Grade Play! Mathematics Answer Book 89 Assessment. Circle the letter of the correct answer.. What is the place value of the underlined digit in 765? A 60 B units C tens D 6 TERM. Which number consists of the following: 6H + Th + T + 5U? A 6 5 B 65 C 5 6 D 65. m 7 mm = mm A 7 mm B 07 mm C 70 mm D 070 mm correct to the nearest 0. A B 6 50 C 6 50 D is equal to: Say: 76H + 8H = 8H answer is 85 A 85 B 775 C D 85.6 The fraction of the figure that is not shaded = A B C D quarters. Complete. a) = 6 86 b) = 5 96 c) = 69. True or False? False 9876 The largest number that can be written with four different digits is Complete: a) m 8cm = 08 cm b) ½cm = 5 mm c) ½km = 500 m d) km 80m = 080 m e) 5m = 500 cm f) 0cm = 00 mm 5. Complete each number sequence. a) 5 ; 57; 6 ; 67 ; 7 ; b) ; ; ; ; 0 ; Fill in >, < or = between each pair of fractions to make correct statements. a) < b) 6 6 = c) > 5 d) = 7. Complete: a) of = b) 8 of = c) 5 of 0 = d) 6 of = 7 8. Promise buys m of wrapping paper. She uses 80cm of the wrapping paper to wrap a birthday present. How much wrapping paper does Promise have left? m = 00cm 9. Six sweets are shared equally among three children. Wrapping paper left = 00cm 80cm = 0cm a) What fraction of the sweets does each child get? b) How many sweets does each child get? of 6 sweets = sweets Term For more assessments, visit Copyright Reserved

33 Grade Play! Mathematics Answer Book 90 Section 5: Multiplication Question Speed Exercises ( ) TERM. Complete. Exercise must be done without counting a) = 6 b) 7 = c) 8 5 = 0 d) 7 8 = 56 = 7 = 5 8 = = 56 = 8 = 7 6 = 7 9 = = 5 8 = 6 7 = 9 7 = 6 6 = 7 5 = = = 7 6 = 5 7 = = = 7. Complete. a) 6 = b) 7 = c) 8 = d) 9 = 8 6 = 7 = = 0 9 = = = = 0 9 = = 7 = 8 8 = = = = = = 8 Question Multiples. Study:, 8,, 6, 0 are called multiples of. Multiples think multiply : x =, x = 8, x =, x = 6 etc. Complete each table. a) b) c)* Multiples of Multiples of 6 Multiples of. Complete: a) Write down the first 5 multiples of 7. 7,,, 8, 5. b) Write down the first multiples of 9. 9, 8, 7, 6.. Complete: a) What is the first multiple of 7? 7 ( 7) b) What is the 0 th multiple of? 0 (0 ) c) What is the third multiple of? ( ) Use your answers from question a) and b) to help you. 5. Complete: a) Write down the multiples of between 0 and 0., 5, 8. b)* Write down the multiples of 6 between 0 and 5., 0, 6,. Term Section 5 Multiplication Copyright Reserved

34 Grade Play! Mathematics Answer Book 9 Question Factors of -digit numbers. Study: x = x 6 = x = factor factor factor factor factor factor,,,, 6, are the factors of. Always write factors in pairs, from the outside in.. Complete: a) 0 = 0 b) = c) 5 = 5 d) = or 0 = 5 or = 7 or 5 = 5 or = 7 The factors of 0 are The factors of are The factors of 5 are The factors of are,, 5, 0.,, 7,.,, 5, 5.,, 7,.. Complete: a) = b) 8 = 8 c) 0 = 0 or = 6 or 8 = 9 or 0 = 0 = 8 = 6 0 = 5 The factors of are The factors of 8 are The factors of 0 are,,,, 6,.,,, 6, 9, 8.,,, 5, 0, 0.. Complete: a) The factors of are,,,, 6,. b) The factors of 5 are,, 5, 5. c) The factors of 6 are,,, 8, 6. d)* The factors of are,,,, 6, 8,,. Always start with and the number itself and then fill in the rest of the factor partners from the outside in. 5. Which numbers are factors of: a)?,,, 9, 8, 6 b) 6?,, 8, 0,, 5 6. Write down the missing factor in each of the following number sentences. a) = 6 b) 5 = 5 c) = d) 0 = 5 = 7 = 6 = 5 = 5 6 = 8 8 = 6 0 = 5 0 = 5 7. True or False? a),, 0 are all the factors of 0. False 5 is missing. b) 8 is a factor of 8. False c) is the first factor of every number. True d) is a factor of all even numbers. True e) is a factor of. False it is a multiple. Term Section 5 Multiplication Copyright Reserved

