Free Printable IGCSE Math (Extended) Review Quiz

1.

A sprinter runs a race of 200 m.

Her total time for running the race is 25 s.

Above is a sketch of the speed-time graph for the motion of the sprinter

(a) What is the acceleration in first 4 seconds?

b) The distance covered by the sprinter in the first 20 seconds of the race

a)

(a) 4/9

b)

(a) 9/4

c)

(b) 163.1

d)

(b) 20

e)

(b) 162

2.

A sprinter runs a race of 200 m.

His total time for running the race is 20.32s.

Below is a sketch of the speed-time graph for the motion of the sprinter.

a) The maximum speed of the sprinter during the race

b) The distance covered by the sprinter in the first 5 seconds of the race

a)

(a) 9.8 m/s, (b) 32.1 m

b)

(a) 11.8 m/s, (b) 31.1 m

c)

(a) 11.22 m/s, (b) 28.06 m

d)

(a) 11 m/s, (b) 200 m

3.

How do you find the distance travelled from a speed-time graph?

a)

Find the gradient

b)

Find the area under the graph

c)

Read the height of the graph

4.

How do you find the acceleration from a speed-time graph?

a)

Find the gradient

b)

Find the area under the graph

c)

Read the height of the graph

5.

Calculate the acceleration of the train at 2.5 minutes

a)

1 km/m²

b)

3.33 km/m²

c)

0.3 km/m²

d)

7.5 km/m²

6.

How far does the train travel in the first 10 minutes?

a)

1.5 km

b)

11.25 km

c)

3.75 km

d)

7.5 km

7.

How fast is the train after 20 minutes?

a)

0.5 km/min

b)

0.2 km/min

c)

5 km/min

d)

5 km/h

8.

How far does the dog run between 10 and 15 seconds?

a)

11 m

b)

5 m

c)

60 m

d)

55 m

9.

The highest common factor of 28, 42, and 76 is….

a)

14

b)

7

c)

4

d)

2

10.

Find the prime factorization of 420

a)

2² • 3 • 5 • 7

b)

7⁷

c)

2² • 3 • 11

d)

2³ • 3 • 7

11.

What is the Area?

a)

$2x^2-3x-18$ sq, in.

b)

$2x^2+3x+18$ sq. in.

c)

$2x^2+9x-18$ sq. in.

d)

$2x^2-9x-18$ sq. in.

12.

The following number has been rounded to the nearest metre.

370m

Find the upper bound...

a)

375m

b)

370.5m

c)

370.05m

d)

375.5m

13.

Factorsie x² +4x -32

a)

(x - 8)(x + 4)

b)

(x + 8)(x - 4)

c)

(x + 8)( x + 4)

d)

(x - 8)(x - 4)

14.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

15.

Find the nth term of...
1,3,5,7...

a)

2n+1

b)

2n-1

c)

2n+2

d)

2n-2

16.

Write the equation of the line.

a)

y=-3x-4

b)

y=-4x-3

c)

y=(-3/4)x-3

d)

y=(-4/3)x-3

17.

.

a)

Yes they're similar

b)

No they're not similar

c)

Cannot be determined

18.

f : x → 0.5(4 + 5x) + 10. What is the inverse of the function?

a)

x → ½(-5x - 4).

b)

x → ⅕(5x - 10).

c)

x → ⅕(2x - 24).

d)

x → -½(-4 - 5x) - 10

19.

Find the size of angle y.

a)

45^o

b)

57^o

c)

78^o

d)

90^o

20.

Joanna drives for 400km at an average speed of 80km/h. How long was her journey?

a)

Joanna's journey was 5hrs long

b)

Joanna's journey was 10hrs long

c)

Joanna's journey was 20hrs long

d)

Joanna's journey was 15hrs long

21.

a)

6/5x

b)

(x-4)/(x-2)

c)

(x+3)/(x+2)

d)

(x+3)/(x-4)

22.

The figure below show a triangular shaped garden located inside a rectanualr shaped, grassy yard. What is the area of the grassy yard?

a)

480 m^2

b)

384 m^2

c)

360 m^2

d)

336 m^2

23.

Write the following as one fraction...

a)

3y / 11

b)

3y / 30

c)

17y / 30

d)

2y / 30

24.

Make x the subject:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

25.

(3x²y³)²

a)

9x⁴y⁶

b)

3x⁴y⁵

c)

6x⁴y⁶

d)

9xy

26.

a)

x⁴

b)

4x³

c)

3x³

d)

4x²

27.

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}

28.

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}

29.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

30.

