All Questions: Cambridge IGCSE Mathematics - International - 0607 - Core Paper 1 2018 Summer Zone 3
Theory
MCQ
01.
Theory 1 Marks
CH1 - Number

Write 0.37 as a percentage.
............................................................ \% [1]

02.
Theory 1 Marks
CH1 - Number

Write down the next square number after 36.

03.
Theory 1 Marks
CH1 - Number

Change 5 years into months. ....................... months [1]

04.
Theory 1 Marks
CH1 - Number

Change 260 centimetres into metres. ............... metres \ [1\]

05.
Theory 3 Marks
CH1 - Number

The distance-time graph shows Sammy's journey from Geneva to Berne and back to Geneva.

(a) How far from Geneva was Sammy at 11 00?

............................................... km [1]

(b) Sammy stays for 1 \(\frac{1}{2}\) hours in Berne.
He then returns to Geneva.

(i) How long did the journey from Berne to Geneva take?

............................................... hours [1]

(ii) Find the average speed of this journey.

............................................... km/h [1]



06.
Theory 1 Marks
CH5 - Geometry

On the grid, shade two squares to give the diagram rotational symmetry of order 4.

07.
Theory 1 Marks
CH5 - Geometry

A polygon has 8 sides. Write down the mathematical name for this shape.

08.
Theory 1 Marks
CH5 - Geometry

Complete the statement.

An angle that is more than 90° but is less than 180° is called ...............................

09.
Theory 2 Marks
CH4 - Coordinate geometry

The diagram shows a line $L$ drawn on a grid.
(a) On the grid, draw the line $x = 3$. [1]
(b) Write down the co-ordinates where the line $L$ and the line $x = 3$ intersect.
(......................, ......................) [1]

10.
Theory 1 Marks
CH4 - Coordinate geometry

Find the distance between the points $(-3, 4)$ and $(5, 4)$.

11.
Theory 1 Marks
CH3 - Functions

Complete the mapping diagram. (1, 3, 6, 11, 14) -> (6, 8, 11, 16, ........)

12.
Theory 1 Marks
CH2 - Algebra

Write down the next term of this sequence.

5, \ 9, \ 13, \ 17, \ldots \text{..............................} \ [1]

13.
Theory 2 Marks
CH2 - Algebra

Find an expression for the nth term of this sequence.
4, 7, 10, 13, 16, ...

14.
Theory 2 Marks
CH11 - Statistics

[Image_1: Pie chart with sections for Boys and Girls, with the Boys section marked as 120°]
The pie chart represents 60 students. Work out how many of the students are boys.

15.
Theory 2 Marks
CH5 - Geometry

The diagram shows an isosceles triangle.
The image shows a triangle with angles: $x^\circ$, $x^\circ$, and $148^\circ$.
Find the value of $x$.
$x = \text{..........................}$

16.
Theory 2 Marks
CH8 - Trigonometry

(a) Measure the angle marked $x$.


(b) Write down the bearing of $Q$ from $P$.
$x = \text{......................................................}$ [1]
...................................................................... [1]

17.
Theory 1 Marks
CH1 - Number

Find the highest common factor (HCF) of 54 and 72.

18.
Theory 2 Marks
CH1 - Number

Work out $(3 \times 10^6) \times (4 \times 10^4)$.
Write your answer in standard form.

19.
Theory 3 Marks
CH6 - Vectors and transformations

Describe fully the \textit{single} transformation that maps shape $A$ onto shape $B$.

20.
Theory 2 Marks
CH6 - Vectors and transformations

A is the point (4, 9) and B is the point (1, 3).
Find \( \overrightarrow{AB} \).
\[ \overrightarrow{AB} = \begin{pmatrix} \hphantom{0} \end{pmatrix} \] [2]

21.
Theory 3 Marks
CH10 - Probability

A bag contains red, blue and green beads only.
There are 40 beads in the bag.
One bead is chosen at random.

The probability that the bead is red is $\frac{1}{8}$.

The probability that the bead is blue is $\frac{5}{8}$.

(a) Find the probability that the bead is green. ............................................................... [2]

(b) Work out the number of blue beads in the bag. .......................................................... [1]

22.
Theory 2 Marks
CH2 - Algebra

Write down an expression, in terms of $x$ and $y$, for the total cost of $x$ pens at 25 cents each and $y$ pens at 45 cents each. ................................... cents

23.
Theory 4 Marks
CH2 - Algebra

Solve the simultaneous equations.
$$3x + 2y = 21$$
$$4x - 5y = 5$$
$$x = ext{.....................}$$
$$y = ext{.........................................}$$