35 Grade Play! Mathematics Answer Book 9 Question Mental Maths. Complete: 8 0 = 0 Think: 8 0 = 0 a) = 6 b) 6 = 8 c) 5 = 0 d) 9 = 7 0 = = = = 70 0 = = = = 70 e) 6 = f) 7 5 = 5 g) 9 = 6 h) 6 8 = 8 60 = = = = = = = = 80 Question 5 Multiplication (-digit by -digit). Complete: Always multiply the unit digits first. a) 9 (90 + ) b) (0 + ) c) 5 8 = 00 ( ) 9 ( 9) d) 8 = ( ) 6 (9 ) e) 6 7 = + 70 ( 90) + 80 (9 0) f) 8 6 = g) 76 9 = 68 Question 6 Basic Problem Solving. Write a number sentence for each of the following and then find the answer. a) 80 is multiplied by = 560 b) What number is twice as much as 7? 7 = 7 c) What number multiplied by 8 is 56? 8 7 = 56 The number is 7. d)* Half of a certain number is 5. What is the number? = 5? 5 = 0. Lindsay runs 8km each day. How far will she run in days? 8km = 68km. Suzy has R5 and Jane has three times as much money as Suzy. Suzy: R5 How much money do they have together? Jane: R5 = R5 Together: R5 + 5 = R80. There are 6 cupcakes in a box. How many cupcakes are there in 5 of the same boxes? 5 6 = 90 cupcakes 5. A car can transport 6 people. Mrs Jacobs says that cars will be needed to transport 75 people. Is she correct? 6 = 7 people. No, she is not correct. cars can only transport 7 people. Term Section 5 Multiplication Copyright Reserved

36 Grade Play! Mathematics Answer Book 9 Question 7 Problem Solving (Price per Item). Study: A rate involving price tells us what item will cost. At Woolworths, the vests are marked as follows: R80/vest This means that it costs R80 for ONE vest. a) How much will vests cost? b) How much will vests cost? Answer: R80 = R60 Answer: R80 = R0. Consider the items of clothing below. We say: R80 per ONE vest. T-shirt Jeans Formal shirt Boots R59.00 per t-shirt R50.00 per pair R99.00 per shirt R79.00 per pair a) Margie buys t-shirts for her son, John. If she pays with a R00 note, how much change does she receive? R00 (R59 ) = R00 R8 = R8 change b)* Nico buys t-shirts, one pair of jeans, formal shirts and one pair of boots. How much does he spend altogether? R77* + R50 + R98** + R79 = R70 *T-shirts: R59.00 = R77 **Formal shirts: R99.00 = R98 c) SPECIAL OFFER!!! How much money is saved if the t-shirts are bought t-shirts for only R00. on the special offer? Normal price: R59 = R6 Savings: R6 R00 = R6 Question 8 0 and 00. Complete: 7 0 = 70, 7 00 = 700 and 70 0 = 700 a) 0 = 0 b) 5 0 = 50 c) 00 = 00 d) 9 00 = = = = = = = = = Complete: 0 0 = 800 Think: 0 0 = 8 00 a) 0 0 = 600 b) 0 0 = 900 c) 0 0 = 800 d) 70 0 = = = = = 500. Complete: 60 0 = 800 Think: = 8 00 a) 0 0 = 00 b) 0 50 = 000 c) 90 0 = 700 d) = = = = = = = = = 700 Term Section 5 Multiplication Copyright Reserved

