Eduqas GCSE Maths Component 2F Foundation November 2022 question paper

Enzo and Jane are taking a group of children to the beach for a day trip.

They go to a shop to buy some items for the trip.

Complete Enzo’s bill below.

Enzo is given a 10% discount.

How much discount will he get?

Jane has £15 to spend. The shop has a special offer on beach balls:

‘Buy two get one free’

What is the maximum number of beach balls Jane can buy?

Write the number 340 205 in words.

Shade of the following shape.

What is the value of the 2 in the number 5·2614? Circle your answer.

Write these numbers in order of size.

Start with the smallest.

Here are four cards with numbers on them.

Write down the largest four-digit number that can be made by rearranging the

cards.

Write down the smallest even four-digit number that can be made by rearranging

the cards.

The scales below are used to measure the mass of some fruit in grams.

What is the total mass of the fruit on each of the scales?

Calculate the mass of each pear and the mass of each banana.

Assume that:

• each pear has the same mass

• each banana has the same mass.

Pear_{……........ …} grams Banana_{……........ …} grams

One hundred tickets are sold in a raffle. A ticket is to be selected at random and the person with that ticket wins the prize. Sandra buys one of the tickets.

Circle the expression that describes the chance that Sandra wins the prize in the

raffle.

impossible unlikely an even chance likely certain

Henry has six pairs of shoes in his cupboard. He picks one shoe out at random.

Circle the expression that describes the chance that Henry picks out a shoe for

his left foot.

impossible unlikely an even chance likely certain

Nine shapes are shown below.

Complete the following sentences.

Shapes_{……........} and_{……........} have only two lines of symmetry.

Shape_{……........} has rotational symmetry of order 4.

Shapes_{……........} and_{……........} are congruent.

Shapes_{……........} and_{……........} are similar but not congruent.

The table below shows part of a train timetable between Portsmouth Harbour and London Waterloo.

Train Times: Portsmouth Harbour to London Waterloo

Elise catches the 08:45 train from Portsmouth Harbour to London Waterloo.

How long should her train journey take?

Paul lives in Petersfield and works in Guildford. He starts work at 10 a.m. It takes him 15 minutes to walk from the train station to work. Paul needs to arrive at work on time.

What is the time of the latest train from Petersfield he can take?

Georgia is going on holiday to France.

She takes one large suitcase and one piece of hand luggage.

The graph below can be used to convert between kilograms and pounds.

Pounds (lb)

Georgia’s suitcase has a mass of 24 kg.

What is the mass of the suitcase in pounds?

Her hand luggage has a mass of 13 pounds.

What is the mass of her hand luggage in kilograms?

A car hire company in France uses the following formula to calculate costs in euros (€).

Car hire cost = €11.25 x number of days car hire + insurance

Georgia decides to hire a car for 8 days. Insurance will cost her €95.

Calculate the cost of Georgia’s car hire.

Meena is also hiring a car from the same company. She has €270 to spend on car hire. Insurance will cost her €126. She wants to hire the car for as many days as possible.

For how many whole days can Meena afford to hire the car?

Malik is planning a birthday party for 25 children.

He can choose either a swimming party or an adventure centre party.

Malik works out the total cost for each party. He chooses the cheaper of the parties.

Which party does Malik choose?

Swimming Party
Adventure Centre Party

You must show all your working.

Adventure Centre Party

Two different companies use pie charts to show the proportion of male and female employees.

Jamie says,

“Company A has more female employees than Company B.”

Give a reason why he may be incorrect.

Calculate the difference between the percentage of male employees in Company A

and the percentage of male employees in Company B.

A shop sells the same breakfast cereal in two different-sized boxes.

Which box is the better value for money?

500 g 900 g

You must show all your working.

Simplify 10a 2.

Solve 4x 5 2.

Expand 7(g 6).

Factorise 6x 4.

The shape below is a square.

Find an expression for the perimeter of the square.

Simplify your answer.

Find an expression for the area of the square.

Simplify your answer.

Hubert plays a game.

He spins these two fair spinners.

Hubert calculates a score. He squares the number on spinner 1 and multiplies it by the number on spinner 2.

To win the game Hubert must score more than 9. He plays the game 108 times.

How many times would you expect him to win?

Lynda cycles 31·5 km from home to work each day.

One day, her journey to work takes her 1 hour and 45 minutes.

Calculate her average speed in km/h.

Lynda cycles home following the same route. She leaves work at 4 p.m. Her average speed on this journey is 15 km/h.

At what time does Lynda arrive home?

You must show all your working.

Find the value of x and the value of y.

Give your answer correct to 1 decimal place.

Tobias has a tank in the shape of a cuboid.

It has length 40 cm, width 25 cm and depth 32 cm. He uses a jug with a capacity of 2 litres to fill the tank. The tank and jug are shown below.

Tobias fills the jug to the top with water and pours it into the tank. He repeats the process until the tank is full.

How many times does Tobias fill the jug?

Tobias fills the jug_{……........ …} times.

Nathan and Lucy make and sell wooden items for gardens.

Nathan makes and sells benches, tables and tool sheds. Last year, the profit he made from selling these items was in the following ratio.

benches: tables: tool sheds 2: 3: 7

What fraction of his profit did Nathan make from selling benches and tables?

His total profit was £18 072.

How much profit did Nathan make from the sale of tool sheds?

Moeen uses the midpoint of each group to calculate an estimate of the mean mass of these buzzards. He does this correctly.

Calculate Moeen’s answer.

Deeta decides to estimate the mean mass of these buzzards. She uses the values 600, 700, 800 and 900 rather than the midpoints.

Explain why her method is unlikely to give a good estimate of the mean mass.

Debbie collects data about a group of 20 people.

Her data is: • the total number of years for which they have owned a pet • the number of visits they have each made to their doctor in the last year.

The scatter graph shows her results and her attempt to draw a line of best fit for the data.

Total number of years of pet ownership

Make a criticism of Debbie’s line of best fit.

Debbie says,

Is Debbie correct?

Yes No

Explain how you decide.

Janet invests £5000 in a savings account for 9 years.

She makes no further payments into or out of her account in this time.

For the first 5 years, her investment earns 2% compound interest per year. After this, the interest rate decreases to 1·3% compound interest per year.

How much is Janet’s investment worth at the end of the 9 years?

The diagram shows a shape made from a trapezium and a circle.

The parallel sides of the trapezium are tangents to the circle. The diameter of the circle is 30 cm.

The ratio of the white area to the shaded area is as follows.

white area: shaded area 1: k

Find the value of k.

Show all your working and give your answer correct to 1 significant figure.

Solve 5x 4 2x 6 .

Solve 4x 3 17.

Solve the following simultaneous equations. Use an algebraic (not graphical) method.

You must show all your working.