WJEC GCSE Mathematics Unit 2: Calculator-allowed Intermediate November 2021 question paper 3300U40-1

Solve 7 x – 3 = 11.

Find the value of 3f + 2g when f = 5·8 and g = −3·7.

One of these fractions can be written as a recurring decimal.

Circle this fraction.

Which one of the following numbers is a factor of 92?

Circle your answer.

31 23 29 36 6

Which one of the following numbers is a multiple of 17?

Circle your answer.

1953 1653 2053 1853 1753

In this question, you will be assessed on the quality of your organisation, communication and accuracy in writing.

A company produces 440 boxes of paper clips each day. Each box contains between 320 and 330 paper clips.

Calculate the approximate total number of paper clips produced in 200 days. Give your answer to the nearest ten million.

You must show all your working.

Thirty numbers are recorded in the grouped frequency table below.

It is decided that the same thirty numbers should be recorded in a table with larger group widths.

This new table is shown below, but only one frequency has been given.

What is the smallest possible frequency of the 1 to 30 group?

What is the greatest possible frequency of the 31 to 60 group?

A camera was switched on at

21:45 on 20th March, 2021.

It was left continuously filming until the battery ran out.

The battery lasted for exactly 2 days and 10 hours.

At what time and on which date did the battery run out?

Battery ran out at_{……........ …}:_{……........ …} on_{……........ …} March 2021.

Helen says,

Is she correct?

You must show all your working.

Give your answer correct to 3 decimal places.

Evaluate

Give your answer correct to the nearest whole number.

Geraint is running a game in a school fair. A large number of balls are placed in a box. Each of the balls is one of three colours: bronze, silver or gold. In the game, a ball is chosen at random from the box. The table below shows the probability of choosing a bronze ball and the probability of choosing a silver ball.

In the game, each person pays £2 to choose a ball at random from the box. The ball is then returned to the box.

The person wins £3 if a silver ball is chosen. The person wins £8 if a gold ball is chosen. There is no prize for choosing a bronze ball.

100 people each play the game once.

How much profit would you expect Geraint to make?

You must show all your working.

The n th term of a sequence is given by 1·7 n − 3.

Which term will be the first whole number in this sequence?

First whole number is the_{…........ ……….}th term.

A rectangle has sides of length 2(3 a – 7) cm and (5 a + 4) cm.

Form an expression, in terms of a, for the perimeter of this rectangle.

You must simplify your expression.

A company has two sites.

One is in North Wales and the other is in South Wales.

The pie charts below show the distribution of its 96 part-time staff and its 150 full-time staff.

A person is chosen at random from the company’s 246 staff members.

What is the probability that this person works at the site in North Wales?

A solution of the equation

lies between 2 and 3.

Use the method of trial and improvement to find this solution correct to 1 decimal place.

You must show all your working.

Show that the triangle below is not a right-angled triangle.

Diagram not drawn to scale

Calculate the length of the side AB in the triangle shown below.

Expand x(x² + 7).

Expand and simplify (x – 5)(3x − 4).

Sarah buys and sells antique clocks. On Monday, Sarah had n clocks. At the end of the day on Tuesday, she had 5 times as many clocks as she had on Monday. On Wednesday, she sold 27 clocks.

At the end of the day on Wednesday, Sarah had fewer clocks than she had on Monday.

Write an inequality, in terms of n, that shows this information.

Solve your inequality to find the greatest number of clocks that Sarah could have

had on the Monday.

The number shown on each diagram below is 20% greater than the number shown on the previous diagram.

Diagram 1 Diagram 2 Diagram 3

Diagram not drawn to scale

Find the number that should be shown on Diagram 6.

Factorise x² − 4x − 12, and hence solve x² − 4x − 12 = 0.