37 Grade Play! Mathematics Answer Book 9 Question 9 Estimation. Round both -digit numbers off to the nearest 0 to estimate each answer. a) = 600 b) = 600 c) = 800 d) 0 0 = 800 e) = 000 f) = 500 g) = 600 h) = 5600 i) = 700 Question 0 Using factors to make multiplication easier. Complete: a) 0 = 0 b) 5 0 = 50 c) 0 = 0 d) 0 = 0 e) 0 = 0 f) 8 0 = 80 g) 5 0 = 50 h) 7 0 = 70. True or False? a) 0 means the same as 0. True b) 5 0 means the same as 50. True. Use the factors of the underlined -digit number to calculate each answer. a) 0 = 0 = 0 = 0 b) 0 = 0 = 0 = 0 c) 0 = 0 = 0 = 0 *d) 0 = 0 = 0 = 0. Complete by mental calculation. a) 0 = 0 b) 0 = 0 c) 0 = 60 d)* 8 0 = = = 60 0 = = = = = 00 0 = 50 Question Multiplication (-digit by -digit). Complete. Easy Questions Always multiply the unit digits first. a) (0 + ) b) 5 = 550 c) = 55 (0 + ) 6 [ ] d) = 768 e) = 79 0 [ 0] 0 [0 ] f) 5 = 850 g) = [0 0] 966 h) 5 = 70 i) = 96 Term Section 5 Multiplication Copyright Reserved

38 Grade Play! Mathematics Answer Book 95. Complete. Hard Questions a) 9 (90 + ) b) 5 = 7 c) 9 = 68 5 (50 + ) [ ] d) 76 = 58 e) 68 = 9 70 [ 90] 00 [50 ] f) 7 5 = 65 g) 7 59 = [50 90] 98 h) 58 6 = 65 i) 98 = 5. Complete: Challenging questions a) = 66 b) = 695 c) = 85 Question Problem Solving involving Money. Sally bought 5 tickets for the school concert. The cost per ticket is R65. How much did the tickets cost altogether? R65 5 = R975. A toy shop owner sells 65 swing sets. He makes R profit per swing set. How much profit does he make in total? R 65 = R080 Question Problem Solving involving Length (price/m) We say: R50 per ONE m.. Study: If it costs R50 for metre of material, we write this as R50/m. How much do metres of the material cost? Answer: R50 = R50. Complete the table. Material Price per m Cost for m 5 m 0 m a) Cotton R0/m R60 R50 R00 b) Denim R5/m R90 R5 R50 c) Linen R70/m R0 R50 R700 d) Satin R99/m R98 R95 R990. Consider the different types of material in the table above. a) Carla needs m of cotton and m of denim to make a jacket. How much will the material cost altogether? Cost = R90 + R90 = R80 Cotton: R0 = R90, Denim: R5 = R90 b)* A company that makes night gowns orders 0m of linen and 5m of satin. Linen: R70 0=R700 Satin: R99 5=R75 How much does this cost in total? Cost = R700 + R75 = R75 Term Section 5 Multiplication Copyright Reserved

39 Grade Play! Mathematics Answer Book 96 Section 6: -D Objects Question Identify and Sort -D Objects. Study: -D refers to three dimensions: length, width and height. -D figures only have a length and a width and are therefore flat. -D objects have height and are therefore not flat. TERM -D length width -D length height width. Complete: -D figures have a length, width and a height.. Complete: a) Which figures below are -D? A, C, D, F b) Which objects below are -D? B, E, G, H A B C D E F G H. Study the -D objects below. A B C D E F cube rectangular prism sphere cone cylinder square-based pyramid 5. Sort the -D objects given above in the table. Curved surfaces only Flat surfaces only Curved and flat surfaces C A D B E F Term Section 6 -D Objects Copyright Reserved

