Free Printable End of the year Review Grade 8 2026

1.

2³

a)

6

b)

8

c)

9

d)

12

2.

√81

a)

9

b)

8

c)

7

d)

10

3.

Which of these areas is a perfect square?

a)

12

b)

90

c)

40

d)

64

4.

Square roots are the opposite of ____________.

a)

Cube Roots

b)

Squaring

c)

Multiplication

d)

Absolute Value

5.

If I know the area of a square, how do I find the side length?

a)

I square the area.

b)

I divide the area by 2.

c)

I take the square root of the area.

d)

I divide the area by 4.

6.

5²- (3²+ 4²)

a)

6

b)

10

c)

2

d)

0

7.

(4^{2 -}6) - (2 X 5)

a)

6

b)

4

c)

3

d)

0

8.

Ron lost 10 points seven times playing a video game. He then lost an additional 100 points for going over the time limit. What was the total change in his score?

a)

gained 170

b)

lost 170

c)

gained 30

d)

lost 30

9.

$8\ –\ 4(2+5^2)\ ÷\ 12$

a)

1

b)

-8

c)

4

d)

-1

10.

$-4(1+5)^2\ ÷\ 6\ –\ (42+5)$

a)

-23

b)

-71

c)

49

d)

-49

11.

$-12^2\ ÷\ 4\ –\ 3\ ×\ 2^4$

a)

-30

b)

-12

c)

-18

d)

-84

12.

$e=5\ and\ f=3\$
Find the value of: $ef-f$

a)

12

b)

50

c)

10

d)

48

13.

Evaluate 2a + 4b
if a = 10 and b = 6

a)

20

b)

24

c)

44

d)

4

14.

Find an equivalent expression to
4(2x + 10y)

a)

8(x + 10y)

b)

8(x + 5y)

c)

8x + 10y

d)

8x + 14y

15.

Evaluate when a = 10:

2(a - 5) + 2

a)

12

b)

24

c)

17

d)

7

16.

a)

1

b)

3

c)

9

d)

8

17.

a)

5 41/42

b)

5 1/3

c)

6 41/42

d)

5 1/8

18.

a)

14/16

b)

7/8

c)

8/7

d)

4/10

19.

a)

11 3/4

b)

11 3/8

c)

12 3/4

d)

12 3/8

20.

Subtract and simplify
2/4 - 3/8

a)

1/8

b)

5/4

c)

4/32

d)

1/2

21.

Solve the following fraction

5/12 - 1/5

a)

20/60

b)

4/7

c)

37/60

d)

13/60

22.

Solve the following fraction

³⁄₄÷ 4¹⁄₂ =

a)

²⁷⁄₈

b)

³⁶⁄₆

c)

¹⁄₆

d)

6

23.

Solve the following fraction

³⁄₅× ²⁄₅=

a)

⁵⁄₁₀

b)

⁶⁄₅

c)

⁶⁄₂₅

d)

¹⁄₅

24.

Which are pairs of vertical angles?

a)

∠COB and ∠COA

b)

∠AOD and ∠AOC

c)

∠COB and ∠AOD

d)

∠BOD and ∠AOD

25.

Find the value of x.

a)

x = 118

b)

x = 108

c)

x = 28

d)

x = 58

26.

Which angles are vertical angles?

a)

$\angle8\ \ and\ \angle7$

b)

$\angle8\ and\ \angle6$

c)

$\angle8\ and\ \angle5$

27.

What is the relationship of these two angles?

a)

Complementary angles

b)

Supplementary angles

c)

Linear Pair

d)

Vertical angles

28.

Find the missing angle.

a)

60°

b)

70°

c)

50°

d)

140

29.

If the $m\angle7\ =\ 115\degree,$ find the measure of $\angle2.$

a)

$115\degree$

b)

$65\degree$

c)

$180\degree$

d)

Cannot be determined

30.

If the $m\angle5\ =\ 63\degree,$ find the measure of $\angle3.$

a)

$63\degree$

b)

$117\degree$

c)

$180\degree$

d)

Cannot be determined

31.

