Free Printable 6th NSCAS Review

1.

What is the opposite of the integer on the number line?

a)

2

b)

-1

c)

1

d)

0

2.

Express an integer: a debt of $50

a)

50

b)

-50

3.

Which is not an integer?

a)

-5

b)

12

c)

0

d)

-1/2

4.

Compare: -3 ___ -5

a)

-3 > -5

b)

-3 = -5

c)

-3 < -5

5.

Compare: -12 ____ -2

a)

-12 < -2

b)

-12 > -2

c)

-12 = -2

6.

Order from least to greatest: -5, -17, 3, 0

a)

3, 0, -5, -17

b)

3, 0, -17, -5

c)

-17, -5, 0, 3

d)

-5, -17, 0, 3

7.

Which is greater?
-9 or -3

a)

-3

b)

-9

c)

they are equal

8.

Which list orders the integers from least to greatest?

a)

-5, 3, -2, l -4l

b)

-2, 3, l-4l, -5

c)

-5, -2, 3, l-4l

d)

-2, -5, 3, l-4l

9.

Which represents the absolute value of 10?

a)

10

b)

-10

c)

-1/10

d)

11

10.

l-4l

a)

-4

b)

0

c)

4

d)

-0

11.

What is the greatest common factor of 30 and 49?

a)

1

b)

5

c)

6

d)

7

12.

What is the greatest common factor of 14 and 35?

a)

2

b)

7

c)

8

d)

5

13.

There are 40 girls and 32 boys who want to participate in 6th grade intramurals. If each team must
have the same number of girls and the same number of boys. What is the greatest number of teams that can participate in intramurals?

a)

6

b)

4

c)

8

d)

2

14.

Kiara baked 30 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers
for her teacher friends at school. She wants to divide the cookies into identical containers so that each
container has the same number of each kind of cookie. If she wants each container to have the
greatest number of cookies possible, how many plastic containers does she need?

a)

2

b)

4

c)

6

d)

8

15.

What is the least common multiple (LCM) of 4 and 10?

a)

4

b)

40

c)

15

d)

20

16.

Find the least common multiple (LCM) of 6 and 12.

a)

3

b)

4

c)

6

d)

12

17.

The multiples of 7 are
1,6,7,9,3,6,4

a)

True

b)

False

18.

Cups are sold 5 to a package and plates are sold 10 to a package. If you want to have the same number of each item for a party, what is the least number of packages of each you need to buy?

a)

30

b)

20

c)

50

d)

10

19.

Use a number tree to find the prime factorization of 34

a)

2x2x2x4

b)

2x2x2x2x2

c)

4x4x2

d)

2x2x2x2x1

20.

Classify the Number: -23

a)

Rational

b)

rational, integer

c)

integer

d)

rational, whole

21.

Classify 3

a)

Whole, Integer, Rational

b)

Whole, Rational

c)

Integer

d)

Rational

22.

How would 5/9 be classified?

a)

rational

b)

whole and integer

c)

only integer

d)

only whole

23.

How would 0.333333 be classified?

a)

rational only

b)

whole

c)

only integer

d)

integer and rational

24.

Simplify 8/12

a)

2/3

b)

3/4

c)

1/2

d)

4/6

25.

Gina had 1/4 of a pizza and she shared it with 3 people How much did each person get?

a)

add

b)

subtract

c)

multiply

d)

divide

26.

a)

5/6

b)

3/15

c)

3/8

d)

2/15

27.

Multiply

a)

6

b)

4 / 45

c)

20

d)

7 /45

28.

Multiply.

a)

3 1/10

b)

85/20

c)

4 5/20

d)

4 1/4

29.

a)

187/48

b)

22/25

c)

44/51

d)

88/102

30.

Laney bought 1 2⁄3 pounds of grapes. She also bought bananas that were 2 1⁄4 times the weight of the grapes. How much did the bananas weigh?

a)

4 3⁄4 pounds

b)

3 3⁄4 pounds

c)

4 4⁄3 pounds

d)

3 4⁄3 pounds

31.

a)

9/12

b)

9/14

c)

7/8

d)

6/24

32.

1/8 + 1/9

a)

17/72

b)

2/17

c)

2/20 = 1/10

d)

1/20

33.

