Write each amount in the place-value table and then in the box.

Transcription

1 Write each amount in the place-value table and then in the box. a) Th H T U 6 6 b) Th H T U c) Th H T U Write these numbers with words in your exercise book. a) i) 0 five thousand and thirty two ii) 0 five thousand, three hundred and two iii) 0 two thousand and thirty five iv) 0 two thousand, three hundred and fifty b) i) 60 one thousand, six hundred and four ii) 60six thousand, four hundred and one iii) 06 four thousand and sixteen iv) 60four thousand, six hundred and one Show each number as the sum of thousands, hundreds, tens and units. Th H T U 6 = = = = = = Fill in the missing digits. a) = b) 60 = c) 0 = d) 6600 = e) 6 = f) g) 0 = = Page

2 Write the numbers in the place-value table. TTh Th H T U Eight thousand, three hundred and sixty three 6 Nine thousand and sixty four 0 6 Two thousand, seven hundred and five 0 Six thousand, nine hundred and seventy Nine hundred and sixteen Fill in the missing digits and place values. a) i) = Th + H + T + U ii) 06 = Th + 0 H + 6 T + U iii) 0 = Th + H + 0 T + U b) i) 60 = 6 Th + 0 H + T + U ii) 6 = Th + H + 6 T + U iii) 60 = Th + 6 H + 0 T + U In your exercise book, write ten numbers: a) in increasing order, starting at and counting up at a time.,,,, 06,, 0,,, b) in decreasing order, starting at 0 and counting down 0 at a time. 0, 0,,,,,,, 6, 6 c) in increasing order, starting at 0 and counting up 0 at a time. 0,, 0, 6,, 0,, 6, 6, Join up the equal values. Th + H + T DCCCLXXIV MDXXX H + T + U Th + T + U Page

3 Which numbers do the letters stand for? Write them in the boxes. a) a b c d e b) a b c d e c) a b c d e Mark with a dot where each letter should be on the relevant number line. a = 6 a b = c = d = e = f = 6 e c f b d 60 0 Write the next smaller and greater whole tens, hundreds and thousands in the boxes. 000 < 00 < 60 < 6 < 0 < 00 < < 600 < 60 < 6 < 60 < 600 < < 00 = 00 < 06 < 0 < 00 < < 00 < 0 < < 0 < 00 < < 00 < 0 < < 0 < 00 < 000 Colour the nearest ten red, the nearest hundred green and the nearest thousand blue. Write in the boxes the numbers described. a) The smallest -digit: i) number 000 ii) odd number b) The greatest -digit: i) number ii) odd number c) The greatest -digit number divisible by: i) ii) 0 d) The greatest -digit number divisible by 00 which has 00 the same digit in its hundreds and thousands columns. Page 00 0

4 Write the numbers in the correct places in the set diagrams. A = { 0,,,, 60, 6,,, 00, 6, 000 } a) Even Divisible by Not divisible by b) A 6 Even Odd Divisible by Round the numbers to the nearest: ten hundred thousand a) b) c) d) 600 = = e) f) 0 0 = Mark on the number lines those numbers which round to: a) 00, to the nearest hundred b) 60, to the nearest ten c) 000, to the nearest thousand Page

5 Fill in the missing numbers. a) 6 = b) H = c) = d) + 6 = 000 e) = f) 0 00 = The distance travelled by a plane from New York to London is 6 km. What is this distance rounded to the nearest: a) 0 km b) 00 km c) 000 km? 0 km 600 km 6000 km Which is more and by how much? Fill in the missing signs and differences. a) 0 > b) < 6 c) + 0 > 0 0 d) 00 > e) + > f) 60 > 0 0 Write a plan and do the calculation in your exercise book. Write the answer here. a) The difference between two numbers is 0. The smaller number is 60. What is the other number? 60 b) The difference between two numbers is 0. The larger number is 60. What is the other number? 0 a) Write these numbers in increasing order. 60, 06, 06, 06, , , , , b) Write these numbers in decreasing order., 0, 00, 0, 00, 0, 00, , , ,......, , , , Page

6 Practise addition. a) + = = = = b) + 6 = = = = c) + = = = = 0000 d) + = + = = = 00 Practise subtraction. a) = 0 0 = = = 000 b) 0 0 = = = = 000 c) 0 = 00 0 = = = 000 d) 6 = 6 = 0 60 = = 00 Fill in the missing numbers. a) = 0, = 00, = 000 b) 0 60 = 0, = 00, = 000 c) = 0, = 00, = 000 d) 0 60 = 0, = 00, = 000 e) + =, = 00, = 000 f) 0 0 = 0, = 00, = 000 Write operations and calculate the result. a) What is the sum of 00 and 00? = = b) What is the difference between 00 and 00? = = c) One term in an addition is 00. The sum is 00. What is the other term? = = d) What is the subtrahend if the reductant is 00 and the difference is 00? = = Page 6

