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Unit 1 Review (EM 7/8) - Rational Numbers & Exponents

Total questions: 100

Worksheet time: 50mins

Name
Class
Date
1.

A runner completed a race in 4.58 minutes. Her friend finished 1.25 minutes later. What was her friend's time?

a)

3.33 minutes

b)

5.83 minutes

c)

5.73 minutes

d)

5.82 minutes

2.

A bag of apples weighs 3.45 pounds. A bag of oranges weighs 2.7 pounds. What is the total weight of both bags?

a)

6.15 pounds

b)

5.15 pounds

c)

6.25 pounds

d)

5.25 pounds

3.

A baker uses 2.5 cups of sugar for a cake and 1.75 cups for cookies. How much sugar did they use in total?

a)

4.25 cups

b)

3.25 cups

c)

4.15 cups

d)

3.15 cups

4.

The temperature was 72.3° F in the morning and dropped by 5.8° F in the afternoon. What was the new temperature?

a)

78.1° F

b)

67.5° F

c)

66.5° F

d)

66.1° F

5.

A piece of wood is 12.5 inches long. If you cut off a 3.75-inch piece, how long is the remaining piece?

a)

9.75 inches

b)

8.75 inches

c)

8.25 inches

d)

9.25 inches

6.

You have a budget of 50.00.Youspend50.00. You spend 15.25 on groceries and $8.75 on gas. How much money do you have left?

a)

$25.00

b)

$26.00

c)

$27.00

d)

$26.50

7.

A plant was 1.5 inches tall. Over a week, it grew 0.75 inches. What is its new height?

a)

2.25 inches

b)

1.25 inches

8.

A car's odometer reads 25,678.9 miles. If you drive 123.5 miles, what will the new reading be?

a)

25,802.4 miles

b)

25,792.4 miles

c)

25,801.4 miles

d)

25,791.4 miles

9.

A package weighs 4.8 pounds. Another package weighs 2.35 pounds less. What is the weight of the second package?

a)

7.15 pounds

b)

2.55 pounds

c)

2.45 pounds

d)

2.35 pounds

10.

A student's test scores are 92.5 and 88.5. What is the sum of their scores?

a)

180.0

b)

181.0

c)

182.0

d)

180.5

11.

You buy a shirt for 19.99andapairofpantsfor19.99 and a pair of pants for 24.50. What is your total?

a)

$44.49

b)

$43.49

c)

$44.50

d)

$43.50

12.

The rainfall in May was 3.4 inches. In June, it was 2.1 inches. How much more did it rain in May than in June?

a)

5.5 inches

b)

1.3 inches

c)

1.5 inches

d)

1.4 inches

13.

A rope is 10.5 meters long. You cut off a piece that is 2.8 meters long. How much rope is left?

a)

7.7 meters

b)

8.7 meters

c)

7.3 meters

d)

8.3 meters

14.

A recipe calls for 0.5 teaspoons of salt. You add 0.25 teaspoons more. How much salt is in the recipe now?

a)

0.25 teaspoons

b)

0.75 teaspoons

c)

0.7 teaspoons

d)

0.85 teaspoons

15.

A book costs 12.95andanotebookcosts12.95 and a notebook costs 3.50. What is the total cost?

a)

$16.45

b)

$15.45

c)

$16.50

d)

$15.50

16.

A submarine is at a depth of 150.75 meters. It rises 50.5 meters. What is its new depth?

a)

201.25 meters

b)

100.25 meters

c)

100.35 meters

d)

101.25 meters

17.

A tank holds 25.6 gallons of water. If you use 10.25 gallons, how much water is remaining?

a)

15.35 gallons

b)

15.25 gallons

c)

15.45 gallons

d)

15.5 gallons

18.

A runner's time in a race was 10.8 seconds. Another runner was 0.7 seconds faster. What was the faster runner's time?

a)

11.5 seconds

b)

10.1 seconds

c)

10.0 seconds

d)

10.2 seconds

19.

A box of cereal weighs 15.5 ounces. A box of crackers weighs 8.75 ounces. What is the difference in weight?

a)

6.75 ounces

b)

7.25 ounces

c)

6.25 ounces

d)

7.75 ounces

20.

