wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Long Quiz 1

Total questions: 40

Worksheet time: 40mins

Name
Class
Date
1.

If ∠S = 30 and ∠T = 60, what is the measure of ∠R?

a)

40°

b)

55°

c)

65°

d)

90°

2.

What is the reciprocal ratio of sine?

a)

Secant

b)

Cotangent

c)

Cosecant

d)

Cosine

3.

What is the mnemonic used with trigonometric ratios?

a)

SAH COA TOH

b)

SHO CAH THA

c)

SOA CAH TOA

d)

SOH CAH TOA

4.

Which of the following represents the sine ratio in a right triangle?

a)

b)

c)

d)

5.

Solve for a\angle a ?

a)


45°45\degree

b)

55°55\degree

c)

42°42\degree

d)


50°50\degree

6.

Solve for b?

a)

5.22

b)

4.76

c)

3.36

d)

2.26

7.

Solve for c.?

a)

6.22

b)

33.6

c)

3.36

d)

62.2

8.

In trigonometry, what is the inverse function of cosine?

a)

tangent

b)

secant

c)

cosecant

d)

cotangent

9.

In △QPR where ∠P = 90°, PR = 12cm and PQ = 5cm. What is the length of QR?

a)

7cm

b)

11cm

c)

13cm

d)

17cm

10.

Write the ratios for sin A and cos A from the given figure at the right.

a)

b)

c)

d)

11.

What is the value of tan 90°?

a)

0

b)

12\frac{1}{2}

c)

1

d)

undefined

12.

What is the measure of angle A from the figure below?

a)

53.14°53.14\degree

b)

63.14°63.14\degree

c)

36.87°36.87\degree

d)

46.87°46.87\degree

13.

With respect to the given angle, what is the ratio of the hypotenuse to the

adjacent side?

a)

sine

b)

cosine

c)

tangent

d)

cosecant

14.

Given the triangle below, which of the following statements is NOT true?

a)

b)

c)

d)

15.

In solving the right triangle ABC whose leg a = 15 unit and hypotenuse c = 27

unit, which of the following equations solve the length of the third side b?

a)

729 = 225 + b²

b)

b² = 729 + 225

c)

225 = 729 + b²

d)

27 = 15 + b²

16.
What type of special triangle is this?
a)
45°-45°-90°
b)
30°-60°-90°
c)
Equiangular
d)
Equilateral
17.
Find x.
a)
10
b)

10  310\ \ \sqrt[]{3}

c)

10  210\ \ \sqrt[]{2}

d)
20
18.
Find x.
a)
22
b)

11  311\ \ \sqrt[]{3}

c)

11  211\ \ \sqrt[]{2}

d)
11
19.
Find a.
a)
12
b)
24
c)

24  324\ \ \sqrt[]{3}

d)
16
20.
Find a.
a)

2  32\ \ \sqrt[]{3}

b)
2
c)
12
d)
6
21.
What is the length of y in this picture?
a)
45
b)

5  25\ \ \sqrt[]{2}

c)
90
d)
5
22.
Find the value of x.
a)
18
b)

18  318\ \ \sqrt[]{3}

c)

36  336\ \ \sqrt[]{3}

d)
12
23.
Find the value of y.
a)
8
b)
4
c)

2   32\ \ \ \sqrt[]{3}

d)

8  38\ \ \sqrt[]{3}

24.
Find the length of m.
a)
4
b)
6
c)
12
d)

2  32\ \ \sqrt[]{3}

25.
What is the length of y in this picture?
a)
45
b)

5  25\ \ \sqrt[]{2}

c)
90
d)
5
26.

What is sine θ from based from the given figure?

a)

815\frac{8}{15}

b)

817\frac{8}{17}

c)

158\frac{15}{8}

d)

1715\frac{17}{15}

27.

What is cosine θ from the given figure?

a)

1517\frac{15}{17}

b)

817\frac{8}{17}

c)

158\frac{15}{8}

d)

1715\frac{17}{15}

28.

Find secant θ from the given figure?

a)

1517\frac{15}{17}

b)

817\frac{8}{17}

c)

158\frac{15}{8}

d)

1715\frac{17}{15}

29.

What is cosecant θ from the given figure?

a)

1517\frac{15}{17}

b)

178\frac{17}{8}

c)

158\frac{15}{8}

d)

1715\frac{17}{15}

30.

What is secant θ from the given figure?

a)

512\frac{5}{12}

b)

1312\frac{13}{12}

c)

125\frac{12}{5}

d)

135\frac{13}{5}

31.

Choose the value of tangent θ from the given figure.

a)

512\frac{5}{12}

b)

1312\frac{13}{12}

c)

125\frac{12}{5}

d)

135\frac{13}{5}

32.

What is sine θ from the given figure?

a)

512\frac{5}{12}

b)

1312\frac{13}{12}

c)

125\frac{12}{5}

d)

513\frac{5}{13}

33.

What is cot θ from the given figure?

a)

512\frac{5}{12}

b)

1312\frac{13}{12}

c)

125\frac{12}{5}

d)

135\frac{13}{5}

34.

What is cot θ from the given figure?

a)

43\frac{4}{3}

b)

45\frac{4}{5}

c)

35\frac{3}{5}

d)

34\frac{3}{4}

35.

What is cosine θ from the given figure?

a)

43\frac{4}{3}

b)

45\frac{4}{5}

c)

35\frac{3}{5}

d)

34\frac{3}{4}

36.

What is sine θ from the given figure?

a)

43\frac{4}{3}

b)

45\frac{4}{5}

c)

35\frac{3}{5}

d)

34\frac{3}{4}

37.

What is tangent θ from the given figure?

a)

43\frac{4}{3}

b)

45\frac{4}{5}

c)

35\frac{3}{5}

d)

34\frac{3}{4}

38.

What is cosecant θ from the given figure?

a)

53\frac{5}{3}

b)

45\frac{4}{5}

c)

35\frac{3}{5}

d)

34\frac{3}{4}

39.

What is secant θ from the given figure?

a)

53\frac{5}{3}

b)

45\frac{4}{5}

c)

54\frac{5}{4}

d)

34\frac{3}{4}

40.

What is cosine θ from the given figure?

a)

512\frac{5}{12}

b)

1312\frac{13}{12}

c)

1213\frac{12}{13}

d)

135\frac{13}{5}