Free Printable Grade 6 Math Skills Review Week 1

1.

What is 25% of 80?

a)

15

b)

20

c)

25

d)

30

2.

The ratio of cats to dogs in a pet store is 3:4. If there are 12 cats, how many dogs are there?

a)

12

b)

14

c)

16

d)

18

3.

If $\frac{3}{4}$ of a number is 60, what is the whole number?

a)

45

b)

80

c)

90

d)

120

4.

What is $\frac{2}{3} + \frac{1}{4}$ ?

a)

$\frac{11}{12}$

b)

$\frac{3}{4}$

c)

$\frac{5}{7}$

d)

$\frac{9}{12}$

5.

A recipe calls for $\frac{3}{4}$ cup of sugar. If you want to make half of the recipe, how much sugar do you need?

a)

$\frac{3}{8}$ cup

b)

$\frac{1}{2}$ cup

c)

$\frac{3}{2}$ cup

d)

$\frac{1}{4}$ cup

6.

If you subtract $\frac{2}{5}$ from $\frac{3}{4}$ , what do you get?

a)

$\frac{7}{20}$

b)

$\frac{1}{3}$

c)

$\frac{11}{20}$

d)

$\frac{1}{2}$

7.

What is $\frac{2}{3} \times \frac{9}{4}$ ?

a)

$\frac{3}{2}$

b)

$\frac{18}{12}$

c)

$\frac{1}{2}$

d)

$\frac{3}{4}$

8.

A bag contains 60 marbles, some are red and the rest are blue. If the ratio of red to blue marbles is 1:2, how many red marbles are there?

a)

20

b)

30

c)

40

d)

50

9.

If 3 is added to a number and this sum is tripled, the result is 21. What is the number?

a)

2

b)

4

c)

5

d)

6

10.

What is $\frac{5}{6} - \frac{1}{3}$ ?

a)

$\frac{1}{2}$

b)

$\frac{2}{3}$

c)

$\frac{1}{3}$

d)

$\frac{1}{6}$

11.

What is 50% of 120?

a)

50

b)

60

c)

70

d)

80

12.

The ratio of boys to girls in a class is 5:4. If there are 20 boys, how many students are in the class in total?

a)

36

b)

40

c)

44

d)

45

13.

If $\frac{1}{2}$ of a number is 15, what is $\frac{3}{4}$ of the same number?

a)

20

b)

22.5

c)

25

d)

30

14.

What is $\frac{7}{8} + \frac{1}{8}$ ?

a)

1

b)

$\frac{1}{2}$

c)

$\frac{3}{4}$

d)

$\frac{7}{16}$

15.

A cake recipe requires $\frac{3}{5}$ cup of oil. If you want to make one-third of the recipe, how much oil do you need?

a)

$\frac{1}{5}$ cup

b)

$\frac{1}{15}$ cup

c)

$\frac{1}{3}$ cup

d)

$\frac{1}{9}$ cup

16.

If you divide $\frac{3}{4}$ by $\frac{1}{2}$ , what do you get?

a)

$\frac{3}{2}$

b)

$\frac{1}{4}$

c)

$\frac{1}{2}$

d)

$\frac{6}{4}$

17.

A school has a ratio of teachers to students of 1:25. If there are 50 teachers, how many students are there?

a)

1250

b)

1000

c)

750

d)

500

18.

What is $\frac{2}{5} \times \frac{5}{8}$ ?

a)

$\frac{1}{4}$

b)

$\frac{1}{2}$

c)

$\frac{5}{20}$

d)

$\frac{10}{40}$

19.

If 40% of a number is 20, what is 60% of the same number?

a)

25

b)

30

c)

35

d)

40

20.

The ratio of pencils to pens in a box is 7:3. If there are 28 pencils, how many pens are there?

a)

12

b)

10

c)

8

d)

6

21.

What is $\frac{3}{5} - \frac{1}{10}$ ?

a)

$\frac{1}{2}$

b)

$\frac{2}{5}$

c)

$\frac{1}{5}$

d)

$\frac{3}{10}$

22.

If $\frac{4}{5}$ of a number is 32, what is the whole number?

a)

25

b)

40

c)

45

d)

50

23.

What is $\frac{1}{3} + \frac{2}{6}$ ?

a)

$\frac{1}{2}$

b)

$\frac{2}{3}$

c)

$\frac{1}{3}$

d)

$\frac{1}{6}$

24.

