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ACAP Practice 4th

Total questions: 105

Worksheet time: 53mins

Name
Class
Date
1.

If a tree is 3 times taller than a bush that is 2 feet tall, how tall is the tree?

a)

9 ft

b)

4ft

c)

6ft

d)

12ft

2.

A ladder is 4 times longer than a stick that is 3 feet long. How long is the ladder?

a)

18 ft

b)

9 ft

c)

15 ft

d)

12 ft

3.

A rope is 5 times the length of a cord that is 1.5 feet long. What is the length of the rope?

a)

7.5 ft

b)

6 ft

c)

5 ft

d)

10 ft

4.

A pole is twice as tall as a fence that is 4 feet tall. How tall is the pole?

a)

8 ft

b)

10 ft

c)

6 ft

d)

12 ft

5.

A ribbon is 7 times longer than a string that is 2 feet long. How long is the ribbon?

a)

16 ft

b)

14 ft

c)

12 ft

d)

10 ft

6.

A book is 3 times thicker than a notebook that is 0.5 inches thick. How thick is the book?

a)

1 inch

b)

2 inches

c)

1.5 inches

d)

2.5 inches

7.

A garden is 5 times wider than a path that is 1.2 meters wide. How wide is the garden?

a)

5 meters

b)

6 meters

c)

6.5 meters

d)

7 meters

8.

A train is 8 times longer than a car that is 5 meters long. How long is the train?

a)

45 meters

b)

35 meters

c)

40 meters

d)

50 meters

9.

A piece of fabric is 6 times longer than a strip that is 0.8 meters long. What is the length of the fabric?

a)

4.8 meters

b)

5 meters

c)

5.5 meters

d)

4.5 meters

10.

A plank is 3 times the length of a board that is 2.5 feet long. How long is the plank?

a)

7.5 feet

b)

8 feet

c)

6.5 feet

d)

9 feet

11.

Which of the following numbers is a multiple of 3?

a)

22

b)

19

c)

27

d)

14

12.

Identify the prime number from the list below.

a)

49

b)

29

c)

21

d)

35

13.

Which of the following numbers is a factor of 60?

a)

11

b)

10

c)

8

d)

7

14.

A rectangle is 4 times longer than a square with a side length of 3 meters. What is the length of the rectangle?

a)

12 meters

b)

9 meters

c)

15 meters

d)

10 meters

15.

A cylinder is 3 times taller than a cone that is 2 meters tall. How tall is the cylinder?

a)

7 meters

b)

5 meters

c)

6 meters

d)

8 meters

16.

A triangle has a base that is 5 times longer than a line segment that is 1.5 meters long. What is the length of the base of the triangle?

a)

8 meters

b)

5 meters

c)

6 meters

d)

7.5 meters

17.

In the number 4,567, what does the digit '5' represent?

a)

500

b)

50

c)

5,000

d)

5

18.

In the number 8,392, what is the value of the digit '3'?

a)

30

b)

300

c)

3,000

d)

3

19.

In the number 7,841, what is the value of the digit '8'?

a)

80

b)

8

c)

8,000

d)

800

20.

What is the expanded form of the number 3,482?

a)

3,000 + 400 + 80 + 2

b)

3,000 + 40 + 8 + 2

c)

3,000 + 480 + 2

d)

3,000 + 400 + 8 + 2

21.

How do you write the number 5,607 in word form?

a)

Five thousand sixty seven

b)

Five thousand six hundred seven

c)

Five thousand six hundred seventy

d)

Five thousand six hundred seventy-seven

22.

Which of the following is the standard form of 'Nine thousand two hundred fifty'?

a)

9,250

b)

9,205

c)

9,520

d)

9,502

23.

A box contains 24 apples. If each bag can hold 5 apples, how many full bags can be made and how many apples will be left over?

a)

5 full bags, 2 apples left over

b)

5 full bags, 0 apples left over

c)

4 full bags, 4 apples left over

d)

4 full bags, 2 apples left over

24.

A classroom has 32 students. If each group must have 6 students, how many groups can be formed and how many students will be left without a group?

a)

5 groups, 0 students left

b)

4 groups, 4 students left

c)

5 groups, 2 students left

d)

4 groups, 8 students left

25.

