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Worksheets

Year 13

Total questions: 20

Worksheet time: 32mins

Name
Class
Date
1.

Q. Expand (x + 5)(x + 4)(x+3)

a)

x3 + 12x2+47x + 60

b)

x3 + 6x2+45x + 60

c)

x3 + 9x2+20x + 40

d)

x3 + 3x2+27x + 60

2.

Q. Factorise x2 + 13x + 40

a)

(x + 40)(x + 1)

b)

(x + 10)(x + 4)

c)

(x + 20)(x + 2)

d)

(x + 8)(x + 5)

3.

Q. The discriminant for quadratic equation is

a)

ax2 + bx + c

b)

b - 4ac

c)

b2 - 4ac

d)

b2 + 4ac

4.

Q. y = −x2 +2x +3

Given this function the curve should look like:

a)
b)
5.

Q. Simplify: (3a2b)2 × (2ab)3

a)

72a7b5

b)

6a7b5

c)

36a5b4

d)

18a4b2

6.

Q. Given: U = { 1, 2, 3, 4, 5} A = { 1, 2, 3 } B = { 1, 3, 4 }

What is the (AUB)' ?

a)

{1,2,3,4}

b)

{5}

c)

{1,2}

d)

{3,4}

7.

Q. Find the 32nd term of this sequence.

34, 37, 40, 43, . . .

a)

32

b)

64

c)

127

d)

356

8.

Q. Calculate the gradient of the straight line.

a)

-9/8

b)

-1/2

c)

-8/9

d)

-12

9.

Q. Find the area.

a)

150 m2

b)

120 m2

c)

126 m2

d)

200 m2

10.

Q. Solve for the missing angle.

a)

50

b)

0.053

c)

36.9

d)

95

11.

Q. Find the derivative of f(x) = 2x5+3x

a)

10x4+3

b)

2x4+3

c)

10x5+3

d)

10x5+3x

12.

Q. ∫5x4 dx

a)

x5

b)

5/4 x5 + C

c)

x5 + C

d)

20x3 + C

13.
a)

1

b)

2

c)

3

d)

4

14.

Q. If CAT is coded as PATC, JOY is coded as POYJ; similarly the word WING will be coded as -

a)

PIGNW

b)

PINGW

c)

PGNIW

d)

PIWGN

15.

Q. Tanya is older than Eric.

Cliff is older than Tanya.

Eric is older than Cliff.

If the first two statements are true, the third statement is:

a)

True

b)

False

c)

Uncertain

16.

Q. What will be the missing number in the series

196, 169, 144, __, 100, 81?

a)

121

b)

120

c)

119

d)

118

17.

Q. Solve:

2x + 3y = 5

x + 3y = 7

a)

x = -2

y = 3

b)

x = -2

y = -3

c)

x = 2

y = 3

d)

x = 2

y = -3

18.
a)

55

b)

121

c)

212

d)

238

19.

Q. Which set of data has a mean of 12, a range of 27, a median of 14, and a mode of 14?

a)

25, 15, 14, 3, 7, 10, 4, 12, 7

b)

14, 21, 14, 15, 4, 10, 16, 5, 9

c)

14, 22, 15, 15, 9, 3, 16, 14, 17

20.

Q. 20 trucks can hold 150 metric tones. How much will 12 trucks hold ?

a)

80 metric tones

b)

90 metric tones

c)

60 metric tones

d)

40 metric tones