Free Printable IGCSE mock exam review

1.

What does it mean to find the inverse of a function?

a)

the x's and y's are switched

b)

the x's and y's are divided by 2

c)

the x's and y's are made negative

d)

the x's and y's are the same

2.

What is the inverse of this function?

a)

A

b)

B

c)

C

d)

D

3.

If f and g are inverse functions, and
f(2) = -1 g(1) = -2 f(1) = -2,
then which of the following MUST be true?

a)

g(-2) = -1

b)

g(2) = 1

c)

g(-2) = 1

d)

g(1) = 2

4.

What's the axis of symmetry of y=3x²-6x+4

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

5.

What is the range?

a)

y≥-3

b)

y≥-1

c)

All real numbers

d)

y≤-1

6.

Solve 2x² + 7x - 15 = 0

a)

-3/2 or 5

b)

No Solution

c)

-5 or 3/2

d)

0.7 or 5

7.

Identify the vertex and the domain of the function y = -2(x+1)² + 4

a)

Max: 4, Domain: All Real Numbers

b)

Min: -4, Domain: All Real Numbers

c)

Max: 2, Domain: All real numbers when x is greater than 4

d)

Min: -2, Domain: All real numbers when x is less than 4

8.

Which of the following is the graph of $y=\left(x-2\right)^3-4$

a)

b)

c)

d)

9.

Which of the following is the equation of the cubic function graphed above

a)

$y=-\left(x-1\right)^3+4$

b)

$y=\left(x-1\right)^3+4$

c)

$y=-\left(x+1\right)^3+4$

d)

$y=\left(x+1\right)^3+4$

10.

Find the length of x. Round the nearest tenth.

a)

46.1

b)

4.9

c)

16.4

d)

26.9

11.

Find m<B

a)

A

b)

B

c)

C

d)

D

12.

What is the amplitude of the graph?

a)

1

b)

3

c)

6

d)

9

13.

What is the period of this function?

a)

60

b)

120

c)

270

d)

360

14.

In the graph of the sine function on the picture, What is the period?

a)

360

b)

180

c)

720

d)

90

15.

The graph correspond to

f(x)=a cos(bx)+c.

State the value of c.

a)

1

b)

4

c)

3

d)

0

16.

In some investment accounts interest is computed on interest that has been earned in previous years. What is this method of computing interest called?

a)

compound interest

b)

double interest

c)

simple interest

d)

not enough information

17.

David invests $10,000 in a savings account that pays 3.5% simple interest. If David makes no withdrawals or deposits to the account, how much will be in the account after 7 years.

a)

$2,450

b)

$11,750

c)

$12,450

d)

Not here

18.

Garrison deposited $500 in an account that earns 5% annual interest compounded annually. If he makes no withdrawals or deposits, how much interest will the account earn after 4 years?

a)

$600

b)

$100

c)

$607.75

d)

$107.75

19.

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

a)

63

b)

126

c)

54

d)

90

20.

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

a)

32

b)

64

c)

16

d)

58

21.

If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

a)

(-5, 5)

b)

(-3, -5)

c)

(-5, 3)

d)

(-3, 3)

22.

Enlarge point A from centre (0, 0) by a scale factor of 1/2

a)

(-4,-4)

b)

(-1,-4)

c)

(-1,-1)

d)

(-2,-2)

23.

What is the scale factor of the side lengths of the figure on the left to the figure on the right.

a)

3/1

b)

3240/120

c)

27/1

d)

9/1

24.

The surface area of a rectangular prism is 166 square feet. A similar prism has a surface area of 1494 square feet. If the length of the smaller prism is 5 feet, what is the length of the larger prism?

a)

10

b)

15

c)

45

d)

50

25.

Which of the following statements are true for the Venn diagram shown?

a)

Overlapping sets

b)

Subsets

c)

Disjoint sets

d)

Equal sets

26.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

27.

If
A = {1, 3, 5, 15},
B = {2, 3, 5, 7}
C = {2, 4, 6, 8}
then what is (A U B) ∩ C ?

a)

{1,3,5}

b)

{1,2,3}

c)

{2,3,5}

d)

{2}

28.