40 Grade Play! Mathematics Answer Book 97 Question Prisms. Study: Objects that look like boxes are called prisms. They only have flat surfaces. Their flat surfaces are called faces. Cube Shapes needed to make a cube. 6 square faces. Complete: a) How many faces does a cube have? 6 b) What shape are the faces? Squares c) Which object below has the same shape as a cube? B: Dice A B C D. Study: Rectangular prisms have 6 faces in total. They can have rectangular faces and square faces or 6 rectangular faces. Shapes needed to make rectangular prism A. A Shapes needed to make rectangular prism B. B. Complete: a) Name two similarities between a cube and a rectangular prism.. Prisms (box shape). 6 Faces [. Only flat faces.] b) Name one difference between a cube and a rectangular prism. Cube: only square faces Rectangular Prism: squares and/or rectangles 5. Complete: a) Which objects below have the same shape as a rectangular prism? B and E b) Which object below has the same shape as a cube? C A B C D E Term Section 6 -D Objects Copyright Reserved

41 Grade Play! Mathematics Answer Book 98 Question Cylinders. Study: A cylinder is made up of identical circles with a rectangle that is wrapped around the outside of each. Shapes needed to make a cylinder.. Complete: a) Write down the name of each -D object. A B C A: cube B: rectangular prism C: cylinder b) Which object has a curved surface? C: cylinder c) Is a cylinder a prism? No prisms only have flat surfaces. d) What shapes are needed to make a cylinder? rectangle and identical circles. Question Cones and Pyramids. Complete: a) Name the -D object. Cone vertex b) What is the base of the -D object? Circle c) Select the correct box below to describe the object. C A: Curved surfaces only B: Flat surfaces only C: Curved and flat surfaces. Complete: a) Is this -D object a prism or a pyramid? Pyramid vertex b) What is the base of the -D object? Square c) Name the -D object. Square-based pyramid d) Select the correct box below to describe the object. B A: Curved surfaces only B: Flat surfaces only C: Curved and flat surfaces e) Which set of shapes (A or B) can be used to make a square-based pyramid? A A: B: f) How many faces does a square-based pyramid have? 5 ( square base, triangles) Term Section 6 -D Objects Copyright Reserved

42 Grade Play! Mathematics Answer Book 99 Question 5 Naming -D Objects.. Write down the name of each -D object. A B C D E Cube Square-based pyramid Cylinder Rectangular prism Cone. Write down the letter(s) of each object below which has same shape as a: rectangular prism: E cylinder: A and F sphere: B and H cube: G pyramid: D cone: C A B C D E F G H. Complete: a) -D Object Name Number of Faces Shape of Faces cube 6 Square b) rectangular prism 6 squares rectangles c) cylinder circles rectangle d) square-based pyramid 5 square triangles Term Section 6 -D Objects Copyright Reserved

43 Grade Play! Mathematics Answer Book 00 Question 6 Nets. Study: A net is a -dimensional shape that can be folded to form a -dimensional object.. Which -D object can be made with each of the following nets? a) b) cube rectangular prism c) d) cylinder square-based pyramid. Draw a net for each of the following -D objects: Answers may vary. a) Cube b) Cylinder c) Square-based pyramid Term Section 6 -D Objects Copyright Reserved

44 Grade Play! Mathematics Answer Book 0 Section 7: Geometric Patterns Question Describing Repeating Patterns. Study: A geometric pattern is a sequence of -D shapes or -D objects. Examples: a) TERM b) Two squares followed by a circle. The pattern has been repeated times.. Describe each pattern in words. a) A cone followed by two cubes. The pattern has been repeated twice. b) The pattern is a triangle followed by a square followed by a circle. The pattern has been repeated times. c) The pattern is two smiley faces, followed by a star. The pattern has been repeated times. d) The pattern is a pyramid, followed by a circle and then a square. The pattern has been repeated times. e) The pattern is an arrow ( ), followed by a square and then another arrow ( ). The pattern has been repeated times. f)* The pattern is a triangle ( ), followed by a square and then another triangle ( ). The pattern has been repeated times. The pattern is an arrow ( ), followed by squares and then another arrow ( ). The pattern has been repeated times. Term Section 7 Geometric Patterns Copyright Reserved

