Free Printable Year 9 Pythagoras / Trigonometry Quiz

1.

What is Pythagoras' Theorem?

a)

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

b)

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

c)

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

d)

$a^2-b^2=c^2$

e)

$a^2-b^2-c^2=$

2.

What is the acronym we use to remember the 3 trigonometric ratios?

a)

SOH COH TAO

b)

SOH CAO TAH

c)

SAH COH TOA

d)

SOH CAH TOA

e)

SIC CAR TEO

3.

What does SOH stand for?

a)

$\sin\left(\theta\right)=\frac{opposite}{adjacent}$

b)

$\sin\left(\theta\right)=\frac{opposite}{hyperbola}$

c)

$\sin\left(\theta\right)=\frac{orange}{hyperbola}$

d)

$\sin\left(\theta\right)=\frac{opposition}{hyperactive}$

e)

$\sin\left(\theta\right)=\frac{opposite}{hypotenuse}$

4.

What is the length of the hypotenuse in the triangle above?

a)

17.4 cm

b)

15.1 cm

c)

13.2 cm

d)

12.8 cm

e)

11.5 cm

5.

How long is the diagonal of this square?

a)

3.2 m

b)

4.2 m

c)

5.9 m

d)

6.1 m

e)

8.5 m

6.

The value of angle x correct to the nearest degree is:

a)

51°

b)

39°

c)

52°

d)

40°

e)

32°

7.

The value of angle x correct to 2 decimal places is:

a)

55.58°

b)

34.43°

c)

34.42°

d)

55.59°

e)

60.00°

8.

A ladder 3 m long leans against a wall. It makes an angle of 15.5° with the wall. How far, to the nearest cm, is the foot of the ladder from the wall?

a)

89 cm

b)

103 cm

c)

83 cm

d)

289 cm

e)

80 cm

9.

We know that sin (x) = cos (90° - x)

Which statement is false?

a)

sin(67°) = cos(23°)

b)

sin(47°) = cos(53°)

c)

cos(14°) = sin(76°)

d)

cos(85°) = sin(5°)

e)

sin(45°) = cos(45°)

10.

The figure above shows a parcel of land that is to be enclosed with a fence. Fencing material is sold in metre lots for a price of $36 per metre. The total cost will be:

a)

$5688

b)

$1152

c)

$2628

d)

$8297

e)

$3780

11.

Which statement is true?

a)

$\cos\theta=\frac{x}{z}$

b)

$\sin\theta=\frac{x}{y}$

c)

$\sin\theta=\frac{x}{z}$

d)

$\cos\theta=\frac{z}{y}$

e)

$\tan\theta=\frac{y}{z}$

12.

If the perpendicular sides of a right-angled triangle are 30 cm and 45 cm, the size of the smallest angle to the nearest degree will be:

a)

56°

b)

42°

c)

58°

d)

34°

e)

90°

13.

What is the value of x in the triangle above?

a)

$\frac{\sin\left(59\degree\right)}{10}$

b)

$10\times\sin\left(59\degree\right)$

c)

$\frac{10}{\cos\left(59\degree\right)}$

d)

$\frac{\cos\left(59\degree\right)}{10}$

e)

$10\times\cos\left(59\degree\right)$

14.

Triangle ABC is shown below. Which of the following is the closest to the perimeter of triangle ABC?

a)

21.0 cm

b)

17.5 cm

c)

16.3 cm

d)

12.6 cm

e)

9.4 cm

15.

A cable is laid across the diagonal of a rectangular block that measures 54 m by 92 m. What is the angle between the shorter side of the block and the cable?

a)

27.1°

b)

30.4°

c)

44.4°

d)

59.6°

e)

79.5°

Year 9 Pythagoras / Trigonometry Quiz

Total questions: 15

Worksheet time: 33mins

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