Free Printable G9 - IGCSE Maths Retrieval practice

1.

What shape am I ?

a)

Regular heptagon

b)

Irregular heptagon

2.

What is the sum of exterior angles of a pentagon?

a)

180

b)

360

c)

540

d)

760

3.

Given the regular polygon, determine is the value of x.

a)

72°

b)

45°

c)

360°

d)

540°

4.

Find the value of x.

a)

138°

b)

540°

c)

64°

d)

128°

5.

What is the formula for the sum of interior angles in a polygon?

a)

180(n−2)

b)

180(n−2)÷n

c)

360

d)

360/n

6.

Which circle does not have cyclic quadrilateral?

a)

b)

c)

d)

7.

Is OADC a cyclic quadrilateral?

a)

No

b)

Yes

8.

Find the sizes of the lettered angles in each of these circles

a)

a = 50, b = 95

b)

a = 85, b = 130

c)

a = 95, b = 50

d)

a = 130, b = 85

9.

Find the angles of x and y in each of these circles where O is the centre

a)

x = 50°

y = 62°

b)

x = 80°

y = 100°

c)

x = 100°

y = 80°

d)

x = 70°

y = 20°

10.

∠x + ∠y =

a)

45°

b)

900°

c)

180°

d)

360°

11.

Find the size of each lettered angle

a)

k=80, m=52, n=80

b)

k=52, m=52, n=80

c)

k=80, m=80, n=52

12.

Find the size of each lettered angle

a)

a = 110°

b)

a = 55°

c)

a = 70°

13.

A prime number...

a)

has one factor.

b)

has more than 2 factors.

c)

has 100 factors.

d)

has exactly 2 factors: 1 and the itself.

14.

A composite number ...

a)

has more than 2 factors.

b)

has one factor.

c)

has at least 10 factors.

d)

is always a really big number.

15.

Find the prime factorization of 12 ?

a)

2 x 6

b)

2 + 2 + 2 + 2 + 2 + 2

c)

2²x 3

d)

1 x 2²x 3

16.

Find the prime factorization of 192 ?

a)

3⋅ 6²

b)

2⁶⋅ 3

c)

2⁸⋅ 3

d)

3 ⋅ 8²

17.

LCM of 2³ × 3² and 2² × 3³ is :

a)

2² × 3²

b)

2³ × 3³

18.

HCF of 2³ × 3² and 2² × 3³ is :

a)

2² × 3²

b)

2³ × 3³

19.

Whole numbers are natural numbers together with "zero."

a)

True

b)

False

20.

What is true about irrational numbers?

a)

They are terminating decimals.

b)

They are non-repeating decimals.

c)

They are fractions.

d)

They are natural numbers.

21.

Which of the following statements is always true?

a)

All integers are whole numbers

b)

all rational numbers are integers

c)

some whole numbers are not rational numbers

d)

all whole numbers are integers

22.

Which of the following is NOT a subset of the rational numbers?

a)

Integers

b)

Whole Numbers

c)

Perfect square integers

d)

Irrational numbers

23.

Select all the irrational numbers

a)

$7.\overline{16}$

b)

$\sqrt{7}$

c)

$\pi$

d)

$\frac{4}{3}$

e)

4.1235127...

24.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

a)

¹⁸/₃₃

b)

⁵⁸/₉₉

c)

⁶/₁₁

d)

¹⁹/₃₃

25.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

a)

¹⁴³/₃₃₃

b)

⁴³¹/₉₉₉

c)

⁴⁷/₁₁₁

d)

¹⁴²/₃₃₃

26.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

a)

⁵²¹⁴/₉₉₉₉

b)

¹⁷³⁸/₉₉₉₉

c)

⁵⁷⁹/₁₁₁₁

d)

¹⁷³⁸/₃₃₃₃

27.

What is $0.\overline{9}$ (0.9 recurring) as a fraction (simplify as much as possible [be careful with this one]).

(a)

28.

Emilio borrows $1200 from a bank with 8% simple interest per year. How much will he have to pay back total in 2 years?

a)

$150

b)

$192

c)

$1350

d)

$1392

29.

Jacob borrows $500 from Abraham and agrees to have the loan compounded annually for 5 years with an interest rate of 2.5%. How much will the total amount be that Jacob owes?

a)

$565.70

b)

$262609.38

c)

$65.70

d)

$630.20

30.

Daniel invests $360 in a bank account that is compounded annually for 8 years with an interest rate of 5.5%. What will be the total amount in the account after the 8 years is over?

a)

$625.88

b)

$950.12

c)

$315.45

d)

$552.49

31.