A recipe calls for $\frac{2}{3}$ cup of milk. If you want to double the recipe, how much milk do you need?

a)

$\frac{4}{3}$ cup

b)

$\frac{1}{3}$ cup

c)

$\frac{2}{6}$ cup

d)

$\frac{1}{2}$ cup

25.

84 is what percent of 96?

a)

87.5 percent

b)

86.1 percent

c)

78.5 percent

d)

85.7 percent

26.

25 is what percent of 50?

a)

25 percent

b)

50 percent

c)

75 percent

d)

96.4 percent

27.

72 is what percent of 35? Answer is rounded to the nearest tenth.

a)

20 percent

b)

505.7 percent

c)

205.7 percent

d)

345.9 percent

28.

2 is what percent of 100?

a)

6 percent

b)

8 percent

c)

5 percent

d)

2 percent

29.

56 is what percent of 60? Answer is rounded to the nearest tenth.

a)

60.1 percent

b)

93.3 percent

c)

90.3 percent

d)

78.1 percent

30.

What does the word percent mean?

a)

part out of 10

b)

part out of 100

c)

part out of 1

d)

part out of 1000

31.

25% is what fraction in simplest form?

a)

1/2

b)

1/4

c)

1/3

d)

1/5

32.

50% is what fraction in simplest form?

a)

1/4

b)

1/2

c)

1

d)

1/5

33.

Convert 20% to a decimal.

a)

.20

b)

20

c)

.002

d)

200

34.

Convert 31% to a decimal.

a)

3.1

b)

0.031

c)

0.31

d)

310

35.

Mrs. Patrick bought a package of 15 expo markers. 20% of them were blue the others were black. How many expo markers were blue?

a)

3

b)

5

c)

7

d)

9

36.

What is 75% of 92?

a)

6.9

b)

.69

c)

69

d)

690

37.

There is a jar of jellybeans on Mr. Schidrich's desk. 40% of the jellybeans are red. If there are 55 jelly beans in the jar, how many are red??

a)

20

b)

22

c)

24

d)

25

38.

What is 9% of 50?

a)

4.5

b)

45

c)

.45

d)

.045

39.

Hadley is driving to Colorado. She has been traveling for 4 hours, and she has driven 260 miles. Find her speed in miles per hour.

a)

85

b)

65

c)

60

d)

70

40.

What is the unit rate of paws per dog?

a)

2

b)

4

c)

8

d)

16

41.

What is the unit rate in miles per hour?

a)

60 miles per hour

b)

120 miles per hours

c)

1 mile per hour

d)

180 miles per hours

42.

What is the unit rate (in miles per hour) based on the table?

a)

45

b)

90

c)

135

d)

2

43.

What is the unit rate for the rain fall?

a)

2 cm per hour

b)

1 cm per hour

c)

¹/₂ cm per hour

d)

4 cm per hour

44.

Which graph represents the data?

a)

b)

c)

d)

45.

Which statement is the correct unit rate?

a)

5 seconds per foot

b)

5 feet per second

c)

2.5 seconds per foot

d)

2.5 feet per second

46.

Which rate of change represents the following the graph shown?

a)

$ 5 per movie

b)

$10 per movie

c)

$1 per movie

d)

$0.20 per movie

47.

Using the table above, determine the equation of the line.

a)

g = 5m

b)

g = 10m

c)

m = 1/5g

d)

m = 1/10g

48.

The cost, c, of potato salad by its weight in pounds, p, at a deli is given in the table above. Which equation best models this data.

a)

c = .29p

b)

c = 3.5p

c)

p = .29c

d)

p = 3.5c

49.

A soccer team played 32 games. If they won 25% of them, how many games did each team win?

(a)

50.

Use the percent proportion or percent equation to answer the following:

Sarah earns $20 in total, each day working after school. She spent 30% of her daily earnings on Monday. How much money did she spend on Monday?

a)

$1.40

b)

$6

c)

$0.60

d)

$14

51.

You planted 60 seeds seeds. 80% actually grow. How many seeds grew? To word it another way, what is the amount of seeds that grew if 80% of 60 seeds grew?

a)

12

b)

680

c)

20

d)

48

52.

360 runners are in a race. 20% are men. How many men are in the race? To word it another way, What is the amount of men in a race if 20% of 360 runners are in the race?

a)

72

b)

288

c)

1,800

d)

36

53.

what is the number of students who participate in the fundraiser if 60% of 160 total students participated?

a)

About 267 Students

b)

16 Students

c)

32 Students

d)

96 Students

54.

