All Questions: Cambridge IGCSE Mathematics - International - 0607 - Advanced Paper 2 2018 Summer Zone 1
Theory
MCQ
01.
Theory 2 Marks
CH1 - Number

(a) Work out $5 - 7 \times 2 + 8$.
............................................. [1]
(b) Find $\sqrt[3]{0.001}$.
............................................. [1]

02.
Theory 4 Marks
CH5 - Geometry

(a) Find, by measuring, the size of this reflex angle. .........................................................[1]
(b) Work out the value of $x$.
NOT TO SCALE
$x = ext{............................................................}[1]$
(c) Find the size of one exterior angle of a regular 18-sided polygon. .........................................................[2]

03.
Theory 2 Marks
CH2 - Algebra

Solve these simultaneous equations.

$x - 3y = 7$
$x - 2y = 5$

$x = \text{.................................}$
$y = \text{.................................}$ [2]

04.
Theory 3 Marks
CH1 - Number

(a) Write 0.68 as a fraction in its lowest terms.
........................................................ [1]
(b) Work out $\frac{3}{7} \cdot \frac{8}{9}$.
........................................................ [2]

05.
Theory 2 Marks
CH2 - Algebra

These are the first five terms of a sequence.
1 \quad 0 \quad 1 \quad 4 \quad 9

Find the $n^{th}$ term of this sequence.

06.
Theory 4 Marks
CH2 - Algebra

(a) Expand and simplify.

$(2p - 7q)(p + q)$ ..................................................[2]

(b) Factorise.

$2 - t - 2a + at$ ....................................................................[2]

07.
Theory 2 Marks
CH5 - Geometry

O is the centre of the circle.
Find the value of $x$ and the value of $y$.


$x = \text{.............................}$
$y = \text{.......................................[2]}$

08.
Theory 2 Marks
CH2 - Algebra

y varies inversely as x^2. When x = 3, y = 4.
Find y in terms of x.
y = \text{.......................................} [2]

09.
Theory 3 Marks
CH2 - Algebra

(a) Find the value of $27^{\frac{2}{3}}$. [1]
(b) Simplify $18h^{18} \div 3h^{3}$. [2]

10.
Theory 2 Marks
CH2 - Algebra

Given the equation $v^2 = u^2 - 2as$, find $s$ in terms of $a$, $u$, and $v$.

$s = \text{.....................................................} \,[2]$

11.
Theory 2 Marks
CH9 - Sets

In each Venn diagram, shade the region indicated.
[Image_1: (A \cup B)^']
[Image_2: (P \cup Q) \cap R]

12.
Theory 3 Marks
CH2 - Algebra

(a) Simplify fully.
$\sqrt{700}$ ...............................................................[1]
(b) Rationalise the denominator.
$\frac{1}{7-\sqrt{2}}$ ...........................................................[2]

13.
Theory 3 Marks
CH2 - Algebra

Simplify fully. $$\frac{3t - t^2}{9 - t^2}$$

14.
Theory 3 Marks
CH3 - Functions

(a) Write down the value of $\log_{9}3$.
.................................................. [1]
(b) $2 \log 2 + \log 11 = \log x$.
Find the value of $x$.
$x = \text{..................................................}$ [2]

15.
Theory 3 Marks
CH7 - Mensuration

The length of the arc $AB = \frac{4\pi}{3}$ cm.
The area of the sector $OAB$ is $k\pi \text{ cm}^2$.
Find the value of $k$.

k = ..................... [3]