45 Grade Play! Mathematics Answer Book 0 Question Drawing and Describing Repeating Patterns: Part. Describe each pattern in words and then draw it one more time. a) b) The pattern is a triangle followed by two circles. The pattern is two triangles followed by one square. c) The pattern is a sun, followed by a triangle and then a cube. d) The pattern is a rectangle, followed by a circle and then by a rectangle. e) The pattern is a triangle, followed by a rectangle and then by a triangle. f) The pattern is a triangle ( ), followed by a cylinder and then by a triangle ( ). g) The pattern is an arrow ( ), followed by triangles and then by an arrow ( ). h) The pattern is a sun, followed by triangle ( ), followed by a sun and then by a triangle ( ). Term Section 7 Geometric Patterns Copyright Reserved

46 Grade Play! Mathematics Answer Book 0 Question Drawing and Describing Repeating Patterns: Part. Describe each pattern in words and then draw the next diagrams in each. a) b) The pattern is a triangle followed by a circle and then a square. The pattern is a cube followed by a triangle and then a rectangle. c) The pattern is a rectangle, followed by two circles. d)* The pattern is a triangle ( ), followed by a plus/cross and then another triangle ( ). e) The pattern is triangles, followed by a cylinder. f)* g)* The pattern is an arrow ( ), followed by triangles, followed by an arrow ( ). h)* The pattern is a smiley, followed by triangle ( ), a smiley, and then a triangle ( ). The pattern is of this shape: which is facing up, right, down and then left. Term Section 7 Geometric Patterns Copyright Reserved

47 Grade Play! Mathematics Answer Book 0 Question Growing Patterns with a Constant Difference of. Study: A constant difference means that the same number of shapes/objects are added to each new diagram in a pattern. For these questions, the constant difference is. No. is short for number.. Draw the th diagram in the pattern and then complete the table. Diagram number 9 No. of squares 9 Rule: No. of squares = Diagram number. Draw the 5 th diagram in the pattern and then complete the table and the rule. Diagram number No. of triangles Rule: No. of triangles = Diagram number. Study the pattern below and then complete the table and the rule. Diagram number 9 No. of bricks 9 Rule: No. of bricks = Diagram number 5. Draw the 5 th diagram in the pattern and then complete the table and the rule. Diagram number 5 No. of circles 5 Rule: No. of circles = Diagram number 6.* Draw the 5 th diagram in the pattern. a) How does this pattern differ from the pattern in question 5? Each diagram has circle more. b) Complete the table and the rule: Diagram number 5 No. of circles 5 6 Rule: No. of circles = Diagram number + Term Section 7 Geometric Patterns Copyright Reserved

48 Grade Play! Mathematics Answer Book 05 Question 5 Growing Patterns with a Constant Difference of. Draw the th diagram in the circle pattern. a) How many circles are added from diagram to diagram? circles b) Complete the table and the rule: Diagram number 6 0 No. of circles Rule: No. of circles = Diagram number multiples of We are working with multiples of. Therefore the rule is. Draw the th diagram in the circle pattern. a) How many circles are added from diagram to diagram? circles b) How does this pattern differ from the pattern in question? Each diagram has circle less. c) Complete the table and the rule: Diagram number 6 0 No. of circles Rule: No. of circles = Diagram number. Draw the missing rd diagram in the circle pattern. multiples of minus a) How many circles are added from diagram to diagram? circles b) How does this pattern differ from the pattern in question? Each diagram has circle more. c) Complete the table and the rule: Diagram number 7 No. of circles Rule: No. of circles = Diagram number + multiples of plus When there is a constant difference of then the first part of the rule is to multiply the inputs by and then add or subtract a number, to get to the correct outputs. Term Section 7 Geometric Patterns Copyright Reserved