Identify the shaded area...

a)

A'∩B

b)

A∩B'

c)

A∪B'

d)

A'∪B

29.

What statement does the shaded region represent?

a)

C given that A or B

b)

C or A and B

c)

A and B given that C

d)

C given that A and B

30.

What statement does the shaded region represent?

a)

A or B and C

b)

Not C

c)

A or B

d)

B and C or A

31.

Make x the subject of this formula: rx + s = cx + d

a)

X = s - d / c - r

b)

X = r + d / c - s

c)

X = s + d / c - r

d)

X = s + d / c + r

32.

Simplify: $2m^{-1}$

a)

$\frac{1}{2m}$

b)

$\frac{m}{2}$

c)

$\frac{2}{m}$

d)

$2m$

33.

Simplify: $\left(\frac{4}{2d^2}\right)^3$

a)

$\frac{2}{d^2}$

b)

$\frac{8}{d^6}$

c)

$\frac{8}{2d^2}$

d)

$\frac{64}{2d^2}$

34.

Simplify: $\frac{\left(4x^2y^3\right)^0}{8x^3}$

a)

$\frac{1}{8x^3}$

b)

$\frac{y^3}{2x}$

c)

$\frac{4y^3}{8x}$

d)

$1$

35.

Simplify: $\frac{50r^6n^{-7}}{2n^2r^4}$

a)

$25r^4n^5$

b)

$\frac{25r^4}{n^5}$

c)

$\frac{25r^2}{n^9}$

d)

$25r^2n^{-9}$

36.

Evaluate the following...

(fully simplify your answer)

a)

³/₂

b)

²⁷/₈

c)

²/₃

d)

∛(⁸/₂₇)

37.

Evaluate the following...

(fully simplify your answer)

a)

25

b)

5²

c)

25²

d)

(∛125)²

38.

Find the Surface Area.

a)

15m²

b)

16m²

c)

18m²

d)

20m²

39.

Paige is sewing a tent which includes a floor. If the material cost $0.04 per square in, determine how much it will cost her to make the tent.

a)

$480

b)

$560

c)

$640

d)

$736

40.

What is the range of the data shown in the stem and leaf plot?

a)

40

b)

56

c)

136

d)

96

41.

What is the median of the scores?

a)

21

b)

16

c)

17

d)

19

42.

33, 25, 42, 25, 31, 37, 46, 29, 38

What is the upper quartile of the data?

a)

37

b)

38

c)

40

d)

46

43.

Which of the following inequalities matches the given shaded region?

a)

y ≥ 2/5x + 1

b)

y ≥ -2/5x + 1

c)

y≤ 2/5x + 1

d)

y ≥ -2/5x - 1

44.

Which of the following inequalities matches the given shaded region?

a)

y ≤ -3/4 x + 3

b)

y ≥ -3/4 x + 3

c)

y < -3/4 x + 3

d)

y > -3/4 x + 3

45.

Trina's paycheck earnings varies directly as the number of hours she works. If she works 19 hours and earns $187.15, what should she earn if she worked 40 hours?

a)

$394

b)

$440

c)

$472.80

d)

$512.20

46.

The number of hours to clean a house varies inversely with the number of cleaners working. A house can be cleaned in 27 hours by 6 cleaners. How many cleaners would need to work in order to clean the house in 18 hours?

a)

4 cleaners

b)

10 cleaners

c)

9 cleaners

d)

36 cleaners

47.

a varies inversely as the square of b. If a is 1 when b is 3, find a when b is 5.

a)

0.36

b)

9

c)

25

d)

36

48.

Find the Volume of the Cone

a)

150.72 cm³

b)

75.36 cm³

c)

452.16 cm³

d)

151 cm³

49.

Which quadrilateral does NOT have parallel sides?

a)

Square

b)

Rhombus

c)

Trapezoid

d)

Kite

50.

Which quadrilateral has all the properties listed:
- All sides are congruent
- Opposite sides are parallel
- Opposite angles are equal

a)

Rhombus

b)

Rectangle

c)

Parallelogram

d)

Trapezoid

IGCSE mock exam review

Total questions: 50

Worksheet time: 57mins

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