Edexcel Mathematics Grade 4 - Official End of Grade 4 Test

Sep 5, 2026

Official End of Grade 4 test paper for Edexcel Mathematics Grade 4, requiring all questions to be answered in the provided spaces and all working to be shown. Students use a ruler, pencil, rubber, and an appropriate scientific calculator. The assessment covers number and arithmetic tasks such as HCF/LCM, inequalities and number-line representation, sequence terms, algebraic expansion and simplifying expressions, geometry angle reasoning, areas, cylinder surface area, and volume problems. It also includes bearings, probability, and interest calculations.

LanguageEnglish

CategoryExam

FormatPDF

Pages13

Reading Time33 min

AccessFree to download

Question 1

(a) Highest Common Factor

(b) Lowest Common Multiple

Question 2

(a) Solve an inequality

(b) Represent on a number line

Question 3

(a) Find Michael’s age

(b) Find Riley’s age using a ratio

Question 4

Find angles in a quadrilateral

Question 5

Arithmetic sequence: nth term and membership

Question 6

Simple and compound interest over 7 years

Question 7

Expand and simplify expressions

Question 8

Model house volume from composite shapes

Question 9

Simplify algebraic surds

Question 10

Area of a trapezium

Question 11

Angles with parallel lines and isosceles right triangle

Question 12

Total surface area of a cylinder

Question 13

Accurate drawing of a trapezium

Question 14

Plan and front elevation of a solid

Question 15

Ship bearings and plotting position

Question 16

Painting cost from cylinder tank surface area

Question 17

Probability and number of sweets by flavor

Name: Date: Official End of Grade 4 Test GCSE Edexcel Mathematics Grade 4 Materials For this paper you must have: Ruler Pencil and Rubber Scientific calculator, which you are expected to use when appropriate Instructions Answer all questions Answer questions in the space provided All working must be shown Information The marks for the questions are shown in brackets | 1 (a) Work out the Highest Common Factor (HCF) of 98 and 84. | | | | | | --- | --- | --- | --- | --- | | (2)
(b) Work out the Lowest Common Multiple (LCM) of 56 and 42. | | | | | | (2)
(Total for question 1 is 4 marks) | | | | | | | | | | | | 2 (a) Solve the inequality −9􀀣 + 4 ≤ −68
(2)
(b) Represent the inequality on a number line.

2 3 4 5 6 7 8 9 10 11 12
(1)
(Total for question 2 is 3 marks) | | | | | | | | | | | | 3 Jack, Michael, Tom and Jamie are part of a math club.
Jack is three times as old as Tom.
Michael is 4 years older than Jamie.
Jamie’s age is three-quarters of Tom’s age.
Jack is 36 years old.
(a) What is Michael’s age?
Riley wants to join the club.
The ratio of Riley’s age to Tom’s age is 3 : 2
(b) What is Riley’s age? | (2) | | | | | --- | --- | --- | --- | --- | | (2)
(Total for question 3 is 4 marks) | | | | | | | | | | | | | | | | | | 4 Shape ABCD is a quadrilateral with angles a, b, c, d.
b is 50º less than double angle a.
c is 20º more than angleb.
d is 20º more than angle a.
Work out the value of a, b, c and d.
a =
b = c = d =
(Total for question 4 is 4 marks) | | | | | | | | | | | | 5 The first five terms in an arithmetic sequence are:
−1 −5 −9 −13 −17
(a) Find the nth term of this sequence.
(b) Is 245 a term in this sequence? (2) You must show all your working.
...............................
(2)
(Total for question 5 is 4 marks) | | | | | --- | --- | --- | --- | | | | | | | | | | | | 6 Jake is investing $5000 in a bank which offers:
5% simple interest per annum for the first 2 years, followed by
2.5% compound interest per annum for every year after that.
Jake wants to invest his money over 7 years.
What is the profit Jake will make when the bank returns his money after 7 years?
(Total for question 6 is 4 marks) | | | | | | | | | | 7 Expand and simplify the following expressions.
(a) 2x(3x + 5y)
(b) 4(2y − 5x + x) ...............................
(2)
(c) (x + 6)(x − 2) (2)
(2)
(Total for question 7 is 6 marks) | | | | | --- | --- | --- | --- | | | | | | | 8

D
A
C
B
20 m
George is designing a model house.
Shape ABCD is modelled as a square. Height of triangle CDE = 5 metres.
Find the total volume of the George’s model house.

E
5 m

25 m | | | | | m3
(Total for question 8 is 3 marks) | | | | S | 9 Simplify:
(a) 3􀝔 2 × 4􀝔 −2
(b) 10􀯣 3 􀯤 (1) 2􀯤−3􀯣 5
...............................
(1)
(c) 􀝀 2 ÷ (􀝀 −2)3
...............................
(2)
(Total for question 9 is 4 marks) | Leave
blank | | | | --- | --- | --- | --- | | | | | | | 10 A trapezium ABCD is shown. Find the area of the trapezium.
5 cm

A
B
C
D

3 cm 10 cm
cm2
(Total for question 10 is 4 marks) | | | | | | | | | | | | | | | 11 | | Leave
blank | | | | --- | --- | --- | --- | --- | | In the diagram AB is parallel to DC.
AC and BD intersect at E.
Triangle ADE is right-angled and isosceles with AD = DE.
Angle ABD = 25º .
Find x.
°
x =
(Total for question 11 is 3 marks) | | | | | | | | | | | | 12 The diagram shows a cylinder with diameter 12 cm and height 20 cm. Find the total surface area of the cylinder.
20 cm

12 cm
2
cm
(Total for question 12 is 3 marks) | | | | | | | | | | | | 13 | 4.8 cm

5.5 cm

9.5 cm
Ma

FAQs

What equipment is required for this test paper?

You must have a ruler, pencil and rubber, and a scientific calculator expected to be used when appropriate.

How should answers be presented?

Answer all questions, write responses in the space provided, and show all working.

What topics are included in the questions?

The paper includes HCF/LCM, inequalities, arithmetic sequences, interest calculations, algebraic expansion and simplification, geometry angle/area/volume, bearings, probability, and surface area of a cylinder.

Sep 5, 2026

Upload by WPS_1786070896