Eduqas GCSE Maths Component 2F Foundation November 2019 question paper

A sign in a shop shows the cost of sending letters and parcels.

Customers can choose 1st or 2nd class post for different sizes of letter or parcel.

What is the cost of sending 5 small letters, using 1st class post?

Helen always uses first class post. She makes a large letter into a small letter by folding it in half.

How much money does this save?

Brad sends: • 3 small parcels using 2nd class post, • 2 medium parcels using 1st class post.

How much does Brad pay to send all 5 parcels?

2. (a) The diagram shows a circle with centre O. P, Q and R are points on the circle.

Choose words from the box to complete these sentences.

Line OP is a_{………........ ………………}

Line QR is a_{………........ ………………}

Lines OP and QR are_{………........ ………………}.

ABC is a right-angled triangle in which: • AB = 8 cm, • angle A = 90°, • AC = 6·5 cm.

Complete an accurate drawing of triangle ABC.

AB has been drawn for you.

3. (a) The diagram shows a 2D shape made from squares.

This shape is folded along each dotted line to make a 3D shape.

Write down the name of this 3D shape.

Which of the 3D shapes drawn above has 5 faces, 9 edges and 6 vertices?

Tick (√) one box.

A B C D E

Two sides of a square EFGH are shown on the 1 cm grid below.

Point H of the square is missing from the diagram. Mark point H on the diagram.

Write down the coordinates of point H.

Point J is the reflection in the y-axis of point E. Mark point J on the diagram.

Write down the coordinates of point J.

5. (a) The diagram shows a rectangular wall.

Calculate the area of the wall.

Round your answer correct to the nearest 10 m².

The area of a different wall is 110 m². Liesel wants to paint the wall. She uses paint from tins that each cover 25 m².

She calculates 110 ÷ 25 = 4·4 and says,

“I need to buy 4 tins of paint.”

Is Liesel correct?

Yes No

Explain how you decide.

There are:

• 28 days in February, • 52 weeks in a year.

Emile is given £8.12 pocket money every week.

How much pocket money is Emile given in a whole year?

For this year, Catrin is given £7.35 pocket money every week.

How much pocket money is Catrin given in February?

Catrin multiplies the total for February by 12.

This method will not give the correct amount for the whole year.

Why not?

Each morning, Aled is given 95p pocket money. He saves all his pocket money from 1st February until the 15th March.

Will Aled have saved enough money to pay £40 for a concert ticket on the evening of the 15th March?

You must show all your working.

This table shows minimum rates of pay in the UK for 2018.

In 2018, Barry was 19 years old and earned the minimum wage per hour.

Calculate the pay that Barry earned for working 23 hours.

One week, Barry earned £218.30.

How many hours did Barry work for this week?

In 2018, Shanice was 22 years old and earned the minimum wage per hour. One week, Shanice worked for 32 hours and received a bonus of £25.

Calculate how much Shanice earned for this week.

8. (a) The table and bar chart below show some information about the number of pets seen by a vet on Tuesday.

Using the information above, complete the table and draw the bar for rabbit.

Which is the modal type of pet?

The table below shows the number of pets seen by the vet on Wednesday.

The vet decides to show this information in a pie chart.

Calculate the angle used to show the cats.

A pet is chosen at random from the pets that were seen on Wednesday.

What is the probability that this pet is a dog?

Simplify 9 a – 1 – 6 a + 8.

Expand 3(x + 2).

Solve each of the following.

x + 6 = 15

v = u + at

Find v when u = –2, a = 6 and t = 3.

10. (a) A newspaper headline states,

’63% of households in Barville owe money’

What percentage of households do not owe money?

The households of Churchton owe a total of £8 100 043.

Write 8 100 043 in words.

There are 3650 households in Lowtown. 48% of these households owe an average of £3400.

Calculate the total amount of money owed by these households.

There are 49 000 households in Hamborough. 21 425 households are not in debt.

What fraction of households in Hamborough are in debt?

using a scale factor of …………

The factory makes orange paint by mixing yellow paint and red paint.

On Monday, they use 66 litres of yellow paint and 99 litres of red paint. On Tuesday, they use 264 litres of yellow paint.

How many litres of red paint must be used on Tuesday to make the same colour of

orange?

Three friends buy some paint.

• Murphy buys 5 litres of paint. • Jane buys 3 times as much paint as Murphy. • Alexei buys half as much paint as Jane. • Paint costs £4.95 for half a litre.

Calculate the total cost of the paint.

The total cost of the paint is £_{…………........ ……….}

Find the size of each of the following angles.

BDE

CDE

ABC

Write the mathematical name of quadrilateral ACED.

The distance by rail from Leicester to London is 100 miles.

Assume that the train travels at an average speed of 80 mph.

Calculate the arrival time in London of a train that leaves Leicester at 11:50 a.m.

The train actually travelled slower than the assumed 80 mph.

How would this affect the arrival time?

Write an expression for the perimeter of the shape.

Simplify your expression.

Use the highest possible number to complete the following sentence.

‘The expression for the perimeter is a multiple of …………………....’

25 years ago, Raveena’s grandparents invested £500 for her in an account paying 3·4% compound interest per annum. No extra money was paid in and no money was withdrawn during these 25 years.

Raveena has decided to withdraw all the money in the account after 25 years.

How much should Raveena receive? Give your answer correct to the nearest penny.

You must show all your working.

Write an equation in terms of x and solve it.

You must show all your working.

The table below gives information from the Highway Code on stopping distances for cars.

Remember 50 mph is 80 km/h.

The stopping distances given in the Highway Code assume good driving conditions and alert drivers.

When a driver is tired and the road is wet, the thinking distance increases by 30% and the braking distance increases by 20%.

A tired driver travels at 64 km/h in wet driving conditions.

Calculate their stopping distance in metres.

Expand and simplify (2x – 7)(3x – 8).

20. (a) In Queenbridge, the mean daily snowfall for a week was 1∙6 cm. If there had been 1 cm more snowfall on each day, what would the mean daily snowfall

have been?

In Sansburg, the snowfall for each of the first 10 days in January was measured. The results are summarised in the table below.

Daily snowfall, s in cm	Number of days
1·5 s 2·5	4
2·5 s 3·5	2
3·5 s 4·5	1
4·5 s 5·5	0
5·5 s 6·5	3

Calculate an estimate for the mean daily snowfall for these 10 days.

Calculate the size of the angle between the roof of the shed and the horizontal.

Petra has a mathematically similar shed.

Calculate the two missing measurements on the diagram above.

You must show all your working.

Nadeen has 102 g of butter and plenty of flour and sugar. Nadeen uses all this butter to make scones.

Calculate the quantity of flour and sugar Nadeen needs.

Nadeen has been recommended to eat 2200 kcal per day. She eats two scones for lunch. Her breakfast was 390 kcals. What percentage of the recommended daily kcals does Nadeen have left for meals later in the day?

Give your answer correct to the nearest 0.01%.