Eduqas GCSE Maths Component 2F Foundation November 2017 question paper

The table below shows the rates for staying at a camping site.

Emma has a small tent.

How much would it cost her to stay for 3 nights?

Rogan’s family have a large tent. They will stay at the camping site for a week.

How much cheaper is the weekly rate than paying for 7 nights?

Bilal’s family have a caravan.

Calculate the difference in cost between staying for 6 nights and staying for a week.

Explain why they should pay for a week instead of 6 nights.

A company uses the following formula to work out weekly pay.

Pay = £7.50 x number of hours worked + £30

Terry worked for 28 hours last week.

How much was he paid?

The company only pays for whole numbers of hours worked. Explain why it is not possible for an employee to be paid exactly £100 in a week.

Last week, Jo was paid just under £100.

What is the greatest whole number of hours that Jo could have worked?

Place a tick (√) in all the boxes that describe each number.

Jane is running a game in a school fete.

She is using six cards. A whole number is written on each card. The cards are turned face down and one is selected at random. A player wins the game if an odd number is selected.

Write a number on each card so that the chance of losing is the same as the chance of

Explain how Jane could change the numbers on the cards so that the chance of losing is

greater than the chance of winning.

Niamh has made this solid shape from cubes.

Which of the following diagrams shows the plan view of the solid shape?

Circle the correct answer.

6.

Give your answer correct to 2 decimal places.

What is the value of the 5 in the following number?

34·256

Circle the correct answer.

8. (a) Caitlin is thinking of a fraction. • The numerator is the smallest positive even number. • The denominator is the product of 4 and 1·25.

What fraction is Caitlin thinking of?

Write the answer from (a) as a percentage.

The picture below shows 3 identical apples on a set of scales.

What is the mass of one apple?

5 identical pears have the same total mass as the 3 apples.

What is the total mass of two apples and two pears?

10. (a) Simplify 4b + 2a + 3b + 3a – a

Expand 3(x + 5)

Fabian is f years old.

Fabian’s brother, Ben, is half Fabian’s age.

Write an expression for Ben’s age._........

Write an expression to give Ben’s age in five years time.

A car park has this sign by the ticket machine.

At the end of a day there was exactly £60 in the machine.

Rita says,

It is possible that Rita is correct.

Show how she worked this out.

Find another possible way that the total in the machine could have been exactly £60.

Sarah is painting a wall with the dimensions shown below.

There is a door in the wall measuring 2 m by 1 m. There are two square windows with sides of length 1·6 m.

Each tin of paint can cover 6 m². What is the smallest number of tins of paint that Sarah will need to paint the wall?

You must show all your working.

13. (a) Two triangles, A and B, are shown on the grid below.

Explain why triangle A and triangle B are congruent.

Triangle T is shown on the grid below.

What type of triangle is T?

On the grid below, enlarge the triangle using scale factor 3.

14. (a) The opening hours of a shop are shown below.

For how many hours is the shop open each week?

A supermarket is open for 75 hours per week.

The opening hours are shown below.

Monday to Friday 8 a.m. – 8 p.m.

Saturday 9 a.m. – 6 p.m.

Sunday 10 a.m. – 4 p.m.

The supermarket manager is increasing the total opening hours by 10%. The manager does not want to open earlier in the morning. The hours on a Sunday cannot change.

Show how the manager could do this.

Monday to Friday 8 a.m. –_........

Saturday 9 a.m. –_........

Sunday 10 a.m. – 4 p.m.

The mean rate of pay for people working in the supermarket is £8.50 per hour. There are 24 people who work at the supermarket.

• With the new opening hours, what is the increase in the total weekly

wage bill for the supermarket?

• State one assumption you have made in calculating the increase

in the total weekly pay.

• How would your answer for the total weekly pay change if your

assumption was not correct?

This pie chart shows how 1200 students travel to school.

Calculate the fraction of students who walk to school.

Calculate the number of students who walk to school.

Draw a bar chart to show the number of students and how they travel to school.

Give one advantage or disadvantage of the bar chart compared to the pie chart.

16. (a) A company gives a bonus to Ian and Stacey in the ratio of the number of months they have worked for the company.