15 of the students in a history class passed a History test. If these students are 75% of all the students in the class, how many students are in the history class? Round you answer to the nearest whole number if necessary.

a)

20 students

b)

11 students

c)

32 students

d)

24 students

55.

At a construction job for a store, 24 painters were tasked with painting the interior. These painters made up 75% of the painting crew, so how many painters in all worked on this job? Round your answer to the nearest whole number if necessary.

a)

20 painters

b)

32 painters

c)

11 painters

d)

24 painters

56.

A student earned a grade of 80% on a math test that had 30 problems. How many problems on this test did the student answer correctly?

a)

17 problems

b)

24 problems

c)

20 problems

d)

18 problems

57.

What percent of 50 is 20?

a)

40%

b)

25%

c)

2.5%

d)

4%

58.

What is 20% of 80?

a)

16

b)

8

c)

0.8

d)

160

59.

What is 40% of 20?

a)

2

b)

4

c)

6

d)

8

60.

Find 5% of 80

a)

4

b)

8

c)

12

d)

40

61.

Sarah earns $20 a day working after school. She spent 30% of her daily earnings on Monday. How much money did she spend on Monday?

a)

$1.40

b)

$6

c)

$0.60

d)

$14

62.

In the Daytona 500, out of 30 cars that started the race, 12 of them finished. What percent of the cars finished the race? To word it another way, What percent is 12 cars that finished the race out of 30 cars total that started the race?

a)

20%

b)

40%

c)

60%

d)

80%

63.

Mr. Connor makes $23 per hour repairing cars at the auto shop. If he works 46 hours this week, how much money will he make in one week?

(a)

64.

Cody and Brad bought pizza for the class party. Cody bought 12 pizzas for $15 each. Brad bought 8 pizzas for $12 each. Who spent more money on pizza?

(a)

65.

Jodie had a summer job as a veterinarian. She worked a total of 326 hours and made $13 per hour. How much money did Jodie make over the summer?

(a)

66.

Angel is making a blanket that will be 28 inches x 42 inches. What will be the area of the blanket.

(a)

67.

Farmer Tyler planted 638 corn stocks in a field. If each corn stock produces 6 ears of corn, how many ears of corn will he have?

(a)

68.

Kevion raises dairy cows. He has 165 cows. Each cow produced 43 gallons of milk last month. How many gallons did the cows produce altogether last month?

(a)

69.

Tyler and Brad each played 48 basketball games last season. Tyler played 38 minutes each game. Brad played 40 minutes each game. Altogether, how many more minutes did Brad play than Tyler played?

(a)

70.

Mr. Connor plays baseball. If he throws the ball 58 times in each of the 79 practices he has, how many times will he throw the ball altogether?

(a)

71.

Angel and Jodie love to swim laps. They swam laps everyday for 247 days. Angel swam 63 laps each day and Jodie swam 65 laps each day. How many more laps did Jodie swim than Angel?

(a)

72.

Mr. Connor wants to make a baseball field using artificial grass. He wants the field to be 330 feet x 95 feet. How many square feet of artificial grass does he need?

(a)

73.

Emily enlarged the size of a painting to a width of 15 in. What is the new height if it was originally 3 in. wide and 4 in. tall?

a)

17 in.

b)

20 in.

c)

5 in.

d)

23 in.

74.

20 Fuji apples cost $12. How many Fuji apples can you buy for $3?

a)

8

b)

7

c)

5

d)

1

75.

The currency in Egypt is the Pound. The exchange rate is approximately $1 for every 6 Pounds. At this rate, how many dollars would you get if you exchanged 12 Pounds?

a)

$72

b)

$6

c)

$5

d)

$2

76.

Mike was planning a trip to Jordan. Before going, he did some research and learned that the exchange rate is 3 Dinars for every $4. How many Dinars would he get if he exchanged $12?

a)

9 Dinars

b)

14 Dinars

c)

0 Dinars

d)

Squirrel

77.

If you can buy four bunches of seedless black grapes for $10, then how many can you buy with $5?

a)

3

b)

1

c)

2

d)

13

78.

Ryan was planning a trip to Switzerland. Before going, he did some research and learned that the exchange rate is $3 to 4 Francs. How many Francs would he get if he exchanged $12?

a)

16 Francs

b)

9 Francs

c)

14 Francs

d)

Ms. Liz

79.

Pranav took a trip to Jordan. Upon leaving he decided to convert all of his Dinars back into dollars. How many dollars did he receive if he exchanged 16 Dinars at a rate of 2 Dinars for every $3?

a)

$10.67

b)

$22

c)

$24

d)

$20

80.

