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Worksheets

Page 1

Total questions: 40

Worksheet time: 20mins

Name
Class
Date
1.

If a bowling ball has a radius of 7 inches, what is its surface area?

a)

929.34 in²

b)

615.44 in²

c)

348.24 in²

d)

735.36 in²

2.

Which of the following is an example of an algebraic equation?

a)

2x + 5 = 11

b)

7 + 8

c)

3y - 4

d)

x + 10

3.

What is the surface area of a cube if one side measures 5 cm?

a)

125 cm²

b)

100 cm²

c)

150 cm²

d)

25 cm²

4.

Solve for n in the equation: n+9=20−5n + 9 = 20 - 5 .

a)

15

b)

6

c)

11

d)

9

5.

Which solid figure has a circular base and one vertex?

a)

Cylinder

b)

Cone

c)

Sphere

d)

Cube

6.

Translate "twice m added to thirty" into an algebraic expression.

a)

2m+302m + 30

b)

2(m+30)2(m + 30)

c)

m(2+30)m(2 + 30)

d)

30−2m30 - 2m

7.

A car travels 150 km in 3 hours. What is its average speed?

a)

450 km/h

b)

45 km/h

c)

50 km/h

d)

60 km/h

8.

Find the area of a composite figure made of a rectangle (5m x 4m) and a triangle with a base of 4m and a height of 3m.

a)

26 m²

b)

23 m²

c)

32 m²

d)

20 m²

9.

Which solid figure has a polygonal base and triangular faces?

a)

Pyramid

b)

Prism

c)

Cube

d)

Cylinder

10.

How many faces does a sphere have?

a)

0

b)

1

c)

2

d)

6

11.

What is the value of x in 3x=213x = 21 ?

a)

18

b)

63

c)

7

d)

24

12.

"Seven less than a number y" is translated as:

a)

7−y7 - y

b)

y−7y - 7

c)

7+y7 + y

d)

y/7y/7

13.

A __________ figure is two-dimensional while a __________ figure is three-dimensional.

a)

plane, solid

b)

solid, plane

c)

geometric, spatial

d)

spatial, solid

14.

Find the surface area of a cylinder with a radius of 2 m and a height of 5 m (Use π=3.14\pi = 3.14 ).

a)

87.92 m^2

b)

62.8 m^2

15.

The formula SA=4πr2SA = 4\pi r^2 is used to find the surface area of a:

a)

Circle

b)

Cylinder

c)

Sphere

d)

Cone

16.

What do you call a letter or symbol used to represent an unknown number?

a)

Variable

b)

Constant

c)

Term

d)

Equation

17.

Solve: 8 + 4 = 2 x _____

a)

12

b)

2

c)

6

d)

4

18.

A train travels at a speed of 80 km/h. How far will it travel in 2.5 hours?

a)

200 km

b)

160 km

c)

82.5 km

d)

32 km

19.

Which solid figure has two circular bases and a curved surface?

a)

Cylinder

b)

Cone

c)

Sphere

d)

Pyramid

20.

Find the area of a circle with a diameter of 10 cm.

a)

314 cm²

b)

78.5 cm²

c)

62.8 cm²

d)

15.7 cm²

21.

If x = 5, what is the value of 2x + 10?

a)

15

b)

25

c)

20

d)

17

22.

Which of these represents a real-life situation for d = s × t?

a)

Finding the cost of groceries

b)

Calculating the distance traveled by a bus

c)

Measuring the temperature

d)

Finding the area of a room

23.

A rectangular prism has a length of 6 cm, width of 4 cm, and height of 2 cm. Find its surface area.

a)

48 cm²

b)

88 cm²

c)

24 cm²

24.

A number w diminished by thirty-five divided by y is:

a)

(w−35)/y(w - 35)/y

b)

35−w/y35 - w/y

c)

w/(35−y)w/(35 - y)

d)

y/(w−35)y/(w - 35)

25.

How many vertices does a cube have?

a)

6

b)

12

c)

8

d)

4

26.

Solve for y: y/4=8y/4 = 8 .

a)

2

b)

12

c)

32

d)

4

27.

What is the formula for the surface area of a cone?

a)

πr2+πrs\pi r^2 + \pi rs

b)

2πr2+2πrh2\pi r^2 + 2\pi rh

c)

6s26s^2

d)

4πr24\pi r^2

28.

A rectangular garden is 10 m long and 8 m wide. What is its area?

a)

36 m²

b)

80 m²

c)

20 m²

d)

18 m²

29.

Which of the following is a constant in the expression 5x+95x + 9 ?

a)

x

b)

5

c)

9

d)

5x

30.

A runner finishes a 400-meter race in 50 seconds. What is the speed?

a)

8 m/s

b)

450 m/s

c)

20,000 m/s

d)

20 m/s

31.

The surface area of a square pyramid is the sum of the area of its base and:

a)

Its circular side

b)

The areas of its four triangular faces

c)

Its volume

d)

Its height

32.

Which of the following is a solid figure?

a)

Triangle

b)

Square

c)

Rectangle

d)

Cube

33.

If the surface area of a cube is 24 cm224\text{ cm}^2 , what is the area of one face?

a)

4 cm24\text{ cm}^2

b)

6 cm26\text{ cm}^2

c)

8 cm28\text{ cm}^2

d)

12 cm212\text{ cm}^2

34.

Find the value of m if 2m+5=152m + 5 = 15 .

a)

10

b)

5

c)

20

d)

2

35.

A composite figure consists of two identical squares with side 3 cm3\text{ cm} . What is the total area?

a)

9 cm29\text{ cm}^2

b)

12 cm212\text{ cm}^2

c)

18 cm218\text{ cm}^2

d)

6 cm26\text{ cm}^2

36.

Speed is defined as:

a)

Distance × Time

b)

Distance / Time

c)

Time / Distance

d)

Force × Distance

37.

How many edges does a triangular pyramid have?

a)

4

b)

5

c)

6

d)

8

38.

The distance between two cities is 120 km. If a car drives at 60 km/h, how long will the trip take?

a)

2 hours

b)

3 hours

c)

180 hours

d)

0.5 hours

39.

What unit of measure is used for surface area?

a)

Cubic units

b)

Linear units

c)

Square units

d)

Degrees

40.

Derive the formula for the surface area of a sphere from a cylinder that encloses it.

a)

SA=2πrh\text{SA} = 2\pi r h

b)

SA=4πr2\text{SA} = 4\pi r^2

c)

SA=πr2\text{SA} = \pi r^2

d)

SA=13πr2h\text{SA} = \frac{1}{3}\pi r^2 h