OCR GCSE Maths Paper 2: Non-calculator Foundation June 2018 question paper J560/02

Write down a multiple of 6 between 10 and 20.

Write down two factors of 30 that are prime numbers.

Write these fractions as decimals.

A plank of wood 2.4 m long is cut into 6 pieces of equal length.

How long is each piece?

Work out.

10³

9(8 – 3 × 2)

Put brackets into this sum so that the answer is correct.

1 + 2 × 3 + 5 = 17

Simplify.

5 x – 6 y – x + 3 y

w⁸ ÷ w²

5c²d × 3c

Work out the value of

4 x – 7 when x = 5,

A shape is drawn on a one-centimetre grid.

Ring the mathematical name of the shape.

Pentagon Square Octagon Rhombus

How many lines of symmetry does the shape have?

Work out the area of the shape.

This bar chart shows the average monthly expenditure, by category, of households in a particular town in 2005 and 2015.

Utility bills Transport Housing Entertainment Food

In which category was there a decrease in the average monthly expenditure between 2005 and 2015?

How much more was the average monthly expenditure on housing in 2015 than in 2005?

The total average monthly expenditure in 2005 was £1200.

What percentage of this was spent on transport?

In the diagram, AB is parallel to DC.

Work out angle BDC. Give a reason for each angle you work out.

Liam is 0.83 metres tall. William is 1.31 metres tall. Jacob is taller than Liam by half the difference between Liam’s height and William’s height.

How tall is Jacob?

Elise wants to divide a sum of money between Hannah and Adil in the ratio 2: 3.

Elise says: Hannah will get of the money.

Explain why Elise is not correct.

George has a different sum of money. He divides the money between Siobhan and Iwan. Iwan receives of the money. Write the ratio of the money that Siobhan receives to the money that Iwan receives.

This Venn diagram shows the number of students in a Year 10 tutor group who study History (H) and Geography (G).

There are 29 students in the tutor group.

How many students in the tutor group do not study History or Geography?

How many students in the tutor group study History?

One of the 29 students is selected at random. What is the probability that they study Geography but do not study History?

This diagram represents students in a tutor group who study Art (A) and Physics (P).

How many students study both Art and Physics?

Liu has a bag only containing red grapes and green grapes. of the grapes are red.

If there are 8 red grapes in the bag, how many grapes are green?

Sophia has a different bag only containing red grapes and green grapes.

She picks out a red grape from her bag and eats it.

How many of the remaining grapes in her bag are red and how many are green?

Multiply out.

4 c (d – 5)

Multiply out and simplify.

(3 x + 2)(x – 4)

Solve.

3 x - 2 ⩽ 22

Calculate.

Give your answer as a mixed number in its simplest form.

Work out.

5 × 10⁴ – 1.6 × 10³

Give your answer in standard form.

Here is the floor plan of a rectangular room.

Tim buys carpet tiles for this room.

Each tile is a square measuring 50 cm by 50 cm. The tiles are only sold in packs of ten. Each pack costs £20. Tim pays for fitting at a rate of £7.50 per square metre, with any fraction of a square metre rounded up.

Work out the total cost of the tiles and fitting.

Four identical trapeziums are placed on a coordinate grid as shown.

Write down algebraic expressions for the coordinates of point P.

The coordinates of point Q are (16, 13).

Work out the value of a and the value of b.

Viraj cycled from his home to visit his aunt. He drew this graph to show his journey. He stopped at a shop 7 km from his home.

State one assumption that Viraj made when he drew his graph.

For how long did Viraj stop at the shop?

Work out Viraj’s average speed between his home and the shop. Give your answer in metres per minute.

(c)........ metres per minute

How can you tell, without doing any calculations, that Viraj’s average speed between his home and the shop is greater than his average speed between the shop and his aunt?

The table shows the relative frequencies of the results for a football team after a number of games.

Complete the table.

The team lost 10 more games than they won.

How many games did the team play altogether?

Ifsaw noticed this information on her car’s dashboard at the end of her journey. She started her journey with a full tank of fuel and her miles travelled set to zero.

Work out how far Ifsaw’s car can travel on a full tank of fuel.

What assumption have you made when answering part (a) ?

Here are three similar triangles.

Work out the value of x.

The diagram shows two right-angled triangles, OAB and OCD.

Work out the length of BD.

This shape consists of three semicircles.

The length of PQ is 4 x cm.

Show that the area, in cm², of the whole shape is 3x².