4024/21 · Oct/Nov 2025
Download PDF52 27 49 From the list, write down
a square number
a cube number
a factor of 26
an irrational number.
Insert one set of brackets to make the calculation correct.
Insert one set of brackets to make the calculation correct.
In this question, all lengths are in centimetres. The diagram shows the net of a cuboid.
Find the total surface area of the cuboid.
Write down the number of planes of symmetry of the cuboid.
The table shows the examination marks for mathematics and physics for each of 9 students.
Complete the scatter diagram. The first 6 points have been plotted for you.
On the grid, draw a line of best fit.
Xavier scored 75 marks in the physics exam but was absent for the mathematics exam. Use your line of best fit to find an estimate of his mathematics mark.
The diagram shows an isosceles triangle.
Work out the value of x.
Work out the value of y.
Work out. Give your answer correct to 2 decimal places.
Work out the size of the interior angle of a regular decagon.
John invests $240 in an account that pays simple interest at a rate of 2.35% per year. Calculate the total amount of interest he receives at the end of 5 years.
The exchange rate between euros (€) and pounds (£) is €1 = £0.88 . The exchange rate between dollars ($) and pounds (£) is $1 = £x. Ling changes €500 into dollars. She receives $536.58 . Work out the value of x.
Here are the first four patterns in a sequence using dots.
Complete the table. Pattern number: 1, 2, 3, 4, 5 Number of dots: 5, 9, 13
Find an expression for the number of dots in Pattern n.
Nada needs 1105 dots to make Pattern p. Find the value of p.
A is the point (-4, 3) and B is the point (2, -7). Find .
Find the coordinates of the midpoint of the line AB.
Find .
Write 0.0142 in standard form.
The numbers in the calculation are written in standard form. Find the value of x and the value of y.
Solve the simultaneous equations. You must show all your working. 2a + 5b = 1.5 3a - 10b = 42.5
The population of a country increases exponentially at a rate of 3.6% per year. On 1st January 2024 the population of the country is 5.4 million. Calculate the number of complete years it will take for the population to reach 8 million.
n is a positive integer greater than 2. Find the highest common factor (HCF) of x and y. Write your answer as the product of prime factors in terms of n.
A is the point (3, -2) and B is the point (5, 4).
Find the equation of the line AB. Give your answer in the form y = mx + c.
Write down the gradient of a line that is perpendicular to the line AB.
The table shows the times taken by 80 people to complete a race.
Calculate an estimate of the mean time taken to complete the race.
Two of the 80 people are selected at random. Find the probability that one takes 30 minutes or less and the other takes more than 60 minutes to complete the race.
Write as a single fraction in its simplest form.
A car travels 320 km, correct to the nearest 10 kilometres. This journey takes 5.2 hours, correct to the nearest 0.1 hour. Calculate the lower bound for the average speed of the car.
The diagram shows a triangular field, ABC. AB , AC and angle CAB .
Show that BC , correct to 1 decimal place.
Calculate angle ABC.
Calculate the shortest distance from A to BC.
Rearrange the formula to make a the subject.
Sketch the graph of y = 2 - 3x.
Write 2x^2 - 4x - 3 in the form a(x - b)^2 + c.
Sketch the graph of y = 2x^2 - 4x - 3. On your sketch, label the y-intercept and the coordinates of the turning point.
Solve.
Expand and simplify. (x - 1)(x + 3)(3x - 4)
The diagram shows a cuboid. EH , HG and GC .
Show that CE , correct to 1 decimal place.
Calculate the angle between the line CE and the base EFGH.