A person's height is 5.8 feet. Their friend is 0.25 feet shorter. What is the friend's height?

a)

6.05 feet

b)

5.65 feet

c)

5.55 feet

d)

5.5 feet

21.

A car travels at an average speed of 65.5 miles per hour. How far will it travel in 2.5 hours?

a)

163.75 miles

b)

163.25 miles

c)

164.75 miles

d)

164.25 miles

22.

A baker needs 0.75 cups of flour for each cookie batch. If they make 5 batches, how much flour do they need in total?

(a)  

23.

A gallon of gasoline costs $3.50. If a car's tank holds 15.2 gallons, what is the cost to fill the tank?

a)

$53.20

b)

$52.20

c)

$53.50

d)

$52.50

24.

You have a piece of ribbon that is 8.4 meters long. If you cut it into 0.3-meter pieces, how many pieces will you have?

a)

28 pieces

b)

2.8 pieces

c)

24 pieces

d)

26 pieces

25.

A box of chocolates weighs 1.2 pounds. A store has 100 of these boxes. What is the total weight of all the boxes?

a)

12 pounds

b)

1.2 pounds

c)

120 pounds

d)

1200 pounds

26.

A student works 12.5 hours and earns $10.50 per hour. How much money did they earn?

a)

$131.25

b)

$132.25

c)

$130.25

d)

$129.25

27.

A recipe calls for 2.25 cups of sugar. If you need to make a triple batch, how much sugar do you need?

a)

6.75 cups

b)

7.75 cups

c)

6.5 cups

d)

7.25 cups

28.

A package of pencils costs 2.50.Ifyouhave2.50. If you have 10.00, how many packages can you buy?

a)

2 packages

b)

3 packages

c)

4 packages

d)

5 packages

29.

A farmer has a field that is 5.5 acres. They plan to plant corn in 0.4 of the field. How many acres will have corn?

a)

2.2 acres

b)

2.0 acres

30.

A bottle of juice contains 16.9 fluid ounces. If you drink 0.5 of the bottle, how much juice did you drink?

a)

8.45 ounces

b)

8.55 ounces

c)

9.45 ounces

d)

9.55 ounces

31.

A person's step is 2.5 feet long. How many steps would they need to walk 100 feet?

a)

40 steps

b)

25 steps

c)

50 steps

d)

45 steps

32.

A roll of fabric is 20 meters long. If you need to cut pieces that are 1.25 meters long, how many full pieces can you get?

a)

A) 15 pieces

b)

B) 16 pieces

c)

C) 17 pieces

d)

D) 18 pieces

33.

A bag of coffee costs $8.50 per pound. If you buy 3.5 pounds, how much will it cost?

a)

$29.75

b)

$29.25

c)

$28.75

d)

$28.25

34.

A restaurant bill is $45.60. If a group of 4 people split the bill evenly, how much does each person pay?

a)

$11.40

b)

$11.20

c)

$10.40

d)

$10.20

35.

A train travels at 80.5 miles per hour for 3 hours. How far did the train travel?

a)

241.5 miles

b)

240.5 miles

c)

242.5 miles

d)

241.0 miles

36.

A book is 2.5 cm thick. How tall would a stack of 10 of these books be?

a)

25 cm

b)

2.5 cm

c)

250 cm

d)

22.5 cm

37.

A company needs to ship 500 packages, each weighing 2.45 pounds. What is the total weight of the shipment?

a)

1225 pounds

b)

122.5 pounds

38.

A recipe requires 0.5 cups of milk. If you have a jug with 4 cups of milk, how many batches of the recipe can you make?

a)

2 batches

b)

4 batches

c)

6 batches

d)

8 batches

39.

A plant grows 0.3 inches per day. How much will it grow in a week (7 days)?

a)

2.1 inches

b)

2.4 inches

c)

1.8 inches

d)

2.8 inches

40.

A piece of land is 10.5 acres. If it is divided into 3 equal parts, what is the size of each part?

a)

3.5 acres

b)

3.2 acres

c)

4.5 acres

d)

4.2 acres

41.

A recipe calls for 43 cup of sugar. If you double the recipe, how much sugar do you need?

a)

121 cups

b)

141 cups

c)

1 cup

d)

83 cup

42.