54/72

a)

5/6

b)

3/4

c)

2/3

d)

3/5

34.

36/54

a)

5/6

b)

3/4

c)

2/3

d)

3/5

35.

What is 295 divided by 5?

a)

57

b)

58

c)

59

d)

56

36.

What is 1,092 divided by 2?

a)

545

b)

547

c)

545

d)

546

37.

What is 2,365 divided by 11?

a)

215

b)

214

c)

218

d)

216

38.

Find the sum: 35.61 + 12.93

a)

45.84

b)

48.54

c)

35.81

d)

54.87

39.

Tamara is able to jump 17.6 feet. The world record in the long jump is 39.3 feet. What is the difference between the world record and the distance that Tamara can jump?

a)

21.7

b)

20.7

c)

31.7

d)

32.7

40.

Find the sum.
2.98 + 5.3 = ____

a)

2.51

b)

8.28

c)

3.63

d)

2.37

41.

How many numbers will be behind the decimal in our answer for: 0.2 x 0.8

a)

1

b)

2

c)

3

d)

4

42.

4 x 0.03

a)

12

b)

0.12

c)

120

d)

0.012

43.

7.13 x 5.5

a)

39.215

b)

3.9215

c)

392.15

d)

3921.5

44.

7.12 x 3 =

a)

21.36

b)

213.6

c)

21.49

d)

214.9

45.

A florist sells a dozen roses for $29.88. What is the cost of one rose?

a)

$2.41

b)

$2.49

c)

$2.40

d)

$2.08

46.

What is 63.2 divided by 5?

a)

12.63

b)

12.87

c)

12.64

d)

12.65

47.

Jason has a piece of wire that is 62.4 inches long. He cuts the wire into 3 equal pieces. Which is the best estimate of the length of each piece of wire?

a)

30 inches

b)

3 inches

c)

20 inches

d)

2 inches

48.

1.8 ÷ 0.6

a)

0.6

b)

3

c)

0.3

d)

0.96

49.

0.48 ÷ 0.4

a)

1.2

b)

12

c)

0.12

d)

0.012

50.

The ratio of red counters to blue counters is 3 : 1

What fraction of the counters are blue?

a)

¹/₄

b)

³/₄

c)

¹/₃

d)

³/₁

51.

A class is attended by 16 boys and 32 girls. Write the ratio of GIRLS to BOYS as a fraction in SIMPLEST FORM.

a)

$\frac{32}{16}$

b)

$\frac{1}{2}$

c)

$\frac{16}{32}$

d)

$\frac{2}{1}$

52.

What is the ratio of 7 days to one month written 3 different ratio ways? Select all that apply.

a)

$\frac{1}{7}$

b)

$\frac{7}{1}$

c)

1:7

d)

7 to 1

e)

7:1

53.

A box of dried fruit has 76 calories in 4 servings. How many calories are there per serving?

a)

19

b)

20

c)

304

d)

284

54.

A 6-pound bag of wildflower seed covers 15 square feet. How many pounds of seed does it take to cover 1 square foot?

a)

4

b)

0.4

c)

90

d)

9

55.

A plant grew 18 inches over 5 months. The plant grows the same amount each month. How much did the plant grow in 7 months?

a)

3.6 inches

b)

126 inches

c)

25.2 inches

d)

35 inches

56.

An airplane on autopilot took 6 hours to travel 4,164 kilometers. What is the unit rate for kilometers per hour?

a)

496 km/hr

b)

469 km/hr

c)

649 km/hr

d)

694 km/hr

57.

After 3 hours, Ernie had travelled 195 miles. If he travels at a constant speed, how far will he have travelled after 5 hours?

a)

400 miles

b)

325 miles

c)

575 miles

d)

650 miles

58.

Tom is deciding between two cars based upon the gas consumption. He wants to get the car that gets more miles per gallon.
Car A traveled 90 miles using 5 gallons of gas. Car B traveled 168 miles using 8 gallons of gas. How many mpg does car A get? How many mpg does Car B get? Which car should Tom buy?

a)

Car A 21 mpg, Car B 18 mpg, Car B

b)

Car A 16 mpg, Car B 21 mpg. Car A

c)

Car A 18 mpg, Car B 21 mpg, Car A

d)

Car A 18 mpg, Car B 21 mpg Car B

59.

