January 2019 · Paper 1R (4MB1/01R) (Edexcel IGCSE Maths): Exam Questions

Express 15 centimetres as a percentage of 3 metres.

%

A

B

The diagram shows shape A and shape B.

Write down,

the number of lines of symmetry of shape A,

A

B

The diagram shows shape A and shape B.

Write down,

the order of rotational symmetry of shape B.

The bearing of ship P from ship Q is 057°

Find the bearing of ship Q from ship P.

°

B =

3

5

3

3

−

−

Calculate 3A + 2B

Without using a calculator and showing all your working, evaluate

2 1

4 × 2 2

3

Give your answer in its simplest form.

Given that y = 7x2 − 3

x

find d

y

d

x

d

y

x =

d

Here are the first 4 terms of a sequence.

4096 −1024 256 −64

Write down the next 2 terms of the sequence.

,

Explain how you found your answer.

Ying has 4 black counters and 3 white counters.

There is a number on each counter.

The mean of the numbers on the black counters is 11.5

The mean of the numbers on the white counters is 9

Calculate the mean, to 3 significant figures, of the numbers on all 7 counters.

Find the largest integer value of x such that 17 − 2x ≥ 4(x – 5)

Show clear algebraic working.

A regular polygon has n sides.

Each interior angle of the regular polygon is 135° greater than each exterior angle of

the polygon.

Find the value of n.

n =

A piece of ribbon 9 metres long is cut into 3 parts in the ratios 3 : 5 : 7 by length.

Calculate the length, in metres, of the longest piece.

m

Write 9.6 × 10−7 as an ordinary number.

Calculate 2 4

.

10

×

199

9 6

.

10

×

7

−

Give your answer in standard form.

Without using a calculator and showing all your working, express

$\sqrt{605} - \sqrt{80}$

in the form $\sqrt{n}$ where $n$ is an integer.

Solve the equation

5x2 = 7 − 9x

Give your solutions to 3 significant figures.

Show your working clearly.

A

D

B

C

The diagram shows quadrilateral ABCD.

The point P lies inside the quadrilateral, such that P is 5.5 cm from C and equidistant

from AD and AB.

Using ruler and compasses only and showing all your construction lines, show the point

P on the diagram.

t varies inversely as the square of a where a > 0

t = 14 when a = 5

Calculate the value of a when t = 224

a =

The diagram shows two similar jugs.

The height of jug A is 20 cm and the height of jug B is 6 cm.

Given that volume of jug A − volume of jug B = 1459.5 cm³, calculate the volume, in cm³, of jug B.

E = {positive integers from 1 to 15 inclusive}

A = {multiples of 3}

B = {even numbers}

Find A ∪ B

Find A ∩ B

Find n([A ∩ B]′)

The set C has 8 elements and B ∩ C = ∅

Write down the elements of set C.

Solve the simultaneous equations

10x + 2y = 17

15x − 3y = 39

x =

, y =

The coordinates of point A are (7, 2) and the coordinates of point B are (−5, y).

→ is 13

The modulus of the vector AB

Calculate the possible values of y.

y =

The straight line joining the points with coordinates (−a, −22) and (3a, 38)

has equation y = mx + a

Calculate the value of a and the value of m.

a =

m =

A

Diagram NOT

accurately drawn

D

C

B

E

In the diagram ACE and BCD are straight lines such that the point C is the midpoint of BD.

AB is parallel to DE.

Prove that the triangles ABC and EDC are congruent.

A right circular cone has a curved surface area of 136 $\pi$ cm²

The radius of the base of the cone is 8 cm

The volume of the cone is k $\pi$ cm³

Find the value of k.

k =

Solve 3

1

−

−

=

2

9

5

5

x

x

x

−

2

Show clear algebraic working.

x =

There are 20 counters in a bag.

There are 7 red counters.

The rest of the counters are green or white.

Bernard takes at random 2 counters from the bag.

The probability that Bernard will take 2 white counters is 1

19

Calculate the probability that Bernard will take 1 green counter and 1 white counter.

The table below gives information about the lengths of time that 50 people have been

waiting for a train.

Find the modal class.

The table below gives information about the lengths of time that 50 people have been

waiting for a train.

Find the class interval that contains the median waiting time.

The table below gives information about the lengths of time that 50 people have been

waiting for a train.

Calculate an estimate for the mean waiting time.

minutes

B

(2x − 5) cm

30°

(x + 5) cm

A

C

The diagram shows  ABC in which

AB = (2x − 5) cm BC = (x + 5) cm Ð ABC = 30°

The area of  ABC is 15.75 cm²

Calculate the length, in cm to 3 significant figures, of AC.

cm

Factorise fully 15x3 y − 20x2 y2

2

Simplify fully (

27

)

x

6

3

18

x

3

Given that (x − 2) is a factor of 2x3 + 3x2 + kx − 6

find the value of k.

k =