7 Do the calculations. Colour the equal results in the same colour. a) = 00 e) = 00 b) = 600 f) = c) = 00 g) = d) = 00 h) = Calculate the sums as simply as you can. Show your calculations in detail. a) = (60 + 0) + ( ) = = 00 b) = (0 + 60) + ( ) = = 600 c) = (0 + 0) + (0 + 0) = = 00 Do part a) in your exercise book. Use the result to help answer parts b) and c). Ann had 00 p. How much more did she have than: a) Peter if Peter had 00 p p p.. = p..(=...00) Ann had 00 p (=.00) more than Peter. b) John if John had 00 p. Ann.... had p..(=...00) more.... than.... John... c) Diane if Diane had 00 p?. Ann.... had p..(= ) more.... than.... Diane... Do part a) in your exercise book. Use the result to help answer parts b) and c). Each pupil on a school trip spent 00 p. How much money did: a) Finlay have left if he took 000 p p p.. = p. (=....00)... Finlay had 00 p (=.00) left. b) Emma have left if she took 600 p.. Emma had p. (=....00) left.... c) Lee have left if he took 00 p?.. Lee.... had p. (=....00) left Complete the magic squares. a) b) The sum of any row, column or diagonal is the same Page

8 Estimate quickly, then calculate the sum. a) E: = 0 0 C: b) E: = 0 0 C: c) + E: = 0 0 C: + Complete the additions and then check them. a) b) c) d) Estimate first then calculate the difference. Check the subtraction in two ways. a) = 0 0 C: 6 Check: b) = C: 6 Check: The sum of any two adjacent numbers is the number directly above them. Fill in the missing numbers. a) b) 00 c) Page

9 Do the operations in the correct order. Calculations a) i) + 6 = 600 ii) ( ) + 6 = iii) ( + 6) = b) i) 00 6 = ii) (00 ) 6 = iii) 00 ( 6) = Fill in the missing numbers. a) = = 00 = = = + 00 = b) = = 00 = = = 00 = 600 Solve the problem. The castle is km 6 m from the forest. There is a waterfall between the castle and the forest. It is km 6 m nearer to the castle than to the forest. a a + 6 m waterfall 06 m How far away is the waterfall from the castle?.. a. =..( m m) = m = m The waterfall is 06 m from the castle. Write a plan, do the calculation and write the answer in your exercise book. a) In Appletown, the number of inhabitants is 6. The number of females is 0. How many males live there? 0 males live in Appletown. b) In Bananaville, there are 6 females, 60 more than the number of males. How many males live there? 6 males live in Bananaville. c) There are 00 inhabitants in Dombleland, 00 more adults than children. How many adults and how many children live there? 6000 adults and 00 children live in Dombleland. Page

10 Fill in the missing digits. a) 6 b) 6 c) d) The population of the village of Lakeside is 6. What is its population rounded to the nearest: a) 0 b) 00 c) 000? Solve the problems in your exercise book. a) There were 600 people at a football match. 60 were men, 00 were women and the rest were children. How many children were at the match? There were 0 children at the match. b) A farmer has 0 ducks. He has more chickens than ducks. How many chickens and ducks does he have altogether? The farmer has ducks and chickens altogether. c) There are 6 beads in a bag. 06 are white, 0 are red and the rest are blue. How many blue beads are in the bag? There are blue beads in the bag. Using each of the digits,, and once only, write: a) the largest possible number b) the smallest possible number c) the largest possible even number d) the smallest possible odd number e) two -digit numbers which have the smallest difference and..... Fill in the numbers missing from the snakes. Write the rule in their heads. a) b) c) x, x Page 0

