Edexcel GCSE Maths Paper 3: Calculator Foundation June 2024 question paper 1MA1/3F

Write 23% as a fraction.

Change 800 centimetres to metres.

Write down the value of the 3 in the number 62 837

Simplify 7a + a – 5a

Write the following fractions in order of size. Start with the smallest fraction.

A map has a scale of 1 cm represents 4 km. On the map, the distance from town A to town B is 8 cm.

Work out the real distance, in km, from town A to town B.

The real length of a road is 10 km.

Work out the length of the road on the map. Give the units of your answer.

Julie asks some students how they travel to school. The chart shows her results.

Write down which method of travel is the mode.

More students walk to school than cycle to school.

How many more?

Aisha was born in 1993 There was an election in the year of Aisha’s 18th birthday. There is an election every 5 years. Will there be an election in 2030? You must show how you get your answer.

Lucia is going on a skiing holiday. The cost of ski hire is £26 per day. The cost of a lift pass is £45 per day. The cost of ski lessons is £23.50 per hour. Lucia will pay for ski hire for 5 days a lift pass for 4 days ski lessons for 8 hours. Lucia has £500 Show that Lucia has enough money to pay for the total cost of ski hire, the lift pass and the ski lessons.

Here is a circle.

On the diagram above, draw a radius of the circle. Here is another circle.

Write down the mathematical name for the straight line inside this circle.

There are 8 episodes in a TV series. Each episode lasts 45 minutes. Work out the total time that the 8 episodes last. Give your answer in hours.

Write down three prime numbers that are between 20 and 40

James asks students in Year 10 and Year 11 to name their favourite language from French or German or Spanish. The two‑way table shows information about his results.

Complete the two‑way table.

The table gives information about the drinks people ordered in a cafe.

Draw an accurate pie chart for this information.

Which is greater 15% of 88 or 20% of 62? You must show all your working.

Simplify m ×mm×m

In a competition, a player gets 5 points for each game they win 2 points for each game they draw 0 points for each game they lose. Amy wins x games and draws y games.

Write down an expression, in terms of x and y, for the total number of points Amy gets.

Here are the ingredients needed to make 20 shortbread biscuits.

Heidi wants to make 30 shortbread biscuits. How much of each ingredient will Heidi need?

On the grid above, rotate the shaded shape 180 about (0, 0)

Mike was asked to ‘Reflect shape A in the line with equation x = 3’ Mike’s answer is shown on the grid. His answer is wrong.

Explain why.

On the grid below, draw the graph of y = 3 x – 2 for values of x from –2 to 3

ABC and BCD are isosceles triangles.

AB = BC = CD Angle CAB = 81 Angle BCD = 4×angle ABC Find the size of angle ABC: the size of angle CBD Give your answer in the form 1:n You must show all your working.

Factorise 6 x – 15

Factorise m² + 5m

Find the highest common factor (HCF) of 63 and 105

Write 5.3×10⁴as an ordinary number.

Write 7.4×10^–5as an ordinary number.

Calculate the value of 9.7×10⁶ + 2.45×10⁷ Give your answer in standard form.

The diagram shows a solid triangular prism.

Rana is trying to draw the side elevation of the solid prism from the direction of the arrow. Here is her answer on a centimetre grid.

Explain why Rana’s side elevation is not correct.

On the centimetre grid below, draw a plan of the solid prism.

A company has 25 000 workers. The number of workers increases at a rate of 6% per year for 3 years. Calculate the total number of workers at the end of the 3 years.

Habib has two identical tins. He puts 600 grams of flour into one of the tins. The flour fills the tin completely. The density of the flour is 0.6 g/cm³ Habib puts 600 grams of salt into the other tin. The salt does not fill the tin completely. The volume of the space in the tin that is not filled with salt is 700 cm³ Work out the density of the salt. You must show all your working.

Tim has two biased coins, coin A and coin B. He is going to throw both coins. The probability that coin A will land on heads is 0.6 The probability that coin B will land on heads is 0.55

Complete the probability tree diagram.

Tim throws coin A once and he throws coin B once.

Work out the probability that both coins land on heads.

A paddling pool is in the shape of a cylinder.

The pool has radius 100 cm. The pool has depth 30 cm. The pool is empty. It is then filled with water at a rate of 250 cm³ per second. Work out the number of minutes it takes to fill the pool completely. Give your answer correct to the nearest minute. You must show all your working.

w = 40 – t²

Calculate the value of w when t = –5

Make h the subject of the formula.