Math 6 Pre-assessment

Size: px

Start display at page:

Download "Math 6 Pre-assessment"

Neil Craig
5 years ago
Views:

1 Name: lass: ate: I: Math 6 Pre-assessment Multiple hoice Identify the choice that best completes the statement or answers the question. Use the four-step plan to solve each problem.. omplete the pattern:,, 0, 8,,,. a. 36,, 5 c. 35,, 9 b. 8, 5, 56 d. 36,, 5. ccording to the 000 U.S. ensus, there are approximately 3,5,000 males and 3,66,000 females in the United States. What is the total population? a. 69,86,000 c. 69,6,000 b. 69,88,000 d. 0,000,000 Tell whether the given number is divisible by, 3,, 5, 6, 9, or 0. Then classify each number as even or odd. If you never learned divisibility rules, please write a note to the teacher on your test and skip this question. 3.,93,9 a.,, 9, odd c.,, even b.,, odd d.,, 6, even Find the value of each expression.. ( + ) a. 03 c. 89 b. d. 5. f 3 if f = 8 a. 8 c. 8 b. 9 d. Solve the equation mentally. 6. m = a. 9 c. 8 b. 6 d. 5 Round each decimal to the indicated place-value position...89; tenths a. 9 c. b.. d. 0

2 Name: I: Write each decimal in standard form. 8. eighteen and fifteen thousandths a. 5.8 c b. 8.5 d Order each set of decimals from least to greatest. 8, 8.6, 8.5,.80 a. 8.6, 8, 8.5,.80 c..80, 8.5, 8, 8.6 b. 8.6, 8.5, 8,.80 d..80, 8, 8.5, 8.6 Estimate using rounding a..6 c. 0 b..63 d a..05 c b. 05. d. 0.5 ivide. Round to the nearest tenth if necessary a.. c.. b. 9. d. Find the perimeter of each figure. a..0 in. c. 6.3 in. b. 8.8 in d..6 in.

3 Name: I: Write each fraction in simplest form a. 3 b. 6 6 c. d. Write each mixed number as an improper fraction a. 8 b. 8 c. 5 8 d. 8 5 Write each improper fraction as a mixed number a. 3 b. 3 c. 6 d. Replace each with <, >, or = to make a true statement a. = b. > c. < Round each number to the nearest half a. c. 0 b. 3 a. 3 d. c. b. 0 d. dd or subtract. Write the answer in simplest form a. 9 c. b. 3 d. 3 3

4 Name: I: a. b c. 5 d a c. b. d a. c. 3 b. d. 3. Tell whether each pair of figures is congruent, similar, or neither. a. congruent b. similar c. neither

5 I: Math 6 Pre-assessment nswer Section MULTIPLE HOIE. Find the number added between terms (8) and then continue the pattern. orrect! id you check each term before deciding to multiply? How much is added between each term? e careful adding between each term.. To find the total population, add the number of males and the number of females. orrect! id you include the date in your addition? id you forget to carry a one? id the question ask for an estimate? 3. number is divisible by: if the ones digit is divisible by. 3 if the sum of the digits is divisible by 3. if the number formed by the last digits is divisible by. 5 if the ones digit is 0 or 5. 6 if the number is divisible by both and 3. 9 if the sum of the digits is divisible by 9. 0 if the ones digit is 0. number is even if it is divisible by. What is the divisibility rule for 9? How do you determine if a number is odd or even? How do you determine if a number is odd or even? orrect! What is the divisibility rule for 6?

6 I:. o all powers before other operations. Perform operations within grouping symbols. Multiply and divide in order from left to right. dd and subtract in order from left to right. e careful with addition and subtraction. id you perform the operations within the parentheses? orrect! id you perform the operations within the parentheses? 5. You can evaluate an algebraic expression by replacing the variables with numbers and then finding the value of the numerical expression. e careful with order of operations. id you do addition or subtraction before multiplication or division? e careful with addition and subtraction. orrect! 6. Some equations can be solved mentally by using basic facts or arithmetic skills you know. What can you replace the variable with to make a true statement? Use basic facts or arithmetic skills you know. orrect! oes that make the equation true?. etermine what place value is indicated. Round the decimal to that place value. What place value are you rounding to? orrect! What place value are you rounding to? What place value are you rounding to? 8. Thousandths is the third decimal place. Therefore 8.05 is the appropriate answer. The digits 5 are part of the decimal of the number. Thousandths is three decimal places. orrect! Thousandths is three decimal places.

