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SOL Review

Total questions: 100

Worksheet time: 50mins

Name
Class
Date
1.

Powers of 10 are exponents with a base of ________.

a)

2

b)

5

c)

10

d)

100

2.

A power of 10 with a __________ exponent is a value one or greater.

a)

negative

b)

zero

c)

positive

d)

fractional

3.

A power of 10 with a __________ exponent is a value between 0 and 1.

a)

positive

b)

negative

c)

whole number

d)

even

4.

Which value is equal to 10510^5 ? Select all that apply.

a)

50

b)

10 x 10 x 10 x 10 x 10

c)

100,000

d)

10/1 x 10/1 x 10/1 x 10/1 x 10/1

5.

Using the pattern, what is the value of 10010^0 ?

a)

10

b)

1

c)

0

d)

-10

6.

Using the pattern, what is the value of 10−610^{-6} ?

a)

1/6,000,000

b)

-1/60

c)

1/1,000,000

d)

1/-60

7.

Select all values that are equivalent to the expanded form: 1/10 x 1/10.

a)

10−210^{-2}

b)

1102\frac{1}{10^2}

c)

1/20

d)

10210^2

8.

TRUE or FALSE: 10−310^{-3} = 0.003

a)

True

b)

False

9.

TRUE or FALSE: 10−410^{-4} = 0.00001

a)

True

b)

False

10.

To convert numbers between scientific notation and standard form, move the decimal point until the coefficient is a value between _____ and _____.

a)

0 and 1

b)

1 and 10

c)

10 and 100

d)

0 and 10

11.

A __________ exponent indicates a decimal number less than 1. A __________ exponent indicates a whole number greater than 1.

a)

positive, negative

b)

negative, positive

c)

zero, positive

d)

positive, zero

12.

To easily order numbers in scientific notation, first order the __________, then order the coefficients.

a)

coefficients

b)

exponents

c)

decimals

d)

numbers

13.

Convert 0.0000325 to scientific notation.

a)

3.2 × 10⁻⁵

b)

3.25 × 10⁻⁴

c)

3.25 × 10⁻⁵

d)

3.2 × 10⁵

14.

Convert to standard form: 5.732 × 10⁸

a)

573,200,000,000

b)

573,200,000

c)

5,732

d)

0.00000005732

15.

Which list is written in ascending order?

a)

5.6 × 10⁻⁷, 5.6 × 10², 2.8 × 10⁰

b)

5.6 × 10⁻⁴, 5.6 × 10⁻⁷, 2.8 × 10⁰

c)

5.6 × 10⁻⁴, 5.6 × 10⁻⁷, 3.9 × 10²

d)

5.6 × 10⁻⁷, 5.6 × 10⁻⁴, 3.9 × 10²

16.

Which list is written in order from greatest to least?

a)

2.16 × 10⁴, 3.08 × 10², 2.25 × 10⁻¹

b)

2.16 × 10⁴, 2.25 × 10⁻¹, 3.08 × 10²

c)

3.08 × 10², 2.25 × 10⁻¹, 2.16 × 10⁴

d)

3.08 × 10², 2.16 × 10⁴, 2.25 × 10⁻¹

17.

TRUE or FALSE? 6.08 × 10⁻³ > 6.08 × 10⁻⁵

a)

True

b)

False

18.

TRUE or FALSE? 4.37 × 10⁶ < 4.2 × 10⁶

a)

True

b)

False

19.

Which of the following can all represent the same value?

a)

A fraction, decimal, and percent

b)

A letter, number, and symbol

c)

A shape, color, and size

d)

A word, sentence, and paragraph

20.

To convert between fractions and decimals, you should use:

a)

Addition or subtraction

b)

Multiplication or division

c)

Multiplication or subtraction

d)

Addition or division

21.

To convert between decimals and percents, move the decimal how many places to the right or left?

a)

1

b)

2

c)

3

d)

4

22.

To convert between fractions and percents, first convert the value to a:

a)

Decimal

b)

Whole number

c)

Mixed number

d)

Ratio

23.

Compare: -0.40 ___ -0.04

a)

>

b)

<

c)

=

d)

≥

24.

Compare: 7/5 ___ 1.3

a)

>

b)

<

c)

=

d)

≤

25.

Compare: 1.34% ___ 1.34

a)

>

b)

<

c)

=

d)

≥

26.