You have 21 of a pizza. Your friend gives you another 41 of a pizza. How much pizza do you have in total?

a)

43 pizza

b)

62 pizza

c)

81 pizza

d)

1 pizza

43.

A runner jogs 85 of a mile on Monday and 43 of a mile on Tuesday. What is the total distance jogged?

a)

181 miles

b)

183 miles

c)

81 miles

d)

141 miles

44.

A student has to read 100 pages for a project. They have read 53 of the book. How many pages have they read?

a)

60 pages

b)

41 pages

c)

81 pages

d)

141 miles

45.

A container is 87 full of water. If 41 of the water is used, how much of the container is left with water?

a)

85 full

b)

86 full

c)

84 full

d)

83 full

46.

You have 32 of a pie. You want to share it equally among 4 people. What fraction of the whole pie does each person get?

a)

61

b)

122

c)

38

d)

72

47.

A carpenter has a board that is 521 feet long. She cuts off a piece that is 243 feet long. How long is the remaining board?

a)

243 feet

b)

341 feet

c)

321 feet

d)

241 feet

48.

A recipe requires 31 cup of oil. If you need to make 6 batches, how much oil do you need?

a)

2 cups

b)

3 cups

c)

631 cups

d)

532 cups

49.

A water cooler contains 20 gallons of water. A family uses 41 of the water each day. How many gallons do they use each day?

a)

5 gallons

b)

15 gallons

c)

4 gallons

d)

8 gallons

50.

You buy a shirt for 1221andapairofsocksfor1221 and a pair of socks for 341. What is the total cost?

a)

$1543

b)

$1521

c)

$1643

d)

$1641

51.

A person walks 21 mile to the store and then 83 mile to a friend's house. What is the total distance walked?

a)

104 miles

b)

87 miles

c)

84 miles

d)

1 mile

52.

A garden is 15 feet long and 831 feet wide. What is the area of the garden?

a)

120 square feet

b)

125 square feet

c)

2331 square feet

d)

128 square feet

53.

You have 109 of a chocolate bar. You eat 51 of it. What fraction of the original chocolate bar do you have left?

a)

58

b)

108

c)

107

d)

54

54.

A rope is 87 of a foot long. If you cut it into 7 equal pieces, how long is each piece?

a)

81 foot

b)

567 foot

c)

87 foot

d)

77 foot

55.

A recipe calls for 121 cups of flour. If you want to make half the recipe, how much flour do you need?

a)

43 cup

b)

1 cup

c)

21 cup

d)

32 cup

56.

A team won 54 of their games. If they played 20 games, how many did they win?

a)

16 games

b)

15 games

c)

12 games

d)

18 games

57.

A bottle contains 43 liter of water. You drink 21 of the water. How much water did you drink?

a)

21 liter

b)

83 liter

c)

42 liter

d)

41 liter

58.

A cake recipe requires 32 cup of milk. You have a container with 4 cups of milk. How many cakes can you make?

a)

6 cakes

b)

4 cakes

c)

8 cakes

d)

5 cakes

59.

A student has 65 of their homework done. What fraction of their homework do they still need to complete?

a)

61

b)

51

60.

What is the decimal equivalent of 53?

a)

0.3

b)

0.5

c)

0.6

d)

0.8

61.

Convert 241 to a decimal.

a)

2.25

b)

2.14

c)

2.50

d)

2.41

62.

Write 107 as a decimal.

a)

0.7

b)

0.10

c)

7.0

d)

0.07

63.

What is the decimal form of 521?

a)

5.12

b)

5.25

c)

5.5

d)

5.05

64.

Convert 83 to a decimal.

a)

0.38

b)

0.375

c)

0.3

d)

0.83

65.

Write 143 as a decimal.

a)

1.75

b)

1.34

c)

1.5

d)

1.43

66.

What is the decimal equivalent of 31? (Round to two decimal places).

a)

0.3

b)

0.33

67.

Convert 209 to a decimal.

a)

0.92

b)

0.45

c)

0.4

d)

0.9

68.

What is the decimal form of 61001?

a)

6.1

b)

6.01

c)

6.10

d)

6.001

69.

