Free Printable Math final Revision Grade 9 (second term)

1.

Factor the expression

x^2-x-6

a)

(x+2)(x-3)

b)

(x-2)(x+3)

c)

(x-2)(x-3)

d)

x(x-3)

2.

Factor the perfect square trinomial

x² - 18x + 81

a)

(x - 9)(x + 9)

b)

(x - 3)(x + 9)

c)

(x + 9)(x + 9)

d)

(x - 9)(x - 9)

3.

Completely factor the polynomial expression 4x² - 25y².

a)

(5x - 2y)(5x + 2y)

b)

(2x - 5y)(2x + 5y)

c)

(xy - 5)(xy + 2)

d)

(xy + 5)(xy -2)

4.

What are the factors of the expression x² + 7x + 10?

a)

(x - 2)(x + 5)

b)

(x + 2)(x - 5)

c)

(x - 2)(x - 5)

d)

(x + 2)(x + 5)

5.

Factor the following polynomial:-

x² + 2x - 24

a)

(x - 2) (x + 5)

b)

(x - 4) (x + 6)

c)

(3 x + 2) (x + 1)

6.

64x² - 81y²

a)

(8x + 7y) (8x - 7y)

b)

(8x + 9y) (8x - 9y)

c)

(6x + 7y) (6x - 7y)

d)

(6x + 9y) (6x - 9y)

7.

Factor the Polynomial

12x³- 9x² + 4x - 3

a)

(3x² + 1) (4x - 3)

b)

(3x² - 1) (4x + 3)

c)

(4x² + 1) (3x - 3)

d)

(4x² - 1) (3x + 3)

8.

Factor by grouping:

20x³-25x²+4x-5

a)

(5x²-5)(4x+1)

b)

5(x²-1)(4x+5)

c)

(5x²+1)(4x-5)

d)

(5x²+1)(4x-1)

9.

Factorize completely:

$3cd-6ce-d+2e$

(a)

10.

Factor by grouping:
4p³+8p²+3p+6

a)

(2p²+3)(p+2)

b)

(2p²+6)(p+4)

c)

(4p²+3)(p+2)

d)

(4p²+8p)(3p+6)

11.

x³-5x²+5x-25

a)

(x²-5)(x-5)

b)

(x²+5)(x-5)

c)

(x²+5)(x+5)

d)

(x²-1)(x-25)

12.

If O is the centre of the circle, find the radius of the circle given that XY = 16cm and OM = 15cm.

(a)

13.

Find the value of x.

(a)

14.

Find the value of x.

(a)

15.

The chords EH and FG of the circle are produced to meet at X. Given that $\angle EGH\ =\ 40\degree$ and XH = HF = FE, calculate $\angle HXG$

(a)

16.

Find the value of $x$

(a)

17.

TV is a diameter of the circle. Given that UW = UV and $\angle VUW\ =\ 30\degree$ , calculate $\angle UVT$

(a)

18.

Find the value of $b$

(a)

19.

Find the size of angle $b$

(a)

20.

Find the size of angle $x$

(a)

21.

ABCD is a cyclic quadrilateral with AD = AB and AD is produced to E. If $\angle CDE\ =\ 70\degree$ and $\angle CDB\ =\ 72\degree$ , calculate $\angle BAD$

(a)

22.

A, B, C, D and E are points on a circle. AB = AE, $\angle EAB\ =\ 130\degree$ and $\angle EDC\ =\ 110\degree$ , calculate $\angle ABC$

(a)

23.

ST and UT are tangents to the circle with centre O. OVT is a straight line. If $\angle SVT\ =\ 123\degree$ , calculate $\angle VST$

(a)

24.

ABCD is a cyclic quadrilateral with AD = AB and AD is produced to E. If $\angle CDE\ =\ 70\degree$ and $\angle CDB\ =\ 72\degree$ , calculate $\angle BAD$

(a)

25.

Find the value of the angle marked x....

a)

90

b)

43

c)

47

d)

53

26.

Find the value of the angle marked x....

a)

50

b)

100

c)

80

d)

90

27.

Find the value of the angle marked x....

a)

125

b)

70

c)

110

d)

55

28.

What is the m∠ADB?

a)

16^o

b)

32^o

c)

64^o

d)

14^o

29.

find the measure of angle a

a)

30

b)

21

c)

60

d)

120

30.

Calculate y

a)

49

b)

98

c)

196

d)

262

31.

Find the value of the angle marked x....

a)

63

b)

126

c)

54

d)

90

32.

The points E, F and G lie on the circumference of a circle, centre O.

JGH is a tangent to the circle.

Find the value of x and the value of y.

a)

x=32 , y= 58

b)

x=29, y=58

c)

x=32 , y=32

33.