A baker has 50 cupcakes. If he packs them into boxes of 8, how many boxes will he need and how many cupcakes will be left unpacked?

a)

7 boxes, 2 cupcakes left

b)

6 boxes, 4 cupcakes left

c)

7 boxes, 6 cupcakes left

d)

6 boxes, 2 cupcakes left

26.

What is the next number in the sequence: 2, 4, 8, 16, ...?

a)

24

b)

30

c)

20

d)

32

27.

If a rectangle's length is 3 times its width and the width is 4 meters, what is the length of the rectangle?

a)

12 meters

b)

16 meters

c)

15 meters

d)

10 meters

28.

In the number 9,876, what does the digit '7' represent?

a)

7

b)

70

c)

700

d)

7,000

29.

What is the value of the digit '3' in the number 3,210?

a)

3,000

b)

3

c)

300

d)

30

30.

In the number 5,432, what is the value of the digit '4'?

a)

400

b)

40

c)

4

d)

4,000

31.

What is the word form of the number 4,567?

a)

Four thousand five hundred seventy-six

b)

Four thousand six hundred fifty-seven

c)

Four thousand six hundred seventy-five

d)

Four thousand five hundred sixty-seven

32.

Which of the following is the expanded form of 7,304?

a)

7,000 + 300 + 4

b)

7,000 + 3 + 40

c)

7,000 + 30 + 4

d)

7,000 + 300 + 40

33.

Convert the number 'Five thousand eight hundred twenty-one' into standard form.

a)

5,812

b)

5,821

c)

5,128

d)

5,281

34.

Compare the numbers 4,567 and 4,576. Which symbol correctly completes the statement: 4,567 ___ 4,576?

a)

=

b)

<

c)

>

35.

Which of the following comparisons is true?

a)

5,432 = 5,432

b)

9,876 < 9,768

c)

8,123 > 8,213

d)

7,654 > 7,645

36.

Fill in the blank with the correct symbol: 3,210 ___ 3,201

a)

>

b)

=

c)

<

37.

Round the number 4,567 to the nearest hundred.

a)

4,700

b)

4,600

c)

4,800

d)

4,500

38.

What is 12,345 rounded to the nearest thousand?

a)

12,000

b)

12,400

c)

12,300

d)

12,000

39.

Round 98,765 to the nearest ten thousand.

a)

100,000

b)

95,000

c)

99,000

d)

90,000

40.

What is the sum of 4,567 and 3,892 using place value strategies?

a)

8,459

b)

8,459

c)

8,459

d)

8,359

41.

Subtract 2,345 from 5,678 using place value strategies. What is the result?

a)

3,343

b)

3,353

c)

3,323

d)

3,333

42.

Using place value strategies, what is the result of adding 7,654 and 2,346?

a)

10,200

b)

10,100

c)

9,900

d)

10,000

43.

What is the product of 3,456 and 7 using place value strategies?

a)

23,992

b)

24,292

c)

23,892

d)

24,192

44.

Calculate the product of 45 and 32 using an area model.

a)

1,440

b)

1,350

c)

1,440

d)

1,350

45.

Using the properties of operations, find the product of 2,789 and 5.

a)

13,995

b)

13,895

c)

13,945

d)

13,845

46.

Divide 3,456 by 7 using place value strategies. What is the quotient?

a)

492

b)

495

c)

493

d)

494

47.

A farmer has 1,234 apples. If he packs them into boxes of 6, how many boxes will he need and how many apples will be left unpacked?

a)

206 boxes, 2 apples left

b)

205 boxes, 4 apples left

c)

206 boxes, 4 apples left

d)

205 boxes, 2 apples left

48.

Using an area model, what is the result of dividing 2,568 by 8?

a)

321

b)

322

c)

323

d)

324

49.

Which of the following fractions is equivalent to 3/4?

a)

12/16

b)

9/12

c)

6/8

d)

All of the above

50.

Using an area model, which fraction is equivalent to 2/3?

a)

4/6

b)

3/5

c)

5/8

d)

7/9

51.

If you multiply the numerator and denominator of 1/2 by 5, what is the equivalent fraction?

a)

5/10

b)

2/5

c)

10/20

d)

Both 5/10 and 10/20

52.

Which fraction is greater: 3/4 or 5/8? Use benchmarks to justify your answer.

a)

3/4 is greater because it is closer to 1.

b)

They are equal because they are both less than 1.

c)

5/8 is greater because it is closer to 1.

d)

Cannot be determined without common denominators.

53.

