Eduqas GCSE Maths Component 2F Foundation November 2023 question paper

The table below shows the costs to post letters and parcels.

	Cost of posting
	1st class	2nd class
Small letter	95p	68p
Large letter	£1.45	£1.05
Parcel	£4.45	£3.35

Use costs from the table to answer the following.

(a)

Maria posts one 2nd class small letter and one 1st class parcel.

What is the total cost of posting these two items?

[2]

Answer

(b)

How much less does it cost to post three large letters 2nd class than to post three large

letters 1st class?

[2]

Answer

(c)

Gareth spent £15.95 posting large letters 1st class.

How many letters did he post?

[2]

Answer

(d)

[1]

Answer

Shape A is shown on the 1 cm grid.

(a)

On the grid below, draw a square that has the same area as shape A.

[1]

Answer

(b)

(b)(i)

Work out the perimeter of shape A.

[1]

Answer

(b)(ii)

[1]

Answer

(a)

Write the number six million five hundred and twenty thousand in figures.

[1]

Answer

(b)

Shade $fraction$ of the shape below.

[1]

Answer

(c)

Rearrange these five boxes to create a calculation with an answer of 8.

Write your calculation in the boxes below.

[1]

Answer

(d)

Write 465 784

(d)(i)

correct to the nearest 10,

[1]

Answer

(d)(ii)

correct to the nearest 1000.

[1]

Answer

Two fair spinners are shown below.

(a)

Each spinner is spun once.

Circle the expression that best describes the chance of each of the following events occurring.

(a)(i)

Spinner A lands on a circle.

impossible unlikely even chance likely certain

[1]

Answer

(a)(ii)

Spinner B lands on a square.

impossible unlikely even chance likely certain

[1]

Answer

(b)

[1]

Answer

(c)

A different spinner, spinner C, is spun once. The probability that spinner C lands on a star is $fraction$

What is the probability that spinner C does not land on a star?

[1]

Answer

(a)

[1]

Answer

(b)

Calculate the value of y.

[2]

Answer

ABCD is a kite.

Three of its vertices have been plotted on the grid below.

(a)

Plot point D on the grid to complete the kite.

[1]

Answer

(b)

Write down the coordinates of point D.

$Question 6, shown as an image$

[1]

Answer

(c)

Draw a reflection of the kite ABCD in the x axis.

[2]

Answer

The graph below shows the average maximum daily temperature (ºC) and the average monthly rainfall (mm) in Greece.

(a)

(a)(i)

Which month has the highest rainfall?

[1]

Answer

(a)(ii)

Calculate the difference in average maximum daily temperature between the

warmest month and the coolest month.

[2]

Answer

(a)(iii)

Courtney wants to go on holiday to Greece. She does not want the average maximum daily temperature to be over 30°C and hopes for as little rain as possible.

Which month would be the most suitable for Courtney to go to Greece?

[1]

Answer

(b)

The formula shown below can be used to convert between temperatures in degrees Fahrenheit (F) and temperatures in degrees Celsius (C).

F = 1·8C + 32

On a particular day in Greece, the temperature was 25°C.

Use the formula to convert this temperature to degrees Fahrenheit (F).

[2]

Answer

Alex and Louise buy some cereal bars and drinks at a shop.

The image below shows the items that Alex and Louise bought and their total cost.

Assume that:

• each cereal bar is identical • each drink is identical.

Find the cost of one cereal bar and the cost of one drink.

One cereal bar costs_........ One drink costs_........

[3]

Answer

The manager of a shop calculates the wages of her staff at the end of each week.

She uses this diagram.

(a)

Hamza is a junior sales assistant. Last week he worked for 25 hours and had a bonus of £80.

What was Hamza’s total wage last week?

[2]

Answer

(b)

Julie is a senior sales assistant. Last week her total wage was £271 including a bonus of £64.

How many hours did Julie work last week?

[2]

Answer

Jarrad won £3000 in a competition.

(a)

He spent £500 and gave 37% of the remaining money to charity. This was shared equally between five different charities.

How much did each charity receive?

Each charity received_........

[4]

Answer

(b)

Jarrad saves £600 of the £3000.

What percentage of the £3000 does Jarrad save?

Jarrad saves_........ % of the £3000.

[2]

Answer

(a) Simplify each of the following.

(a)

(a)(i)

maths symbol a + 7b + 5a − 9b

[2]

Answer

(a)(ii)

maths symbol 6w ÷ 2w

[1]

Answer

(b)

Amanda buys 5 bags of apples. Each bag contains n apples. She gives away 2 apples from each bag.

Write an expression for the total number of apples Amanda has left.

[2]

Answer

The Cowell family are planning a holiday to Spain for seven days.

They can either pay for a package deal or pay for return flights, accommodation and food separately. The costs are shown below.

On the holiday there will be two adults and two children. The children are aged 8 and 1 years old. They each require return flights, accommodation and food. The Cowell family wish to choose the cheaper option. Which option should they choose?

Package Deal
Pay Separately

Show how you decide.

[4]

Answer

(a) Three fair coins are thrown at the same time.

(a)

(a)(i)

Complete the table to list all the different possible outcomes.

