Eduqas GCSE Maths Component 1F Foundation November 2024 question paper

What number must be added to 268 to make 415?

Work out 16×6.

Work out 5×3 + 4 ÷2.

One day Phoebe recorded the number of hours of sunshine in some cities in England.

The pictogram below shows some of her results.

There were 10 hours of sunshine in London.

Complete the key for the pictogram.

How many more hours of sunshine did Liverpool have than Newcastle?

There were 7 hours of sunshine in Southampton.

Complete the pictogram.

The recommended time taken to cook a turkey is given by the following formula.

Time = 20 minutes per kilogram + 90 minutes

Calculate the time taken to cook an 8 kg turkey.

Time taken =_{……........ ……………} minutes

Write as a fraction in its simplest form.

Draw a line parallel to AB, through the point C.

Draw a line perpendicular to AB, through the point D.

Nicola thinks that an angle of 190° is an obtuse angle.

Explain why Nicola is incorrect.

Here is part of a train timetable.

How many minutes should the train journey from Brilfax to Drago take?

Carley lives in Ashby. She works Monday to Friday in an office in Elderville. Every morning she catches the 08:19 train from Ashby.

Last week the train left Ashby on time each morning. The train was late arriving at Elderville on Monday but arrived on time on the other four days. For the week, the total train journey time to work was 5 hours and 6 minutes.

How many minutes late was the train when it arrived at Elderville on Monday?

The train was_{…........ ………} minutes late on Monday

Lewis buys the following items:

• 3 bottles of milk costing £1.50 each • 1 loaf of bread costing £1.40 • 2 blocks of butter.

Lewis pays with a £10 note and is given 60p change. How much does each block of butter cost?

You must show all your working.

Each block of butter costs_{…........ ………}

Adrian works in a factory.

His normal rate of pay is £14 per hour.

Adrian usually works 22 hours per week and overtime if needed. Any overtime hours are paid at a rate of 1 times his normal rate of pay.

One week Adrian worked for 28 hours.

Calculate Adrian’s pay for this week.

The following week, Adrian’s normal rate of pay increased. He worked for 22 hours and was paid £330.

Show that Adrian’s rate of pay increased by less than 10%.

Solve 6 x − 3 = 27.

Simplify 2w×2w×3w.

One day Nick spent k minutes on his mobile phone. Ellie spent 10 minutes less than Nick on her mobile phone.

Write an expression, in terms of k, for the number of minutes that Ellie spent on

her mobile phone.

A dress costs t pounds.

Write an expression, in terms of t, for the cost of the dress in pence.

What was Oliver’s average speed between 13:00 and 15:00?

Give an explanation for the shape of the graph between 17:00 and 18:00.

Between which two times was Oliver cycling at the greatest speed?

Oliver started the final part of his cycle ride at 18:00. He cycled 20 miles at an average speed of 8 mph.

Draw this part of the cycle ride on the distance-time graph.

Is Teddy’s answer correct?

Yes No

Explain why.

Calculate 5³ + 5².

Write down the number that is both a factor of 16 and a prime number.

Given that 78×132 =10 296, write down the answer to 10 296 ÷780.

Ledina goes to Brown Abbey School. It is a secondary school with 1500 pupils.

Ledina wants to carry out a survey to find out pupils’ views of the school uniform. She plans to ask 10 pupils in Year 7.

Give two criticisms of Ledina’s plan.

What percentage of each training session does Harry spend practising passing?

Harry borrows £80 to pay for a new pair of football boots. Simple interest is charged at 5% per month on the money he borrowed.

Harry does not make any repayments.

After how many months will he owe £120?

The points Y and Z are shown on the scale drawing below.

Point X is 200 m from point Y on a bearing of 150°. Plot point X on the scale drawing below.

Give the bearing of point X from point Z.

There are between 30 and 40 marbles in a bag. Amy and Beatrice share the marbles in the ratio 1: 8. There are no marbles left in the bag.

How many marbles does Amy have?

Amy has_{…........ ………} marbles

Chloe and Davina have a different bag of marbles. They share their marbles in the ratio 3: 5. Davina gets 30 more marbles than Chloe.

How many marbles do they each get?

Chloe gets_{…........ ………} marbles

Davina gets_{…........ ………} marbles

Kristoff is a baker.

He is baking bread. The flour that he needs is sold in bags of two different sizes: • Large bags contain 2·5 kg. • Small bags contain 1·5 kg.

Diagram not drawn to scale

30 of the large bags contain exactly the quantity of flour that Kristoff needs. The local supplier only has the small bags in stock.

Kristoff buys exactly the quantity of flour he needs in small bags. How much more will he pay than if he bought the same quantity in large bags?

You must show all your working.

Kristoff will pay_{…........ ………} more.

In the diagram below, ABC is an isosceles triangle and DA is a straight line.

Show that x = 255.

You must give a reason for each step of your answer.

A bag contains some coloured counters.

Some are red, some are yellow, some are orange and the rest are green.

One counter is selected at random from the bag.

The probability of selecting: • a yellow counter is twice the probability of selecting an orange counter • a green counter is three times the probability of selecting a yellow counter.

Write down the ratio of the number of yellow counters to the number of orange counters

to the number of green counters.

yellow counters: orange counters: green counters =_........ :_........ :_........

The probability of selecting a red counter is 0·46.

What is the probability of selecting a green counter?

You must show all your working.

Expand and simplify 3 (5 a − 2) − 7 (a − 4).

Show that the triangle below is not isosceles.

You must use an algebraic method and not trial and improvement.

Calculate an estimate of the mean time for these 50 deliveries.

Calculate an estimate of the percentage of these deliveries that took 25 minutes or

more.

Simplify the following ratio,

Sura is making a cake. The main ingredients are flour, sugar and dried fruit. She uses these ingredients with their masses in the ratio 5: 3: 7.

What fraction of the main ingredients is the mass of the dried fruit?

The combined mass of the flour and sugar is 560 g.

What is the mass of the dried fruit?

Hannah and Imran often play badminton and tennis matches against each other.

The probability that Hannah wins a badminton match is The probability that Hannah wins both a badminton match and a tennis match is One Saturday, Hannah and Imran play one badminton match and one tennis match. The outcomes of the matches are independent.

Complete the tree diagram below.

Calculate the probability that Hannah wins exactly one match.

Is it possible to draw an isosceles triangle with an exterior angle of 60º?

Tick the appropriate box and show working to explain your reason.

Yes No

Two triangles are shown in the diagram below.

Show that the two triangles are mathematically similar.