Ian has worked for the company for 245 months. Stacey has worked for the company for 350 months.

What is the ratio that will be used to share the bonus?

Give your answer in its simplest form.

The total bonus is £6970.

How much money would each of them receive?

Ian receives £_{…………........ …………} Stacey receives £_{…………........ …………}

Bob, Jen and Lenny sell cars. In one week, Bob sold 1 car, Jen sold 6 cars and Lenny sold 9 cars. They shared the profit in the ratio of the number of cars they sold. Lenny gave half of his share to Ellie.

What fraction of the profit was given to Ellie?

Budget Buy s sells two different sizes of tomato ketchup.

Which is the better value?

You must show all your working.

A rectangle is shown on the grid below.

What is the order of rotational symmetry of the rectangle?

Add more squares to the rectangle to increase the order of rotational symmetry.

19. (a) Calculate the area of the triangle.

The triangle is the cross-section of the prism shown.

Calculate the volume of the prism.

Another triangular prism has the same cross-section as the one in (b). The length of the prism is 50 mm. Without finding the volume of this prism, explain why it has a greater volume than the

prism in part (b).

Tom is trying to increase £2480 by 8%.

This is Tom’s work:

Explain the error that he has made.

What should Tom’s answer have been?

Show all your working.

Tom could have used a multiplier to work out the correct answer in one calculation.

Write the multiplier in the box below.

2480 × = correct final answer

This is a recipe for a Christmas pudding.

Christmas Pudding

8 servings

110 g butter

110 g sugar

180 g flour

4 tablespoons mincemeat

Alex needs to serve the pudding to 12 people.

Complete the recipe to serve 12 people.

Christmas Pudding

12 servings

Charles is also making Christmas pudding. He checks his kitchen cupboard. He only has 315 g of flour but he has plenty of everything else.

What is the greatest number of servings of pudding he can make?

Sid has built the two walls, as shown in the diagram below.

Diagram not drawn to scale.

Sid measures the distance shown by the dotted line. He finds that it measures exactly 14 m. Sid thinks that his two walls meet at right angles. Is he correct?

Show all your working and explain your answer.

An amount of money is shared in the ratio 2: 3: 15. The largest share is £330.

Calculate the smallest share.

The score from the two spinners shown is 2 + 5 = 7.

The score is the sum of the two outcomes.

What is the lowest possible score?

Is it possible to get a score 9?

Give a reason for your answer.

Yes No

Ryan says,

• Comment on Ryan’s method.

• Find the probability of scoring 5.

Comment on Ryan’s method:

Probability of scoring 5:

Probability of scoring 5 is_........

Seb wants to travel around the world in 7 years’ time.

In total, he will need £4000.

Seb has just been given £3000. He invests this in an account that pays 2·5% interest per annum.

How much extra money will Seb need in 7 years’ time?

Give your answer correct to the nearest pound.

Extra money needed_........

The table shows the daily rainfall in Hightown during September 2017.

Rainfall, r mm	Number of days
0 r 4	4
4 r 6	14
6 r 10	10
10 r 14	2

Calculate an estimate of the mean daily rainfall in Hightown for September 2017.

The actual mean daily rainfall in Seabank during September 2017 was 5·9 mm. Explain how it is possible that the actual mean daily rainfall in Hightown and

Seabank were both the same for September 2017.

27. (a) Solve 11 x – 3 = 9 x + 25.

Factorise 5x² + 10x.

The table below gives the densities, in g/cm³, of aluminium, copper, iron and zinc.

A metal sphere of radius 3·6 cm is placed on weighing scales. The reading, in kg, shows:

The sphere is made from a single metal. Which metal is the sphere made from?

You must show all your working.

The sphere is made from_........

29. (a) The equations of 5 lines are given below. Which one represents a line that is parallel to 3x + y + 4 = 0?

Circle your answer.

3 x – y – 4 = 0 y = 3 x – 4

y = 3 x + 4 y = 4 – 3 x
x + 3 y + 4 = 0

A straight line has a gradient of 2 and passes through the point (0, 4). Find the equation of this straight line.

Give your answer in the form y = mx + c.