In a triangle, how many total degrees are there?

a)

100%

b)

180 degrees

c)

it varies

d)

360 degrees

32.

Find the measure of the indicated angle.

a)

95

b)

85

c)

35

d)

45

33.

Solve for x.

a)

-12

b)

-8

c)

-10

d)

-5

34.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

35.

a)

100°

b)

80°

c)

90°

d)

180°

36.

Find the value of x

a)

87°

b)

54°

c)

101°

d)

92°

37.

a)

12

b)

30

c)

45

d)

27

38.

12% out of what number is 13?

a)

12.4

b)

26.8

c)

92.3

d)

108.3

39.

Elijah earn $200 for 8 hours of work. What is the unit rate (in dollars per hour)?

a)

$50 per hour

b)

$12 per hour

c)

$192 per hour

d)

$25 per hour

40.

Sargento cheese slices $2.48 for 10 slices
or
Velveeta Cheese slices $3.18 for 12 slices
Find the unit price for each and choose the better deal.

a)

Sargento

b)

Velveeta

41.

There are 75 pieces of candy in a 15 oz bag.
Using the same proportion, how many pieces of candy will there be in a 5 oz. bag?

a)

80 pieces

b)

60 pieces

c)

20 pieces

d)

25 pieces

42.

Movie ticket sales are as follows:
Adult: 20 tickets for $250
Child: 15 tickets for $71.25
Senior: 5 tickets for $37.50
How much does one (1) ADULT ticket cost?

a)

$0.08

b)

$25

c)

$12

d)

$12.50

43.

190 people fit in 3 buses.
How many buses would you need to carry 570 people?

a)

570 buses

b)

9 buses

c)

about 63 buses

d)

about 6 buses

44.

Melissa drives 238 miles in 5 hours. What is her average rate of speed?

a)

40 MPH

b)

46 MPH

c)

48 MPH

d)

50 MPH

45.

Are the ratios proportional?
3/4 and 24/32

a)

yes

b)

no

46.

Do these two fractions form a proportion?

\frac{16}{9}\ \frac{28}{15}

a)

Yes

b)

No

47.

If there are 12 pencils per pack. How many packs would we need to buy for 108 pencils?

a)

10 packs

b)

4 packs

c)

8 packs

d)

9 packs

48.

The ratio of lemon juice to water in Ella's Delicious Lemonade is 3 cups : 5 cups. Audrey wants to make a triple batch. What ratio of lemon juice and water should she use AND how many cups of lemonade will it make?

a)

9 cups juice : 15 cups water makes 24 cups of lemonade

b)

6 cups juice : 10 cups water makes 16 cups of lemonade

c)

9 cups juice : 15 cups water makes 8 cups of lemonade

d)

9 cups juice : 5 cups water makes 24 cups of lemonade

49.

Solve for A in the table.

a)

A= 40

b)

A= 10

c)

A= 9

d)

A= 45

50.

What is 90% of 250?

a)

245

b)

225

c)

255

d)

244.33

51.

26 is 5% of what number?

a)

1.3

b)

2.5

c)

25.95

d)

520

52.

What is 25% of 80?

a)

15

b)

30

c)

20

d)

40

53.

What is the total cost with sales tax?
Price $17.95
Tax 6%

a)

$19.03

b)

$18.50

c)

$1.08

d)

$2.15

54.

Mr. Barrett bought a new battery for his car. The battery cost $72. Since batteries are a taxable item, he had to pay a sales tax of 7.5%. What was the total cost of the battery in dollars and cents?

a)

$79.50

b)

$5.40

c)

$77.40

d)

$66.60

55.

John needs a computer for his summer class. The computer costs $385 but since he is still in school, he gets a 30% discount. What is the total amount he will spend on this computer?

a)

$500.50

b)

$269.50

c)

$115.50

d)

$30.50

56.

You want to buy a television that is originally $1,450 on sale for 15% off. The store is going out of business and will be marking down the TV another 30% off of the sales price. How much will the television cost?(Hint: What does down mean?)

a)

1232.50

b)

$862.75

c)

$1015

d)

$916.79

57.

