Eduqas GCSE Maths Component 1F Foundation June 2024 question paper

Write down the value of 2 in the number 1·27.

Write 32 928 correct to the nearest 1000.

Write down the value of 8².

Calculate 20 + 4 ÷ 4.

Calculate 0·4 + 0·21.

Write these numbers in order of size. Start with the smallest number.

5 –7 3·2 –7·5

_{........ ........ ........ ........} Smallest Largest

Write the following inequality in words.

Lewis has a bag containing 10 coloured counters.

He chooses one counter from the bag at random.

There is an even chance that Lewis chooses a blue counter.

How many blue counters are there in his bag?

It is impossible for Lewis to choose a red counter.

How many red counters are there in his bag?

It is unlikely that Lewis chooses a yellow counter.

What is the smallest number of yellow counters that Lewis could have in his bag?

Calculate 70% of 50.

Kelly is planning a family trip to the zoo.

The 2 adults and 3 children will all travel in the same car. Each person will need an entrance ticket and lunch.

The costs for the trip are:

Petrol £40

Tickets to the zoo
£15 per adult £10 per child

Lunch £12 per adult £7 per child

Kelly has £180 to spend on the trip. She pays for the petrol, the tickets and the lunches.

How much money will she have left?

Kelly has_{………........ ………} left.

Last year, 10% of visitors to the zoo bought a bag of animal feed.

This year the zoo expects 650 000 visitors.

How many bags of animal feed do they expect to sell this year?

Circle the expression that is the same as ‘4 more than y ’.

Calculate the value of –8x when x = –3.

On the grid, plot the point B (5, –2).

ABC is a triangle with a right-angle at C.

Plot the position of the point C.

Find the coordinates of the midpoint of the line AB.

Coordinates of the midpoint of line AB are (_........ ,_........ )

David has 6 cards.

Each card has a letter on it.

Which letter is the mode?

One of the cards is chosen at random.

Write down the ratio of the number of cards with a letter A to the number of cards with a

letter B.

A: B =_........ :_........

In each of the spaces below, write a term to make the statement correct.

Solve each of the following equations.

6x = 48

Twowheels is a bike hire company. Customers can hire bikes from Twowheels for a whole number of days.

The company uses the following formula to calculate its hire costs. Bike hire cost = £20 + £15 × number of hire days Tom wants to hire a bike from Twowheels. He has £150 to spend.

What is the greatest number of days for which Tom can hire a bike?

Tom can hire a bike for_{……........ ………} days

The conversion graph below can be used to convert between acres and hectares.

Use the graph to answer the following questions.

How many acres are equal to 4·5 hectares?

Complete the following statement.

You must show all your working.

26 acres is equal to_........ hectares.

Here is part of a train timetable between London Paddington and Bristol Parkway.

Darren catches the 19:48 train from London Paddington to Bristol Parkway.

How many minutes should his train journey take?

Jennifer lives in London. She went to an event in Swindon.

Jennifer left her house at 6:10 p.m. It took her 10 minutes to get to London Paddington station. She then took the next train to Swindon. This train arrived in Swindon on time. It then took her 12 minutes to get to the event.

The event started at 7:45 p.m. How many minutes late did Jennifer arrive at the event?

You must show your working.

Jennifer arrived_{……….…........ ……} minutes late

Lisa, Flynn and Jane each have a number of marbles.

Jane has 8 marbles.

Jane has half as many marbles as Flynn. Flynn has 4 times as many marbles as Lisa.

Write the numbers of marbles they each have as a ratio.

Give your answer in its simplest form.

Lisa: Flynn: Jane =_{………........ ………}:_{………........ ………}:_{………........ ………}

Siân is trying to write 2 m to 30 cm as a ratio in its simplest form. Here is her working.

Explain why Siân’s answer is not correct.

Reflect the triangle T in the line y = 2.

Suzanne drives from Liverpool to Hull. She drives at an average speed of 52 miles per hour for 2 hours.

Calculate the distance that Suzanne travels.

Suzanne travels_{………........ ……..} miles

Suzanne planned her journey using a map. The map has a scale of 1:200 000.

On the map, the distance between two roundabouts measures 3 cm.

What is the actual distance in kilometres?

The actual distance is_{………........ ……..} km

Factorise 3 a + 7 ab.

Make w the subject of the formula y = 5w − 4.

In the diagram below, BE is a straight line.

Show that x = 150º.

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

Calculate 0·4 ÷ 0·01.

Calculate each of the following. Give your answers in their simplest form.

Write down five positive whole numbers in the boxes below such that the numbers have:

• a range of 5 and • a mean of 4 and

• a median of 3.

Robin makes the two cubes below from centimetre cubes.

Sarah uses all of Robin’s centimetre cubes to make a single cuboid.

Each of the dimensions of Sarah’s cuboid will be greater than one centimetre.

Give the dimensions of a cuboid that Sarah could make.

You must show all your working.

Given that 3·4 × 7·8 = 26·52, write down the answer to each of the following:

34×78

Write 2475 as a product of its prime factors in index form.

Write down the square root of 64×5⁴ ×7⁴.

Give your answer as a product of prime factors in index form.

Pippa and Joe are working on a school project.

The project is based on the use of the local leisure facilities.

Explain why the mean is not the best average to use for this data.

Give one other reason why Joe’s results may not be reliable.

An empty water tank is filled using a hose with a steady rate of flow.

The tank takes: • 30 minutes to fill if water is added at x litres/min • 40 minutes to fill if the water is added at (x − 2) litres/min. Form an equation in terms of x.

Solve the equation and hence find the capacity of the tank in litres.

Three friends, Louis, Krystal and Jamal win some money in a competition.

They share the money in the ratio 3: 7: 11.

What fraction of the total money won is given to Jamal?

Jamal spends £45 of the money he won. He now has exactly twice as much as Louis won.

How much money did Krystal win?

6 printers take 36 minutes to print a number of identical booklets. How long will it take 9 printers to print half as many of these booklets?

You may assume that all printers print at the same rate.

The price of an item in a sale has been reduced by 25%.

If the sale price is £54, what was the original price of the item?

Percentage change can be calculated using multipliers.

A number is decreased by 33% of its value.

Circle the multiplier that would find the value after this decrease.

0∙67 –1∙33 –0∙67 0∙33 0∙77

A number is increased by 6% of its value. This is done 3 times, each time increasing the previous value by 6%.

Circle the multiplier that would find the value after the 3 increases.

Use an algebraic method to calculate how much Nina pays for 4 apples and 2 bananas.

Give your answer in standard form.

Give your answer in standard form.