Free Printable 8th Math

1.

Which correctly shows how to find the volume of a cylinder.

a)

$V=\pi r^2h$

b)

$V=lwh$

c)

$V=\pi h$

d)

$a^2+b^2=c^2$

2.

Graph this line:

$y=-\frac{2}{3}x+1$

3.

Rotation Rules (clockwise):

270^o rotation: (x, y)→(-y, x)

What are the coordinates of B' after a 270° clockwise?

a)

(4, 4)

b)

(4, -4)

c)

(-3, 4)

d)

(-4, 4)

4.

What is the volume of this cylinder?

a)

2002.8 mm³

b)

20428.2 mm³

c)

8011.1 mm³

d)

127.5 mm³

5.

Find the volume of the cone. (Round to the nearest integer.)

a)

1810 in³

b)

151 in³

c)

452 in³

d)

276 in

6.

Which translation will move the blue shape to the green shape?

(a)

Choose from the below words

3 Left3 Down

3 Right

3 Up

2 Right

3 Up

2 Left

3 Down

7.

To translate the blue shape to the pink shape, which of the following do we need to do?

a)

5 Right

2 Down

b)

5 Left

2 Up

c)

3 Right

1 Down

d)

3 Left

1 Up

8.

What is the formula for Volume of a Cone? (a)

Choose from the below words

V=π r³h

V=π r²h

V=(1/3)π r2h

V=(4/3)π r³

9.

Point M (-3, 5) is translated using this rule.

(x, y) ----> (x - 1, y)

What are the coordinates of M'?

a)

(-4, 5)

b)

(-2, 5)

c)

(-4, 4)

d)

(-3, 4)

10.

What is the algebraic equation for this table?

a)

y = x + 3

b)

y = 3x

c)

y = x ÷ 3

d)

y = x - 3

11.

Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.

Rule: (x, y) ---- ( -x, -y)

a)

(-4, -3)

b)

(-4, 3)

c)

(4, -3)

d)

(3, 4)

12.

Rotate the point (-5,8) around the origin 90 degrees clockwise. State the image of the point.

Rule: (x, y) ----- (y, -x)

a)

(-8,5)

b)

(8,-5)

c)

(8,5)

d)

(5,-8)

13.

V = ?

a)

14.13 in³

b)

56.52 in³

c)

169.56 in³

14.

Rotate the point (7,8) around the origin 90 degrees counter clockwise. State the image of the point.

Rule: (x, y) ---- ( -y, x)

a)

(-7,-8)

b)

(8,-7)

c)

(-8,7)

d)

(8,7)

15.

Graph this line:

$y=\frac{1}{2\ }x-3$

16.

What is the slope?

a)

5

b)

1/5

c)

15

d)

10

17.

What is the slope?

a)

2

b)

1/2

c)

1

d)

1.5

18.

Which equation best represents the relationship between x and y on the graph?

a)

y = -3x + 1/3

b)

y = 1/3x + 3

c)

y = 3x - 9

19.

Which expression may be used to find the volume of the cylinder?

a)

$8.2\pi\left(2.8\right)^2$

b)

$2.8\pi\left(8.2\right)^2$

c)

$16.4\pi\left(2.8\right)$

d)

$5.6\pi\left(8.2\right)^2$

20.

Which of the graphs represent y = 2x - 4?

a)

b)

c)

d)

21.

Determine the slope and y-intercept. y = 3/2x + 3

a)

slope: 5 y-intercept: (0,3)

b)

slope: 3/2 y-intercept: (0,3)

c)

slope: 4 y-intercept: (0,3/2)

d)

slope: 1/5 y-intercept: (0,5)

22.

Write the equation of the line.

a)

y=(3/5)x+1

b)

y=(3/5)x-1

c)

y=(5/3)x+1

d)

y=(3/5)x+1

23.

Gil has $200 saved for snacks. He will spend $5 on snack per week until he runs out.

a)

$y\ =\ 200-5x\$

b)

$y\ =\ 5x\ +\ 200$

c)

$y\ =\ -200x\ +\ 5$

24.