How much tax would you pay on a new TV that is $899 at Best Buy, if the tax rate is 6.5%?

a)

$957.44

b)

$841

c)

$58.44

d)

$5,843.50

58.

Mrs. Adele is buying a new tie from Macy's. It says the tie costs $15.00 but there is a sign above it that says 25% off. How much will the tie cost before taxes?

a)

$3.75

b)

$18.75

c)

$15.25

d)

$11.25

59.

Paul has saved to buy a hamster and a cage. The hamster cost $5.50 and the cage is on sale for 25% off of the original price of $29.90. The sales tax on the total is 5%. How much will Paul pay in all?

a)

$29.32

b)

$7.48

c)

$27.92

d)

$22.42

60.

At Paint City, a gallon of paint with a regular price of $17.99 is 15% off. At Giant Hardware, the same paint usually cost $21.99, but is now 25% off. Which store is offering the better deal?

a)

Paint City

b)

Giant Hardware

c)

You would end up paying the same amount at either store.

61.

A store is having a going out of business sale for 55% off the ticketed prices. A pair of in-line skates has a ticketed price of $59.85, and a scooter has a ticketed price of $64.80. With a sales tax of 5%, how much will it cost to buy both items?

a)

$58.89

b)

$56.09

c)

$124.65

d)

$68.56

62.

Mrs. Brooks bought a microwave that was originally priced at $225. She received a 30% discount. What is the sale price of the microwave?

a)

$67.50

b)

$195

c)

$157.50

d)

$292.50

63.

Simplify this polynomial:

3x²- x + 2 - 5x²+ 8x - 5

a)

8x²+ 9x + 7

b)

-2x²+ 7x - 3

c)

2x²+ 7x - 3

d)

5x²- 3

64.

Find the sum.
(3 - 2x + 2x²) + (4x - 5 + 3x²)

a)

7x - 7x + 5x²

b)

5x²+ 2x - 2

c)

5x²

d)

5x² + 6x + 8

65.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

66.

(2x + 5y - z) + (-6x - 4y + 7z)

a)

-4x² +6y² + 6z²

b)

4x + y + 6z

c)

-4x² - y² + 6z²

d)

-4x + y + 6z

e)

None of these

67.

Find the perimeter of the shape

a)

-16x - 11

b)

11x - 16.5

c)

11x + 13

d)

16.5x - 13

68.

Find the perimeter of the shape

a)

9n - 2

b)

12n - 10

c)

5n + 6

d)

4n + 7

69.

Simplify this polynomial:

3x²- x + 2 - 5x²+ 8x - 5

a)

8x²+ 9x + 7

b)

-2x²+ 7x - 3

c)

2x²+ 7x - 3

d)

5x²- 3

70.

3(2x + z) when x=8 and z=2

a)

12

b)

30

c)

54

d)

60

71.

Which algebraic expression is represented below?

Sum of p and twice q.

a)

A) x + 2y

b)

B) p + 2q

c)

C) 2p + q

d)

D) 2(a + b)

72.

Which algebraic expression is represented below?

Twice the sum of m and n.

a)

2m + n

b)

2m + n

c)

2(x + y)

d)

2(m + n)

73.

Which algebraic expression is represented below?

A number, z less than 20.

a)

20 - z

b)

z - 20

c)

20z

d)

z/20

74.

Which algebraic expression is represented below?

4 times x less than the sum of y and 6.

a)

4x - (y - 6)

b)

4x - (y + 6)

c)

4x + (y + 6)

d)

4x(y + 6)

75.

Evaluate the expression using the values
m = 7, r = 8, and t = 2.
4m + t

a)

30

b)

28

c)

26

d)

14

76.

What are the coefficients in the expression?
-4x + 6y - 2

a)

-4x, 6y, -2

b)

x, y

c)

4x, 6y

d)

-4, 6

77.

2x + 3 + x²; for x = 4

a)

17

b)

27

c)

19

d)

25

78.

What is the first step in solving this equation:
5x + 7 = 12

a)

Divide by 5

b)

Subtract 5

c)

Multiply by 7

d)

Subtract 7

79.

Solve for x:
8x - 10 = -34

a)

4

b)

3

c)

-3

d)

-24

80.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

81.