49 Grade Play! Mathematics Answer Book 06 Question 6 Growing Patterns with a Constant Difference of. Draw the rd diagram in the pattern. a) How many squares are added from diagram to diagram? squares b) Complete the table and the rule: Diagram number 6 0 No. of squares Rule: No. of squares = Diagram number multiples of. Draw the rd diagram in the pattern. a) How many squares are added from diagram to diagram? squares b) How does this pattern differ from the pattern in question? Each diagram has square more. c) Complete the table and the rule: Diagram number 6 0 No. of squares Rule: No. of squares = Diagram number + multiples of plus Question 7 Growing Patterns involving -D Objects. Study the patterns below and then complete each rule and table. a) Rule: No. of bricks = Figure number Figure number 9 0 No. of bricks b)* Rule: No. of bricks = Figure number Figure number 7 0 No. of bricks Term Section 7 Geometric Patterns Copyright Reserved

50 Grade Play! Mathematics Answer Book 07 Section 8: Symmetry Question Shapes and Letters TERM. Study: A line of symmetry divides a shape in half so that the one side fits exactly on the other side when folded. Dotted lines are drawn to show symmetry. Vertical Horizontal Diagonal. Draw the line of symmetry in each of the figures below. Say whether the line is vertical or horizontal. a) b) c) d) e) Vertical Horizontal Vertical Vertical Horizontal. Draw the line(s) of symmetry in each of the given capital letters. A B C D M E. Many objects have or more lines of symmetry: For example: 5. Draw the lines of symmetry in the square and the rectangle below and then answer the questions. a) A square has lines of symmetry. b) A rectangle has lines of symmetry. A rectangle does not have a diagonal line of symmetry like a square because the sides are not the same length. If you fold this rectangle diagonally so that a corner meets an opposite corner, the sides do not match. Try it with a piece of notebook paper. Term Section 8 Symmetry Copyright Reserved

51 Grade Play! Mathematics Answer Book Triangles A, B and C below are not the same. Therefore they do not have the same number of lines of symmetry. A B C symmetry lines symmetry line 0 symmetry lines 7. Draw the line(s) of symmetry in each of the figures below. a) b) c) d) e) f) g) h) Question Everyday Objects. Many objects in our homes or in nature are symmetrical.. Consider the objects below. Which ones are symmetrical? B, C and D A B C D E Term Section 8 Symmetry Copyright Reserved

52 Grade Play! Mathematics Answer Book 09 Question Mirror Images. Draw the other part of each shape using the line of symmetry. (In other words draw the shape s mirror image or reflection.) a) b) c) d) e) f). Draw the next diagrams in the pattern. Assessment. Complete: D Object Name Number of Faces Shape of Faces a) cube 6 Square b) squarebased 5 pyramid. True or False? - It has. a) A square has lines of symmetry. False b) The line drawn in the triangle is a line of symmetry. False - It is a multiple. c) 5 is a factor of 5. False d) is a factor of all even numbers. True square triangles. Complete: a) 7 7 = 9 b) 6 0 = 0 c) 8 50 = 00 d) 0 = 60 e) 0 0 = 600 f) 5 = 7 5. Precious buys t-shirts for her son, Otsile. If she pays with a R00 note, how much change does she receive? R65 / t-shirt R00 (R65 ) = R00 R95 = R5 change Term Section 8 Symmetry Copyright Reserved

53 Grade Play! Mathematics Answer Book 0 Question Mental Maths: Addition Section 9: Addition and Subtraction TERM. Complete: a) = b) = c) = 5 d)* = = = = = = = = = = = = = = = = = 8 + = = = = 58 + = = = = Question The breaking-down method. Complete: a) = 90 b) = 0 c) = 800 d) = = = = = = = = = = = = = 500. Complete using the breaking-down method. a) Th H T U b) Th H T U c) = = = d) = = = 80 e) = = = 500 f) = = = 000 g) 58 7 = = = 58 h) = 55 Question The vertical-column method: Addition. Complete: Example Example Example a) b) c) 96 + d) = 5895 = 7885 = 680 = 598 e) f) g) h) = 599 = 79 = 66 = 955 Term Section 9 Addition and Subtraction Copyright Reserved

