WJEC GCSE Mathematics Unit 1: Non-calculator Intermediate November 2022 question paper 3300U30-1

Shade the least number of squares so that the grid has rotational symmetry of order 2.

The squares you shade must be in the lower two quadrants.

Explain why Geraint is incorrect.

Dyfrig says,

“All cube numbers are odd numbers.”

Explain why Dyfrig is incorrect.

Using only the numbers in the following list,

31 33 35 37 39 41 43

find

the multiple of 5·5,

The multiple of 5·5 is_........

the factor of 111.

The factor of 111 is_........

Andrew and Grace each have some £10 notes and £5 notes. Andrew has 6 notes. The total value of Andrew’s notes is £55. Grace has 5 notes. The total value of Grace’s notes is £35.

How many £10 notes do they have in total?

How many £5 notes do they have in total?

Solve the equation 7p 3 60.

Simplify the expression 6a 7b 2a 8b.

In a restaurant, as part of a Set Meal, customers must choose a starter, main course and dessert from the options below.

List all the possible different combinations of starters, main courses, and desserts that the restaurant offers.

One has been done for you.

There are five numbers in a list. The mean of the five numbers is 7. Another number is added to the list. The mean of these six numbers is 8∙5.

Find the value of the sixth number.

You must show all your working.

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

A sum of money is shared in the ratio 1: 8. The larger share is £16.80. What is the total amount of money shared?

You must show all your working.

You must show all your working.

The nth term of a sequence is given by 3n 13.

Write down the value of

the 10th term,

the 4th term.

Samira has a dice. Its faces are numbered 1 to 6. She wants to know whether her dice is biased or not. Samira rolled this dice 300 times. Her results are shown in the table below.

The relative frequency of throwing a 5 is .

What is the relative frequency of throwing a 2?

Give your answer as a fraction in its simplest form.

Do the results in the table suggest that Samira’s dice is biased?

Yes No

Explain your decision.

This dice is thrown 2400 times. Use Samira’s results to calculate the number of times you would expect a 6 to be

thrown.

A rectangle and a square are shown below.

The total area of the two shapes is 184 cm².

Find the perimeter of the square.

In a group of 200 people:

• 105 people do not have black hair and do not wear glasses • 20 people have black hair and wear glasses • 70 people have black hair.

Triangle ABC is shown in the diagram below.

Using only a ruler and a pair of compasses, construct an accurate drawing of triangle ABC. Side AC has been drawn for you.

All construction lines and arcs must be shown.

Express 1575 as a product of its prime factors in index form.

Simplify the following expressions.

7a(a + 5) − 2(3a² + 6a − 7)

The diagram below shows the graph of a straight line for values of x from –1 to 3.

Write down the gradient of the line above.

Write down the equation of the line in the form y mx c.

Show that the lines

y = 3 x − 8 and 2 y − 6 x = 23

are parallel to each other.

In the following formulae, each measurement of length is represented by a letter. Consider the dimensions implied by each formula. For each case, write down whether the formula could be for a length, an area, a volume or none of these.

The first one has been done for you.

7a³− abc
volume

5abc 6bc b² _........

4a²b 4b²a _........

3a 8b 2c _........

a²− abc _........

Which complete method, using Pythagoras’s Theorem, can be used to find x ?

Circle your answer.

Which of the following calculations can be used to find y?

Circle your answer.

P, Q and R are points on the circumference of a circle with centre O.

Calculate the value of x. You must state all the angle properties that you use.

You must show all your working.

On Monday morning, Twm picked n apples from a tree. Ceri picked 5 times as many apples as Twm.

On Monday afternoon, Twm picked 19 more apples. Ceri gave 7 of her apples to Twm.

Ceri still had more apples than Twm.

Write down an inequality in terms of n to show the above information. Use your inequality to find the least possible number of apples Twm picked on Monday morning.

You must show all your working.