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Maths · Eduqas C300 · Component 2F · Foundation · June 2025

Eduqas GCSE Maths Component 2F Foundation June 2025 question paper

Eduqas C300 · Component 2F

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Question 1

(a)

Write twelve million three hundred thousand in figures.

[1]

Answer
Mark scheme for question 1(a)
(b)

Write these numbers in order of size.

Start with the smallest number.

2∙45 2∙07 2∙6 2∙174

………........ ……smallest………........ ……………........ ……………........ ……largest

[1]

Answer
Mark scheme for question 1(b)
(c)

Shade fraction of the regular shape shown below.

Figure for question 1

[1]

Answer
Mark scheme for question 1(c)
(d)

Circle the incorrect statement below.

Question 1, shown as an image

[1]

Answer
Mark scheme for question 1(d)

Question 2

Edugym offers exercise classes and sells drinks and supplements.

The two tables below show some of the costs.

Figure for question 2
(a)

Last week Henry exercised at Edugym. He attended a circuits class and a spin class. He bought a bottle of water and an energy gel.

How much did Henry spend at Edugym last week?

[1]

Answer
Mark scheme for question 2(a)
(b)

After an exercise class, Edugym received £13.23 from the sale of isotonic drinks.

How many isotonic drinks were sold?

[2]

Answer
Mark scheme for question 2(b)
(c)

Edugym offer a pay monthly deal for exercise classes.

Figure for question 2

Jade attends three circuits classes, four bodymax classes and two kettlebells classes a

month.

Should Jade use the pay monthly deal?

Yes No

Give the reason for your answer.

[2]

Answer
Mark scheme for question 2(c)

Question 3

(a)

The grid below shows 6 shapes.

Figure for question 3

Complete the following sentences about the shapes on the grid.

Shape………........ …… has exactly one line of symmetry.

Shape………........ …… has rotational symmetry of order two.

Shapes………........ …… and………........ …… are congruent.

[3]

Answer
Mark scheme for question 3(a)
(b)
(b)(i)

Calculate the value of x.

Figure for question 3

[2]

Answer
Mark scheme for question 3(b)(i)
(b)(ii)

Calculate the value of y.

Figure for question 3

[1]

Answer
Mark scheme for question 3(b)(ii)

Question 4

The grid below shows the map of a park.

Figure for question 4
(a)

Write down the coordinates of the playground.

[1]

Answer
Mark scheme for question 4(a)
(b)

There is a climbing wall at the midpoint between the bus stop and the information centre.

Mark with a cross (×) the position of the climbing wall on the map.

[1]

Answer
Mark scheme for question 4(b)
(c)

The scale on the map is:

Figure for question 4

Caelan walks directly from the picnic area to the toilets in a straight line. He walks back to the picnic area along the same straight line.

How far did Caelan walk altogether?

Give your answer in metres.

[2]

Answer
Mark scheme for question 4(c)

Question 5

Each student in a group was asked to choose their favourite pet.

The pie chart below shows the results.

Figure for question 5
(a)

What fraction of the students chose hamster? Give your answer in its simplest form.

[2]

Answer
Mark scheme for question 5(a)
(b)
Figure for question 5

[3]

Answer
Mark scheme for question 5(b)

Question 6

A rectangle has an area of 42 cm2 and a perimeter of 34 cm.

Calculate the length and width of the rectangle.

[2]

Answer
Mark scheme for question 6

Question 7

Rita writes down two numbers.

Her numbers satisfy the following conditions. • Both numbers are greater than 12. • Both numbers are prime numbers. • The sum of the two numbers is 40.

Which two numbers does Rita write down?

The numbers that Rita writes down are………........ … and………........ …

[2]

Answer
Mark scheme for question 7

Question 8

The table below shows some stationery items and their costs.

Figure for question 8

Assume that: • each pencil costs the same amount • each protractor costs the same amount • each pencil sharpener costs the same amount.

Complete the table below to show the cost of each item.

Figure for question 8

[5]

Answer
Mark scheme for question 8

Question 9

Figure for question 9
(a)

So far this summer, Demitri has 7 wins, 8 draws and 9 losses.

What is his points total for the matches he has played?

[2]

Answer
Mark scheme for question 9(a)
(b)

So far this summer, Greta has a points total of 48. She has won 6 matches and had no losses.

How many matches has she drawn?

[3]

Answer
Mark scheme for question 9(b)

Question 10

The temperature in Nuuk, Greenland was recorded at midday for each of the days Monday to Saturday.

The temperatures, in °C, are listed below.

–9 –8 –4 –5 –1 –8

(a)

What is the mode of these temperatures?

[1]

Answer
Mark scheme for question 10(a)
(b)

What is the median of these temperatures?

[2]

Answer
Mark scheme for question 10(b)
(c)

The temperature at midday on Sunday was recorded. The mean midday temperature for the 7 days was –6 °C.

What was the temperature at midday on Sunday?

The temperature at midday on Sunday was………........ … °C

[2]

Answer
Mark scheme for question 10(c)

Question 11

(a)

Write down the next two terms in the sequence.

Question 11, shown as an image

[2]

Answer
Mark scheme for question 11(a)
(b)

Simplify 16y −3(2y + 7).

[2]

Answer
Mark scheme for question 11(b)
(c)

Factorise 12w −9.

[1]

Answer
Mark scheme for question 11(c)
(d)
Figure for question 11

[2]

Answer
Mark scheme for question 11(d)
(e)
Question 11, shown as an image

She uses the method shown below.

Question 11, shown as an image

Explain why Layla’s method is incorrect.