11 Write the products. a) 6 = 0 6 = 0 60 = = 00 b) = 0 = 0 00 = = 00 c) = 0 = 0 00 = = 00 d) = 6 0 = 60 0 = = 600 e) 6 = 60 = = = 00 f) = 0 = 0 00 = = 00 Fill in the missing numbers. a) = 0 = 0 00 = 00 b) = 0 = 0 00 = 00 c) 6 = = = 000 d) = 6 0 = = 600 e) = 0 = = 00 f) 6 = 60 = = 00 Write the products. a) = 0 = 0 00 = = 0 = 0 00 = = 0 = 0 00 = b) = 0 = 0 00 = = 0 = 0 00 = = 0 = 0 00 = Fill in the missing numbers. a) 6 6 = = = = b) = 0 = = 0 00 = c) = 0 = = 0 00 = d) =, 0 0 =, 0 = 0, 00 0 = 0 e) =, 0 0 =, 0 = 0, 00 0 = 0 f) = 6, 0 0 = 6, 0 = 60, 00 0 = 60 Page

12 Fill in the missing numbers. a) + Th H T U Th H T U U = U T = T = H + T H + H = H Th = Th b) ) Th H T U Th H T U 6U = U = T + U 6 6 T + T = T = H + T H + H = 0 H = Th + 0 H 6 0 Th + Th = Th Estimate first, then calculate with addition and with multiplication. a) E: 600 x = 000 b) E: 00 x 6 = Which is more? How many more? Write in the missing signs and differences. a) 6 times 0 = 0 times 60 b) times > times 0 c) times 00 < times 00 d) times > times Write these digits in the boxes so that the product is less than and it is E.g: a) odd b) even c) a -digit number Page

13 Fill in the missing numbers. a) 6 = 0 6 = = 00 = 0 = 0 00 = 00 6 = 60 = = 00 b) 6 = = 600 = = = = 0 60 = = = Divide 60 into equal parts. Fill in the missing items. Calculation: E: 6000 < 60 < 000 Th H T U 000 < quotient < r Details: 6 0 Th = Th, because 6 Th = 6 Th, and Th remains. 6 Th + 6 H = 6H; 6H = H, because H = H, and H remains. H + T = T; T = T, because T = T, and T remains. 0 T + 0U = 0 U, 0 U = 6 U, because 6 U = U, and U remains. Do the divisions and check them with multiplication. a) Th H T U Th H T U b) Th H T U r r 6 6 H T U Ch: Ch: Page 6

14 How many unit cubes have been used to build the cuboids? Calculate the volume in different ways. E.g: a) b) V = V = V = = 6 units = 6 units = 6 units V = V = V = 6 = 6 units 6 = 6 units 6 = 6 units Fill in the missing numbers. a) 6 6 = 6 + b) = 6 a) How many squares can you count in this diagram? b) How many squares could you count in i) 6 of these diagrams ii) 060 of these diagrams? Solve the problems in your exercise book. a) 6 soldiers are on parade. They are marching in rows of 6. i) How many rows are there? There are 6 rows. ii) Does the last row contain fewer soldiers than the other rows? One of the rows contains fewer soldiers b) What would your answers be if the soldiers were marching in a rows of? There would be 0 rows of and one row of soldiers = rows. Fill in the missing numbers. 6 a) b) c) Page

15 a) How many triangles can you see in this diagram? b) How many triangles could you see in i) 00 of these diagrams ii) 000 of these diagrams? 6000 Fill in the missing numbers. 6 a) b) c) How many different results can you find? Use +,, or signs = 6 ways List the operations and results in your exercise book. See Lesson Plan for list of operations. Mr. Black bought 000 kg of coal. He used about kg each week. a) How much coal had he used after 6 weeks? kg.. x.. 6. = kg. b) How much coal did he have left after 6 weeks? kg kg.. = kg. c) After how many weeks might he run out of coal? Mr... Black might... run out of coal after weeks Practise multiplication. Complete the tables as quickly as you can! How many times is the digit used in all the whole numbers from 0 to 00?..... The.... digit..... is.. used times Page

16 a) How many rectangles are in this diagram? b) How many rectangles would be in such diagrams? c) What is the area of the diagram? A =.. square units d) What is the perimeter of the diagram? P =... units Scale: cm on the diagram m in real life Antsnest Cricketfield a) How far away in real life is: i) Bearsden from Antsnest? m ii) Cricketfield from Antsnest? m Bearsden b) What distance in real life is the round trip? m a) Draw -unit perimeters which b) Draw 6-unit perimeters which enclose a triangle, enclose different rectangles. a quadrilateral and a pentagon. E.g: Measure cm from point C on the lines. Join up the points. a) b) C C What shapes have you made?... Have..... made..... rectangles In.. b) the shape is also a square. Page 6

