Free Printable End of Year Review

1.

What is the probability of rolling a 2 on a die?

a)

$\frac{1}{2}$

b)

$\frac{1}{3}$

c)

$\frac{1}{6}$

d)

$\frac{1}{4}$

2.

What is the probability of choosing a King from a standard deck of cards?

a)

$\frac{1}{13}$

b)

$\frac{1}{4}$

c)

$\frac{1}{52}$

d)

$\frac{1}{26}$

3.

What is the result of multiplying $\frac{3}{5} \times \frac{2}{7}$ ?

a)

$\frac{6}{35}$

b)

$\frac{5}{24}$

c)

$\frac{7}{15}$

d)

$\frac{3}{10}$

4.

What is the result of multiplying $\frac{11}{3}$ by $\frac{23}{5}$ ?

a)

$\frac{253}{15}$

b)

$\frac{253}{30}$

c)

$\frac{253}{10}$

d)

$\frac{253}{5}$

5.

What is 30% of 80?

a)

24

b)

20

c)

30

d)

28

6.

What percent of 50 is 20?

a)

40%

b)

20%

c)

50%

d)

30%

7.

10% of what number is 30?

a)

300

b)

150

c)

3

d)

30

8.

What is the mean of the numbers 12, 14, 11, 16, 9, 12, 17?

a)

12

b)

13

c)

14

d)

15

9.

What is the median of the numbers 12, 14, 11, 16, 9, 12, 17?

a)

11

b)

12

c)

13

d)

14

10.

What is the mode of the numbers 12, 14, 11, 16, 9, 12, 17?

a)

9

b)

11

c)

12

d)

14

11.

What is the range of the numbers 12, 14, 11, 16, 9, 12, 17?

a)

6

b)

7

c)

8

d)

9

12.

How does an outlier affect the mean and range?

a)

It has no effect

b)

It greatly affects them both

c)

It only affects the mean

d)

It only affects the range

13.

What is the volume of a rectangular prism with dimensions 5 in, 3 in, and 10 in?

a)

100 in³

b)

150 in³

c)

200 in³

d)

250 in³

14.

$V\ =\ \frac{1}{3}\cdot l\ \cdot w\cdot h$

What is the volume of a triangular prism with a base 2 in by 9 in base and height of 10 in?

a)

30 in³

b)

45 in³

c)

60 in³

d)

75 in³

15.

$V\ =\pi\ r^2\ \cdot\ h$

What is the volume of a cylinder with a radius of 3 in and height of 10 in?

a)

282.6 in³

b)

300 in³

c)

314 in³

d)

350 in³

16.

$V=\frac{4}{3}\cdot\pi\cdot r^3$

What is the volume of a sphere with a radius of 5 in?

a)

418.67 in³

b)

450.33 in³

c)

500.25 in³

d)

523.33 in³

17.

What is the surface area of a rectangular prism with dimensions 3 in by 7 in by 10 in?

a)

200 in²

b)

242 in²

c)

210 in²

d)

230 in²

18.

$S.A.=2\cdot\pi\cdot r^2\ +\pi\cdot d\cdot h$

How do you calculate the surface area (S.A.) of a cylinder with a height of 10 in and a radius of 3 in?

a)

S.A. = 244.92

b)

S.A. = 188.4

c)

S.A. = 28.26

d)

S.A. = 56.52

19.

$S.A=4\cdot\pi\cdot r^2$

What is the surface area of a sphere with a radius of 5 in?

a)

314 in²

b)

314.92 in²

c)

241 in²

d)

250 in²

20.

What is the solution to the system of equations using the Equal Values Method:

y = 5x - 2 and y = 3x + 6?

a)

(4, 18)

b)

(5, 10)

c)

(-7, 3)

d)

(0, 0)

21.

Using the Substitution Method, what is the value of y in the system of equations:

x = -3y + 35 and 4x - 3y = -10?

a)

(5, 10)

b)

(10, 5)

c)

(3, 5)

d)

(4, 10)

22.

What is the solution to the system of equations using the Elimination Method:

4x + 4y = -16 and 2x + 8y = 10?

a)

(-7, 3)

b)

(4, 18)

c)

(5, 10)

d)

(0, 0)

23.

What is the sum of complementary angles?

a)

90 degrees

b)

180 degrees

c)

360 degrees

d)

45 degrees

24.

What is the sum of supplementary angles?

a)

90 degrees

b)

180 degrees

c)

360 degrees

d)

45 degrees

25.

How many ounces are in a pound?

a)

8 ounces

b)

12 ounces

c)

16 ounces

d)

20 ounces

26.

How many cups are in a quart?

a)

1 cup

b)

2 cups

c)

3 cups

d)

4 cups

27.

How many feet are in a mile?

a)

1760 feet

b)

5280 feet

c)

1000 feet

d)

3000 feet

28.

How many inches are in a foot?

a)

10 inches

b)

12 inches

c)

14 inches

d)

16 inches

29.

What is the measure of the unknown angle in the triangle if the other two angles are 75 degrees and 63 degrees?

a)

42 degrees

b)

52 degrees

c)

62 degrees

d)

72 degrees

30.