Order these rational numbers from greatest to least: -4/5, 250%, √36, -1.25

a)

250%, -4/5, √36, -1.25

b)

-1.25, -4/5, 250%, √36

c)

250%, √36, -4/5, -1.25

d)

√36, 250%, -4/5, -1.25

27.

Order these rational numbers from least to greatest: 1/5, 1/3, 0.02, 50%

a)

0.02, 1/5, 1/3, 50%

b)

0.02, 1/3, 1/5, 50%

c)

50%, 1/5, 0.02, 1/3

d)

1/3, 0.02, 1/5, 50%

28.

Order these rational numbers from greatest to least: 30%, -0.03, -3.01, 0.0033

a)

30%, 0.0033, -0.03, -3.01

b)

-0.03, 0.0033, 30%, -3.01

c)

0.0033, 30%, -0.03, -3.01

d)

0.0033, -0.03, 30%, -3.01

29.

What is the value of √225?

a)

5

b)

15

c)

20

d)

25

30.

Which of these numbers is NOT a perfect square?

a)

25

b)

49

c)

50

d)

100

31.

What is the side length of a square whose area is 169 square centimeters?

a)

11 centimeters

b)

12 centimeters

c)

13 centimeters

d)

14 centimeters

32.

Identify the true statement.

a)

√7 = 49

b)

√200 = 12

c)

6 = √36

d)

324 = √10

33.

Which of these values is a perfect square?

a)

125

b)

196

c)

200

d)

220

34.

Identify the false statement.

a)

√361 = 19²

b)

√100 = 10

c)

289 = 17²

d)

9 = √81

35.

If Alex budgets $100 per month for dining out and has -$30.28 left in his restaurant category, with each fast-food meal costing $7.57, how many times did Alex dine after he spent his $100 budget?

a)

4

b)

5

c)

6

d)

7

36.

Camryn needs 1/2 cup of flour for a cake recipe. If she makes the same cake 5 times, how much flour will she need?

a)

5 cups

b)

2.5 cups

c)

1.5 cups

d)

10 cups

37.

Johnny wants to improve his running mileage. If he does 3 miles each time he runs now, how many miles will he need to run to improve by exactly 20%?

a)

4 miles

b)

3.5 miles

c)

3.6 miles

d)

3.2 miles

38.

Lorelai and Mark are making cupcakes for a school fundraiser. They need 150 cupcakes total. If Lorelai already made 2/3 of the cupcakes and Mark made 35, how many more do they need to make?

a)

10

b)

35

c)

20

d)

15

39.

John spent 2/5 of his monthly salary on rent. If he has $540 left, how much does John make per month?

a)

$500

b)

$600

c)

$750

d)

$900

40.

A swimming pool is 3/4 full, holding 900 gallons of water. What is the total capacity of the pool?

a)

1,000 gallons

b)

1,200 gallons

c)

1,500 gallons

d)

1,800 gallons

41.

A __________________ is formed by two equivalent ratios.

a)

proportion

b)

equation

c)

fraction

d)

product

42.

A __________ is a ratio with a denominator of ______.

a)

unit rate, 1

b)

fraction, 2

c)

percent, 100

d)

ratio, 10

43.

To solve for an unknown value in a proportion, use ________ - ___________.

a)

cross - multiplication

b)

addition - subtraction

c)

division - multiplication

d)

guess - check

44.

The ratio of girls to boys at the middle school is 4 to 3. If there are 351 boys, how many girls attend the middle school?

a)

468

b)

263

c)

1,053

d)

1,404

45.

In a scale drawing, 1 inch equals 40 feet. If the length of the drawing is 4.5 inches, how large is the actual object?

a)

180 feet

b)

180 inches

c)

8.8 feet

d)

8.8 inches

46.

Complete the ratio table:

a)

18

b)

9

c)

12

d)

24

47.

The car uses 18 gallons of gas in 4 days. How many gallons of gas will the car use in 10 days?

a)

45 gallons

b)

20 gallons

c)

50 gallons

d)

36 gallons

48.

Victor bought a television for $320, but it was on sale for 60% off. Estimate the price of the television.

a)

Approximately $120

b)

Approximately $180

c)

Approximately $200

d)

Approximately $150

49.

125 is what percent of 500?

a)

25%

b)

20%

c)

30%

d)

35%

50.

What is the sum of the faces of a 3D figure called?

a)

Volume

b)

Surface area

c)

Perimeter

d)

Circumference

51.