$-4x+5\left(5x+5\right)=38+8x$

(a)

82.

7w + 3 = 5w + 9

a)

w = 25

b)

w = 3

c)

w = 14

d)

w = 10

83.

6(6v +6) - 5 = 1 + 6v

a)

1

b)

-1

c)

6

d)

-3

84.

What is the simplified version of this expression: $4\left(x-2\right)+3\left(2x+5\right)$ ?

a)

$4x-8+6x+15$

b)

$4x+6x+5$

c)

$10x+7$

d)

$8x+10$

85.

Solve for v.

a)

60

b)

-3

c)

15

d)

3

86.

Solve.

a)

-1

b)

All real numbers

c)

No solution

d)

0

87.

Solve.

a)

4

b)

All real numbers

c)

No solution

d)

0

88.

Solve.

a)

2

b)

All real numbers

c)

No solution

d)

0

89.

Solve.

a)

6

b)

No solution

c)

All real numbers

d)

0

90.

a)

x= 6

b)

x= -6

c)

x= -8

d)

x= 8

91.

a)

x= -5

b)

x= 5

c)

x= -4

d)

x= 4

92.

a)

x= 2

b)

x= -2

c)

x= 3

d)

x= -3

93.

a)

x= 9

b)

x= -9

c)

x= 11

d)

x= -11

94.

Taelyn took 4 times as much time as Aadrielle to solve a puzzle. She took 15 minutes. Write an equation for the problem and solve it to find how much time Aadrielle took to solve the puzzle.

a)

45

b)

60

c)

15

d)

20

95.

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

a)

7x + 35 = 63

b)

7x = 63

c)

7x - 35 = 63

d)

35x + 7 = 63

96.

Bob has $150 in his savings account and saves $40 per month. Which equation represents the amount Bob has in his account after x months?

a)

y = 150 + 40

b)

y = 40x + 150

c)

y = 150x + 40

97.

Sandra has a $20 itunes gift card and spends $3 each month. Which equation can be used to find how much money Sandra has on her giftcard after x months?

a)

y = 3x + 20

b)

y = 3 + 20x

c)

y = -3x + 20

d)

y = -20x + 3

98.

Andrea earns a flat fee of $20 per day plus an additional x dollars for each sale she makes. Andrea made 10 sales last Saturday and earned a total of $80. How much does Andrea earn for each sale she makes?

a)

$6

b)

$8

c)

$10

d)

$12

99.

A taxi charges $3, plus $1.50 for each mile traveled. Mr. Lewis rode in the taxi from his home to the airport and was charged $30. How many miles does Mr. Lewis live from the airport?

a)

18 miles

b)

20 miles

c)

22 miles

100.

The Buffalo Bills scored 24 more than twice the number of points that the Miami Dolphins scored. Altogether, the teams scored 66 points. How many did each team score individually?

a)

Bills: 52, Dolphins: 14

b)

Bills: 54, Dolphins 12

101.

The larger of two numbers is 12 more than the smaller number. If the sum of the two numbers is 74, find the two numbers.

a)

31,43

b)

31,41

102.

The sum of three consecutive integers is 84.

What is the smallest integer?

a)

26

b)

27

c)

29

d)

30

103.

$-118=-5\left(4+7x\right)+7$

a)

$-5$

b)

$-9$

c)

$3$

d)

$-1$

104.

$96=6\left(k+8\right)$

a)

$12$

b)

$8$

c)

$-4$

d)

$9$

105.

$2x-16=2\left(1+4x\right)$

a)

$7$

b)

$-16$

c)

$-2$

d)

$-3$

106.

a)

x = 24

b)

x = 12

c)

x = 17.5

d)

x = 19.5

107.

$-3x-6x=6+x-7x$

a)

$-3$

b)

$12$

c)

$11$

d)

$-2$

108.

Solve

4m-5\left(3m+10\right)=126

a)

-16

b)

16

c)

15

d)

-15

109.

Solve

20=10x-6\left(2x+5\right)

a)

15

b)

-15

c)

12

d)

-25

110.