What is the missing number in the ratio table?

a)

72

b)

85

c)

76

d)

90

60.

Does this graph represent a proportional relationship?

a)

No, because it doesn't pass through the origin.

b)

Yes, because it doesn't pass through the origin.

c)

Yes, because it intersects the y axis.

d)

No, because it intersects the x axis.

61.

$\frac{x}{5}=\frac{8}{10}$

a)

x=7

b)

x=4

c)

x=2

d)

x=3

62.

Hunter buys 36 baseball cards for $18. How many baseball cards can Troy buy if he has $9?

a)

18 baseball cards

b)

4 baseball cards

c)

24 baseball cards

d)

16 baseball cards

63.

Mrs. Sparks has been craving smoothies lately. She buys a 20oz chocolate smoothie for $7. Mrs. Jones also buys a 17oz chocolate smoothie. How much is Mrs. Jones smoothie?

a)

$5.95

b)

$6

c)

8.24

64.

6 pencils costs 36 cents. How much do 2 pencils cost?

a)

6

b)

12

c)

3

d)

8

65.

8 sweets cost 72 cents. How much do 6 sweets cost?

a)

45

b)

54

c)

36

d)

24

66.

What is 1/10 as a decimal?

a)

0.1

b)

0.01

c)

0.2

d)

0.001

67.

What fraction is equivalent to 0.2?

a)

1/10

b)

¼

c)

⅕

d)

2/100

68.

How do you write ⅕ as a percent?

a)

10%

b)

25%

c)

1%

d)

20%

69.

represents what fraction?

a)

⅓

b)

33/100

c)

1/33

d)

33.3/100

70.

¾ is equivalent to what percent?

a)

34%

b)

70%

c)

75%

d)

80%

71.

1/8

a)

0.18

b)

0.12

c)

0.125

d)

0.225

72.

Fraction to a Percent
3/8

a)

37.5%

b)

3.75%

c)

.375%

73.

Write 19/25 as a percent.

a)

19%

b)

25%

c)

76%

d)

50%

74.

Write 3/5 as a percent.

a)

3%

b)

30%

c)

5%

d)

60%

75.

Write 7/9 as a percent.

a)

77.8%

b)

79%

c)

7%

d)

9%

76.

Write 0.17 as a percent.

a)

1.7%

b)

17%

c)

.0017%

d)

170%

77.

Write 0.06 as a percent.

a)

6%

b)

60%

c)

0.6%

d)

0.06%

78.

Find 78% of 160.

a)

128.4

b)

124.8

c)

124

d)

128

79.

Find 12% of 325.

a)

3,900

b)

300

c)

900

d)

39

80.

Madelyn made 45% of her shots at a basketball game. If she attempted 20 shots, how many did she actually make?

a)

9

b)

10

c)

0.9

d)

90

81.

If a shirt is on sale for $9 because it was 75% off, then what was the original price of the shirt?

a)

$12

b)

$67

c)

$675

d)

$3

82.

Sire spent 60% of his money to buy a new television. If the television cost $300, how much money did he have in total before he spent it?

a)

$3,000

b)

$450

c)

$600

d)

$500

83.

What % of 8 is 6

a)

75%

b)

.75%

c)

750%

d)

7%

84.

What percent of 120 is 225?

a)

187%

b)

1875%

c)

187.5%

d)

12%

85.

Write the following in expanded form.
10³

a)

10+10+10

b)

10x10x10

c)

3x10

d)

1,000

86.

Evaluate.

a)

9

b)

6

c)

12

d)

18

87.

What is 5 to the first power?

a)

1

b)

5

c)

0

d)

10

88.

What is 3 to the power of 0?

a)

0

b)

3

c)

1

d)

30

89.

Evaluate.

a)

81

b)

18

c)

92

d)

9

90.

What is a Prime Number?

a)

A number that has more than two factors

b)

An Odd Number

c)

A number that only has two factors; one and itself.

d)

An online store with free shipping

91.