What is the speed in feet per second if a car is traveling at 30 miles per hour?

a)

44 ft/sec

b)

30 ft/sec

c)

60 ft/sec

d)

5280 ft/sec

31.

Which transformation involves flipping a figure over a line?

a)

Reflection

b)

Translation

c)

Rotation

d)

Dilation

32.

What is the result of reflecting the point (x, y) over the y-axis?

a)

(-x, y)

b)

(x, -y)

c)

(y, x)

d)

(-y, -x)

33.

If a point (x, y) is translated 3 units right and 2 units down, what is the new position?

a)

(x+3, y-2)

b)

(x-3, y+2)

c)

(x+2, y-3)

d)

(x-2, y+3)

34.

What is the result of a 90-degree rotation of a point (x, y) around the origin?

a)

(-y, x)

b)

(y, -x)

c)

(-x, -y)

d)

(x, y)

35.

What is the result of a 180-degree rotation of a point (x, y) around the origin?

a)

(-y, x)

b)

(y, -x)

c)

(-x, -y)

d)

(x, y)

36.

What is the result of multiplying 3.64 by 2.3?

a)

6.372

b)

8.372

c)

8.364

d)

7.364

37.

What is the sum of 4.78 and 3.6?

a)

8.38

b)

7.38

c)

8.48

d)

7.48

38.

$x^4\cdot x^5=$

a)

$x^{36}$

b)

$x^{45}$

c)

$x^9$

d)

$x^{20}$

39.

What is the simplified form of $\frac{10x^5y^2z^4}{12x^3y^7z}$ ?

a)

$\frac{5x^2z^3}{6y^5}$

b)

$\frac{5x^3z^2}{6y^5}$

c)

$\frac{5x^2z^4}{6y^5}$

d)

$\frac{5x^2z^3}{6y^6}$

40.

What is the value of $3^{-2}$ ?

a)

$\frac{1}{9}$

b)

$\frac{1}{6}$

c)

$\frac{1}{3}$

d)

$\frac{1}{12}$

41.

What is the length of the hypotenuse of a right triangle with legs measuring 4 inches and 6 inches?

a)

7.21 inches

b)

8 inches

c)

10 inches

d)

5 inches

42.

What is the length of the missing leg in a right triangle with a hypotenuse of 9 inches and one leg measuring 5 inches?

a)

7.48 inches

b)

6 inches

c)

8 inches

d)

4 inches

43.

Which symbol represents "greater than"?

a)

>

b)

≥

c)

<

d)

≤

44.

Which inequality symbol means "less than or equal to"?

a)

≤

b)

<

c)

>

d)

≥

45.

What is the solution to the inequality $3x+7\ge22$ ?

a)

$x\ge5$

b)

$x\ \le5\le$

c)

x > 5

d)

x < 5

46.

What is the solution to the inequality -4x + 3 > 11?

a)

x < -2

b)

x> -2

c)

$x\le2$

d)

$x\ge2$

47.

What is the estimated product of 9.89 and 48.92?

a)

500

b)

400

c)

600

d)

700

48.

How is the number 1,500,000 written in scientific notation?

a)

1.5 x 10^6

b)

1.5 x 10^5

c)

15 x 10^6

d)

1.5 x 10^7

49.

How is the number 0.0372 written in scientific notation?

a)

3.72x10^-2

b)

372x10^-4

c)

3.72x10^-3

d)

372x10^4

50.

Which of the following equations represents a pair of parallel lines?

a)

y = 3x + 2 and y = 3x + 8

b)

y = 2/3x + 7 and y = -3/2x + 5

c)

y = 3x + 2 and y = -3x + 8

d)

y = 2x + 3 and y = 3x + 2

51.

What is the relationship between the slopes of perpendicular lines?

a)

Slopes are negative reciprocals

b)

Slopes are equal

c)

Slopes are positive reciprocals

d)

Slopes are zero

52.

What is the value of x in the equation Log₂8 = x?

a)

3

b)

2

c)

4

d)

5

53.

What is the value of x in the equation Logₓ100 = 2?

a)

10

b)

100

c)

5

d)

20

54.

What is the simplified form of √300?

a)

10√3

b)

15√2

c)

5√6

d)

20√3

55.

How can √75 be simplified?

a)

5√3

b)

3√5

c)

15√5

d)

25√3

56.

What is the simplified form of √80?

a)

4√5

b)

3√10

c)

6√2

d)

5√6

57.

What is the simplified form of $\sqrt[]{x^{10}}$ ?

a)

$x^5$

b)

$x^4$

c)

$x^6$

d)

$x^3$

58.

How can ³√108 be simplified?

a)

3³√4

b)

3³√3

c)

3³√5

d)

3³√6

59.

Which quadrilateral has only one pair of parallel sides?

a)

Parallelogram

b)

Rectangle

c)

Trapezoid

d)

Square

60.

What is the interquartile range of the given data set: 11, 13, 17, 18, 20, 22, 22, 24?

a)

5

b)

6

c)

7

d)

8

61.

