WJEC GCSE Mathematics Unit 1: Non-calculator Foundation June 2019 question paper 3300U10-1

Add 3874 and 649.

Subtract 532 from 700.

Write down all the factors of 27.

The factors of 27 are_........

Draw a reflection of this shape in the line PQ.

Draw a tangent to this circle.

O is the centre of the circle.

Draw a radius of this circle.

O is the centre of the circle.

Write 481·627 correct to 2 decimal places.

Write down the value of 8². (b)

Work out 38·25 ÷ 1000.

The pie chart below shows the favourite sport of 60 people.

Which is the modal sport?

One person is chosen at random.

What is the probability that this person said swimming is their favourite sport?

How many people said tennis is their favourite sport?

Simplify 8 p – 12 p + 9 p.

Solve the following equations.

6x = 48

32 – y = 17

Tom thinks of a number. He multiplies the number by 4. The answer is 76.

What number did Tom think of?

Twenty-five balls have numbers printed on them.

Some of the balls are coloured yellow (Y), the others are coloured blue (B). The list below shows both the colour of each ball and the number printed on it.

Y 76 Y 217
B 54 B 126
Y 21 Y 438
Y 32 B 561
B 194
Y 69 B 37 B 518
Y 94 Y 157
Y 208 Y 382
B 56 B 234
Y 72 B 84 Y 68 Y 271
Y 53 B 100
Y 321

Complete the frequency table.

How can you use your table to check that all the balls have been counted?

The 25 balls are placed in a box. One ball is chosen at random.

What is the probability that it is a yellow ball numbered less than 100?

Write down the next two numbers in the following sequence.

−19 −15 −11 −7 ……. ………

Rods are used to make a sequence of patterns as shown below.

Pattern 1 uses six rods.

How many rods are required to draw Pattern 4?

Pattern 37 requires 186 rods.

How many rods are required to draw Pattern 38?

Describe in words the rule used in the following sequence.

243 81 27 9 …….

In this question, you must use only the numbers 3 and 7 to make other numbers.

You must only add or subtract.

For example, if we wanted an answer of 11, we could write

7 + 7 – 3 = 11.

Show how you can get each of the following answers.

2

Write your solution in the box below.

8

Write your solution in the box below.

19

Write your solution in the box below.

A Venn diagram is used to show the following information:

• The Universal set, ε, is the set of numbers from 10 to 20 inclusive. • Set A = {11, 13, 14, 18, 20}. • Set B = {multiples of 3}.

Draw the Venn diagram that shows the above information.

Solve the following equations.

13f + 2 = 6f + 5.

n is an integer.

Tick the correct statement below.

You must give an explanation for your decision.

ABCD is a rectangle.

AB is parallel to EF. AC, CE and DG are straight lines.

Find the size of each of the angles a, b and c.