All Questions: Cambridge IGCSE Mathematics - International - 0607 - Advanced Paper 2 2018 Summer Zone 2
Theory
MCQ
01.
Theory 1 Marks
CH5 - Geometry

A quadrilateral has exactly one pair of parallel sides.
Write down the mathematical name for this quadrilateral.

02.
Theory 1 Marks
CH5 - Geometry

AB is a straight line.
Find the value of $x$.



$x = \text{.........................}$

03.
Theory 1 Marks
CH10 - Probability

A bag contains 2 blue balls, 3 red balls and 5 green balls only.
One ball is chosen at random.
Find the probability that this ball is red.

04.
Theory 1 Marks
CH1 - Number

Write down a prime number between 60 and 70.

05.
Theory 2 Marks
CH2 - Algebra

Solve.
\(7x + 9 = 5x + 17\)
\(x = \text{.....................}\) [2]

06.
Theory 2 Marks
CH1 - Number

Write 36 as a product of prime factors.

07.
Theory 2 Marks
CH2 - Algebra

Solve.
$3x + 7 < 1$

08.
Theory 2 Marks
CH4 - Coordinate geometry

Point $A$ has co-ordinates $(2, 12)$. Point $B$ has co-ordinates $(4, 2)$.
Find the co-ordinates of the midpoint of $AB$.

09.
Theory 3 Marks
CH1 - Number

Work out.
$$4\frac{2}{5} - 1\frac{2}{3}$$

10.
Theory 2 Marks
CH11 - Statistics

Use the cumulative frequency curve to estimate the inter-quartile range.

11.
Theory 3 Marks
CH2 - Algebra

Here are the first four terms of a sequence.
13    9    5    1

(a) Write down the next term.
....................................................... [1]

(b) Find an expression, in terms of $n$, for the $n$th term.
....................................................... [2]

12.
Theory 2 Marks
CH2 - Algebra

Simplify. $\sqrt{75} - \sqrt{12} + \sqrt{27}$

13.
Theory 2 Marks
CH9 - Sets

Shade the given sets in each of these diagrams.

$A' \cap B$

$(A' \cup B)'$

14.
Theory 3 Marks
CH4 - Coordinate geometry

Point $A$ has co-ordinates $(2, 3)$. Point $B$ has co-ordinates $(4, 11)$.
Find the equation of the line $AB$.
Give your answer in the form $y = mx + c$.

$y =$ ...................................................... [Image]

15.
Theory 3 Marks
CH2 - Algebra

Expand the brackets and simplify.
$(3x - 5y)(5x - 3y)$

16.
Theory 3 Marks
CH10 - Probability

A factory makes soft centre chocolates and hard centre chocolates only. The probability that a chocolate chosen at random has a hard centre is 0.6. Three chocolates are chosen at random.
Find the probability they are all soft centre chocolates.

17.
Theory 3 Marks
CH2 - Algebra

Factorise.
$4x^2 - 4xy - 3y^2$

18.
Theory 4 Marks
CH2 - Algebra

Write as a single fraction in its simplest form.
$$ \frac{n+1}{n-1} - \frac{n-1}{n+1} $$