What is a factor?

a)

Two numbers that create a quotient.

b)

Two numbers that create a product.

c)

Two numbers that create a sum.

d)

Two numbers that create a difference.

92.

What is the Prime Factorization of 144?

a)

2⁴x 3²

b)

2²x 3⁴

c)

2⁴x 3⁴

d)

2² x 3 x 3²

93.

What is the Prime Factorization of 460?

a)

2² x 5 x 23

b)

2²x 5³

c)

2² x 3 x 5 x 23

d)

3²x 5 x 23

94.

What is the standard form of 2² x 3² x 5

a)

120

b)

180

c)

90

d)

140

95.

What does the E in PEMDAS stand for?

a)

Equals

b)

Equivalent

c)

Exponent

d)

Even

96.

Solve: (2×10)+4

a)

20

b)

26

c)

7

d)

24

97.

Solve the following:
(2 + 7 - 1) ÷ 2²

a)

16

b)

2

c)

72.25

d)

8.75

98.

Solve the following:
5 - 6² ÷ 4 - 3

a)

1

b)

-10.75

c)

-31

d)

-7

99.

8² +(7-4)²

a)

74

b)

72

c)

70

d)

73

100.

The sum of 13 and twice a number h

a)

13 + 2h

b)

13 - 2h

c)

13 x 2h

d)

13 / 2h

101.

The product of 7 and j increased by 3.

a)

3+7j

b)

7j-3

c)

7(j+3)

d)

3j+7

102.

Which of the following best describes the algebraic expression 3(x - 5)?

a)

Three times a number minus five

b)

Three times the quantity of a number minus five

c)

Three times the quantity of a number plus five

d)

Three times a number plus five

103.

Write the phrase as an expression.
twice a number x plus 8

a)

2 + 8x

b)

2x + 8

104.

Write the phrase as an expression.
12 fewer than 22

a)

22/12

b)

12 - 22

c)

22 - 12

105.

b² + 4
when b = 3

a)

10

b)

12

c)

13

d)

11

106.

6a - 3d
when a = 1, d = 2

a)

3

b)

12

c)

1

d)

0

107.

Evaluate 3x + 8 if x = 2

a)

13

b)

14

c)

15

d)

16

108.

Evaluate 4y if y = 3

a)

7

b)

12

109.

Which property is this example?
5 x 6 = 6 x 5

a)

Commutative property of multiplication

b)

Associative Property of multiplication

c)

Distributive property of multiplication

d)

Identity property of multiplication

110.

Which property is this example?
3(5+y)=15+3y

a)

Commutative property of multiplication

b)

Associative Property of multiplication

c)

Distributive property of multiplication

d)

Identity property of multiplication

111.

Which property is this example?
100 + 0 = 100

a)

Commutative property of addition

b)

Associative Property of addition

c)

Distributive property of multiplication

d)

Identity property of addition

112.

Which property is this example?
7(8x9) = 9(8x7)

a)

Commutative property of multiplication

b)

Associative Property of multiplication

c)

Distributive property of multiplication

d)

Identity property of multiplication

113.

6a + 3a =

a)

9a

b)

(a + a + a + a + a) + (a + a + a)

c)

9 + a

d)

6a + 3 + a

114.

9z - 2z =

a)

11z

b)

(9 x 2)z

c)

z + z + z + z + z + z + z + z + z + z + z

d)

(9 - 2)z

115.

3p + 7p + p =

a)

10p

b)

11p

c)

(3 + 7) + p

d)

(3 x 7) p

116.

Deterime if the following is a sloution for 6x = 54; x = 8

a)

Yes

b)

No

117.

Emily earns $14 per hour. Which equation represents how many hours she worked to earn $112?

a)

14h = 112

b)

h + 14 = 112

c)

14 / h = 112

d)

h - 14 = 112

118.

Hector Iphone 8 screen area is 18 square inches. Its width is 6 inches. Which equation could you use to find its length?

a)

6 = 18

x

b)

18 - x = 6

c)

6x = 18

d)

6 + x =18

119.

Solve
4 = 2 + x

a)

x = 6

b)

x = 2

c)

x = 8

d)

x =-2

120.

Solve
12 = y + 5

a)

y = 17

b)

y = -7

c)

y = 8

d)

y = 7

121.