7 I: 9. Look at each number from left to right. egin with the tens digit of each number. If one of the digits is smaller, this is the smallest number. If the digit is the same, compare the digit to the right. ontinue until the numbers are in order from least to greatest. heck the order of the first and last terms. This is greatest to least. The question asked for least to greatest. heck the order of the middle terms. orrect! 0. Round both numbers to the nearest whole number. Then add or subtract the rounded numbers. Round both numbers to the nearest whole number. Remember to round. Round both numbers to the nearest whole number. orrect!. When multiplying a decimal by a whole number, multiply as with whole numbers. One way to determine where to place the decimal point in the product is to use estimation either with rounding or using compatible numbers. You can also determine where to place the decimal point in the product by counting the number of decimal places in the decimal factor. The product must have the same number of decimal places. If more decimal places are needed, annex zeros. id you estimate before multiplying? How did you determine the decimal places in the answer? e careful with your multiplication. orrect!. When dividing a decimal by a whole number, place the decimal point in the quotient directly above the decimal point in the dividend. Then divide as you do with whole numbers. orrect! e careful with your division. e careful with placement of numbers in the quotient. id you place the decimal in the quotient directly above the decimal in the dividend? 3

8 I: 3. The perimeter of a rectangle is the sum of the measures of the sides. It can also be expressed as two times the length (l) plus two times the width (w) =.6 e careful with your addition. id you multiply length times width? id you consider all four sides? orrect!. Sample: 33 What is the greatest common factor of both the numerator and denominator? ivide both the numerator and denominator by the greatest common factor to find the fraction in simplest form. 33 = 3 3 = 5. Sample: ouble check your work and try again. Is the fraction already in simplest form? This is only the case if there are no common factors between the numerator and denominator. orrect! ivide both the numerator and the denominator by their GF to simplify the fraction. 6 Multiply the denominator by the whole number and add the result to the numerator. 6 = + 6 = 0 e careful when multiplying the denominator by the whole number. Try again. on't forget to multiply the whole number by the denominator before adding it to the numerator. orrect! ouble check your work and try again. Remember, your answer should be an improper fraction.

9 I: 6. Sample: 6 3 ivide the numerator by the denominator and record the whole number. Leave the remainder in the numerator of the fraction with the original denominator. 5 R ivide the numerator by the denominator to find the whole number part of the mixed number. Then write the remainder over the original denominator. e careful with your division and try again. ivide the numerator by the denominator and record the whole number. Leave the remainder in the numerator of the fraction with the original denominator. orrect!. Sample: 3 6 Find the LM for both denominators. Rewrite each fraction using the LM. Then compare the fractions. 3 6 = 6 6 What is the LM of the denominators. Rewrite both fractions with the LM as the denominator. ouble check your work and try again. Remember to write both fractions with a common denominator before comparing them. orrect! 8. To round fractions and mixed numbers to the nearest half: If the numerator is almost as large as the denominator, round up to the next whole number. If the numerator is about half of the denominator, round the fraction to one-half. If the numerator is much smaller than the denominator, round down to the next whole number. Is the numerator about half, much larger, or much smaller than the denominator? id you round to zero, one-half, or one? Is your answer reasonable? orrect! 5

10 I: 9. To round fractions and mixed numbers to the nearest half: If the numerator is almost as large as the denominator, round up to the next whole number. If the numerator is about half of the denominator, round the fraction to one-half. If the numerator is much smaller than the denominator, round down to the next whole number. id you round to zero, one-half, or one? Is the numerator about half, much larger, or much smaller than the denominator? orrect! Is your answer reasonable? 0. To add fractions with like denominators, add the numerators. Use the same denominator in the sum. That is the product. orrect! That is the difference. id you add the denominators?. To find the sum of two fractions with unlike denominators, rename the fractions using the least common denominator (L). Then add and simplify. orrect! id you add the numerators and add the denominators? id you rename the fractions with a common denominator? That is the product.. To find the difference of two fractions with unlike denominators, rename the fractions with a common denominator. Then subtract the numerators and simplify. That is the sum. id you rename the fractions with a common denominator? That is the product. orrect! 3. To add or subtract mixed numbers, add or subtract the fractions. Then add or subtract the whole numbers. Rename and simplify if necessary. Is that the sum of the numbers? orrect! id you subtract the whole numbers and just bring down the fraction? id you rename correctly? 6

11 I:. The two triangles do not have the same size or the same shape. They are neither congruent nor similar. o the figures have the same size and shape? o the figures have the same shape but different sizes? orrect!

HOW TO DIVIDE: MCC6.NS.2 Fluently divide multi-digit numbers using the standard algorithm. WORD DEFINITION IN YOUR WORDS EXAMPLE

HOW TO DIVIDE: MCC6.NS.2 Fluently divide multi-digit numbers using the standard algorithm. WORD DEFINITION IN YOUR WORDS EXAMPLE MCC6.NS. Fluently divide multi-digit numbers using the standard algorithm. WORD DEFINITION IN YOUR WORDS EXAMPLE Dividend A number that is divided by another number. Divisor A number by which another number