The money used in Saudi Arabia is called the Riyal. The exchange rate is 7 Riyals = $2. Find how many Riyals you would receive if you exchanged $4.

a)

18 Riyals

b)

14 Riyals

c)

Potato Peeler

d)

1 Riyal

81.

A 8 ft tall tent standing next to a lawn ornament casts a 4 ft shadow. If the lawn ornament is 6 ft tall, then how long is its shadow?

a)

3 ft

b)

16 ft

c)

12 ft

d)

2 ft

82.

Fairview and Rockville are 104 km from each other. How far apart would the cities be on a map that has a scale of 1 cm : 13 km?

a)

7 cm

b)

1352 cm

c)

8 cm

d)

4 cm

83.

A particular giraffe is 16 ft tall. A model of it was built with a scale of 1 in : 2 ft. How tall is the model?

a)

13 in

b)

1 in

c)

3 in

d)

8 in

84.

If a 18 ft tall statue casts a 12 ft long shadow, then how long is the shadow that a 3 ft tall baby elephant casts?

a)

1 ft

b)

2 ft

c)

5 ft

d)

8 ft

85.

Find the distance between Johnstown and Georgetown if they are 9 in apart on a map with a scale of 3 in : 11 mi.

a)

121 mi

b)

28 mi

c)

33 mi

d)

26 mi

86.

A model giraffe has a scale of 1 in : 3 ft. If the model giraffe is 5 in tall, then how tall is the real giraffe?

a)

15 ft

b)

1 ft

c)

2 ft

d)

8 ft

87.

An adult elephant that is 8 ft tall casts a shadow that is 4 ft long. Find the height of a statue that casts a 9 ft shadow.

a)

36 ft

b)

2 ft

c)

16 ft

d)

18 ft

88.

Find the distance between Johnstown and Madison on a map with a scale of 2 in : 4 mi if they are actually 12 mi apart.

a)

3 in

b)

24 in

c)

6 in

d)

5 in

89.

Addie saved more than $36. Which inequality represents the amount that she saved?

a)

s > 36

b)

s < 36

c)

s ≤ 36

d)

s ≥ 36

90.

Tucker lost fewer than 9 points. Which inequality represents the situation?

a)

p > 9

b)

p < 9

c)

p ≥ 9

d)

p ≤ 9

91.

Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike?

a)

15h ≤ 105

b)

15h > 105

c)

15h < 105

d)

15h ≥ 105

92.

My brother is 2 years older than I am. He is 18 years old. Which equation represents how old I am?

a)

m - 2 = 18

b)

m + 2 = 18

c)

2m = 18

d)

m/2 = 18

93.

You must be no more than 62 inches tall to play on the playground. Which inequality represents the heights of kids allowed to play?

a)

k ≤ 62

b)

k > 62

c)

k < 62

d)

k ≥ 62

94.

The speed limit is 45. Katie was going thirty miles per hour and sped up some. Which inequality represents the amount she could speed up and not be speeding?

a)

30 + s ≥ 45

b)

30 - s ≥ 45

c)

30 + s ≤ 45

d)

30 - s ≤ 45

95.

Todd caught at least three times as many fish this year than last year. He caught 63 fish this year. Which inequality represents how many fish he caught last year?

a)

3y > 63

b)

3y < 63

c)

3y ≤ 63

d)

3y ≥ 63

96.

Write an inequality:
Twenty-two more than four times a number is less than 82.

a)

22 + 4n ≤ 82

b)

22 + 4n > 82

c)

82 + 22n ≥ 4

d)

22 + 4n < 82

97.

6. Pet Supplies makes a profit of $5.50 per bag on its line of natural dog food. If the store wants to make a profit of no less than $5225, how many bags of dog food does it need to sell?

a)

x/5.50 ≥ 5225

b)

5.50x ≥ 5225

c)

x + 5.50 ≤ 5225

d)

x - 5.50 ≤ 5225

98.

If your grade is less than a 60, then you have an F.

a)

x < 60

b)

x > 60

c)

x ≤ 60

d)

X ≥ 60

99.

Mt. Everest is 29,028 feet above sea level. The Dead Sea is 1,312 feet below sea level. What is the different between these two elevations?

**only answer with the integer, NO WORDS**

(a)

100.

In Buffalo, NY, the temperature was -14 degrees in the morning. If the temperature dropped 7 degrees, what is the temperature now?

**only answer with the integer, NO WORDS**

(a)

101.