Compare the fractions 2/5 and 3/7 using common numerators. Which is larger?

a)

2/5 is larger because 14/35 is greater than 15/35.

b)

3/7 is larger because 15/35 is greater than 14/35.

c)

Cannot be determined without common denominators.

d)

They are equal because they have the same numerator.

54.

Using concrete models, which fraction is smaller: 1/3 or 2/5?

a)

1/3 is smaller because it represents a smaller part of a whole.

b)

Cannot be determined without visual models.

c)

2/5 is smaller because it represents a smaller part of a whole.

d)

They are equal because they are both less than 1/2.

55.

Decompose the fraction 3/4 as a sum of unit fractions using an area model. Which of the following represents the correct decomposition?

a)

1/4 + 1/4 + 1/4

b)

1/4 + 1/4 + 1/2

c)

1/2 + 1/4

d)

1/3 + 1/3 + 1/3

56.

Using a length model, what is the result of adding 2/5 and 1/5?

a)

2/5

b)

3/5

c)

4/5

d)

1/5

57.

Solve the word problem: Sarah has 3/8 of a cake and eats 1/8 of it. How much cake does she have left?

a)

4/8

b)

3/8

c)

2/8

d)

1/8

58.

How can you represent the fraction 5/8 as a product of a whole number and a unit fraction?

a)

5 × 1/8

b)

5 × 8

c)

8 × 1/5

d)

1/8 × 5

59.

What is the result of multiplying 3 by the fraction 2/5?

a)

6/5

b)

2/5

c)

3/5

d)

6/15

60.

A recipe requires 2/3 cup of sugar. If you want to make 4 times the recipe, how much sugar do you need?

a)

2/3 cups

b)

6/3 cups

c)

4/3 cups

d)

8/3 cups

61.

What is the equivalent fraction of 3/10 with a denominator of 100?

a)

30/100

b)

3/100

c)

10/100

d)

33/100

62.

How do you express 7/100 as a fraction with a denominator of 10?

a)

0.7/10

b)

7/10

c)

0.07/10

d)

70/10

63.

Using fraction equivalency, what is the sum of 4/10 and 25/100?

a)

6.5/10

b)

65/100

c)

65/10

d)

65/1000

64.

A car travels 150 miles in 3 hours. What is the average speed of the car in miles per hour?

a)

45 mph

b)

60 mph

c)

50 mph

d)

55 mph

65.

A container holds 2.5 liters of water. If you pour out 0.75 liters, how much water is left in the container?

a)

1.95 liters

b)

1.65 liters

c)

1.85 liters

d)

1.75 liters

66.

A train leaves the station at 3:15 PM and arrives at its destination at 6:45 PM. How long is the train journey?

a)

3 hours 30 minutes

b)

3 hours 15 minutes

c)

3 hours

d)

3 hours 45 minutes

67.

Convert the fraction 7/10 into decimal notation.

a)

0.07

b)

0.7

c)

7.0

d)

0.70

68.

Which of the following fractions is equivalent to 0.25?

a)

3/10

b)

1/4

c)

1/5

d)

2/5

69.

Using decimal notation, what is the sum of 0.3 and 0.4?

a)

0.7

b)

0.04

c)

0.03

d)

0.34

70.

A rectangle's width is 2 times the length of a line segment that is 3 meters long. What is the width of the rectangle?

a)

7 meters

b)

6 meters

c)

5 meters

d)

8 meters

71.

What is the value of the digit '7' in the number 7,654?

a)

7,000

b)

7

c)

70

d)

700

72.

Round the number 23,456 to the nearest thousand.

a)

23,400

b)

23,500

c)

24,000

d)

23,000

73.

What is the value of the digit '5' in the number 5,678?

a)

500

b)

5,000

c)

5

d)

50

74.

A rectangle is 3 times longer than a square with a side length of 4 meters. What is the length of the rectangle?

a)

8 meters

b)

10 meters

c)

16 meters

d)

12 meters

75.

Round 23,456 to the nearest hundred.

a)

23,450

b)

23,500

c)

23,460

d)

23,400

76.

A rectangle is 4 times longer than a square that has a side length of 3 meters. What is the length of the rectangle?

a)

12 meters

b)

15 meters

c)

10 meters

d)

9 meters

77.

What is the expanded form of the number 5,209?

a)

5,000 + 20 + 9

b)

5,000 + 2 + 90

c)

5,000 + 200 + 9

d)

5,000 + 200 + 90

78.