I have just paid £88 for my water bill. This is an increase of 10% from last year. How much did I pay last year?

a)

£80

b)

£70

c)

£90

d)

£78

31.

Find the measure of angle 1.

a)

28^o

b)

136^o

c)

44^o

d)

6^o

32.

Solve:

3x - y = 11

x + y = 5

a)

x = 4

y = 1

b)

x = 4

y = -1

c)

x = -4

y = 1

d)

x = -4

y = -1

33.

Solve
$3x+y=1$
$x-2y=19$

a)

$x=-4,\ y=3$

b)

$x=3,\ y=-4$

c)

$x=3,\ y=-8$

d)

$x=4,\ y=8$

34.

Davy Crockett earned $10,000 from his raccoon skin hat company. He deposited it into an account that earned 3% interest compounded annually. How much interest did he earn after 4 years?

a)

$11,255.09

b)

$1255.09

c)

$1200

d)

$11,200

35.

What is 98.907 rounded to 1 significant figure?

a)

98.9

b)

90

c)

100

d)

98.91

36.

2x + 3(5x - 7) = 47

a)

1

b)

2

c)

3

d)

4

37.

16^-½

a)

¼

b)

½

c)

8

d)

-8

38.

Of the 53 staff at a school, 36 drink tea, 18 drink coffee and 10 drink neither. How many drink both tea and coffee?

a)

8

b)

9

c)

10

d)

11

39.

Make x as the subject of the formula.

a)

17 ÷ ( 16d - c )

b)

( 17 ÷ 16d ) + c

c)

17 ÷ 16d + c

d)

17 ÷ 16d² + c²

40.

Find the vertex of the quadratic:
y = -2x² + 4x + 3

a)

(0, 3)

b)

(-1, 5)

c)

(1, 5)

d)

(1, -5)

41.

Solve for the variable.

a)

11

b)

-7.5

c)

35

d)

-2.52

42.

Which of the following inequalities matches the given graph?

a)

y ≤ -3/4 x + 3

b)

y ≥ -3/4 x + 3

c)

y < -3/4 x + 3

d)

y > -3/4 x + 3

43.

The mean of ten numbers is 20, if 5 is subtracted from every number, what will be the new mean?

a)

10

b)

15

c)

17

d)

20

44.

Find the median of 37,31,42,43,46,25,39,45,32

a)

40

b)

37

c)

39

d)

42

45.

What is the mean?

a)

7.8

b)

8.7

c)

7

d)

8

46.

What is the nth term rule of this sequence

9, 13, 17, 21....

a)

4n + 5

b)

9n

c)

5n + 4

d)

5n

47.

Find the first three terms of the sequence.

a_n= 7(n + 2)

a)

21, 28, 35

b)

7, 9, 11

c)

9, 16, 23

d)

16, 23, 30

48.

Write the explicit formula for the sequence given by 3, 6, 12, 24, …

a)

^a_n= 3(2)^n-1

b)

^a_n= 3+(2)ⁿ

c)

^a_n= 3(2)ⁿ

d)

^a_n= 3+(2)^n-1

49.

a)

A

b)

B

c)

C

d)

D

50.

Based from the given figures above, how many dots would there be in the next figure?

a)

21

b)

22

c)

23

d)

24

51.

Given g(x)= -3x and f(x)=x²+2, find g(f(x)).

a)

g(f(x))= -3x²-6

b)

g(f(x))= -3x²+2

c)

g(f(x))=9x²+2

d)

g(f(x))= -9x²+2

52.

Find the inverse of
f(x) = 1/4x - 7

a)

f^-1(x) = 4x + 7

b)

f^-1(x) = -4x + 28

c)

f^-1(x) = -4x - 7

d)

f^-1(x) = 4x + 28

53.

The following shapes are similar, the smaller one is the original shape, what is the scale factor?

a)

8:12

b)

3:2

c)

4:8

d)

6:12

54.

a)

$42cm^2$

b)

$63cm^2$

c)

$1176cm^2$

d)

$56cm^2$

55.

When I have the scale factor, how do I use it to find the area?

a)

Square root it and the multiply by area given

b)

Square it and the multiply by area given

c)

Double it and the multiply by area given

d)

Multiply it by area given

56.

Tricky one!

a)

18cm

b)

6cm

c)

9cm

d)

4cm

57.

_{^{Find the missing side}}

a)

37

b)

17.66

c)

6

d)

312

IGCSE Math (Extended) Review Quiz

Total questions: 57

Worksheet time: 2hrs 5mins

Similar Resources on Wayground