All Questions: Cambridge IGCSE Mathematics - International - 0607 - Core Paper 1 2015 Summer Zone 2
Theory
MCQ
01.
Theory 2 Marks
CH1 - Number

Work out.

(a) 23 - 6 \times 3

Answer(a) ......................................................... [1]

(b) 8 \div (32 \div 4)

Answer(b) ......................................................... [1]

02.
Theory 2 Marks
CH1 - Number

Write down the five factors of 16.
Answer...................................................

03.
Theory 2 Marks
CH1 - Number

Joe buys a magazine for $1.50 and a drink for $2.35.
How much change does Joe get from $5?

04.
Theory 3 Marks
CH2 - Algebra

(a) Write down the next fraction in this sequence.
$$\frac{1}{2}, \frac{1}{5}, \frac{1}{8}, \frac{1}{11}, \frac{1}{14}, \ldots$$
Answer(a) ............................................... [1]

(b) The $n$th term of a sequence is $n^2 - 3$.

Find the first three terms of this sequence.

Answer(b) ............... , ............... , ............... [2]

05.
Theory 5 Marks
CH11 - Statistics

In the last ten football matches, West Port FC scored the following numbers of goals.

2 5 1 1 4 7 1 3 1 4

Find
(a) the range,
Answer(a) ................................................ [1]

(b) the median,
Answer(b) ................................................ [2]

(c) the mean.
Answer(c) ................................................ [2]

06.
Theory 4 Marks
CH5 - Geometry

(a)

The diagram shows a triangle with one side extended.

Work out the size of angle $p$.

Answer (a) ............................................................
[2]

(b)

Work out the size of angle $q$.
Give a reason for your answer.

Answer (b) $q = ...................................$ because .....................................................................................
..............................................................................................................................................
[2]

07.
Theory 1 Marks
CH1 - Number

Change 5.6 square centimetres into square millimetres.

Answer ......................................................... $\text{mm}^2$ [1]

08.
Theory 2 Marks
CH1 - Number

Write the following numbers in standard form.

(a) 346

Answer(a) .......................................... [1]

(b) 0.00216

Answer(b) .......................................... [1]

09.
Theory 2 Marks
CH1 - Number

Estimate the answer to the following calculation by rounding each number to 1 significant figure. Show all your working.

$$\frac{19.4 + 32.96}{0.472}$$

Answer ..........................................................

10.
Theory 2 Marks
CH6 - Vectors and transformations

Draw the enlargement of the pentagon, centre $P$, scale factor 3.


11.
Theory 1 Marks
CH2 - Algebra

Peter is $x$ years old.
Jane is 4 years older than Peter.
Write down an expression, in terms of $x$, for Jane’s age.

12.
Theory 2 Marks
CH2 - Algebra

Make $r$ the subject of this formula.

$$A = 4 \pi r^2$$

Answer $r = \text{.....................}$

13.
Theory 3 Marks
CH2 - Algebra

Solve the following simultaneous equations.

\(6x + 10y = 26\)
\(2x + 5y = 12\)

\text{Answer} \ x = \text{..................................................}
\ y = \text{..................................................}

14.
Theory 4 Marks
CH4 - Coordinate geometry

(a) On the grid, plot the points $A(-3, 3)$ and $B(5, -3)$.
(b) Find the gradient of the line $AB$. Answer(b) ................................. [2]

15.
Theory 3 Marks
CH10 - Probability

A biased coin is spun two times. The probability of the coin showing a head is $\frac{1}{5}$.
(a) Complete the tree diagram.

(b) Find the probability of the coin showing a head both times. Answer(b) \text{.......................................................... }$[2]$

16.
Theory 2 Marks
CH4 - Coordinate geometry

Write down the letter of the diagram that shows
(a) $y = -x - 1$,
Answer(a) ............................................................ [1]
(b) $y = 2x + 1$.
Answer(b) ............................................................ [1]