OCR GCSE Maths Paper 2: Non-calculator Foundation November 2020 question paper J560/02

Work out.

-1 + 6

7 - - 3

Write down two prime numbers between 10 and 20.

Write 350 centimetres in metres.

Write 1.52 litres in millilitres.

Work out.

5.7 cm + 30 mm.

Give your answer in centimetres.

Complete each statement by writing the missing value in the box.

Work out.

0.8 ÷ 2

1.7 × 2

Write 0.16 as a fraction in its simplest form.

Write down the mathematical name of each of these shapes.

A triangle with 3 equal sides.

(a)(i)........ triangle

A quadrilateral with 4 equal sides and no right angles.

Here is a rectangle.

On the diagram, draw the rectangle’s two lines of symmetry.

The rectangle has rotation symmetry of order 2.

Amaya says

A rectangle is the only quadrilateral that has rotation symmetry of order 2.

Is she correct? Show how you decide.

Add the correct symbols to this diagram to show that line AB is parallel to line DC.

Clara travels from her home to Stoke.

The distance from her home to Stoke is 100 miles. She travels at an average speed of 50 miles per hour. She stops for 20 minutes on the journey.

Clara arrives in Stoke at 10:10 am.

At what time did she leave home?

This is Nadia’s bar chart to show the number of goals scored by four teams during November.

Blake says

Nadia’s bar chart shows that United scored twice as many goals as City.

Is Blake correct? Give a reason for your answer.

Give one way in which Nadia can improve her bar chart.

Kareem says

Out of these four teams, United achieved the highest mean number of goals per game during November.

What assumption has Kareem made?

Write 3 × 3 × 3 × 3 as a power of 3.

Show that the answer to 2⁶ × 4^-1 is a square number.

Write each of the following ratios in their simplest form.

12: 15

600 g: 1.8 kg

Simplify.

(x⁴)³

Theo invests £500 at a rate of 6% per year simple interest.

Work out the interest he receives in one year.

Work out the value of his investment after 5 years.

A jacket has its price reduced by 20% in a sale. The sale price is £56.

Work out the price of the jacket before the sale.

A bag only contains red, blue, yellow and white counters. A counter is taken at random from the bag. The table shows the probability it is red and the probability it is blue.

There are twice as many yellow counters as white counters in the bag.

Complete the table.

Sketch the graph of x = 3. Show clearly the value of any intercepts.

Sketch the graph of y = x² + 1. Show clearly the value of any intercepts.

Toby has sketched the graph of y = below.

Make two comments about the accuracy of his sketch.

Simplify.

4 a - 2 b - 2 a + 5 b

Multiply out.

4 (x + 3)

Multiply out and simplify.

(x + 5)(x - 2)

The diagram shows a square.

(4 x – 10) cm
Not to scale

(11 – 2 x) cm

By setting up and solving an equation, show that the perimeter of the square is numerically equal to the area of the square.

Dora has the following number cards.

She takes a card at random, replaces the card and then takes a second card. She adds the numbers on the two cards she has taken and records the total.

Complete the following table to show all of her possible totals.

Find the probability that her total is

an even number,

a multiple of 3 or 4.

Charlie and Jasmine share cartons of apple juice. Charlie drinks of a carton every day. Jasmine drinks of a carton every day.

Any apple juice left in a carton at the end of the day is used the following day.

The cost of a carton is 70p. Charlie and Jasmine buy just enough cartons to last them for 10 days.

How much do they spend in total for these cartons? Give your answer in £. Show your working.

A clock chimes every 20 minutes. A light flashes every 8 minutes. The clock chimes and the light flashes together at 08:00.

How many times between 08:01 and 12:30 will the clock chime and the light flash together? Show your working.

A pattern is made from four congruent right-angled triangles.

The line AC is parallel to the x-axis. The point A has coordinates (4, 9) and the point B has coordinates (17, 12).

Work out the coordinates of point C and point D.

Solve the simultaneous equations.

2 x + 3 y = 10 3 x + 5 y = 17

A weather forecast says

• the probability that it will rain on Monday is 0.55

and

• the probability that it will rain on Tuesday is 0.25.

Ella draws a tree diagram to show this information.

Monday Tuesday

Write down three errors that Ella has made with her tree diagram.

AOB is a sector of a circle, centre O.

The area of the sector is 8 cm².

Work out the exact value of the radius, r cm.