What is the amount of space inside a 3D figure called?

a)

Area

b)

Surface area

c)

Volume

d)

Perimeter

52.

A ______ is a two-dimensional representation of a 3D shape.

a)

Net

b)

Vertex

c)

Edge

d)

Face

53.

What is the formula for the volume of a cylinder?

a)

V = lwh

b)

V = πr²h

c)

V = 2πr² + 2πrh

d)

V = 2lw + 2lh + 2wh

54.

What is the formula for the surface area of a rectangular prism?

a)

SA = 2πr² + 2πrh

b)

SA = πr²h

c)

SA = 2lw + 2lh + 2wh

d)

SA = lwh

55.

Calculate the surface area of a cylinder with a height of 9 cm and a radius of 8 cm.

a)

326.56 cm²

b)

854.08 cm²

c)

452.16 cm³

d)

1,808.64 cm³

56.

Calculate the volume if each side of a cube is 1/4 of the given length (20 ft).

a)

150 feet squared

b)

150 feet cubed

c)

125 feet squared

d)

125 feet cubed

57.

The net below forms a rectangular prism. What is the surface area?

a)

33 square meters

b)

33 cubic meters

c)

94 square meters

d)

94 cubic meters

58.

Find the volume of a cylinder with a height of 14 inches and a radius of 4.5 inches.

a)

522.81 in³

b)

522.81 in²

c)

890.19 in²

d)

890.19 in³

59.

A circular swimming pool has a diameter of 12 feet and is 4 feet deep. How much water is needed to fill the entire pool?

a)

602.88 feet cubed

b)

452.16 feet cubed

c)

1,808.64 feet cubed

d)

150.72 feet squared

60.

Randall is wrapping a birthday present with a rectangular box measuring 12 inches in length, 14 inches in width, and 22 inches in height. If he doubles the wrapping paper for one dimension, which dimension will have the greatest impact on the surface area?

a)

Length

b)

Width

c)

Height

d)

They will all have the same effect.

61.

Similar figures have congruent ______________ and proportional ____________.

a)

angles, sides

b)

sides, angles

c)

angles, perimeters

d)

vertices, sides

62.

A ______________ can be used to represent the relationship between ____________ in similar figures.

a)

proportion, sides

b)

ratio, angles

c)

equation, vertices

d)

fraction, diagonals

63.

The sum of angles in a triangle is ______. The sum of angles in a quadrilateral is ______.

a)

180, 360

b)

90, 180

c)

270, 360

d)

360, 720

64.

ΔLMN ~ ΔBCA. Select the true statement.

a)

LM corresponds to BA

b)

MN corresponds to AB

c)

LN corresponds to BA

d)

AC corresponds to LN

65.

If ΔDEF ~ ΔLMN, then identify the true congruence statement.

a)

∠F ≈ ∠D

b)

∠E ≈ ∠L

c)

∠D ≈ ∠L

d)

∠L ≈ ∠M

66.

Which proportion could be used to determine the length of side v in these similar figures?

a)

8/9 = 2/v

b)

8/2 = v/9

c)

2/v = 9/8

d)

8/9 = v/2

67.

What is the length of ST?

a)

12

b)

8

c)

6.4

d)

4.8

68.

A scale drawing of a garden has a scale factor of 1/12. If the actual length of the garden is 24 feet, what is the length of the garden on the scale drawing?

a)

5 feet

b)

4 feet

c)

3 feet

d)

2 feet

69.

SNOW ~ ABCD. Select the true statement.

a)

∠A = 80°

b)

∠B = 80°

c)

∠C = 80°

d)

∠D = 100°

70.

Select the false statement about parallelograms.

a)

All rectangles are parallelograms.

b)

Parallelograms have two sets of parallel sides.

c)

Parallelograms have all equal sides.

d)

Parallelograms have congruent opposite angles.

71.

Which of the following shape always has congruent diagonals?

a)

trapezoid

b)

parallelogram

c)

rectangle

d)

rhombus

72.

Select the true statement.

a)

All parallelograms are rectangles.

b)

All squares are rectangles.

c)

All trapezoids are rectangles.

d)

All quadrilaterals are rectangles.

73.

A trapezoid has angle measures of 67°, 85°, and 117°. What is the missing angle?

a)

90°

b)

89°

c)

91°

d)

269°

74.

Find the missing angle measure of this parallelogram.

a)

65°

b)

115°

c)

230°

d)

35°

75.

What is the length of NL?

a)

15

b)

12

c)

8

d)

5

76.

