Free Printable Pure Mathematics

1.

$x^2\ +\ 6x\ -7\ >0\$

a)

x<7; 1>x

b)

x<-7; 1<x

c)

x>7; 3<x

d)

x<7; -1<x

2.

$x^2+2x+6=0\$

a)

x = -2

b)

x = 3; x=0

c)

no real solution

d)

x = 3

3.

The equation (x – 2)² + 1 = 2x – 3 is a

a)

linear equation

b)

quadratic equation

c)

cubic equation

d)

none of the above

4.

Let f and g be the function from the set of integers to itself, defined by f(x) = 2x + 1 and g(x) = 3x + 4. Then the composition of f and g is ____________

a)

6x + 9

b)

6x + 7

c)

6x + 6

d)

6x + 8

5.

The inverse of function f(x) = x³ + 2 is

a)

f^-1(y) = (y – 2)^1/2

b)

f^-1(y) = (y)^1/3

c)

f^-1(y) = (y – 2)

d)

f^-1(y) = (y – 2)^1/3

6.

a)

b)

c)

d)

7.

The first term of a geometric progression and the first term of an arithmetic progression are both equal to a. The third term of the geometric progression is equal to the second term of the arithmetic progression. The fifth term of the geometric progression is equal to the sixth term of the arithmetic progression. Given that the terms are all positive and not all equal, find the sum of the first twenty terms of the arithmetic progression in terms of a.

a)

590a + 20

b)

59a

c)

590a

d)

520a

8.

What is the measurement of the indicated angle?

(a)

9.

Identify the prime numbers in the list:

1, 2, 3, 7, 9, 11, 13, 14, 16

a)

1, 2, 3, 7, 11 and 13

b)

1, 3, 7, 11 and 13

c)

2, 3, 7, 9, 11 and 13

d)

2, 3, 7, 11 and 13

10.

In the below equation, what operation should be solved first?

12÷(1+3)−9×6^2=?

a)

Multiplication

b)

Parentheses

c)

Exponent

d)

Division

11.

In the general equal y = mx + b, b is the y-intercept

a)

True

b)

False

12.

2X + 4 = 6X

a)

True

b)

False

13.

What is the mean of 12, 14, 2, 9, 2, 66, 12, 10

a)

12

b)

14.908

c)

13.78191827

d)

15.875

e)

222.16

14.

5.68 in a fraction

a)

1/900

b)

568/100

c)

400/68

d)

100/8000

15.

8x8x2

a)

126

b)

128

c)

133

d)

122

16.

Convert 0.16 million to a whole number

a)

1 600

b)

16 000

c)

160 000

d)

1 600 000

17.

Add

a)

11 8
-4 2

b)

3 2
-6 -6

c)

-3 2
-4 -6

d)

10 8
-6 2

18.

Subtract

a)

3 -8
0 -1

b)

3 -4
8 -13

c)

-3 8
0 1

d)

3 -8
-8 1

19.

Find A+B

a)

8 10
8 1

b)

12 25
7 1

c)

10 30
0 1

d)

can't add two together because the rows dont match columns

20.

What do w, x, y and z equal in this matrix subtraction?

a)

w = 13, x = 4, y = 7, z = 23

b)

w = 13, x = -4, y = 11, z = 23

c)

w = 13, x = 4, y = 11, z = 23

d)

w = 13, x = 4, y = 11, z = 17

21.

What are the dimensions of this matrix?

a)

2 x 3

b)

3 x 2

c)

6 x 1

d)

1 x 6

22.

find: B*A

a)

47 30
9 5

b)

17 15
42 35

c)

10 25
7 1

d)

not possible because rows do not match columns

23.

If all items chosen are treated the same it is a ....

a)

Comparision

b)

Permutation

c)

Combination

d)

Position

24.

What is the value of 8!

a)

40320

b)

36

c)

362880

d)

5040

25.

Picking two paint colors for your room.

a)

Permutation

b)

Combination

c)

Neither

26.

How many ways can you choose a manager and assistant from a 9-person task force?

a)

81

b)

18

c)

72

27.

How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits?

a)

90

b)

100

c)

12

d)

24

28.

Find the number of possibilities:
A team of 17 softball players needs to choose three players to refill the water cooler.

a)

272

b)

4080

c)

680

29.

How many ways can a stylist arrange 5 of 8 vases from left to right in a store display?

a)

672

b)

40

c)

6720

30.

If Lucas owns 11 hoodies,how many ways can he choose four to bring on vacation?

a)

44

b)

7920

c)

330

d)

121

Pure Mathematics

Total questions: 30

Worksheet time: 30mins

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