54 Grade Play! Mathematics Answer Book Question The vertical-column method: Subtraction. Complete: Example Example 7 Example a) 95 6 b) c) 79 d) = = 9 = 68 = 9 e) 9 6 f) 58 6 g) h) = 99 = 98 = 598 = 868 Question 5 Mixed Questions. Complete: The vertical-column method is recommended. a) = b) = 8 c) = d) = 5 95 e) = 9 f) = 6 07 Question 6 Adding three numbers. Complete: a) 65 b) = 5 68 c) = d) = e) = 7 5 Question 7 Problem Solving. A farmer has 76 sheep on one of his farms and 75 sheep on the other farm. a) How many sheep are there on the two farms together? = 98 b) How many more sheep are there on the one farm than on the other? =. An truck driver travelled 86 km, 586 km and 8 km during trips. How far did he drive altogether? = 780 km. I have R5059 and spend R95. How much money do I have left? R = R76.* A fruit company has 000 trays of mangos to sell over the weekend. On Saturday 50 trays were sold and on Sunday 95 trays were sold. How many trays were not sold? = 750 or = 65 and = 55 and = 55 Term Section 9 Addition and Subtraction Copyright Reserved

55 Grade Play! Mathematics Answer Book Question 8 Inverse Operations. What is the inverse operation of addition? Subtraction. Complete: a) = 9000 b) = 85 means = 7500 means = 50 and = 500 and = 575. Complete: a) = 5 b) = 9 means = 575 means = 8795 and = 575 and = Write one addition number sentence for each subtraction number sentence. a) = = 58 b) = = Write two subtraction number sentences for each addition number sentence. a) = = 987 b) = = = = 95 [In this section, always big small ] [In this section, always big small ] *6. Use inverse operations to calculate the missing numbers in each. a) + = 7 [7 = ] b) 8 6 = [6 + = 8] c) 5 + = 7 [7 5 = ] d) 7 = 5 [7 5 = ] = [ 5 = 8] 0 7 = [7 + = 0] = 6 [6 9 = 7] 0 6 = [0 = 6] = [ 9 = 5] 90 0 = 60 [ = 90] = 80 [80 0 = 60] = 0 [80 0 = 50] = 80 [80 0 = 50] 0 70 = 0 [ = 0] = 0 [0 80 = 0] 0 90 = 0 [0 0 = 90] Question 9 Word Problems (Sum and Difference). The sum of two numbers is. The one number is = What is the other number? 8 =. The sum of two numbers is 50. The one number is = 50 What is the other number? = 80. The difference between two numbers is 0. The larger number is 90. What is the other number? = = 70.* The difference between two numbers is = 0 What is the larger number if the smaller number is equal to 80? = 0 = 0 Term Section 9 Addition and Subtraction Copyright Reserved

56 Grade Play! Mathematics Answer Book Section 0: Division Question Speed Exercises TERM. Complete: Hint: Check your answers with multiplication. a) = b) 0 5 = 6 c) 0 8 = 5 d) 8 6 = 8 = 0 6 = = = = 8 = 0 = = = 6 6 = = 56 8 = 7 6 = 6 = = = 8 8 = 6 9 = 70 0 = = 9. Complete: a) 6 = b) = 6 c) 6 = 9 d) 8 6 = 8 5 = 5 6 = 6 6 = = 9 Question Division (-digit by -digit). Complete: 0 = 0 Think T = T a) 0 = 0 b) 50 5 = 0 c) 60 6 = 0 d) 70 7 = 0 e) 90 9 = 0 f) 0 = 0 g) 0 = 0 h) 80 8 = 0. Complete: 8 = Think T = T and 8U = U a) 6 = b) 55 5 = c) 6 = d) 9 =. Complete: a) b) 6 c) 5 = d) 5 = 7 and means 0 = 0 = = and means 0 = 0 = 6 6 = 6 e) g) 75 5 = = f) h) 7 = =. Complete: 60 = 0 Think 6T = T a) 0 = 0 b) 60 = 0 c) 90 = 0 d) 80 = 0 6 = 68 = 96 = 88 = 5. Complete: a) 7 b) 58 = 9 c) 69 = d) 9 = and means 60 = 0 = 7 = e) h) 75 = 5 8 = 8 f) i) 96 = 87 = 9 g) j) 78 = 6 96 = Term Section 0 Division Copyright Reserved