What are the coordinates of T after ΔTUV is dilated with a scale factor of 2?

a)

(-16, 16)

b)

(-8, 8)

c)

(-4, 4)

d)

(-16, 8)

77.

Identify the coordinates of V after ΔTUV is dilated with a scale factor of 1/4.

a)

(4, 2)

b)

(-2, 1)

c)

(-32, -16)

d)

(1, 2)

78.

What is the scale factor represented in this dilation?

a)

1/2

b)

2

c)

1/4

d)

4

79.

What are the coordinates of X after WXYZ is dilated with a scale factor of 1/3?

a)

(1, -1)

b)

(9, -6)

c)

(3, -3)

d)

(3, -1)

80.

A map uses a scale of 1 inch = 4 miles. If the actual width of a city is 48 miles, how wide is the city on the map?

a)

192 inches

b)

192 miles

c)

12 miles

d)

12 inches

81.

A graphic designer is creating a logo with original dimensions of 2 inches by 4 inches. She uses a scale factor of 3 to enlarge the logo for an advertisement. What are the new dimensions for the advertisement?

a)

4 inches by 8 inches

b)

6 inches by 12 inches

c)

1 inch by 2 inches

d)

6 inches by 8 inches

82.

Probability is written as __________ outcomes over __________ outcomes.

a)

favorable, possible

b)

possible, favorable

c)

random, total

d)

favorable, random

83.

________ Probability: the expected result

a)

Theoretical

b)

Experimental

c)

Actual

d)

Possible

84.

________ Probability: the actual result

a)

Experimental

b)

Theoretical

c)

Possible

d)

Expected

85.

The experimental probability will get closer to the theoretical probability when the number of trials is __________.

a)

increased

b)

decreased

c)

doubled

d)

halved

86.

What is the theoretical probability that the spinner lands on 3?

a)

1/8

b)

1/4

c)

1/3

d)

3/8

87.

What is the theoretical probability that the spinner lands on an even number? Simplify.

a)

1/2

b)

4/8

c)

1/4

d)

1/8

88.

If a fair dice is rolled 6 times, how many times should the dice land on a 5?

a)

1

b)

3

c)

6

d)

0

89.

A fair dice is rolled twenty times. If the dice lands on 5 seven times, what is the experimental probability that the next roll is a 5?

a)

7/20

b)

1/6

c)

5/6

d)

21/20

90.

Mark flips a two-sided coin. He lands on heads 27 times and tails 33 times. What is the experimental probability that he will land on heads again?

a)

27/60

b)

27/33

c)

33/27

d)

33/60

91.

There are 7 purple marbles, 8 green marbles, and 6 blue marbles, and 3 red marbles in a bag. The chart records how many times each marble was drawn. For which color does the experimental probability equal the theoretical probability?

a)

red

b)

purple

c)

green

d)

blue

92.

How many total students were surveyed?

a)

6

b)

29

c)

20

d)

35

93.

How many students studied at least 12 minutes?

a)

4

b)

6

c)

9

d)

12

94.

The ages of students in the college class are 18, 18, 18, 18, 18, 18, 19, 19, 19, 20, 20, 21, 22, 23, 24, 27, 48. What would be the best way to represent the data?

a)

Intervals of 2 so each data point is seen

b)

Intervals of 10 so there are fewer bars and less work

c)

Intervals of 5 that show 6 clear age groups

d)

Intervals of 3 because it divides the data into more detail

95.

What percent of coffee was sold between 6:00 and 7:59?

a)

20%

b)

40%

c)

50%

d)

80%

96.

How many cups of coffee were sold at 7:30?

a)

30

b)

15

c)

20

d)

unknown

97.

Which statement cannot be concluded from the histogram only?

a)

Four people scored a 91-100.

b)

25% of the class scored in the 61-70 range.

c)

Two people scored a 74.

d)

Sixteen total people are represented.

98.

The ________ of a line (m) is a rate of change. It can be represented as change in ___ / change in ___.

a)

slope, y, x

b)

intercept, x, y

c)

equation, x, y

d)

variable, y, x

99.

A __________ relationship is written in the form y = mx.

a)

proportional

b)

exponential

c)

quadratic

d)

constant

100.

Write an equation to represent the relationship in the table: x | y 1 | 2 2 | 4 5 | 10

a)

y = 5x

b)

y = 2x

c)

y = ½x

d)

y = ¼x

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