Eduqas GCSE Maths Component 1F Foundation June 2025 question paper

Work out 6 + 3 × 4.

Write down the value of the 5 in the number 23 542.

Write down all the factors of 20.

Estimate the value of 6·8 × 103·12.

David is rounding whole numbers correct to the nearest 10. He says,

“Apart from 750, there are eight whole numbers that round to 750.”

Is David correct?

Explain your reasoning.

Michelle has 195 counters.

Alex has 241 counters.

Alex gives some counters to Michelle so that they both have the same number of counters.

How many counters does Alex give to Michelle?

Alex gives Michelle_{……........ …….} counters.

Kali has a bag containing 20 marbles. She chooses one marble from the bag at random.

It is impossible for Kali to choose a blue marble.

How many blue marbles are there in Kali’s bag?

It is likely that Kali chooses a red marble.

What is the greatest number of red marbles there could be in Kali’s bag?

William has a box containing 40 counters. 20 of the counters are purple, 12 of the counters are black, and the remaining counters are green.

A counter is taken at random from the bag. William says that there is an even chance of choosing a purple counter.

Kali says that William cannot be correct because there are 3 different colours of counter in the bag.

Who is correct?

Explain your reasoning.

Lauren has some pens in a drawer.

A pen is selected at random from the drawer. The table shows the probability of choosing a blue pen, a black pen or a red pen.

Explain how you know that the drawer must contain pens that are not blue, black or red.

You must show all your working.

Write 9% as a decimal.

Which of the following fractions is nearer in value to ?

You must show all your working.

Measure and write down the size of angle BAC.

Shade the smallest number of squares to make AB a line of symmetry.

How much is each monthly payment?

The diagram below shows a number machine.

When the INPUT is 70, what is the OUTPUT?

When the OUTPUT is 42, what is the INPUT?

A different number machine is shown below.

When the INPUT is 60, the OUTPUT is 20.

Find the value of x.

Simplify 2 a + 6 b + a – 2 b.

Solve 9 + w = 25.

Find the value of 2x + 5y when x = –4 and y = 10.

Jordan has n strawberries. He eats 3 of them.

Write down, in terms of n, the total number of strawberries Jordan has left.

On Saturday, Evie plans to spend: • of the day watching television,

• 3 hours in the gym.

Evie has homework which will take four hours to complete.

Show that Evie will have enough time to complete her homework.

Evie goes to the gym again on Sunday. She draws a bar chart to show the amount of time she spent on each of three of the exercise machines in the gym. Time spent on exercise machines at the gym

Write one criticism of her bar chart.

Nasir writes down four whole numbers.

The mode of the four numbers is 8. The median of the four numbers is 7. The range of the four numbers is 5.

Write Nasir’s four numbers in the boxes below.

Point A and point B are shown in the scale drawing below.

Scale: 1 cm represents 8 km

Use your scale drawing to find: • the actual length of AB, in kilometres

• the bearing of point B from point A.

Point C is 48 km from point B on a bearing of 240°.

Complete the scale drawing to show the position of point C.

Point D is due east of point B.

What is the three-figure bearing of point D from point B?

At what time should Liya’s tram arrive at Windy Alley?

You must show all your working.

Liya’s tram should arrive at Windy Alley at_........

Express 27 as a fraction of 12.

Write your answer in its simplest form.

Using only the numbers in the list below,

1 2 3 5 8 10 16 20 24 100 200

write down

the smallest prime number

a cube number

the square root of 400.

Sam is organising a game.

He has a bag containing 20 balls that are numbered from 1 to 20.

A player selects one ball at random from the bag. Sam records the number on the ball and puts it back into the bag.

Sam charges players £1.50 to play the game once. Each player who chooses a ball with the number 14 or higher wins £3. 80 people play the game once.

How much profit does Sam expect to make?

You must show all your working.

Sarah drove from her home to her friend’s house.

Here is a travel graph for her journey.

Distance from home (miles)

Sarah stopped at a cafe on her way to her friend’s house.

How many minutes did it take Sarah to drive to the cafe?

Sarah stayed at her friend’s house for 90 minutes. She then drove home at a steady speed without stopping. She arrived home at 13:15.

Complete the travel graph.

Calculate the average speed for the journey home from her friend’s house.

Average speed =_........ miles per hour

Share £480 in the ratio 7: 5.

Express 42 as a percentage of 300.

Malakai’s dog eats of a tin of food each day.

What is the least number of tins Malakai needs to feed his dog for 7 days?

You must show all your working.

Malakai’s dog has 15% black fur. The rest of its fur is white.

Write the proportion of black fur to the proportion of white fur as a ratio in its simplest

form.

The table below shows some of the values of y = 3 x + 2 for values of x from –2 to 3.

Complete the table by finding the values of y for x = –2, x = 1 and x = 3.

On the graph paper below, draw the graph of y = 3x + 2 for values of x from –2 to 3.

Tom, Molly and Peter work in a restaurant.

Customers give them tips if they receive good service. The tips they are each given are collected in a single jar. At the end of each week, the tips in the jar are shared in the ratio of hours they worked that week.

One week, they work the following hours: • Tom works for 7 hours • Molly works for 8 hours • Peter works for 10 hours.

Peter says,

Show that Peter is correct.

At the end of a different week, there is £70 in the jar.

Peter works half as many hours as Tom. Molly works twice as many hours as Tom.

How much should Molly receive?

Molly should receive £_{…………........ …………}

A quarter of a circle has been cut from a rectangular card.

Calculate the perimeter of the remaining piece of card.

Give your answer in the form aπ + b.

Perimeter of the remaining piece of card is_{…………........ …………} cm

Given that 3^m+4 = 1, find the value of m.

Betty bought c cakes costing £2 each and d doughnuts costing £1.50 each. She paid with a twenty pound note and was given some change.

Write an inequality to show this information.

The shape below is a triangular prism with CD = 7 cm.

The cross-section of the prism is a right-angled triangle where AB = 6 cm and AC = 10 cm.

Calculate the total surface area of the triangular prism.

The total surface area of the triangular prism is_{…………........ …………} cm²

Last week, 142 pupils in Year 7 were given English homework and French homework.

10 pupils did not complete either homework. Each expression in the following Venn diagram represents the number of pupils that completed at least one homework.

Calculate the value of x.

One pupil is chosen at random from the group.

What is the probability that this pupil completed only the French homework?

The probability that a pupil completed only the French homework is_{…………........ …………}

Calculate the value of the reciprocal of 0∙4. Give your answer as a decimal.

A cuboid rests on a horizontal floor.

The cuboid exerts a force of 6∙2 newtons on the floor. The pressure of this cuboid on the floor is 0∙05 N/cm².

The base of the cuboid in contact with the floor has a width of 8 cm.

Calculate the length of the base of the cuboid.

Work out the value of 5^–32 ÷ 5^–35.

It takes 5 workers a total of 24 hours to build a wall 180 m long.

The workers have enough materials left over to build a further 300 m of the same wall.

How long will it take 8 workers to build this 300 m of wall?

It will take 8 workers_{…………........ …………} hours to build 300 m of wall.

What assumption have you made in answering part (a)?

If your assumption is not correct, what effect would this have on your answer to

part (a)?