Free Printable Math

1.

Convert π radians to degrees.

a)

90⁰

b)

180⁰

c)

360⁰

d)

60⁰

2.

Convert $\frac{π}{3}$ from radians to degrees

(type number only)

(a)

3.

Convert $\frac{π}{4}$ from radians to degrees

a)

90⁰

b)

45⁰

c)

60⁰

d)

30⁰

4.

To convert from degrees to RADIANS

a)

multiply by

\frac{π}{180°}

b)

multiply by
$\frac{180°}{π}$

c)

multiply by
$\frac{π}{\sqrt{2}}$

d)

multiply by
$\frac{π}{\sqrt{3}}$

5.

To convert from radians to DEGREES

a)

multiply by

\frac{π}{180°}

b)

multiply by
$\frac{180°}{π}$

c)

multiply by
$\frac{π}{\sqrt{2}}$

d)

multiply by
$\frac{π}{\sqrt{3}}$

6.

Convert 150⁰ to radians

a)

$\frac{5π}{6}$

b)

$\frac{3π}{4}$

c)

$\frac{7π}{6}$

d)

$\frac{2π}{3}$

e)

$\frac{15π}{8}$

7.

Convert 100⁰ to radians

a)

$\frac{5π}{9}$

b)

$\frac{9π}{5}$

c)

$\frac{5π}{8}$

d)

$\frac{10π}{9}$

e)

$\frac{9π}{10}$

8.

What is the degree of an angle with a radian measure of $\frac{7}{4}\pi$

a)

$310\degree$

b)

$320\degree$

c)

$315\degree$

d)

$330\degree$

9.

What is 360 degrees in radians?

a)

2π/3

b)

5π/4

c)

2π

d)

π

10.

What angle below represents the same angle measure as $180\degree$

a)

$\pi$

b)

$\frac{\pi}{2}$

c)

$2\pi$

d)

$\frac{3\pi}{2}$

11.

What is 90 degrees in radians?

a)

π/4

b)

π/2

c)

π/6

d)

3π/2

12.

How many radians does a circle have?

a)

360 degrees

b)

2pi radians

c)

pi radians

d)

^{2 radians}

13.

Convert to radians: 270°

a)

π/2

b)

π

c)

3π/2

d)

2π

14.

Convert to degrees: 11π/6

a)

300°

b)

315°

c)

330°

d)

350°

15.

Convert 45° to a radian measure.

a)

$\frac{1}{8}\pi$

b)

$\frac{1}{4}\pi$

c)

$\frac{1}{2}\pi$

d)

$\frac{1}{6}\pi$

16.

Convert 300° to a radian measure.

a)

$\frac{3}{4}\pi$

b)

$\frac{7}{4}\pi$

c)

$\frac{5}{3}\pi$

d)

$\frac{5}{6}\pi$

17.

Convert 225° to a radian measure.

a)

$\frac{5}{6}\pi$

b)

$\frac{6}{5}\pi$

c)

$\frac{6}{7}\pi$

d)

$\frac{5}{4}\pi$

18.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

19.

Can a right triangle have sides of length
5, 7, and 9?

a)

Yes. 5-7-9 is a triple

b)

No. 5-7-9 is not a triple

20.

Find the missing side

a)

46

b)

14

c)

69

d)

52

21.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

22.

Find the value of x.

a)

7

b)

8

c)

9

d)

10

23.

(Fill in the blank) A Pythagorean triple is a set of 3 _______ such that a² + b² = c².

a)

imaginary numbers

b)

fractions or decimals

c)

irrational numbers

d)

positive integers

24.

solve for c

a)

7

b)

9

c)

4

d)

13

25.

Find the missing side

a)

21

b)

51

c)

32

d)

47

26.

Find the missing side.

a)

24

b)

23

c)

26

d)

35

27.

Find the missing side.

a)

26

b)

16

c)

38

d)

45

28.

What is/are the formula(s) to find the area of a circle?

a)

πr²

b)

2πr

c)

√π

29.

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

30.

a)

122.46 mi²

b)

122. 45 mi²

c)

175.84 mi²

d)

175.85 mi²

31.

What is the approximate area of the shaded region? (Round to the nearest whole number)

(a)

32.

The diagram below shows the dimensions of Mrs. Prothro’s new swimming pool. A cover is needed for the pool, what will be the approximate area of the cover?

a)

720 ft²

b)

580.92 ft²

c)

592.83 ft²

d)

238.5 ft²

33.

Find the area of the shaded region. (The number is 18 cm)

a)

63.6 cm ²

b)

34.8 cm ²

c)

69.5 cm ²

d)

98.4 cm ²

34.

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)

$100cm^2$

35.

A logo is designed that has four pink circles within a white square.The square has side length 16cm.

Find the area of the logo that is white.

a)

$155cm^2$

b)

$55m^2$

c)

$54.9cm^2$

36.

a)

160 m²

b)

150 m²

c)

164 m²

d)

162 m²

37.

a)

26 in²

b)

22 in²

c)

24 in²

d)

28 in²

38.

Find the area of the shaded region:

a)

350 cm²

b)

137.5 cm²

c)

212.5 cm²

d)

484.2 cm²

39.

a)

A

b)

B

c)

C

d)

D

40.

What is the area of the shaded region?

a)

208

b)

225

c)

206

d)

100

41.

a)

122.46 mi²

b)

122. 45 mi²

c)

175.84 mi²

d)

175.85 mi²

42.

What is the approximate area of the shaded region?

a)

70 cm²

b)

12 cm²

c)

82 cm²

d)

58 cm²

43.

a)

165 in.²

b)

65 in.²

c)

235 in.²

d)

85 in.²

Math

Total questions: 43

Worksheet time: 53mins

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