Math Summer Practice 6th grade 1 Multiply by using mental ... · PDF fileMath Summer Practice...

Math Summer Practice 6th grade Name:_______________________

Date:_______________________

______________________________________________________________________________

1 Multiply by using mental math.

A 470,093B 470,930C 4,709,310D 47,093.1

2 Multiply by using mental math.

A 462,000,000B 46,200C 4,620,000D 462,000

3 Divide by using mental math.

A 30B 50C 100D 300

4 Divide by using mental math.

5,208 ÷ 65

A 8 R8B 80 R8C 80D 86 R18

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Math Summer Practice 6th grade ______________________________________________________________________________

5 Find the perimeter of the figure.

A 15 cmB 30 cmC 7.5 cmD 22.5 cm

6 What is the place of the underlined digit?

3,643,197

A fiveB thousandsC ten thousandsD forty thousands

7 Use the circle below. Use 3.14 for .

Find the circumference. Round to the nearest centimeter.

A about 6 cmB about 38 cmC about 19 cmD about 113 cm



8 Round the number to the place value indicated.

497,104; tens

A 479,000B 497,100C 497,000D 497,010

9 Round the number to the place value indicated.

4,078; hundreds

A 4,000B 4,100C 408D 4,080

10What is the value of the underlined digit?

98,543,687,205

A eight billionB billionsC eight millionD eight

11What is the value of the underlined digit?

101,462

A oneB hundred thousandC one hundredD one hundred thousand



12 Use <, =, or > to complete the statement.

23 ft ? 7 yd

A <B =C >

13 Use <, =, or > to complete the statement.

3 c ? 26 fl oz

A <B =C >

14 Choose the equivalent value for the measurement.

8,000 centimeters

A 80,000 mB 8 mC 80 mD 800 m


78,000 mL

A 7,800 LB 780,000 LC 780 LD 78 L




0.49 kg

A 49 gB 0.049 gC 490 gD 4,900 g

17 Rubber stripping for a trailer must be 6.96 meters long. About how many of these piecescan be cut from a 57.5-meter length of rubber stripping? Estimate by using compatiblenumbers.

A about 9 piecesB about 7 piecesC about 10 piecesD about 8 pieces

18 Estimate. Round each number to the nearest whole number before you subtract.

A about 5B about 3C about 4D about 2

19 Dr. Sperline is ordering a chemical for his students to use in an experiment. He knows thateach student will need to use 0.797 grams of magnesium in the first step of the experimentand 0.892 grams in a later step. He uses front-end estimation with an adjustment to figureout the approximate amount of magnesium needed by each student. What is his estimate?

A about 1.6 gB about 1.5 gC about 1.7 gD about 1.4 g



20 Use mental math to find the sum.

A 62B 64.1C 63.1D 63.6

21 Find the difference.

A 7.217B 8.217C 9.217D 8.117

22 Use mental math to find the sum.

A 42.4B 40.3C 39.3D 41.6

23 One of the events at the circus was Gabriella the Human Cannonball. On Saturday she didfour shows. Her distances measured 7.04 meters, 18.81 meters, 18.39 meters, and 19.94meters. What was the total distance Gabriella flew that day?

A 64.18 mB 74.18 mC 57.14 mD 59.24 m



24 Find the product.

A 5.9B 7.8C 3.9D 1

25 Find the quotient.

A 0.58B 5.8C 0.058D 0.0058


A 130B 0.013C 1.3D 0.13

27 Estimate the product.

A 450B 15C 45D 150



28 Frank has a batting average of 0.255. What is this decimal expressed as a fraction insimplest form?

A

B

C

D

29 What is the fraction expressed as a decimal?

A

B

CD



30 The results of a class election are shown in the table below. There were a total of 600

votes. For each candidate, which fraction shows ? What is each fractionas a decimal?

Candidate Number of Votes

Jeremy 152

Bina 104

Jun 136

Gregory 208

A

B

C

D

31 Order from least to greatest.

0.5, 0.86, , 0.67

A , 0.67, 0.5, 0.86

B 0.86, 0.67, 0.5,

C 0.5, 0.86, , 0.67

D , 0.5, 0.67, 0.86



32 Which ratio and percent represent the shaded area?

A

B

C

D

33 Choose the ratio and percent that represent the shaded area.

A

B

C

D



34In the small country of Varia, a bill becomes law only if of the senators approve it. Whatis the equivalent percent?

A 53%B 58%C 68%D 88%

35 How is the ratio expressed as a percent?

A 50%B 20%C 54%D 48%

36 Emilio attends school 180 days out of the 365 days in a year. For what fraction of the yearis Emilio in school? Choose the correct answer in simplest form.

A

B

C

D

37 Find the missing number.

A 11B 6C 8D 5



38 Use common factors to choose the two fractions equivalent to the fraction.

A

B

C

D

39 Which fraction is greater than the given?

A

B

C

D

40 Order from least to greatest.

A

B

C

D



41 During a soccer game, Erin scored 1 out of 3 goals attempted. Lauren scored 2 out of 8goals attempted. How would this situation be expressed by an inequality using fractions?Who was the most successful?

A ; Lauren

B ; Erin

C ; Lauren

D ; Erin

42 Compare. Use <, >, or =.

A <B =C >

43 Which statement is true?

A

B

C

D

44 How is the mixed number written as an improper fraction?

A

B

C

D



45 A pizza parlor sold the number of pizzas given below during a dinner hour.

If each pizza contained 8 slices, how many slices of pizza were sold?

