All Questions: Cambridge IGCSE Mathematics - International - 0607 - Core Paper 1 2019 Summer Zone 3
Theory
MCQ
01.
Theory 1 Marks
CH1 - Number

Ola gives her grandson $3 each month.
Work out how much her grandson receives in 1 year.
$ ext{.................................} [1]

02.
Theory 1 Marks
CH4 - Coordinate geometry

Write down the co-ordinates of point $A$.
(\text{.....................} , \text{.....................})

03.
Theory 2 Marks
CH1 - Number

From the list of numbers write down
(a) the prime number, ......................................................... [1]
(b) a square number. ....................................................... [1]
15, 17, 21, 25, 36, 38

04.
Theory 2 Marks
CH5 - Geometry

ABCD is a quadrilateral.

Write down the mathematical name
(a) for this quadrilateral, ............................... [1]
(b) for triangle ABD. ......................................... [1]

05.
Theory 2 Marks
CH1 - Number

To use his mobile phone, Paul is charged
12 cents for each minute plus $20 monthly line rental.
One month Paul used his mobile phone for 30 minutes.
Find the total charge for this month.
$ ....................................................

06.
Theory 1 Marks
CH5 - Geometry

Complete the statement.
The diagram has rotational symmetry of order ....................


07.
Theory 1 Marks
CH11 - Statistics

Write down which of the following data is discrete.

A The weight of a child.
B The number of eggs in a basket.
C The time it takes to bake a cake.

08.
Theory 2 Marks
CH3 - Functions

Complete the mapping diagram.

09.
Theory 2 Marks
CH1 - Number

Use one of the following symbols >, < or = to make each statement correct.

1 \text{ ................ } 20 \div (5 - 3)
2 + 3 \times 3 \text{ ................ } 11

10.
Theory 4 Marks
CH11 - Statistics

200 people were asked to choose their favourite type of restaurant.
The results are shown in the pie chart.
[Image_1: Pie chart showing Indian 16%, Chinese 22%, Mexican, and Italian 37%]
(a) Find the sector angle for Mexican restaurants.
................................................ [2]
(b) How many of the 200 people chose Chinese restaurants?
................................................ [2]

11.
Theory 2 Marks
CH8 - Trigonometry

Find the bearing of point $B$ from point $A$.


12.
Theory 1 Marks
CH2 - Algebra

Solve \( \frac{1}{2}x = 5 \).
\( x = \text{.................................} \) \([1]\)

13.
Theory 1 Marks
CH1 - Number

Change 12 310 cm$^2$ into m$^2$.
......................... m$^2$ [1]

14.
Theory 2 Marks
CH1 - Number

Adil and Serena share a prize in the ratio Adil : Serena = 3 : 7.
Adil receives $60.
Work out how much Serena receives.
$ \text{...............................} [2]

15.
Theory 2 Marks
CH1 - Number

James buys a bottle of cola for 40 cents. He then sells it for 50 cents.
Work out his percentage profit.

16.
Theory 1 Marks
CH7 - Mensuration

A circle has radius 5 cm.
Find the area of the circle giving your answer in terms of $\pi$. ............................................. cm$^2$ [1]

17.
Theory 2 Marks
CH4 - Coordinate geometry

Find the equation of the line that is parallel to the y-axis and passes through the point (3, 0).

18.
Theory 2 Marks
CH2 - Algebra

Here are the first five terms in a sequence.

-1 \ 5 \ 11 \ 17 \ 23

Find the $n^{th}$ term.

19.
Theory 1 Marks
CH8 - Trigonometry


Put a ring around the correct expression for the distance $x$.

20 tan 47°   20 sin 47°   20 cos 47°

20.
Theory 2 Marks
CH10 - Probability

Yan and Ahmed play two games. The probability that Yan wins a game is $\frac{1}{4}$.
[Image_1: Tree Diagram]
Work out the probability that Yan wins exactly one game.

21.
Theory 2 Marks
CH2 - Algebra

Solve the simultaneous equations.
$$3x + y = 4$$
$$2x - y = 6$$
x = \text{.................................}
y = \text{.................................}

22.
Theory 3 Marks
CH11 - Statistics

The diagram shows a cumulative frequency curve for the heights of 50 students.
Estimate
(a) the median height, ............................................. cm [1]
(b) the inter-quartile range. ............................................. cm [2]

23.
Theory 1 Marks
CH3 - Functions

The graph of $y = x^3$ is translated by the vector $\begin{pmatrix} 0 \\ -3 \end{pmatrix}$. Write down the equation of the new graph.
$y =$ \text{...............................} \; [1]