Solve
x - 9 = 15

a)

x = 6

b)

x =-6

c)

x = 23

d)

x = 24

122.

Solve

y+1.34=4.7

a)

$y=6.04$

b)

$y=1.81$

c)

$y=3.46$

d)

$y=3.36$

123.

Solve the following s+12.5=14

a)

15.0

b)

42r

c)

543

d)

5778

124.

Solve 3c = 12

a)

36

b)

9

c)

4

d)

15

125.

Solve 32 = 4d

a)

28

b)

36

c)

128

d)

8

126.

Find the reciprocal of 7

a)

$\frac{1}{7}$

b)

$\frac{7}{1}$

c)

$1\frac{1}{7}$

d)

$\frac{7}{7}$

127.

What is the reciprocal of:

\frac{2}{5}

a)

$\frac{2}{5}$

b)

$\frac{5}{2}$

c)

$\frac{5}{1}$

d)

$\frac{1}{5}$

128.

Solve:

\frac{1}{3}x=6

a)

2

b)

18

c)

1/2

d)

60

129.

Solve: $\frac{3}{4}v=5$

a)

$v=\frac{20}{3}$

b)

$v=\frac{15}{4}$

c)

$v=\frac{1}{2}$

d)

$v=\frac{12}{5}$

130.

$\frac{3}{7}k=\frac{12}{35}$

(*hint: after your first step, cross-reduce to make solving easier)

a)

k = $\frac{4}{7}$

b)

k = $\frac{4}{5}$

c)

k = 4.5

d)

k = -1

131.

Mike has at least $250 in his savings account. Which inequality represents this situation?

a)

m < 250

b)

m > 250

c)

m ≤ 250

d)

m ≥ 250

132.

Zach can spend at most $100 on new cloths. Which inequality represents this situation?

a)

s < 100

b)

s > 100

c)

s ≤ 100

d)

s ≥ 100

133.

The band practice will be less than 45 minutes long on Friday. Which inequality represents this situation?

a)

p < 45

b)

p > 45

c)

p ≤ 45

d)

p ≥ 45

134.

a)

A

b)

B

c)

C

d)

D

135.

a)

A

b)

B

c)

C

d)

D

136.

Which graph matches the inequality
2 > p?

a)

A

b)

B

c)

C

d)

D

137.

Which of the following is a solution to the inequality

x + 1/2> 1.5

a)

2

b)

.5

c)

1

d)

1/2

138.

Which letter matches the coordinate (4, -6)?

a)

G

b)

Z

c)

K

d)

None of the above

139.

Where is point E located?

a)

( 2, 0 )

b)

( 2 , 2 )

c)

( 0 , 2 )

d)

( 0 , 0 )

140.

Give the coordinates for POINT H.

a)

(-1, 2)

b)

(1, -2)

c)

(-1, -2)

d)

(1 , 2)

141.

Give the coordinates for POINT I.

a)

(-2, 5)

b)

(-2, -5)

c)

(2, 5)

d)

(2, -5)

142.

The coordinates for the origin in the coordinate plane are________?

a)

(1,1)

b)

(0,0)

c)

(0,1)

d)

(1,0)

143.

When plotting points in a coordinate plane, which directions should you go first?

a)

left or right

b)

up or down

c)

left

d)

up

144.

The y-axis is _______?

a)

Vertical

b)

Horizontal

c)

criss-cross

d)

diagonal

145.

On a graph, which axis shows the dependent variable?

a)

x-axis

b)

y-axis

c)

neither

d)

it changes

146.

On a graph, which axis shows the independent variable?

a)

x-axis

b)

y-axis

c)

neither

d)

it changes

147.

Grace is bringing treats to her Algebra 1 class on her birthday. The number of treats she brings is based on the number of students in her class.

Which of the variables is independent?

a)

number of students

b)

number of treats

148.

Jimmy earned $8 for every pizza he delivers.

m = money (dollars)

p = number of pizzas delivered

The dependent variable is:

a)

m = money

b)

p = number of pizzas delivered

149.

Emma gets one sticker for every paper she completes.

s = stickers earned

p = papers completed

The independent variable is:

a)

s = stickers earned

b)

p = papers completed

150.