17 In your exercise book, make a plan, estimate, calculate, check and write the answer as a sentence. a) The highest mountain in Europe is Mont Blanc which is 0 m high. It is 0 m lower than Mount Everest. How high is Mount Everest? Mount Everest is m high. b) The River Danube is 0 km long and the River Nile is 660 km long. How much longer is the River Nile than the River Danube? The River Nile is 0 m longer than the River Danube. c) The deepest point in the Pacific Ocean is near Japan and is 0 60 m below sea level. The highest point in Japan is 6 m above sea level. What is the difference between these two points? The difference between the two points is km 6 m. Mark the parallel and perpendicular lines on this capital E. We started to draw the letter E on this grid in different positions and sizes. Complete the drawings. a) c) e) f) b) d) g) or List the polygons for which each statement is true. 6 a) It has a right angle...,..,..,.. 6, b) Every angle is a right angle..., c) It has no right angles...,.., d) It has an angle which is not a right angle...,..,..,..,.., e) Every angle is a right angle but it is not a rectangle.. None The minute hand on the clock is pointing to o'clock. Through how many right angles will it turn after 6 a) minutes b) 0 minutes c) minutes? Page

18 In your exercise book, make a plan, estimate, calculate, check and write the answer as a sentence. a) The distance between Budapest (Hungary) and London (UK) is 0 km. It is 0 km less than the distance between Washington (USA) and Budapest. How far is Washington from Budapest? Washington is 00 km from Budapest. b) A tourist drew this rough map of where he had travelled. Lisbon 6 km km Madrid Paris 60 km Frankfurt km Vienna km Budapest i) How far did he travel from Lisbon to Budapest? He travelled km. ii) Which part of his route was longer, Lisbon to Paris or Paris to Budapest? Lisbon to Paris was the longer part. In a dress pattern, there are these different shapes of pocket to choose from. A B C D E F G H I J K L List the shapes for which each statement is true. a) It has only straight sides. b) It has at least one straight side... A,... B,.. D,... F,.. G,.. H,... J,. L A,.. B,.. C,... D,.. E,.. F,.. G,... H,.. J,.. K,... L c) It has only curved lines.. I d) It is a pentagon... D,.. J e) It has parallel sides. f) It has perpendicular sides... A,... B,.. D,... F,.. H,.. J,.. L B,.. D,.. E,... F,.. H,.. J,.. L g) It is a quadrilateral.. A,.. B,... F,.. G,.. L. h) It is a hexagon.. H i) It is a rectangle.. F,.. L j) It is a square.. L Draw a line through the point given so that it is parallel to the other two lines. a) b) c) Page

19 Do the calculations for b) and c) in your exercise book. a) How many unit cubes does this cube contain? b) How many unit cubes would 6 of these cubes contain? 0 c) How many of these large cubes could be built from 6 unit cubes? 06 a) In each diagram, mark right angles in red like this, R angles smaller than a right angle in blue like this, B angles larger than a right angle in green like this. G G G A B B C D E B B R B R G R R B R R R B B B R R F R R G G G G B G G G G H B b) List the letters of the shapes for which each statement is true. i) It is a square.. F ii) It is a rectangle.. C,.. F iii) It is a quadraliteral.. A,.. B,... C,. Fiv) It is a triangle.. D,.. E,... H.... v) It has at least one right angle.. B,.. C,... D,.. F vi) Every angle is a right angle.. C,.. F vii) It has at least one angle smaller than a right angle.. A,.. B,... D,.. E,.. H. viii) All its angles are smaller than a right angle.. E ix) It has at least one angle larger than a right angle.. A,.. B,... G,.. H... x) All its angles are larger than a right angle.. G Two sides of a quadrilateral have been drawn. Complete the shape so that: a) it has at least b) of its sides c) it has pairs of E.g: one right angle E.g: are parallel parallel sides. Page

20 The minute hand is pointing to. Compare the angle it turns with a right angle. Write in the missing signs. (<, >, =) 6 a) After minutes it has turned through an angle < a right angle. b) After 0 minutes it has turned through an angle < a right angle. c) After minutes it has turned through an angle = a right angle. d) After minutes it has turned through an angle > a right angle. e) After 0 minutes it has turned through an angle > a right angle. Complete the drawings and write how many right angles the arrow has turned if it: a) turns to the right: i) from N to NE ii) from N to SE iii) from E to SE N N N W E W E W E half right angle b) turns to the left: i) from N to NW S N ii) and a half S right angles from N to SW N half right angle iii) from W to SW S N W E W E W E half S right angle and a half S right angles half S right angle Join up of the 6 points to make a quadrilateral which has: a) only pair of b) pairs of c) pair of parallel and pair E.g: parallel sides parallel sides of perpendicular sides. Page 0