A 305 slicesB 303 slicesC 46 slicesD 304 slices

46Peter measured the width of one cardboard strip as ft. A second cardboard strip

measured ft in width. Estimate the combined width of the cardboard strips.

A 5 ftB 7 ftC 6 ftD 12 ft

47 Estimate the product.

A 28B 21C 32D 24



48 Simplify.

A

B

C

D

49 Find the perimeter of rectangles with side lengths given below.

A

B

C

D

50 Find the difference.

A

B

C

D



51Shayla is baking muffins that require cup vegetable oil. She only has cup left. Howmuch more does she need?

A cup

B cup

C cup

D cup

52 Find the sum.

A

B

C

D

53A bread recipe calls for cup of white flour and cups of whole-wheat flour. What is thetotal amount of flour needed?

A cups

B cups

C cups

D cups



54Mai-li has yd of material. Her new skirt will take yd. How much material will she haveleft after the skirt is made?

A 8 yd

B yd

C 4 yd

D yd

55 Jaime is running a marathon, which is the following distance, in miles.

She passes her friends at the following mile mark from the beginning of the marathon.

After she passes her friends, she runs the following number of miles before passing awater stop.

How far from the finish line is Jaime?

A mi

B mi

C mi

D mi



56 Simplify.

A

B

C

D


A 4B 8

C

D 40

58Kathy walked miles per hour for hours. During of her walking time it rained. Howmany miles did she walk while it was raining?

A mi

B mi

C mi

D mi




A

B

C

D


A

B

C

D


A

B

C

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A

B

C

D

63 Ben bought 2.5 kilograms of bananas at the Farmer s Market. How many grams ofbananas did he buy?

A 25 gramsB 250 gramsC 2,500 gramsD 25,000 grams

64 What is the perimeter of a rectangular garden that has a length of 10 feet and a width of 6feet?

A 16 square feetB 30 square feetC 32 square feetD 60 square feet

65 A pathway is to be built around a circular garden at a park. The diameter of the gardenplus the pathway will be 7.5 yards. Which is the best estimate of the length of thepathway?

A 24 yardsB 35 yardsC 44 yardsD 47 yards



66 Which customary unit of measure would you use to estimate the perimeter of yourclassroom doorway?

A inchesB feetC milesD centimeters

67 About how tall is a two-story building?

A 6 inchesB 6 feetC 25 inchesD 20 feet

68 Find the area of a triangle with base b and height h. Round your answer to the nearesthundredth if necessary.b = 5.8 mih = 14.6 mi

A 169.36 mi2

B 84.68 mi2

C 42.34 mi2

D 106.58 mi2

69 Find the area of the parallelogram.

A 3,302 ft2

B 3,484 ft2

C 3,752 ft2

D 4,020 ft2



70 Which of the following is a true statement?

ABCD

71 Divide.

A 19 R35B 19C 15 R33D 15 R35

72 What is the value of 1 in 0.4126?

A hundredthsB tenthsC ten-thousandthsD thousandths

73 Which digit is in the tenths place value of 137.2569?

A 9B 5C 2D 4

74 How is one thousand, four hundred sixteen and eleven thousandths expressed in standardnotation?

A 1,416.001B 1,416.011C 1,416.0011D 10,416.011



75 What is 59.718 rounded to the nearest hundredth?

A 59.7B 59.71C 60D 59.72

76 What is 27.539 rounded to the nearest tenth?

A 28B 27.6C 27.54D 27.5


A 0.006B 0.6C 0.0006D 0.06

78 Which of the two products has the same value as the product?

ABCD


A 0.0007B 0.007C 0.00007D 0.07




A 0.06B 0.0006C 0.006D 0.00006

81 In a gymnastics competition, the highest mark is a 10. One gymnast was in 5 events. Hescored a total of 22.50. What was his average score per event?

A 4.5B 0.45C 0.045D 45

82 Divide.

A 1.25B 0.125C 125D 12.5

83 Four identical boxes are stacked one on top of the other. The entire stack is 8.91 ft tall.How many feet tall is each box?

A 222.75 ftB 2.2275 ftC 22.275 ftD 0.2228 ft

84 Divide.

A 9,500B 95,000C 950,000D 950



85 Which number is the quotient of the expression?

A 125B 0.125C 1.25D 12.5

86 Divide.

A 0.282B 0.0282C 2.82D 28.2

87 While picking thirty apples, Mia noticed that six apples had worm holes and had to bethrown away. What is the ratio of good apples picked to bad apples picked?

A 5 : 1B 4 : 1C 1 : 4D 1 : 5

88 Express the ratio as a decimal. Round to the nearest hundredth. 14 : 5

A 0.36B 4.48C 1.68D 2.8



89 Find a ratio equal to the ratio given. 12 : 7

A 49 : 84B 84 : 63C 72 : 49D 84 : 49

90 Which ratios can form a proportion?

A ,

B ,

C ,

D ,

91 Determine which ratio forms a proportion with the ratio below.

A

B

C

D

92 Which ratios cannot form a proportion?

A ,

B ,

C ,

D ,



93 Multiply.

A 1,484B 1,404C 1,490D 1,504

94 Multiply.

A 4,752B 4,731C 4,392D 4,744

95 Multiply.

six thousand, eighty-one times seven

A 42,567B 47,607C 42,157D 42,126

96 Multiply.

A 39,498B 49,518C 49,498D 39,418



97 Multiply.

A 32,521B 34,701C 33,401D 34,601

98 Multiply.

A 105,630B 105,530C 205,630D 205,530

99 Divide.

A 73B 96C 98D 81 R4

100 Divide.

6,314 ÷ 32

A 191 R22B 197 R10C 198 R5D 194 R6


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