Edexcel IGCSE Maths B Paper 1 November 2024 question paper 4MB1/01

Factorise fully 28ab + 21b

A pattern is made with white squares and shaded squares.

Shade one more square to make a pattern with rotational symmetry of order 2

Here is a different pattern made from white squares and shaded squares.

Shade one more square to make a pattern with exactly one line of symmetry.

Using ruler and compasses only and showing all your construction lines, construct the perpendicular bisector of AB

The bearing of Port A from Port B is 276

Find the bearing of Port B from Port A

A 2^x 3² 7⁴

B 2² 3⁵ 5 7^y

Given that x 2 and y 4

find the highest common factor (HCF) of A and B

A biased dice has six faces numbered 1, 2, 3, 4, 5 and 6

The table below shows information about the probability that, when the dice is thrown once, it will land on each of the numbers.

The dice is thrown 300 times.

Calculate the expected number of times the dice will land on a number greater than 3

8 3kg of onions cost £1.71

2 kg of onions and 5 kg of potatoes cost £5.34

Calculate the total cost, in £, of 3kg of onions and 4kg of potatoes.

The diagram shows a solid cuboid ABCDEFGH

EH = 12 cm GH = 5.5 cm BG = 6 cm

Calculate the total surface area, in cm², of the cuboid.

The straight line L₁ is drawn on the grid.

The straight line L₂ is parallel to L₁ and passes through the point with coordinates 9,12

Find an equation for L₂

Give your answer in the form y mx c

Calculate 2 3. 10¹¹⁴ 4 6. 10¹¹⁷

Give your answer in standard form.

A, B, C and D are numbers such that

A: B 2: 5

A: D 3:8

B: C 9:11

Find C: D

Give your answer in its simplest form.

The diagram shows quadrilateral ABCD where B and C are on horizontal ground and BA and CD are vertical.

BC = 12.2 metres AB = 1.7 metres ABC BCD 90

The angle of elevation of D from A is 32

Calculate the length, in metres to 3 significant figures, of CD

Write as a single fraction in its simplest form

A team takes part in a sports league.

After 12 games its mean score per game is 96

After 14 games its mean score per game is 98

The ratio of its score in game 13 to its score in game 14 is 2: 3

Calculate its score in game 14

In the diagram, BGE is an isosceles triangle with EG = BG

ABC, DEF and EGH are straight lines.

ABC is parallel to DEF

DEB 113 BGH 94

Find the size, in degrees, of CBG

Give a reason for each stage of your working.

At the start of 2012, Fatima bought a car for $15 500

From the start of 2012 to the start of 2014, the value of the car decreased by 8% From the start of 2014 to the start of 2016, the value of the car decreased by 2.2% From the start of 2016 to the start of 2018, the value of the car decreased by x %

At the start of 2018, the value of the car was $13 137.40

Calculate, to 2 significant figures, the value of x

Find AB

Find C⁻¹

In the diagram A, B, C and E are points on a circle with centre O DEF is the tangent to the circle at the point E

BA BC OAE 27 CED 61

Find the size, in degrees, of BCE

v² u² 2as

v 25 4. to 1 decimal place

u 9 512. to 4 significant figures

s 15 to the nearest 5

Calculate the upper bound, to 3 significant figures, of a

Show your working clearly.

On the number line, represent the inequality 5 y 3

Solve the inequality 4x 2 37 2x

Use the factor theorem to show that x 5 is a factor of 2x³ 9x² 11x 30

Hence, factorise completely 2x³ 9x² 11x 30

Show clear algebraic working.

The probability that Lethna takes the bus to work on Monday is 0.32

If Lethna takes the bus on Monday, the probability that she takes the bus on Tuesday is 0.47

If Lethna does not take the bus on Monday, the probability she will not take the bus on Tuesday is 0.71

Complete the tree diagram for this information.

Monday Tuesday

E is the event that Lethna takes the bus on exactly one of either Monday or Tuesday. F is the event that Lethna does not take the bus on Monday and does not take the bus on Tuesday.

Find which of the events, E or F, has the greater probability.

Show your working clearly.

The diagram shows part of the curve C with equation y 3x² 16x 35 and part of the line L with equation 2y 11x 110

P and Q are the points of intersection of C and L

R is the point on the x-axis such that PR is parallel to the y-axis.

Show that the area of triangle PQR is 442.75 cm²

You must show clear algebraic working.

The diagram shows a solid pyramid P with vertices A, B, C and D

ACD is the horizontal triangular base of P

E is the point on AC such that AE = AC

AC 15.5 cm CD 8.2 cm AED 90

Calculate, in cm to 3 significant figures, the length of ED

The solid pyramid T is mathematically similar to P

The area of the triangular base of T is 64.9cm²

Given that vertex B is vertically above point E and EBD 71

calculate, in cm³ to 3 significant figures, the volume of T

A curve with equation y 9x² 16x 5 is drawn on a grid where 1 unit 1cm on each axis.

P and Q are two points on the curve.

P is the point with coordinates 1,2

The gradient of the tangent to the curve at Q is 6.5

Find the length, in cm to 3 significant figures, of PQ

You must show clear algebraic working.