Write an equation for the table shown.

a)

$y\ =\ \frac{1}{2}x\ +\ 4$

b)

$y\ =\ \frac{1}{2}x\ -\ 2$

c)

$y\ =\ \frac{2}{1}x\ -\ 2$

d)

$y\ =\ \frac{1}{2}x\ -\ 3$

25.

Find the Volume if the height is 10 cm and radius 3 cm?

a)

250

b)

200

c)

283

d)

180

26.

What is this formula used to find?
V=πr²h

a)

The volume of a cylinder

b)

The volume of a cone

c)

The volume of a sphere

d)

The area of a circle

27.

A cone has a height of 4 in and a radius of 6 in. What is the volume of the cone?

a)

8π in³

b)

24π in³

c)

48π in³

d)

144π in³

28.

V = ?

a)

150.72 mm³

b)

904.32 mm³

c)

2,712.96 mm³

29.

Which rule would result in a translation of 2 units left and 3 units up?

a)

(x, y) → (2x, 3y)

b)

(x, y) → (x - 2, y + 3)

c)

(x, y) → (-x, -y)

d)

(x, y) → (x + 2, y - 3)

30.

Identify the transformation.

a)

Reflection across y-axis

b)

90 Rotation counter clockwise

c)

Translation 5 units left, 1 unit up.

d)

Translation 5 units right, 1 unit down

31.

Find the missing side length.

a)

2

b)

4

c)

3

d)

6

32.

Find the missing side length.

a)

9

b)

8

c)

6

d)

12

33.

Find the missing side.

a)

18

b)

16

c)

17

d)

19

34.

Find the missing side.

a)

11

b)

12

c)

13

d)

14

35.

What is the first step in this equation?

3x + 5 = 20

a)

Add 5 and 20

b)

Subtract 5 from both sides of the equation

c)

Add 3 and 5

d)

Multiply 3 by 5

36.

10 = 2d - 5

What is the value of d?

a)

2.5

b)

7.5

c)

15

d)

20

37.

What is the constant of proportionality (in miles per hour) based on the table?

a)

45

b)

90

c)

135

d)

2

38.

Which equation matches the graph?

a)

y = 8x

b)

y = 1x

c)

y = 3x

d)

y = 16x

39.

Why does this graph show a non-proportional relationship?

a)

Because it is proportional

b)

It goes through the origin

c)

It does not go through the origin

d)

It is a straight line

40.

Match the following

a)

0

1.

Whole number

b)

-6.8

2.

Rational number

c)

14

3.

Natural / Counting number

d)

-7

4.

Integer

41.

Match the following

a)

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

1.

Volume of a Sphere

b)

$V=\pi r^2h$

2.

Volume of a Cylinder

c)

$V=\frac{1}{3}\pi r^2h$

3.

Volume of a Cone

d)

$A=\frac{1}{2}bh$

4.

Area of a Triangle

e)

$A=bh$

5.

Area of a Rectangle

42.

The formula to find the volume of a sphere is (a) .

Choose from the below words

V=\frac{1}{3\ }\pi r^2h

V=\pi r^2h

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

43.

Find the volume of the given sphere. Use $\pi$ instead of 3.14.

a)

1,4679.8 cubic km

b)

995.6 cubic km

c)

1,000.9 cubic km

d)

1,150.3 cubic km

44.

Find the volume of the given sphere. Use $\pi$ instead of 3.14. The volume is (a) .

Choose from the below words

418.7 cubic ft

3,984.6 cubic ft

4,188.8 cubic ft

4,319.8 cubic ft

45.

What is the formula to find the volume of a cone?

a)

$V=\frac{1}{3\ }\pi r^2h$

b)

$V=\pi r^2h$

c)

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

46.

Find the volume of the cone. (Round to the nearest integer.) Use $\pi$ instead of 3.14.

a)

1810 in³

b)

151 in³

c)

452 in³

d)

276 in

47.