Solve

3\left(6p-1\right)=11p-45

a)

-5

b)

5

c)

6

d)

-6

111.

Solve

2\left(4w-1\right)=-10\left(w-3\right)+4

a)

2

b)

-2

c)

0

d)

-1

112.

Solve

9\left(m-3\right)+3m=7m+43

a)

12

b)

14

c)

-12

d)

-14

113.

Solve

5-\left(x-18\right)=6-2\left(x+15\right)

a)

1

b)

8

c)

-7

d)

7

114.

$4-2(x-3)=24$

a)

- 7

b)

7

c)

14

d)

- 14

115.

Solve for x:

4(1 - x) + 3x = -2(x + 1)

a)

x = -6

b)

x = 6

c)

x = 3

116.

Solve for x in the rectangle:

a)

x = -1

b)

x = -5

c)

x = 5

d)

x = 1

117.

Find x if the perimeter of the rectangle is 26.

a)

n = 2

b)

n = 3.2

c)

n = 200

d)

n = 4

118.

$2\left(4x-3\right)-8=4+2x$

a)

x = -2

b)

x = 3

c)

x = 0

d)

x = 5/3

119.

$4x-7-6x=5-4x+4$

a)

$x=-4$

b)

$x=-1$

c)

$x=3$

d)

$x=8$

120.

What is the area of this figure?

a)

48

b)

24

c)

60

d)

30

121.

Find the PERIMETER of the compound figure.

a)

31 m

b)

40 m

c)

46 m

d)

50 m

122.

This polygon has the pictured measurements. What is the perimeter of the polygon?

a)

15 cm

b)

30 cm

c)

26 cm

d)

35 cm

123.

What is the area of the composite figure?

a)

40 sq cm

b)

65 sq cm

c)

52.5 sq cm

d)

25 sq cm

124.

What is the diameter of this circle?

a)

3.5

b)

6.5

c)

6

d)

7

125.

What is the radius of this circle?

a)

18

b)

36

c)

9

d)

6

126.

what is the area of this semicircle ?
d = 8 cm

a)

100.48 cm²

b)

80 cm²

c)

200.96 cm²

d)

25.12 cm²

127.

Find the arc length. Leave your answer in terms of π.

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

128.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.

a)

9.2 sq. in.

b)

10.5 sq. in.

c)

31.4 sq. in.

d)

38.2 sq. in.

129.

Find the area of each sector.

a)

52.4 in²

b)

18,864 in²

c)

60 in2

d)

10.47 in

130.

FIND THE ARC LENGTH OF THE BOLDED ARC

a)

A

b)

B

c)

C

d)

D

131.

Find the area of each sector.

a)

4248 m²

b)

7.9 m²

c)

2827.4 m²

d)

11.8 m²

132.

Calculate the length of the bold arc.

a)

5040 cm

b)

43 cm

c)

44 cm

d)

14 cm

133.

When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees. What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.

a)

40

b)

35

c)

55

d)

69

134.

Stephanie was jogging around circular track. One part of the track was darker than the rest. She found the angle to be 270 degrees. She found the diameter was thirty feet. What is the arc length around the darker part of the track she jogged on? (rounded to the nearest whole number)

a)

71 feet

b)

141 feet

c)

84 feet

d)

63 feet

135.

A 14 -inch pizza was cut into 8 slices. What is the approximate area of one slice of pizza?

a)

9.23 sq. in

b)

19.23 sq. in

c)

19.32 sq. in

d)

20.23 sq. in

136.

Analyze the given figure and solve for the exact area of the

of the annulus.

a)

69π sq. in

b)

36π sq. in

c)

33π sq. in

d)

63π sq. in

137.

Find the area of the sector. Round your answer to the nearest tenth.

a)

3.9 m²

b)

7.9 m²

c)

9.6 m²

d)

11.8 m²

138.

Find the arc length of the sector. Round your answer to the nearest tenth.

a)

52.4 in

b)

10.5 in

c)

5.2 in

d)

9.8 in

139.

What is the area of the shaded region? Round to the nearest hundredth.

a)

1.26

b)

452.39

c)

113.10

d)

40715.04

140.