If you divide 4,320 by 9 using place value strategies, what is the quotient?

a)

490

b)

480

c)

485

d)

475

79.

There are 36 candies to be divided equally among 4 friends. How many candies will each friend get?

a)

8 candies

b)

9 candies

c)

11 candies

d)

10 candies

80.

A farmer has 48 apples and wants to pack them into boxes with 6 apples each. How many boxes will he need?

a)

9 boxes

b)

7 boxes

c)

6 boxes

d)

8 boxes

81.

If a rope is 24 meters long and is cut into pieces that are 3 meters each, how many pieces will there be?

a)

9 pieces

b)

8 pieces

c)

7 pieces

d)

6 pieces

82.

What is the sum of 1/4 and 3/8?

a)

5/8

b)

7/8

c)

1/2

d)

3/4

83.

Which of the following fractions is equivalent to 5/10?

a)

4/5

b)

3/5

c)

2/5

d)

1/2

84.

If you subtract 1/3 from 3/4, what is the result?

a)

5/12

b)

1/2

c)

1/3

d)

1/4

85.

Which fraction is larger: 3/5 or 2/3?

a)

2/3

b)

They are equal

c)

Cannot be determined

d)

3/5

86.

Order the following fractions from smallest to largest: 1/2, 3/4, 2/5.

a)

2/5, 1/2, 3/4

b)

1/2, 2/5, 3/4

c)

1/2, 3/4, 2/5

d)

3/4, 1/2, 2/5

87.

Which of the following fractions is equivalent to 5/6?

a)

20/24

b)

10/12

c)

All of the above

d)

15/18

88.

What is the sum of the first five even numbers?

a)

50

b)

40

c)

30

d)

20

89.

Which of the following numbers is a multiple of 9?

a)

27

b)

34

c)

45

d)

52

90.

What is the value of the digit '5' in the number 5,678?

a)

5

b)

5,000

c)

50

d)

500

91.

What is the sum of 1/4 and 3/8?

a)

1/2

b)

3/4

c)

7/8

d)

5/8

92.

Subtract 2/5 from 3/4. What is the result?

a)

11/20

b)

1/20

c)

7/20

d)

9/20

93.

Which of the following fractions is equivalent to 5/6?

a)

10/12

b)

15/18

c)

All of the above

d)

20/24

94.

What is the result of adding 3 1/2 and 2 3/4?

a)

6 1/4

b)

5 1/4

c)

6 1/2

d)

5 1/2

95.

Subtract 1 2/3 from 4 5/6. What is the result?

a)

3 1/6

b)

3 1/3

c)

3 2/3

d)

3 1/2

96.

Which of the following is the sum of 7 3/8 and 2 5/8?

a)

9 7/8

b)

10

c)

10 1/8

d)

9 3/4

97.

Sarah has 3/4 of a chocolate bar and gives 1/3 of it to her friend. How much of the chocolate bar does she have left?

a)

1/4

b)

5/12

c)

1/2

d)

1/12

98.

John needs 2/5 of a cup of sugar for a recipe, but he only has 1/4 of a cup. How much more sugar does he need?

a)

1/5

b)

3/20

c)

9/20

d)

7/20

99.

Alice read 5/8 of a book on Monday and 1/4 of it on Tuesday. How much of the book has she read in total?

a)

7/8

b)

3/4

c)

1/2

d)

5/8

100.

What is the product of 3/5 and 4?

a)

12/5

b)

9/5

c)

7/5

d)

15/5

101.

If you multiply 2/3 by 6, what is the result?

a)

10/3

b)

12/3

c)

8/3

d)

4

102.

Calculate the product of 5/8 and 3.

a)

8/15

b)

15/8

c)

3/8

d)

5/24

103.

Sarah has 3/4 of a chocolate bar. She decides to give 1/3 of it to her friend. How much of the chocolate bar does her friend receive?

a)

1/12

b)

1/4

c)

1/2

d)

1/3

104.

A recipe requires 2/5 of a cup of sugar. If you want to make half of the recipe, how much sugar do you need?

a)

1/4 cup

b)

2/10 cup

c)

1/5 cup

d)

3/10 cup

105.

Tom has 5/6 of a pizza. He eats 2/3 of what he has. How much of the whole pizza does he eat?

a)

10/9

b)

5/9

c)

10/18

d)

5/18