Edexcel Practice Paper 3

PQRS is a quadrilateral.

PQT is a straight line.
RQV is a straight line.

Write down the value of x.

PQRS is a quadrilateral.

PQT is a straight line.
RQV is a straight line.

Work out the value of y.

Write 8% as a decimal.

Work out √64 × (12 − 7)

Work out ⁴⁄₅ – ³⁄₈

Write your answer as a decimal

Uditi wants to make a shoe tray.
The tray will hold rows of shoes.
She wants each row to hold 6 pairs of shoes.

Uditi measures the width of 5 pairs of her shoes.
Here are the results in cm.

18.2  19.7  19.4  18.6  18.9

To find the total width of 6 pairs of shoes Uditi will multiply the median
width of these pairs of shoes by 6

The width of the base of the tray will need to be 10% more than the total width of
6 pairs of shoes and have an extra 3 cm at each end of the tray for a frame.

Uditi draws this diagram of the largest shoe tray she can make with the wood she has.

Uditi thinks this tray can hold 6 pairs of her shoes in a row.

Is she correct?

Susie wants to make a dress.

To make the dress she needs a piece of fabric with a length of 2 ³/₄ yards.
Fabric is sold in lengths measured in cm.

1 inch = 2.54 cm
1 yard = 36 inches

Work out the length of fabric, in cm, Susie needs to make the dress.

Jamal owns a car paint repair business.
He has 375 ml of thinner.

Jamal has plenty of colour and hardener
He has to mix colour, hardener and thinner in the ratio 2 : 1 : 10 to make car paint.

Work out the maximum amount of car paint Jamal can make with 375 ml of thinner.

Airon is a festival promoter.

He says

“In 2019 I sold 105 276 tickets. This is 7% less than the number of tickets I sold in 2018.”

How many tickets did Airon sell in 2018?

Write down the coordinates of point A

Here is a diagram of a dolls house Jayden has made.

Two faces are each in the shape of a pentagon with a vertical line of symmetry.
All other faces are rectangular.
The base angles of each pentagon are right angles.

Jayden wants to cover all the surfaces of the dolls house with paint.
He knows the total area of the base and the roof is 1.3824 m²

Jayden has enough paint to cover 3.5 m²

Has Jayden got enough paint to cover all the surfaces of the dolls house?

Here is a formula.

Find the value of m when a = 8 and y = 3.5

Nikos owns a restaurant.

The table shows information about the number of customers that visited the restaurant on each of the 31 nights in August.

The mean number of customers per night in July was 32

Nikos thinks the mean number of customers per night in August was more than the mean number of customers per night in July.

Is Nikos correct?

Benji sells items in a shop and online.

In a survey he asked 100 people if they

• prefer to buy items in a shop or online
• are aged under 25 years, 25 to 40 years or over 40 years.

56 of the 100 people prefer to buy online.
27 of the people aged under 25 years prefer to buy online.
12 of the 33 people aged 25 to 40 years prefer to buy in a shop.

Of the people aged over 40 years, 8 prefer to buy online and 17 prefer to buy in a shop.

One person who prefers to buy in a shop is chosen at random to win a prize.

What is the probability that this person is aged under 25 years?

Yesterday Benji made

• 48 sales in the shop
• 76 sales online

What fraction of the total number of sales made yesterday were in the shop?

Lucia is driving to a meeting.
She needs to drive for 58 miles on the motorway.

The maximum speed limit on the motorway is 70 mph.
Lucia will not drive over the speed limit.

Work out the minimum time Lucia will spend driving on the motorway.

Give your answer correct to the nearest minute.

Matt and Gabrielle are planning their wedding.
There will be 150 people at the reception.

All of the tables at their reception

• seat a maximum of 8 people
• have a circular top of diameter 1.7 m

Matt and Gabrielle want to put ribbon around the top edge of each table.
They will allow for an extra 65 cm of ribbon per table for a bow.

Ribbon is sold in rolls.
Each roll of ribbon is 30 m in length.

How many rolls of ribbon do Matt and Gabrielle need to buy to decorate the minimum number of tables needed at their reception?