Which quadrilateral has four congruent sides and four right angles?

a)

Rectangle

b)

Rhombus

c)

Trapezoid

d)

Square

62.

Which quadrilateral has two pairs of parallel sides and four right angles?

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Trapezoid

63.

Which quadrilateral has four congruent sides and two pairs of parallel sides?

a)

Square

b)

Rectangle

c)

Rhombus

d)

Trapezoid

64.

How many lines of symmetry does a rectangle have?

a)

1

b)

2

c)

3

d)

4

65.

What is the degree of rotational symmetry for a square?

a)

45°

b)

60°

c)

90°

d)

120°

66.

How many sides does a hexagon have?

a)

5

b)

6

c)

7

d)

8

67.

How many sides does a decagon have?

a)

8

b)

9

c)

10

d)

11

68.

What is the expanded form of the expression (2x + 3)(4x + 5)?

a)

$8x^2 + 22x + 15$

b)

$8x^2 + 20x + 15$

c)

$8x^2 + 23x + 15$

d)

$8x^2 + 21x + 15$

69.

What is the least common multiple (LCM) of 6 and 9?

a)

18

b)

12

c)

24

d)

36

70.

What is the greatest common factor (GCF) of 6 and 9?

a)

3

b)

6

c)

9

d)

1

71.

What is the asymptote of the function $y = \frac{1}{x+2}$ ?

a)

x = -2

b)

x = 2

c)

y = -2

d)

y = 2

72.

Convert the repeating decimal $0.\overline{23}$ into a fraction.

a)

$\frac{23}{99}$

b)

$\frac{23}{100}$

c)

$\frac{23}{90}$

d)

$\frac{23}{9}$

73.

What is the area of a triangle with a base of 10 inches and a height of 7 inches?

a)

35 in²

b)

70 in²

c)

17.5 in²

d)

50 in²

74.

What is the area of a rectangle with a length of 9 inches and a width of 4 inches?

a)

36 in²

b)

45 in²

c)

30 in²

d)

40 in²

75.

What is the area of a parallelogram with a base of 10 inches and a height of 6 inches?

a)

60 in²

b)

30 in²

c)

50 in²

d)

40 in²

76.

What is the area of a trapezoid with bases of 10 inches and 6 inches, and a height of 5 inches?

a)

40 in²

b)

30 in²

c)

50 in²

d)

45 in²

77.

What is the value of $x$ in the proportion $\frac{3}{4} = \frac{x}{20}$ ?

a)

15

b)

12

c)

18

d)

20

78.

What is the union of sets A = {3, 7, 12, 18} and B = {5, 7, 14, 18}?

a)

{3, 5, 7, 12, 14, 18}

b)

{7, 18}

c)

{3, 7, 12, 18}

d)

{5, 7, 14, 18}

79.

Which of the following is a criterion for triangle congruence?

a)

Side-Angle-Side (SAS)

b)

Angle-Angle-Angle (AAA)

c)

Side-Side-Angle (SSA)

80.

What is the conversion of 37 centimeters to hectometers?

a)

0.0037 hm

b)

0.037 hm

c)

0.37 hm

d)

3.7 hm

81.

How many meters are there in 42 kilometers?

a)

420 m

b)

4200 m

c)

42000 m

d)

420000 m

82.

What does the acronym SOH in trigonometry stand for?

a)

Sine = Opposite / Hypotenuse

b)

Sine = Hypotenuse / Opposite

c)

Sine = Adjacent / Hypotenuse

d)

Sine = Opposite / Adjacent

83.

In the triangle with sides 3, 4, and 5, what is the cosine of angle A where angle A is adjacent to side 3 and opposite side 4?

a)

3/4

b)

4/5

c)

3/5

d)

5/4

84.

What is the tangent of angle C in a triangle with opposite side 3 and adjacent side 4?

a)

3/4

b)

4/3

c)

3/5

d)

5/3

85.

What is the result of $16^{(3/4)}$ ?

a)

4

b)

8

c)

16

d)

32

86.

What is the multiplicative inverse of 2/3?

a)

3/2

b)

1/2

c)

2/5

d)

3/5

87.

What is the additive inverse of 5?

a)

0

b)

1

c)

-5

d)

5

88.

What is the result of $27^{(5/3)}$ ?

a)

81

b)

243

c)

729

d)

27

89.

Solve for x in the equation $2x^2 + 1 = 73$ .

a)

$\pm6$

b)

6

c)

$\pm7$

d)

7

90.

What is the solution to the equation $x^2-5x+6=0$ ?

a)

x = -6 or x = 1

b)

x = 2 or x = 3

c)

x = 1 or x = 6

d)

x = -1 or x = 6

91.

What is the midpoint of the points (2, 7) and (8, 9)?

a)

(5, 8)

b)

(4, 6)

c)

(6, 7)

d)

(3, 5)

92.

What is the distance between the points (2, 7) and (8, 9)?

a)

5.00

b)

6.32

c)

7.21

d)

8.54

End of Year Review

Total questions: 92

Worksheet time: 5hrs 36mins

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