The first row has been completed for you.

[2]

Answer

(a)(ii)

Write down the probability that the outcome is three heads.

[1]

Answer

(b)

When four fair coins are thrown at the same time, the probability that the outcome is two heads and two tails is 0·375.

If the same four coins are thrown 136 times, how many times would you expect to get

the outcome two heads and two tails?

[2]

Answer

(a)

The amount of electricity and gas used in a home is measured in units.

In the first week of May, the Singh family used 56 units of electricity and 245 units of gas. The cost per unit of electricity is 32p. The total cost for the units of electricity and gas the Singh family used in the first week of May was £39.97.

What is the cost of one unit of gas?

One unit of gas costs_........

[4]

Answer

(b)

The Singh family are calculating their electricity bill for the 30 days of June. • They use 210 units of electricity in June. • The cost per unit of electricity is 32p. • They pay a fixed charge of 28p per day. • VAT at 5% is added to the total of these costs.

Calculate the total cost of the Singh family’s electricity bill for June.

The total cost of the Singh family’s electricity bill for June is_........

[5]

Answer

Rhiannon cycled from her home to a park.

She cycled 15 miles along a straight road. The graph shows her journey.

Distance from Rhiannon’s home (miles)

(a)

On her journey to the park, Rhiannon had a puncture.

How long did Rhiannon stop to repair the puncture?

[1]

Answer

(b)

Rhiannon was, on average, travelling faster before she had a puncture than after she had a puncture.

Without calculating any speeds, explain how you can tell this from the graph.

[1]

Answer

(c)

(c)(i)

Rhiannon left the park at 11:30 and cycled back along the same road to a friend’s house that is 5 miles from her home. This journey took 45 minutes.

Draw this journey on the graph.

[1]

Answer

(c)(ii)

Calculate the average speed of Rhiannon’s journey from the park to her friend’s house.

Give your answer in miles per hour.

[2]

Answer

This is a map of a holiday park.

(a)

Measure and write down the bearing of the Reception from the Park entrance.

[1]

Answer

(b)

Amir is camping at the holiday park. His tent is on a bearing of 025° from the Park entrance and 280° from the Park exit.

Mark with a T, the position of Amir’s tent on the map.

[3]

Answer

The universal set (ε) contains the numbers 4, 9, 12, 18, 23, 32, 50, 64 and 72.

S is the set of square numbers. F is the set of factors of 36.

(a)

[2]

Answer

(b)

[2]

Answer

The grid below shows triangle A and triangle B.

(a)

Describe fully the single transformation that maps triangle A onto triangle B.

[2]

Answer

(b)

[2]

Answer

Shortbread biscuits are made from flour, butter and sugar.

Their masses are in the ratio 4: 3: 2 respectively.

(a)

What fraction of a shortbread biscuit is made up of sugar?

[1]

Answer

(b)

1400 g of flour is used to make a batch of shortbread biscuits.

How many grams of butter is used for this batch of shortbread biscuits?

[2]

Answer

The car depreciated in value by 18% in the first year. In each of the following years, her car depreciated by 15% of its previous year’s value.

By how much has the car decreased in value in the last 9 years?

Lucy’s car has decreased in value by_........

[4]

Answer

Regan caught 70 fish on a fishing trip.

He measured the length of each of the fish in centimetres.

The table shows his results.

Length, l (centimetres)	Number of fish
60 l 65	19
65 l 70	17
70 l 75	23
75 l 80	10
80 l 85	1

(a)

Calculate an estimate for the mean length of these fish.

[4]

Answer

(b)

Regan thinks that the median length of fish is in the group 70 maths symbol l 75. Is Regan correct?

Yes No

Give the reason for your answer.

[1]

Answer

Jan has a large piece of card.

The card has width 60 cm and length 96 cm.

She uses a machine to cut identical circles out of the card. Each circle has a radius of 6 cm.

Jan has cut five circles as shown on the diagram above. She continues in this way to cut as many circles as possible from the card.

(a)

What is the maximum number of circles Jan can cut out of the card?

[1]

Answer

(b)

Jan cuts out the maximum number of circles from the card.

What area of card is left over?

Area of card left over_........

[4]

Answer

(a)

[2]

Answer

(b)

Solve 7x + 6 = 4x + 7.

[2]

Answer

(c)

Factorise y² − 400.

[1]

Answer

(d)

[3]

Answer

The two shapes below are similar.

Find the value of r and the value of t.

[4]

Answer

Vaughan cycles down a track from the top of a mountain to the bottom.

The track goes down at an angle of 48° to the horizontal. Vaughan is 800 feet above ground level.

(a)

Vaughan cycles from the top of the track to the bottom of the track.

What distance has he cycled?

The distance Vaughan has cycled is_........ feet.

[4]

Answer

(b)

(b)(i)

State an assumption you have made in answering part (a).

[1]

Answer

(b)(ii)

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

part (a)?

[1]

Answer

Eduqas GCSE Maths Component 2F Foundation November 2023 question paper

a23-C300U20-1

a23-C300U20-1A

Eduqas C300 · Component 2F

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

a23-C300U20-1

a23-C300U20-1A