All Questions: Cambridge IGCSE Mathematics - International - 0607 - Core Paper 1 2022 Summer Zone 1
Theory
MCQ
01.
Theory 1 Marks
CH5 - Geometry

Write down the mathematical name for this shape.

02.
Theory 1 Marks
CH1 - Number

Change 21 days into weeks.
............................. weeks [1]

03.
Theory 1 Marks
CH10 - Probability

In a shop, there are 3 red roses, 5 white roses and 4 yellow roses. Milo chooses a rose at random.
Which colour of rose is he most likely to choose?

04.
Theory 2 Marks
CH1 - Number

A carton contains 1 litre of juice. The juice is poured into glasses. A full glass holds 300 ml of juice. Complete the statement.
There are ............... full glasses and ............... ml of juice left.

05.
Theory 1 Marks
CH1 - Number

Write down the value of $\sqrt{121}$.

06.
Theory 1 Marks
CH1 - Number

Find $\frac{3}{5}$ of 30.

07.
Theory 2 Marks
CH1 - Number

The table shows the favourite sports of 80 students.

[Table_1]

Complete the table.

08.
Theory 1 Marks
CH5 - Geometry

Measure angle $x$.
$x =$ ext{.............................} [1]

09.
Theory 1 Marks
CH1 - Number

Complete this statement.

$\frac{1}{25} = \frac{\text{\fbox{}}}{100} = \text{\fbox{}}\%$

10.
Theory 1 Marks
CH3 - Functions

Complete the mapping diagram.


11.
Theory 1 Marks
CH1 - Number

Three packets of sweets cost 60 cents.
Work out the cost of four packets of these sweets.
............................................. cents [1]

12.
Theory 2 Marks
CH1 - Number

Work out.
$$(5 - 7) \times (1 - 4)$$

13.
Theory 2 Marks
CH1 - Number

Work out.
\( \frac{3}{7} \times \frac{5}{9} \)
Give your answer as a fraction in its lowest terms.

14.
Theory 2 Marks
CH1 - Number

The value of a car is $3000.
At the end of one year the value of the car has reduced by 25%.

Work out the value of the car at the end of one year.
$ \text{.....................................} \ [2]

15.
Theory 2 Marks
CH3 - Functions

This is the graph of $y = x^2 - 6x$.

On the grid, draw the line of symmetry. [1]
Write down the equation of this line of symmetry. [1]


16.
Theory 2 Marks
CH2 - Algebra

Factorise fully.

$8xy - 4x$

17.
Theory 2 Marks
CH10 - Probability

The probability that a bus is not late is always 0.9. Heather uses the bus 20 times. Work out how many times the bus is expected to arrive late.

18.
Theory 2 Marks
CH5 - Geometry

Work out the value of $x$.
[Image_1: Triangle with angles $x^\circ$, $3x^\circ$, and $20^\circ$ labeled, NOT TO SCALE]

19.
Theory 2 Marks
CH1 - Number

Write the ratio $360 : 200 : 120$ in its simplest form.
................ : ................ : ................ [2]

20.
Theory 3 Marks
CH2 - Algebra

Solve the simultaneous equations.

$$\begin{align} 5x + 2y &= 30 \\ 3x + 4y &= 32 \end{align}$$

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

21.
Theory 2 Marks
CH2 - Algebra

Write as a single fraction.
$$\frac{x}{2} - \frac{y}{3}$$

22.
Theory 4 Marks
CH9 - Sets

There are 112 books on a bookshelf.

84 are paperback books $(P)$.
59 are fiction books $(F)$.
37 of the paperback books are fiction books.

(a) Complete the Venn diagram.



[2]

(b) Find $n(P \cup F)'$. ..................................................... [1]

(c) What type of books are represented by $(P \cup F)'$?
............................................................................................................................... [1]

23.
Theory 2 Marks
CH2 - Algebra

$9^{-5} \div 9^{-3} = 9^{k}$
(a) Find the value of $k$.
$k = \text{..........................}$ [1]
(b) Using your answer to part (a), write $9^{k}$ as a fraction. [1]