Edexcel Past Paper 4

Shannon works in a mobile phone shop.
This week Shannon makes

• 19 pay as you go phone sales
• 57 SIM card with handset contract sales.

The remaining sales were SIM card only contracts.
Shannon made a total of 114 sales during this week.
What fraction of the sales made by Shannon this week were SIM card only contracts?
Write your fraction in its simplest form.

Grace and James share £72 in the ratio 4 : 5
Work out the amount of money that James gets.

Brian collects loyalty points at the supermarket.
The total value of the loyalty points he has collected is £17.50

Brian has this information.

Travel vouchers can be used to pay for ferry tickets.

Brian wants to book 2 ferry tickets.
The ferry tickets cost £33.25 and £29

Brian will exchange all his loyalty points for travel vouchers.
He will use all the travel vouchers towards the cost of the ferry tickets.

Brian will pay for the rest of the cost of the ferry tickets with his bank card.
How much will Brian pay with his bank card?

Zia makes and sells candles.
She wants to make candles in the shape of a triangular prism.

Zia has this sketch of the triangular face and the candle.

Zia will melt wax to make the candles.
She knows that

• each 1 kg of solid wax makes 1.2 litres of melted wax
• 1 litre = 1000 cm³
• the volume of a prism = area of cross section × height

Zia has a 5 kg bag of solid wax.
She thinks that she can make at least 20 candles with this bag of solid wax.
Is Zia correct?

Johan is cooking using an old recipe.
The recipe says to preheat the oven to a temperature of 350 °F.

The oven Johan uses is marked in centigrade (°C).
He finds this formula to change from °F to °C.

Johan sets the oven temperature to 190 °C.
Has Johan set the oven to the correct temperature for this recipe?

Work out

Write the following values in order of size.
Start with the smallest value.

Misbah is a midwife at her local hospital.
She is writing a report about changes in the average weight of a baby at birth.

Misbah has this information about birth weights in 2018 at the hospital.

Misbah can use this graph to change between kg and lb.

Misbah wants to write about the percentage change in the modal weight of a baby
from 1998 to 2018

She finds out that the modal weight of a baby in 1998 was 7.7 lb
What is the percentage change in the modal weight of a baby from 1998 to 2018?
Write your answer to the nearest whole number.

Kasim wants an extension built onto his house.
The diagram shows part of the house and the centre of a tree.

The length of the house is 36 m.

What number should go into the key?

Tess works for a drinks company.
She is told that it is better for the environment if less metal is used when making cans.

She starts to design a new can that is taller and narrower than the old can.
The new can

• is in the shape of a cylinder
• has a diameter of 52 mm
• has a height of 154 mm
• holds the same amount of drink.

Tess knows that 27 332 mm² of metal is used to make the top, the side and the bottom of each old can.

She thinks that her design will use less metal to make the top, the side and the bottom of each new can.
Is Tess correct?

Last week 263 people passed their driving test at a test centre.
The table shows information about the number of driving tests these people took
before passing.

What is the probability that a person chosen at random passed
their driving test on the first attempt?

Ryan is doing a project about sugar at school.
He wants to compare the amount of sugar in grapes with the amount of sugar in
cookie dough.
Ryan finds this information

• grapes weighing 92 g contain 15 g of sugar
• cookie dough weighing 610 g contains 110 g of sugar.

Ryan thinks that there is a higher percentage of sugar in the cookie dough
than in the grapes.
Is Ryan correct?

Here is an isosceles triangle.
It has a
• base length of 13.9 cm
• perimeter of 38.2 cm

Work out the length of side a on the triangle.

Write 6.8% as a decimal.

Jess invests £3800 into a savings account for 3 years.

She will not put any extra money into the account.
She will not take any money out of the account.

The investment will earn 2.4% compound interest per year.
Work out the total amount of interest earned after 3 years