Eduqas GCSE Maths Component 1F Foundation June 2023 question paper

(a) Calculate each of the following.

(a)

(a)(i)

7000 ÷ 10

[1]

Answer

(a)(ii)

65 × 1000

[1]

Answer

(a)(iii)

9 –14

[1]

Answer

(b)

Complete this sum.

_{........ …} + 121 = 200

[1]

Answer

(c)

Complete each statement with a number from the box.

(c)(i)

_{........ …} is a prime number.

[1]

Answer

(c)(ii)

_{........ …} is a multiple of 12.

[1]

Answer

(c)(iii)

_{........ …} is a square number.

[1]

Answer

(d)

Write 0·4 as a fraction in its simplest form.

[2]

Answer

(a)

(a)(i)

Circle the best expression for the chance that it will snow in the UK in July.

Impossible Unlikely Even chance Likely Certain

[1]

Answer

(a)(ii)

A dish contains equal numbers of green grapes and black grapes. Pedro takes one grape at random from the dish.

Circle the best expression for the chance that Pedro takes a green grape.

Impossible Unlikely Even chance Likely Certain

[1]

Answer

(b)

One letter is chosen at random from the 9-letter word AUSTRALIA.

(b)(i)

[1]

Answer

(b)(ii)

[1]

Answer

The diagram is drawn on a 1 cm square grid. It shows the location of some places in a town.

(a)

Write down the coordinates of the shop.

Shop (_{........ …},_{........ …})

[1]

Answer

(b)

There is a bus stop (B) half-way between the café and the pool.

Mark the position of the bus stop on the diagram.

[1]

Answer

(c)

The scale of the diagram is 1 cm represents 50 m. There is a straight path from the school to the pool.

How long is the actual path?

Give your answer in metres.

[2]

Answer

(a) Joanie is choosing what to wear. She chooses from the following options.

(a)

(a)(i)

Complete the table to show all the different choices that Joanie has.

The first two have been completed for you.

[2]

Answer

(a)(ii)

Joanie is equally likely to choose any of the possible options.

What is the probability that she chooses grey trousers, a red top and yellow

trainers?

[1]

Answer

(b)

(b)(i)

Joanie jogs to the park. She leaves home at 09:43 and arrives at the park at 10:18.

How many minutes does it take Joanie to jog to the park?

[2]

Answer

(b)(ii)

Joanie then walks 1·2 km to her friend’s house. This takes 15 minutes.

What is Joanie’s average walking speed?

Give your answer in kilometres per hour.

[2]

Answer

(b)(iii)

Joanie travels home by taxi.

She is charged £2 per kilometre. She pays a total of £10 which includes a £1 tip.

How many kilometres is Joanie’s house from her friend’s house?

[2]

Answer

(a)

Write down a decimal that is between 61% and 62%.

[1]

Answer

(b)

[3]

Answer

(a)

A small tub contains n nails. A large tub contains three times as many nails as a small tub.

Find an expression for the total number of nails in 2 small tubs and 1 large tub.

Simplify your answer.

[2]

Answer

(b)

Each nail weighs 4·5 grams.

How much do 200 nails weigh?

Give your answer in kilograms.

[2]

Answer

(a)

[2]

Answer

(b)

The radius of a circle is 8 cm.

(b)(i)

Write down the diameter of this circle.

[1]

Answer

(b)(ii)

Write the ratio of the length of the radius to the length of the diameter.

Give the ratio in its simplest form.

radius: diameter =_{........ …}:_{........ …}

[1]

Answer

(a)

Calculate 7 × 5².

[2]

Answer

(b)

Put one pair of brackets in each calculation to make it correct.

(b)(i)

4 maths symbol 3 1 6 14

[1]

Answer

(b)(ii)

$Question 8, shown as an image$

[1]

Answer

Walter, Anna and Maggie all work in the same factory.

(a)

Walter works for 3 hours and earns £42.

Calculate how much Walter is paid for each hour.

[2]

Answer

(b)

One week, Anna works for 8 hours and earns £120. The next week, Anna works for 12 hours.

How much does Anna earn for this week?

[2]

Answer

(c)

Maggie earns £18 for each hour that she works. She is given a 2% pay rise.

By how much does the amount she is paid for each hour increase?

[2]

Answer

The table shows some of the values of y maths symbol 3x for –2 x 2.

x	–2	–1	0	1	2
y 3x				3	6

(a)

Complete the table.