Prices are reduced by 27% in a sale at SuperMart. Georgia buys a TV, saving £75.60 on the original price. Calculate the original price

a)

103.56

b)

£280

c)

£2.80

d)

None of these

32.

After a 6.5% pay rise an engineer’s salary is £36,700. What was the salary before the increase?

a)

£34460.09

b)

£2385.50

c)

£34314.50

d)

£39251.34

33.

$d\ =\ vt\ +\ \frac{1}{2\ }at^2$

Solve for the formula of: a

a)

$a\ =\ \frac{\left(d-\frac{1}{2\ }vt^2\right)}{t}$

b)

$a\ =\ \frac{2\left(d-vt\right)}{t^2}$

c)

$a\ =\ \frac{\left(d\ -\ vt\right)}{2\ }t^2$

d)

none of the above

34.

How else can you write $\sqrt{x}$ ?

a)

$x^{\frac{1}{2}}$

b)

$x^2$

c)

$x^{-2}$

d)

$x^{\frac{1}{4}}$

35.

How else could you write $4^{-2}$ ?

a)

$16$

b)

$-16$

c)

$-\frac{1}{16}$

d)

$\frac{1}{16}$

36.

4^-½=

a)

2

b)

-2

c)

½

d)

-½

37.

\frac{2}{x^3}=?

a)

$2x^3$

b)

$2x^{-3}$

c)

$8x^3$

d)

$8x^{-3}$

38.

a)

b)

c)

d)

39.

$^4\sqrt{3^5}$ is equal to

a)

$3^{\frac{4}{5}}$

b)

$3^{\frac{5}{4}}$

c)

$3^{\frac{1}{5}}$

d)

$3^{\frac{1}{4}}$

40.

$\left(^9\sqrt{a}\right)^7$ is equal to

a)

$\left(\frac{7}{9}\right)^a$

b)

$a^{\frac{7}{9}}$

c)

$\left(\frac{9}{7}\right)^a$

d)

$a^{\frac{9}{7}}$

41.

The number 43.4 has been rounded to the nearest tenth. Find its lower and upper bounds.

a)

42 ≤ 43 < 44

b)

43.3 ≤ 43.4 < 43.4

c)

43.35  ≤ 43.4  < 43.45

42.

The number 60 has been rounded to 1 significant figure. Find its lower and upper bounds.

a)

55< 60 < 65

b)

55.25 ≤ 60 < 65.25

c)

55  ≤ 60  < 65

43.

The following number has been rounded to the nearest 5 metres.

125m

Find the upper bound...

a)

125.5m

b)

127.5m

c)

122.5m

d)

125.05m

44.

If $A\ =\ \frac{B}{C}$ what is the maximum value of A, if B is 100m correct to the nearest 5 m and C is 10 m correct to the nearest meter?

(Give your final answer in 2 decimal places)

(a)

45.

The diagram shows a quadrilateral. The lengths of the sides are given to the nearest centimetre.

Calculate the upper bound of the perimeter of the quadrilateral.

(a)

46.

Factorise the expression:

x² + 5x - 24

a)

(x + 8)(x - 3)

b)

(x + 3)(x - 8)

c)

(x + 6)(x - 4)

d)

(x + 4)(x - 6)

47.

3x²- 75

a)

3( x + 5 ) ( x - 5 )

b)

Prime

c)

( x + 5 ) ( x - 5 )

d)

3( x - 5 ) ( x - 5 )

48.

The general quadratic expression:

$ax^2+bx+c$

is a MONIC quadratic when:

a)

$a=1$

b)

$b=1$

c)

$c=1$

d)

$a\ne1$

e)

$b\ne1$

49.

Factor:

6x² + 5x − 6

a)

6(x + 1)(x − 6)

b)

(6x + 6)(x − 1)

c)

(2x − 3)(3x + 2)

d)

(3x − 2)(2x + 3)

50.

Divide and Simplify

a)

A

b)

B

c)

C

d)

D

51.

Simplify.

a)

(m+6)/(m-3)

b)

7/(m-3)

c)

7(m+6)

d)

(m-3)

52.

Simplify by cancelling

a)

1

b)

-1

c)

Can't be simplified

53.

a)

A

b)

B

c)

C

d)

D

54.

Simplify:

\frac{7}{3x}+\frac{5}{2x}

a)

$\frac{12}{5x}$

b)

$\frac{29}{6x}$

c)

$\frac{12}{3x}$

d)

$\frac{12}{6x}$

55.

Which graph represents an inverse proportion relationship?

a)

b)

c)

d)

G9 - IGCSE Maths Retrieval practice

Total questions: 55

Worksheet time: 2hrs 41mins

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