DAE is a tangent to a circle.

Write down the size of angle ABC. Give the reason for your answer

a)

61 , alternate segments

b)

61 , same segments

c)

63, alternate segments

34.

Find the value of the angle marked x....

a)

88

b)

75

c)

92

d)

102

35.

Dan borrows $1200 from a bank with 8% simple interest per year. How much will he have to pay back IN TOTAL after 2 years?

a)

$150

b)

$1350

c)

$192

d)

$1392

36.

Dan borrowed $2,000 for 6 months at 12% annual simple interest rate. How much interest is that?

a)

$120

b)

$144

c)

$1,200

d)

$1,440

37.

Find the balance in the account after the given period.

$12,000 principal earing 4.8% compounded annually after 7 years.

a)

$3,243.19

b)

$16,661.35

c)

$15,243.19

d)

$4,661.35

38.

A sea turtle made 460 dives in 12 hours. At this rate, how many dives did the sea turtle make in 3 hours?

a)

153

b)

115

c)

120

d)

165

39.

Increase $90 by 12%

a)

$10.80

b)

$102

c)

$100.80

d)

$90.12

40.

A 6-ounce package of fruit snacks contains 45 pieces. How many pieces would you expect in a 10-ounce package?

a)

75 Pieces

b)

27-ounces

c)

27 pieces

d)

75-ounces

41.

Increase $90 by 12%

a)

$10.80

b)

$102

c)

$100.80

d)

$90.12

42.

Darren makes $10 per hour. Next semester, he will be making $14 per hour. What rate of increase does this represent?

a)

28.5%

b)

40%

c)

71%

d)

60%

43.

Calculate the distance on the map given that the actual distance between Shop A and Shop B is 400 metres. The map scale is given by 1 : 5000

a)

50 cm

b)

5 cm

c)

80 cm

d)

8 cm

44.

Calculate the distance on the map given that the actual distance between Shop A and Shop B is 400 metres. The map scale is given by 1 : 5000

a)

50 cm

b)

5 cm

c)

80 cm

d)

8 cm

45.

The distance between London and Birmingham is 165 km.

What would be the distance between these two cities on a map with a scale of

1: 300000

(a)

46.

12) A pack of cat food can last up to 30 days for 5 cats. How long will the cat food last if 6 cats will consume it?

a)

25 days

b)

20 days

c)

36 days

47.

In a class there are 30 boys and 12 girls. Find the ratio of number of boys to number of girls.

a)

2 : 5

b)

5 : 2

c)

3 : 4

d)

None of the above

48.

48 men were deployed to construct a bridge in 30 days.

How many days does it take for 8 men to construct the same bridge?

a)

5

b)

10

c)

180

d)

200

49.

The profit on a water was 15% of the cost price. If the profit was $150, find the cost price of the watch.

a)

$22.50

b)

$172.50

c)

$176.47

d)

$1000

50.

Joe paid $345 for a vase. He sold it at a profit of 180% of cost price. Find the selling price of the vase?

a)

165

b)

525

c)

621

d)

966

51.

There are 20 questions in a test and you get 75% correct. How many questions do you get right ?

a)

15

b)

12

c)

10

d)

5

52.

The price of a notebook in 2012 is $2000. In 2013, its value decreased by 30%. In 2014, its value decreased by 30% of its value in 2013. Find the value of the notebook at the end of 2014.

a)

$800

b)

$980

c)

$1020

d)

$1200

53.

If Molly has 2 dogs for every 3 cats...how many dogs will she have if she has 6 cats?

\frac{2\ dogs}{3\ cats}=\frac{?\ dogs}{6\ cats}

a)

4

b)

2

c)

6

54.

Determine the ratio of the following

'30 minutes to 2 hours'

a)

30 : 2

b)

1 : 4

c)

1 : 6

d)

None of the above

55.

Split £40 into the ratio 3:7

a)

£12 : £28

b)

£30 : £70

c)

£30 : £10

d)

£28 : £12

56.

If 25 : x = x : 81, Then x = (a)

57.

If a : b = 3 : 4 and b : c = 6 : 7, then a : b : c =

a)

3 : 24 : 7

b)

9 : 12 : 14

c)

7 : 24 : 3

d)

14 : 12 : 9

58.

The angles of a triangle are in the ratio 1 : 2 : 3. The angles are

a)

45⁰ , 45⁰, 90⁰

b)

30⁰, 60⁰, 90⁰

c)

90⁰, 60⁰, 30⁰

d)

30⁰, 90⁰, 60⁰

Math final Revision Grade 9 (second term)

Total questions: 58

Worksheet time: 2hrs 18mins

Similar Resources on Wayground