[2]

Answer

(b)

On the grid, draw the graph of y maths symbol 3x for –2 x 2.

[2]

Answer

(a)

The cost of a games console was £342 plus 20% VAT.

What was the cost of this games console including VAT?

[3]

Answer

(b)

Andy bought a tablet computer from EduTech and paid the deposit and 6 equal monthly payments of £57.

How much was Andy’s deposit?

[3]

Answer

David is shopping in a supermarket.

(a)

David sees this information label on the shelf.

He tells the supermarket manager that this information is wrong.

Explain why David is correct.

[1]

Answer

(b)

[3]

Answer

(a) Calculate each of the following.

(a)

(a)(i)

12·1 − 1·36

[2]

Answer

(a)(ii)

0·6 × 0·4

[1]

Answer

(a)(iii)

$Question 13, shown as an image$

[2]

Answer

(b)

56 × 1·565 = 87·64

Use this to complete the following statement.

$Question 13, shown as an image$

[2]

Answer

Neil makes jewellery. Last year he sold all the necklaces he made for a total of £10 800.

(a)

He made necklaces for 48 weeks and sold them all for £9 each.

How many necklaces did Neil make each week?

You may assume he made the same number of necklaces each week.

[4]

Answer

(b)

Neil also makes rings. Last year, for 246 days, he made one ring each day. He sold all these rings for £54 each.

How much more did Neil receive last year from selling rings than he did from selling

necklaces?

Neil received £_{........ …} more

[4]

Answer

Marcie is carrying out a survey.

She wants to find out how often the people in her town use the local theatre.

Marcie decides to survey only the 15 people at a meeting of her local drama group.

Is this a reasonable plan?

Yes No

Give two reasons to support your answer.

[2]

Answer

Viola is arranging some paving slabs to make a path all around a rectangular pond.

Some of the slabs are grey and some are white. There are no gaps between the slabs and no gaps between the slabs and the edge of the pond. The diagram shows how she positions her first three slabs.

The ratio of grey slabs: white slabs is 3: 1.

The pond is 2·5 metres by 3·5 metres. Each slab is a square with side 50 centimetres.

A grey slab costs £5 and a white slab costs £6.

How much does it cost Viola to make her path?

[6]

Answer

The bearing of Q from P is 140°.

Find the bearing of P from Q.

[2]

Answer

The lengths of the three sides of a triangle are in the ratio 3: 5: 7.

(a)

What fraction of the perimeter is the longest side of this triangle?

[1]

Answer

(b)

The perimeter of this triangle is 60 cm.

Find the length of each of the three sides of this triangle.

[2]

Answer

The n th term of a sequence is given by 2 n + 9.

(a)

Work out the difference between consecutive terms.

[2]

Answer

(b)

(b)(i)

Solve 2n maths symbol 9 99.

[2]

Answer

(b)(ii)

Write down the number of terms of this sequence that are less than 99.

[1]

Answer

James has been on holiday to the USA and is flying home to the UK.

The price of a gift in a shop at the airport is $65. The price of the same gift online is €60 including delivery.

On the day of his flight, the exchange rates were as follows.

£0.80 = $1 £1 = €1.20

Is it cheaper to buy the gift at the airport or online?

Airport Online

Show how you decide.

[4]

Answer

The diagram shows a quadrilateral.

Use algebra to find the size of the exterior angle y.

[5]

Answer

(a)

Use the diagram to solve the following simultaneous equations.

Give your answers correct to 1 decimal place.

[2]

Answer

(b)

The diagram shows the curve y maths symbol x² 2x 8.

(b)(i)

Write down the y-intercept of the curve.

[1]

Answer

(b)(ii)

Find the coordinates of the turning point of the curve.

[2]

Answer

(b)(iii)

Use the diagram to solve x² maths symbol 2x 8 0.

[1]

Answer

[3]

Answer

The diagram shows a fair spinner. Eve spins it twice.

What is the probability that the spinner lands on red both times?

[2]

Answer

The table shows some information about the cost per person to take a boat across a river.

The Jones family of 4 adults and 1 child pay £9.50 to take the boat. The Patel family of 5 adults and 2 children pay £13 to take the boat.

The Lee family has 3 adults and 2 children.

How much does the Lee family pay to take the boat?

You must use an algebraic method and show all your working.

The Lee family pays_........

[5]

Answer

Eduqas C300 · Component 1F

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21

Question 22

Question 23

Question 24

Question 25