Free Printable Year 9 Topic Test 2 Revision Part 1

1.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

2.

Which of these sides is the hypotenuse?

a)

8

b)

15

c)

17

3.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

4.

This is the longest side of a right triangle

a)

hypotenuse

b)

leg

c)

Pythagorean theorem

d)

Right triangle

5.

Which equation is modeled by the picture shown?

a)

3²+5²=4²

b)

3²+4²=5²

c)

5²+4²=3²

d)

9²+16²=25²

6.

The Pythagorean is used to find what

a)

missing sides only

b)

missing angles only

c)

either missing sides or angles

7.

What is the formula used to solve for the hypotenuse?

a)

a²⁺b²=c²

b)

a+b=c

c)

a-b=c

d)

c-a=c

8.

What is the side of a right triangle across from the right angle called?

a)

Square

b)

Arm

c)

Leg

d)

Hypotenuse

9.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

10.

^{Find the length of the missing side}

a)

48

b)

108

c)

83.6

d)

72

11.

What leg is considered the hypotenuse?

a)

Any side

b)

the side opposite the smallest angle

c)

the side opposite the right angle

d)

the side opposite the shortest leg

12.

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

a)

6

b)

6.7

c)

3

d)

15.7

e)

None of them

13.

What is the length of the hypotenuse?

a)

33.5 cm

b)

45 cm

c)

6.7 cm

d)

15 cm

14.

Determine the length of the missing side.

a)

7

b)

8

c)

17

d)

23

15.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

16.

What setting on your calculator should you check before working trigonometry problems?

a)

It should be in "Degree" mode

b)

It should be in "Radian" mode

c)

All memory should be cleared

d)

The trig setting should be set to "on"

17.

In the acronym SOH CAH TOA, what does SOH mean?

a)

$\sin\theta=\frac{opp}{hyp}$

b)

$\cos\theta=\frac{opp}{hyp}$

c)

$\sin\theta=\frac{hyp}{opp}$

d)

$\sin\theta=\frac{adj}{hyp}$

18.

Which trigonometric ratio is correct?

a)

sinA= opp/adj

b)

cosA= opp/hyp

c)

tanA= opp/adj

d)

sinA= adj/opp

19.

What is the ratio for Tan

a)

$\frac{O}{A}$

b)

$\frac{A}{O}$

c)

$\frac{O}{H}$

d)

$\frac{H}{O}$

20.

What is the ratio for Cosine?

a)

$\frac{O}{H}$

b)

$\frac{O}{A}$

c)

$\frac{A}{O}$

d)

$\frac{A}{H}$

21.

What is the ratio for Sine?

a)

$\frac{H}{O}$

b)

$\frac{O}{H}$

c)

$\frac{O}{A}$

d)

$\frac{A}{A}$

22.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

23.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

24.

Which trig ratio would you use for the following?

a)

Sin

b)

Cos

c)

Tan

d)

You would not be able to use trigonometry

25.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

26.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

27.

What equation can be used to solve for x?

a)

Sin(40°)= x/40

b)

Sin(40º)=x/19

c)

Cos(40º)=x/19

d)

Tan(40°)=19/x

28.

Solve for x. Round your answer to the nearest tenth.

a)

10

b)

11.3

c)

12.0

d)

15.0

29.

Solve for the missing distance

a)

18.9 meters

b)

19.5 meters

c)

47.2 meters

d)

27.5 meters

30.

Find the length of side x. Round your answer to the nearest tenth.

a)

50.7

b)

50.1

c)

60.7

d)

61.0

31.

Find the measure of the indicated angle. Round to the nearest tenth.

a)

35.8°

b)

43.8°

c)

46.2°

d)

54.2°

32.

What is the correct set up for the problem to find the measure of the indicated angle?

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

33.

Solve for the missing angle

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

34.

Simplify: 6b + 7b - 10

a)

3b

b)

13b - 10

c)

13b² - 10

d)

3b²

35.

What is the simplified form of this expression 3x + 4 + 5x + 3

a)

15x

b)

8x+7

c)

7x+8

36.

What is the simplified form of this expression

3x+4+5x+3

a)

8x+7

b)

2x+1

c)

7x+8

d)

15x

37.

Simplify the Expression.
9z - 21 - 3z + 10

a)

Simplified

b)

9z - 21 - 7

c)

9z - 11 -3z

d)

6z - 11

38.

Simplify 6(x - 2)

a)

6x + -2

b)

6x - 12

c)

4x

d)

6x - 2

39.

8(x - 3)

(a)

40.

$5\left(3x+4\right)$

(a)

41.

$7\left(3x-5\right)$

(a)

42.

$\ Expand\ \ \ \ 3\left(x-5\right)$

a)

$3x$

b)

$-2x$

c)

$3x-15$

d)

$3x-2$

43.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

44.

Simplify the following expression:
-10x - 9x + 1

a)

-19x + 1

b)

-19x² + 1

c)

-10x - 8

d)

-19x - 1

45.

$t^9\times t^6\div t^3$ =

a)

$t$

b)

$t^{12}$

c)

$t^3$

d)

$t^{18}$

46.

5a×3a

a)

15a²

b)

30a

c)

15a

d)

a³⁰

47.

(a³)³×a

a)

a⁹

b)

a⁷

c)

a¹⁰

d)

a¹²

48.

Simplify: 8x² + 5x + 2y + x

a)

14x + 2y

b)

13x²+ 2y + x

c)

8x² + 6x + 2y

d)

8x² + 7xy + x

49.

$a^2\ \times3a$

a)

$3a.a$

b)

3

c)

$3a^3$

d)

You can't multiply this

50.

$b\times3b\times2b$

a)

$6b$

b)

$b\times6b$

c)

$6b^3$

d)

These terms can't be multiplied

51.

4c x 3d

a)

12cd

b)

7cd

c)

cd

d)

none of the above

52.

a x a x a x a

a)

4a

b)

a⁴

c)

a⁶

d)

a

53.

Simplify: 4x²y × 9xy²

a)

36x³y³

b)

36xy³

c)

13x²y²

d)

13x³y³

54.

Expand and simplify the following quadratic expression...

(x + 3)(x + 2)

a)

x² + 5x + 6

b)

x² + 5x + 5

c)

x² + 6x + 6

d)

x² + 6x + 5

55.

Expand and simplify the following quadratic expression...

(x - 3)(x + 8)

a)

x² + 5x - 24

b)

x² - 5x - 24

c)

x² + 5x + 24

d)

x² - 5x + 24

56.

Expand and simplify the following quadratic expression...

(x - 8)(x + 8)

a)

x² + 16x - 64

b)

x² + 16x + 64

c)

x² - 16x + 64

d)

x² - 64

57.

Expand and simplify the following quadratic expression...

(x - 6)(x - 4)

a)

x² - 10x + 24

b)

x² - 10x - 24

c)

x² + 10x - 24

d)

x² + 10x + 24

58.

Expand and simplify the following quadratic expression...

(x + 7)²

a)

x² + 49

b)

x² + 14x + 49

c)

x² + 49x + 14

d)

x² + 7x + 49

59.

Expand
(4n - 5)(2n + 5)

a)

8n² + 10n - 25

b)

56n² + 4n - 16

c)

7n² + 27n - 4

d)

56n² - 16

60.

Expand (2x + 3)(3x - 2)

a)

6x² + 5x - 6

b)

6x²+13x - 6

c)

6x² - 5x - 6

d)

6x² +5x + 6

Year 9 Topic Test 2 Revision Part 1

Total questions: 60

Worksheet time: 2hrs 27mins

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