Write 81 as a decimal.

a)

0.125

b)

0.18

c)

0.1

d)

0.81

70.

Convert 4257 to a decimal.

a)

4.725

b)

4.28

c)

4.7

d)

4.25

71.

What is the decimal equivalent of 61? (Round to three decimal places).

a)

0.166

b)

0.167

c)

0.160

d)

0.170

72.

Write 5011 as a decimal.

a)

0.11

b)

0.22

c)

0.50

d)

0.20

73.

What is the decimal form of 352?

a)

3.25

b)

3.4

c)

3.2

d)

3.52

74.

Convert 413 to a decimal.

a)

3.25

b)

3.14

c)

3.75

d)

3.20

75.

Write 1041 as a decimal.

(a)  

76.

What is the decimal equivalent of 2017?

a)

0.17

b)

0.85

c)

0.75

d)

0.80

77.

Convert 721 to a decimal.

a)

7.12

b)

7.5

c)

7.25

d)

7.15

78.

Write 1009 as a decimal.

a)

0.9

b)

0.09

c)

0.90

d)

9.0

79.

What is the decimal form of 285?

a)

2.58

b)

2.625

c)

2.5

d)

2.85

80.

The temperature was 5° F and then dropped by 12° F. What is the new temperature?

a)

17° F

b)

-7° F

c)

7° F

d)

-17° F

81.

A submarine is at -150 meters. It dives another 50 meters. What is its new depth?

a)

-100 meters

b)

-200 meters

c)

100 meters

d)

200 meters

82.

What is the value of -8×4?

a)

32

b)

-32

c)

4

d)

-4

83.

A football team loses 3 yards on one play, then gains 8 yards on the next. What is the total change in yardage?

a)

11 yards

b)

-5 yards

c)

5 yards

d)

-11 yards

84.

What is -25+5?

a)

5

b)

-5

c)

-20

d)

-30

85.

A checking account has a balance of 120.Acheckfor120. A check for 150 is written. What is the new balance?

a)

$270

b)

-$30

c)

$30

d)

~$270

86.

What is 10+(−15)?

a)

25

b)

-25

c)

5

d)

-5

87.

A mountain climber starts at 200 feet above sea level and descends 300 feet. What is their new altitude?

a)

-100 feet

b)

500 feet

c)

100 feet

d)

-500 feet

88.

What is the value of (−6)×(−3)?

a)

A) 18

b)

B) -18

c)

C) 9

d)

D) -9

89.

A person owes 40.Theypayback40. They pay back 25. How much do they still owe?

a)

$65

b)

-$15

c)

-$65

d)

$15

90.

What is −18+(−6)?

a)

3

b)

-3

c)

-12

d)

12

91.

A company's profit for the first quarter was - 50,000.Inthesecondquarter,theylostanother50,000. In the second quarter, they lost another 20,000. What is their total profit/loss?

a)

-$30,000

b)

$70,000

c)

-$70,000

d)

$30,000

92.

What is 7–12?

a)

5

b)

-5

c)

19

d)

-19

93.

A scuba diver is at -30 feet. He descends another 10 feet. What is his new depth?

a)

-40 feet

b)

-20 feet

c)

40 feet

d)

20 feet

94.

What is (–4)×5?

a)

20

b)

-20

c)

1

d)

-1

95.

A stock's price decreases by $2 each day for 5 days. What is the total change in price?

a)

$10

b)

-$10

c)

-$3

d)

$3

96.

What is 15÷(–20)?

a)

35

b)

-35

c)

5

d)

-5

97.

A city's elevation is -10 feet. A town 50 feet higher is built. What is the town's elevation?

a)

60 feet

b)

-40 feet

c)

40 feet

d)

-60 feet

98.

What is –40+8?

a)

5

b)

-5

c)

32

d)

-32

99.

A student has 5 points taken off for each of 3 incorrect answers on a test. What is the total point deduction?

a)

15

b)

-15

c)

8

d)

-8

100.

A recipe calls for 12↑1 cups of milk. You have a container with 4.5 cups of milk. How many batches can you make?

a)

3 batches

b)

4 batches

c)

3.5 batches

d)

2 batches