A submarine was situated 800 feet below sea level. If it ascends 250 feet, what is its new position?

**only answer with the integer, NO WORDS**

(a)

102.

Maggie owes the candy store $35. Each of her 5 friends will help her pay off her debt. How much will each friend pay?

**only answer with the integer, NO WORDS**

**HINT HINT - we're talking MONEY here!**

(a)

103.

Lilly bought 4 pairs of blue jeans at $32 each. How much money did she pay the clerk?

**only answer with the integer, NO WORDS**

** HINT HINT - she is GIVING her money away **

(a)

104.

Nathan ended round one of a quiz with 200 points. In round two, he scored -300 points and in the third round, he gained 200 points. What was his total score at the end of the third round?

**only answer with the integer, NO WORDS**

(a)

105.

In an online practice test, Jack scores 18 points for the questions he answered correctly and gets -2 points for each incorrect answer. Jack answered 3 questions incorrectly. How many points did Jack score?

**only answer with the integer, NO WORDS**

(a)

106.

Bryan works as an underwater photographer. He starts at a position that is 15 feet below sea level. He rises 9 feet, then descends 12 feet to take a photo of a coral reef. What is his current depth?

**only answer with the integer, NO WORDS**

(a)

107.

Ashley’s account is credited with $48 and then debited with $80. What is her balance?

**only answer with the integer, NO WORDS**

(a)

108.

Jose earned 80 points in a video game. He lost 30 points, earned 97 points, then lost 50 more points. What is his final score in the video game?

**only answer with the integer, NO WORDS**

(a)

109.

Maggie owes the candy store $35. Write this situation as an integer.

(a)

110.

Kennedy made 12 3/8 cups of tea. She and her friends drank 7 1/4 cups. How much was left?

a)

5 1/4 cups

b)

4 1/8 cups

c)

5 1/8 cups

d)

5 3/8 cups

111.

Julia scored 3 5/8 pounds of candy for Halloween. Roderick scored 2 3/4 pounds. How many total pounds of candy did Julia and Roderick score combined?

a)

6 1/4 pounds

b)

6 3/8 pounds

c)

6 5/8 pounds

d)

6 1/8 pounds

112.

Cornelia spends 2 2/3 hours studying for her big science test. She spent 2/3 of an hour finishing her writing assignment and 1/4 of an hour playing outside. How much time did she spend overall on the three activities?

a)

3 3/4 hours

b)

3 7/12 hours

c)

3 5/12 hours

d)

3 1/2 hours

113.

Daniella made 2 4/5 cups of lemonade on Wednesday and 1 1/2 cups of lemonade on Thursday. How much lemonade did she make on those two days combined?

a)

4 2/5 cups

b)

4 3/10 cups

c)

4 1/10 cups

d)

4 1/2 cups

114.

Daniel's cat ate 1 5/6 pounds of cat food last week. This week, he ate 3/4 pounds less. How much cat food did he eat this week?

a)

1 1/12 pounds

b)

1 1/6 pounds

c)

1 1/4 pounds

d)

1 1/8 pounds

115.

Diana weighs 3 1/5 pounds less than Theresa. If Diana weighs 54 2/3 pounds, how much does Theresa weigh?

a)

57 14/15 pounds

b)

58 1/15 pounds

c)

57 13/15 pounds

d)

57 4/5 pounds

116.

Billy the dog weighs 9 2/5 pounds more than Henry the dog. If Henry weights 22 1/4 pounds, how much does Billy weigh?

a)

31 13/20 pounds

b)

32 1/20 pounds

c)

32 11/20 pounds

d)

31 11/20 pounds

117.

Thomas walked 1 1/4 miles from his home to his school. Jackson walks 1 2/3 miles from his home to work. How much farther does Jackson walk to school than Thomas?

a)

5/12 of a mile

b)

7/12 of a mile

c)

1/5 of a mile

d)

1/2 of a mile

118.

Clara grew 2 1/8 inches from her ninth birthday to her tenth birthday. If she was 53 2/3 inches when she turned nine. How tall was she when she turned ten?

a)

55 19/24 inches

b)

55 5/6 inches

c)

56 5/6 inches

d)

56 1/24 inches

119.

Adam ran 2 1/3 miles. Lucy ran 1 3/4 miles. How many miles did the two runners run combined?

a)

4 1/12

b)

3 8/9

c)

4 1/6

d)

3 11/12

Grade 6 Math Skills Review Week 1

Total questions: 119

Worksheet time: 8hrs 58mins

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