Asher is planning an experiment to find out how the height from which he drops a ball affects how high the ball bounces. The dependent variable is the _____.

a)

Diameter of the ball

b)

Force acting on the ball

c)

Height that the ball bounces

d)

Height from which the ball is dropped

151.

Find AREA

a)

20 cm²

b)

56 cm²

c)

28 cm²

d)

27 cm²

152.

Find the area

a)

430 in²

b)

215 in²

c)

41.5 in²

d)

1.5 in²

153.

Find the area of the trapezoid.

a)

18 m²

b)

165 m²

c)

84 m²

d)

22.5 m²

154.

The two bases in a trapezoid must always be ____________ one another.

a)

perpendicular to

b)

parallel to

c)

equal to

d)

multiplied by

155.

What is the area of the triangle?

a)

460 cm

b)

460 square cm

c)

230 square cm

d)

230 cm

156.

Which number represents the height of the parallelogram?

a)

2 m

b)

1.8 m

c)

2.5 m

157.

Find the area of a triangle with a height of 4 mm and a base of 6 mm?

a)

5 mm squared

b)

6 mm squared

c)

12 mm squared

d)

24 mm squared

158.

Find the Area of this triangle.
(the side length is 7km)

a)

19.8 km²

b)

37.8 km²

c)

18.9 km²

d)

35 km²

159.

A triangle has an area of 230.86 square inches. The height of the triangle is 23.8 inches. What is the length of the base of the triangle?

a)

23.8 in

b)

10.1

c)

19.4

d)

2,747.234

160.

A parking lot in the shape of a trapezoid has an area of 12,052.1 square meters. The length of one base is 82.4 meters, and the length of the other base is 108.6 meters. What is the width of the parking lot?

a)

126.2 m

b)

63.1

c)

252.4

d)

189.3

161.

Find the area of the shaded region

a)

36cm²

b)

50cm²

c)

32cm²

d)

4cm²

162.

What is the area of this figure?

a)

52 square centimeters

b)

36 square centimeters

c)

57 square centimeters

d)

40 square centimeters

163.

The rectangle shown has coordinates (3, 2), (-2, 2), (-2, -1), (3, -1)

What is the length of the longest side of the rectangle?

a)

4 units

b)

5 units

c)

2 units

d)

3 units

164.

Points G, H, and I are plotted on the coordinate grid. How many units are between points G and H?

a)

15 units

b)

14 units

c)

10 units

d)

9 units

165.

Find the distance between the two ordered pairs.

a)

5 units

b)

6 units

c)

7 units

d)

10 units

166.

What is the distance between the following ordered pairs: (5, 6) and (5, 8)

a)

3 units

b)

4 units

c)

5 units

d)

2 units

167.

What is the perimeter of the shape?

a)

20 units

b)

12 units squared

c)

22 units

d)

32 units squared

168.

What is the area of the shape?

a)

35 units squared

b)

24 units squared

c)

not enough information

d)

22 units squared

169.

This is a net of what shape?

a)

Triangular Prism

b)

Rectangular Prism

c)

Cube

d)

Pyramid

170.

Which one is the correct net of a cube?

a)

A

b)

B

c)

C

d)

D

171.

This is a net of what shape?

a)

Cube

b)

Rectangular Prism

c)

Triangular Prism

d)

Square Pyramid

172.

Find the Surface Area

a)

556 cm²

b)

278 cm²

c)

680 cm²

d)

340 cm²

173.

Find the surface area of this figure.

a)

148 cm²

b)

120 cm²

174.

What is the total surface area of the triangular prism shown?

a)

468 in²

b)

540 in²

c)

576 in²

d)

700 in²

175.

What is the volume of this prism?

a)

24 cubic cm

b)

240 cubic cm

c)

60 cubic cm

d)

20 cubic cm

176.

What is the volume of this prism?

a)

20 cubic feet

b)

8 cubic feet

c)

40 cubic feet

d)

11 cubic feet

177.

a)

210 in³

b)

260 in³

c)

2160 in³

d)

2610 in³

6th NSCAS Review

Total questions: 177

Worksheet time: 12hrs 41mins

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