[1]

Answer
Mark scheme for question 11(e)

Question 12

(a)

Calculate 37% of 650.

[2]

Answer
Mark scheme for question 12(a)
(b)

A piece of elastic is 477 mm long. It can be stretched by fraction of its length before it snaps.

What is the length of the elastic when it snaps?

The length of the elastic when it snaps is........ mm.

[3]

Answer
Mark scheme for question 12(b)
(c)

Write 54 as a percentage of 171.

Give your answer correct to 1 decimal place.

[3]

Answer
Mark scheme for question 12(c)

Question 13

Figure for question 13
(a)

The recipe can be changed to make a large pumpkin pie to serve 12 people. Peter makes a large pumpkin pie.

How many grams of pumpkin does Peter need?

[2]

Answer
Mark scheme for question 13(a)
(b)

Grace made a number of small pumpkin pies for a Halloween party. She used a total of 1·65 litres of double cream to make her pies.

How many small pumpkin pies did Grace make?

[3]

Answer
Mark scheme for question 13(b)

Question 14

Igor invests £2500 in a savings account.

The account pays 5·4% simple interest per year. The interest is added to the account at the end of each year.

After how many years will the amount of money in the savings account be greater than £3500?

You must show all your working.

[5]

Answer
Mark scheme for question 14

Question 15

Figure for question 15

Ahmed buys 1·4 kg of Brazil nuts and 0.8 kg of cashew nuts. He pays a total of £21.84. The cost of 1 kg of Brazil nuts is £9.60.

What is the cost of 1 kg of cashew nuts?

The cost of 1 kg of cashew nuts is........

[4]

Answer
Mark scheme for question 15

Question 16

PQRS is a parallelogram.

U is a point on the line PS. T is a point on the line PR.

Figure for question 16

Show that x = 73°.

Give a reason for each step of your answer.

[4]

Answer
Mark scheme for question 16

Question 17

Use the information below to answer the following questions.

Figure for question 17
(a)

Heidi is travelling to Exeter on the M5 motorway. Motorway signs display the distances in miles.

Figure for question 17

Heidi passes the sign shown above at 5:35 p.m. She intends to travel at an average speed of 80 km/h for the remainder of her journey to Exeter.

At what time does Heidi expect to arrive in Exeter? Give your answer to the nearest minute.

You must show all your working.

Heidi expects to arrive in Exeter at........

[5]

Answer
Mark scheme for question 17(a)
(b)

At the start of the journey, Heidi stopped at a garage to fill her fuel tank with diesel. The cost of diesel was £1.52 per litre. Heidi spent £102.60 on diesel.

How many gallons of diesel did Heidi buy?

Heidi buys........ gallons of diesel.

[3]

Answer
Mark scheme for question 17(b)

Question 18

When selling an apartment, the selling price can be calculated using the price per square metre of floor area.

The scatter diagram shows the price per square metre of 12 apartments and their distance from Educastle city centre. It also shows the line of best fit for the data.

Price per square metre in pounds (£)

Figure for question 18

Distance from Educastle city centre in miles

(a)

Describe the relationship between the price per square metre of an apartment and its

distance from Educastle city centre.

[1]

Answer
Mark scheme for question 18(a)
(b)

Use the line of best fit to estimate the price per square metre of an apartment that is

4 miles from Educastle city centre.

[1]

Answer
Mark scheme for question 18(b)
(c)

Ellie says,

“All apartments 6 miles from Educastle city centre cost £4600 per square metre.”

Is Ellie’s statement correct?

Yes No

Give the reason for your answer.

[1]

Answer
Mark scheme for question 18(c)
(d)

The table below shows information about the house prices of 35 houses on a street outside Educastle city centre.

Price, p, thousand poundsFrequency
100 p 1508
150 p 20012
200 p 2509
250 p 3005
300 p 3501

Calculate an estimate for the mean house price on the street.

[4]

Answer
Mark scheme for question 18(d)

Question 19

Figure for question 19 Figure for question 19

[6]

Answer
Mark scheme for question 19

Question 20

The diagram shows a square inside a circle.

Each corner of the square lies on the circumference of the circle. The length of each side of the square is 13 cm.

Figure for question 20

Calculate the area of the circle. Give your answer correct to 1 decimal place.

You must show all your working.

[5]

Answer
Mark scheme for question 20

Question 21

(a)

Five straight-line graphs and their equations are shown below. Draw a line to connect each graph to its equation.

One has been completed for you.

Figure for question 21

[2]

Answer
Mark scheme for question 21(a)
(b)

Circle the equation of the straight line that is parallel to y = 3x + 5.

Question 21, shown as an image

[1]

Answer
Mark scheme for question 21(b)
(c)

Make y the subject of the following formula.

[2]

Answer
Mark scheme for question 21(c)

Question 22

Yasmin has two bags, Bag A and Bag B.

Each bag contains some red counters and some blue counters.

Bag A contains 2 red counters and 3 blue counters. In Bag B the number of red counters is three times the number of blue counters.

Yasmin randomly chooses one counter from Bag A and then one counter from Bag B.

(a)

Complete the probability tree diagram.

Figure for question 22

[3]

Answer
Mark scheme for question 22(a)
(b)

Calculate the probability that Yasmin chooses at least one blue counter.

[3]

Answer
Mark scheme for question 22(b)

Question 23

(a)
Figure for question 23

Calculate the length of AB.

[3]

Answer
Mark scheme for question 23(a)
(b)
Figure for question 23

[3]

Answer
Mark scheme for question 23(b)

The paper as printed

S25-C300U20-1

S25-C300U20-1A

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