57 Grade Play! Mathematics Answer Book Question Problem Solving ( ). sweets are shared equally amongst children. How many sweets will each child get? = sweets.. Zuki has 7 watermelons. She wants to pack them into crates with in watermelons each. How many crates does she need? 7 = 8 crates.. Jane has 8 pears. She needs to pack an equal number of pears into bags. How many pears must she pack into each bag? 8 = 8 pears into each bag.. Sam has 96 sweets. She wants to make party packs of sweets each. How many party packs will she be able to make? 96 = party packs. Question Division with Remainders See pg.. If one number doesn t divide into another an exact number of times, we get a remainder. Examples: a) = remainder, because ( ) + =. b) = 5 remainder, because (5 ) + =. or ( ) + = or ( 5) + =.. Fill in the missing numbers..* Complete by mental calculation: a) = because = a) = r = r because ( ) + = b) 6 5 = r 5 = r because ( ) + = 5 c) 0 6 = r b) 0 = 5 because 5 = 0 d) = 7 r = 5 r because (5 ) + = e) 5 8 = r = 5 r because (5 ) + = f) 7 = 6 r c) 6 6 = 6 because 6 6 = 6 g) 0 9 = r 7 6 = 6 r because (6 6) + = 7 h) 5 = 6 r 0 6 = 6 r because (6 6) + = 0 i) 8 = 5 r d) 9 7 = 7 because 7 7 = 9 j) 50 7 = 7 r 50 7 = 7 r because (7 7) + = 50 k) 67 8 = 8 r 5 7 = 7 r because (7 7) + = 5 l) 7 9 = 8 r 0. Complete: a) 58 b) 9 = 9 r c) 7 = 5 r d) 59 = r and means 0 = 0 8 = r 58 = r e) h) 6 5 = r 7 = r f) i) 77 6 = r 5 9 = r g) j)* 95 7 = r 80 = 6 r Term Section 0 Division Copyright Reserved

58 Grade Play! Mathematics Answer Book 5 Question 5 Problem Solving (Division with Remainders). There are 75 people attending a party. 8 people can be seated at one table. How many tables are needed to seat all the guests? 75 8 = 9 r 0 tables are needed. This means that 9 tables will be full and there will be guests at the 0 th table.. There are 86 people attending a party. 6 people can be seated at one table. How many tables are needed to seat all the guests? 86 6 = r 5 tables are needed. This means that tables will be full and the 5 th table will only have guests.. A car can transport 6 people. How many cars are needed to transport 0 people? 0 6 = 6 r 7 cars are needed. This means that 6 cars will be full and the 7 th car will have passengers.. A minivan can transport 8 people. How many minivans are needed to transport 70 people? 70 8 = 8 r 6 9 minivans are needed. This means that 8 minivans will be full and the 9 th minivan will have 6 passengers. Question 6 Calculating the Price per Item (Rate). Study: To work out a rate involving price we always want to know what item will cost. Example: If it costs R for chocolates, it means that it costs R for chocolate This rate is calculated as follows: R chocolates = R/ chocolate. Calculate the price of each of the following items? (What will item cost?) a) avocados cost R0. (R0 ) c) R for notebooks. (R ) R 5 / avocado b) 7 crayons cost R56. (R56 7) R /notebook d) R85 for 5 pens. (R85 5) R 8 / crayon R 7 / pen. Four pies cost R60,00. Sally says that each pie costs R. Is she correct? No she is not correct. R60 = R5/ pie Question 7 Determining the Best Buy. Calculate which option is the cheapest: a) avocados cost R6. = R6 avocados = R8/ avocado or avocados cost R5. = R5 avocados = R5/ avocado Answer: Option is cheaper. b) R60 for brooms. = R60 brooms = R0/broom Answer: Option is cheaper. c) 6 bottles of juice cost R7. = R7 6 bottles = R/bottle Answer: Option is cheaper. or R9 for brooms. = R9 brooms = R/broom or R56 for bottles of juice. = R56 bottles = R/bottle Term Section 0 Division Copyright Reserved