Find the volume of the cone. Use 3.14 for $\pi$

a)

400

b)

1200

c)

3600

d)

324

48.

A cone has the radius of 7.5 cm and the height of 5 cm. What is the volume of the cone? Round your answer to the nearest hundredth .
V = ⅓ Bh OR V = ⅓ ⋅ π ⋅ r²⋅ h

a)

39.25 cm³³

b)

294.38 cm³

c)

883.13 cm³

d)

117.75 cm³

49.

What is the formula to find the volume of a cylinder?

a)

$V=\frac{1}{3\ }\pi r^2h$

b)

$V=\pi r^2h$

c)

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

50.

Find the volume of the cylinder.

a)

4239

b)

1696

c)

1130

d)

565

51.

Find the volume of the cylinder.

a)

282.6

b)

516.2

c)

133

d)

214

52.

Given a cylinder with the height of 10cm and the base radius of 9cm. Find the volume of this cylinder to the nearest tenth.

a)

810 cm³

b)

2543.4 cm³

c)

847.8 cm³

d)

2826 cm³

53.

Simplify the expression

5y\ +\ 2y+2

a)

9y

b)

5y + 4

c)

9

d)

7y + 2

54.

Find the length of the missing side. (Calculators are allowed)

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

55.

$12p+3+2p$

a)

17p

b)

10p + 3

c)

14p + 3

d)

13p

56.

Find the missing side. (Calculators are allowed)

a)

9

b)

41

c)

6.4

d)

3

57.

5a - 6b + 4a + 3b

a)

9a - 3b

b)

a + b

c)

6ab

d)

-b + a

58.

Find the length of the missing side. (Calculators are allowed)

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

59.

$7x\ +\ 8y-3x-12y$

a)

$10x-4y$

b)

$4x-4y$

c)

$4x+4y$

d)

$10x+4y$

60.

Identify the transformation from ABC to A'B'C'.

a)

(x+8, y+4)

b)

(x-8, y-4)

c)

(x+4, y+8)

d)

(x-4, y-8)

61.

Write a rule for the translation.

a)

(x -1, y + 2)

b)

(x -2, y + 1)

c)

(x +2, y - 1)

d)

(x +1, y - 2)

62.

Translate the point A (-3, 4) right 5 and up 1

a)

(-2, 9)

b)

(-8, 5)

c)

(8, 3)

d)

(2, 5)

63.

Identify the transformation from ABC to A'B'C'.

a)

(x+8, y+4)

b)

(x-8, y-4)

c)

(x+4, y+8)

d)

(x-4, y-8)

64.

When you translate, (x-4,y) will move _____.

a)

4 units right

b)

4 units left

c)

4 units up

d)

4 units down

65.

When you translate, (x,y+6) will move _____.

a)

6 units right

b)

6 units left

c)

6 units up

d)

6 units down

66.

Calculate the value of 3 - 2a + 3a + 5a. The result is (a) .

Choose from the below words

5a+3

5a-3

6a + 3

8a+3

67.

Simplify the expression: 7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

68.

7d + 5 + 6d - 2 equals to (a)

Choose from the below words

16d

16

13d + 3

13d - 7

69.

Simplify...
5a + 2b + 6a + 4b

a)

11a + 6b

b)

2a + 2b

c)

a + 2b

d)

-a - 2b

70.

$y=-\frac{1}{3}x+2$

71.

$y=4x-4$

72.

What are the three key words for slope (or rate) when reading a stated problem? (a) (b) (c)

Choose from the below words

per

each

every

and

sum

difference

also

in addition to

starting with

a monthly fee

73.

In $y=mx+b$ the m is (a) and the b is the (b)

Choose from the below words

slope

y-intercept

base

volume

translation

x-intercept

zero

metabolic rate

baritone

8th Math - Week 22

Total questions: 73

Worksheet time: 2hrs 26mins

Similar Resources on Wayground