Edexcel GCSE Maths Paper 1: Non-calculator Higher November 2024 question paper 1MA1/1H

Work out 818.4 1.2

The table shows the probabilities that a biased dice will land on 3, on 4, on 5 and on 6

Karim assumes that the probabilities that the dice will land on 1 and on 2 are the same. Karim rolls the biased dice 500 times.

Assuming Karim is right, work out an estimate for the number of times the dice will land on 2

Karim is wrong. The probability that the dice will land on 2 is greater than the probability that the dice will land on 1

How does this information affect your answer to part (a)?

Give your answer as a mixed number.

ABCD is a parallelogram.

All angles are measured in degrees. Find an expression, in terms of e, for the size of angle CAD. Give a reason for each stage of your working.

A car travelled 4.96 miles at an average speed of 30.4 miles per hour.

Work out an estimate for the time taken by the car. Give your answer in minutes.

Is your answer to part (a) an underestimate or an overestimate? Give a reason for your answer.

Here is a pentagon.

Angle a = angle c Angle b = 155° Angle d is three times the size of angle c Angle e is two times the size of angle c Work out the size of angle a

The graph shows the volume of water, V litres, in a tank at time t seconds.

What does the gradient of this graph represent?

The diagram shows a solid triangular prism on a horizontal floor.

The face in contact with the floor is a rectangle of width 2 m. The pressure on the floor due to the prism is 80 newtons/m² The force exerted by the prism on the floor is 720 newtons. Work out the length of the prism.

The cumulative frequency graph gives information about the marks that 60 students got in a test.

For thes e 60 students

On the grid below, draw a box plot for the distribution of the marks.

The pass mark for the test was 40 Sian says, “30% of the 60 students passed the test.”

Is Sian correct? You must show how you get your answer.

Kate was asked to factorise x² + 5x + 6 in the form (x + a)(x + b) Kate says, “The sum of a and b must be 6 and the product of a and b must be 5”

Explain what is wrong with Kate’s statement.

Factorise fully 2m² – 2

Factorise fully ax + bx – ay – by

A, B and C are three solid spheres. Sphere A has a volume of 64 cm³ Sphere B has a volume of 125 cm³ The radius of sphere C is 50% of the radius of sphere B. Work out the ratio of the surface area of sphere A to the surface area of sphere C. Give your answer in the form a: b where a and b are integers.

Here are two cuboids.

All lengths are measured in centimetres. The volume of cuboid A is 142 cm³ greater than the volume of cuboid B. Work out the value of x.

ABC is a triangle.

Work out the length of AB.

OXYZ is a parallelogram.

OY = a and OZ = b M is the point on OY such that OM:MY = 1: 3 N is the point on OZ such that ON: NZ = 1: 2 Work out the ratio XN:MN You must show all your working.

A, B and C are points on a circle, centre O.

CD is a tangent to the circle. Angle BCD = 40° Angle OAB = 3angle OAC Work out the size of angle ACD. Write down any circle theorems that you use.

Find f (x)

For all values of x g(x) = (x – 1)²and h(x) = 1 – 2x

Work out the value of gh(5)

In the s emi-finals of a chess tournament, player A will play player B and player C will play player D. The two winners will then play each other in the final. The probability that player A will win against player B is 0.6 The probability that player A will win against player C is 0.5 The probability that player A will win against player D is 0.3 The probability that player C will win against player D is 0.2 Work out the probability that player A will win the chess tournament.

C is the circle with equation x² + y² = 4 Find an equation of the tangent to C at the point (p, 1) where p 0