Find the area of the shaded region.

a)

125.7 cm²

b)

40 cm²

c)

103.7 cm²

d)

33 cm²

141.

Find the area

a)

96 cm²

b)

48 cm²

c)

36 cm²

d)

48 cm

142.

Find the area of the following polygon.

a)

108 u²

b)

1782 u²

c)

445 in²

d)

891 in²

143.

A regular heptagon has sides measuring 26 mm and is divided into 7 congruent triangles. Each triangle has a height of 20 mm. What is the area of the heptagon?

a)

74.28 mm²

b)

1,274 mm²

c)

3,640 mm²

d)

1,820 mm²

144.

Find the area of the following polygon.

a)

15 in²

b)

240 in²

c)

120 in²

d)

20 in²

145.

Find the area:

a)

84 m²

b)

168 m²

c)

112 m²

d)

56 m²

146.

Find the area

a)

8 ft²

b)

6 ft²

c)

4 ft²

d)

16 ft²

147.

Find the perimeter of a regular octagon given its area is 384 cm $^2$ and the apothem is 8 cm.

a)

64 cm

b)

48 cm

c)

96 cm

d)

32 cm

148.

Calculate the area of a regular decagon with a side length of 4 cm and an apothem of 6.18 cm.

a)

123.6 cm $^2$

b)

247.2 cm $^2$

c)

61.8 cm $^2$

d)

12.36 cm $^2$

149.

a)

93in²

b)

84in²

c)

76in²

d)

85in²

150.

a)

612in²

b)

558in²

c)

672in²

151.

a)

272in²

b)

389in²

c)

241in²

d)

240in²

152.

Find the surface area of this cube.

a)

18 sq cm

b)

36 sq cm

c)

54 sq cm

d)

60 sq cm

153.

What is surface area?

a)

The measure of the amount of space inside of a solid figure

b)

The sum of all the areas of all the shapes that cover the object

154.

What is the height of this figure?

a)

6 cm

b)

14 cm

c)

4 cm

d)

24 cm

155.

What is the total surface area of the cylinder to the nearest square inch?

a)

625 in²

b)

1300 in²

c)

1046 in²

d)

414 in²

156.

What is the surface area of the composite solid?

a)

216 m²

b)

248 m²

c)

256 m²

d)

224 m²

157.

Calculate the composite surface area of the figure, to the nearest square centimeter. Use 3.14.

a)

4,227 cm²

b)

4,542 cm²

c)

4,605 cm²

d)

5,262 cm²

158.

Determine the surface area of this birdhouse to the nearest square centimeter. The hole in the front has a diameter of 8cm

a)

3009 cm²

b)

3760 cm²

c)

3609 cm²

d)

3659 cm²

159.

What is the area of this composite shape?

a)

14 in²

b)

68 in²

c)

36 in²

d)

24 in²

160.

The arrow shown is on a sign. What is the area of the arrow?

a)

17 in2

b)

40 in2

c)

52 in2

d)

61 in2

161.

The diagram shows two small circles inside a large circle. The large circle has a radius of 8 cm.

Each of the two small circles has a diameter of 4 cm.

Work out the area of the region shown shaded in the diagram. Give your answer correct to one decimal place.

a)

$175.9cm^2$

b)

$150cm^2$

c)

$100cm^2$

162.

Work out the shaded area.

a)

$7cm^2$

b)

$33cm^2$

c)

$57cm^2$

163.

The rectangle has length 20cm and width 11cm.

The circle has diameter 8cm.

Work out the shaded area.

Give your answer correct to 2 decimal places.

a)

$169.73cm^2$

b)

$169.7cm^2$

c)

$169.73m^2$

164.

Shown is a circular photo surrounded by a frame.

The photo has radius 12cm.

The frame has width 4cm.

Work out area of the frame.

This area is shaded in the diagram.

a)

$351.86m^2$

b)

$351.86cm^2$

c)

$402.12cm^2$

165.

Area of this polygon?

a)

38 cm ²

b)

38 meters

c)

132 meters ²

d)

72 meters

End of the year Review Grade 8 2026

Total questions: 165

Worksheet time: 1hrs 23mins

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