Questions and Worked Solutions for Edexcel GCSE 9 - 1 Mathematics Specimen Paper 1 (No Calculator).

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Edexcel GCSE 9 - 1 Mathematics Specimen Past Paper 1 (Pdf)

Edexcel GCSE 9 - 1 Specimen Paper 1 (No Calculator) Solutions for Questions 1 - 29

1. Change 530 centimetres into metres.

2. How many minutes are there in 3 1/4 hours?

3. Write 4.4354 correct to 2 decimal places.

4. Write 0.9 as a percentage.

5. Work out (–3)

6. Here are four cards.

There is a number on each card.

4, 5, 2, 1

(a) Write down the largest 4-digit even number that can be made using each card only once.

(b) Write down all the 2-digit numbers that can be made using these cards.

7. The table shows information about the sports some students like best.

Hockey, Tennis, Football, Golf

Boys: 3, 8, 15, 9

Girls: 6, 14, 7, 1

Draw a suitable diagram or chart for this information.

8. Bernard says,

“When you halve a whole number that ends in 8, you always get a number that ends in 4”

(a) Write down an example to show that Bernard is wrong.

Alice says,

“Because 7 and 17 are both prime numbers, all whole numbers that end in 7 are prime numbers.”

(b) Is Alice correct?

You must give a reason with your answer.

9. Work out 247 × 63

10. An American airline has a maximum size for bags on its planes.

The diagram shows the maximum dimensions.

height = 22 inches, width = 14 inches, depth = 9 inches

Chris has a bag. It has height 50 cm, width 40 cm, depth 20 cm

1 inch = 2.54 cm

Can Chris take this bag on the plane?

You must show your working.

12. There are 28 red pens and 84 black pens in a bag.

Write down the ratio of the number of red pens to the number of black pens.

Give your ratio in its simplest form.

13. Here is a sequence of patterns made with grey square tiles and white square tiles.

(a) In the space below, draw pattern number 4

(b) Find the total number of tiles in pattern number 20

(c) Write an expression, in terms of n, for the number of grey tiles in pattern number n.

14. A unit of gas costs 4.2 pence.

On average Ria uses 50.1 units of gas a week.

She pays for the gas she uses in 13 weeks.

(a) Work out an estimate for the amount Ria pays.

(b) Is your estimate to part (a) an underestimate or an overestimate?

Give a reason for your answer.

15. This is a scale plan of a rectangular floor.

Mrs Bridges is going to cover the floor with boards. Each board is rectangular in shape. Each board is 1.2m long and 1m wide.

Mrs Bridges has 150 boards. Does she have enough boards?

You must show how you get your answer.

16. Work out the area of the shape.

17. On the grid, rotate the triangle 90° clockwise about (0, 0).

18. There are 500 passengers on a train.

7/20 of the passengers are men.

40% of the passengers are women.

The rest of the passengers are children.

Work out the number of children on the train.

19. A shop sells milk in 1 pint bottles and in 2 pint bottles.

Each 1 pint bottle of milk costs 52p.

Each 2 pint bottle of milk costs 93p.

Martin has no milk.

He assumes that he uses, on average, 3/4 of a pint of milk each day.

Martin wants to buy enough milk to last for 7 days.

(a) Work out the smallest amount of money Martin needs to spend on milk. You must show all your working.

Martin actually uses more than 3/4 of a pint of milk each day.

(b) Explain how this might affect the amount of money he needs to spend on milk.

20. The diagram shows a right-angled triangle.

Work out the size of the smallest angle of the triangle.

21. A box exerts a force of 140 newtons on a table.

The pressure on the table is 35 newtons/m

Calculate the area of the box that is in contact with the table.

22. There are only red counters, blue counters, green counters and yellow counters in a bag.

The table shows the probabilities of picking at random a red counter and picking at random a yellow counter.

Colour: red, blue, green, yellow

Probability: 0.24, 0.32

The probability of picking a blue counter is the same as the probability of picking a green counter.

Complete the table.

23. A pattern is made using identical rectangular tiles.

Find the total area of the pattern.

24. The diagram shows a sand pit.

The sand pit is in the shape of a cuboid.

Sally wants to fill the sand pit with sand.

A bag of sand costs £2.50

There are 8 litres of sand in each bag.

Sally says,

“The sand will cost less than £70”

Show that Sally is wrong.

25. Four friends each throw a biased coin a number of times.

The table shows the number of heads and the number of tails each friend got.

The coin is to be thrown one more time.

(a) Which of the four friends' results will give the best estimate for the probability that the coin will land heads?

Justify your answer.

Paul says,

“With this coin you are twice as likely to get heads as to get tails.”

(b) Is Paul correct?

Justify your answer.

The coin is to be thrown twice.

(c) Use all the results in the table to work out an estimate for the probability that the coin will land heads both times.

26. (a) Write down the exact value of cos30°

(b) Given that sin30° = 0.5, work out the value of x.

27. Expand and simplify (x + 3)(x – 1)

28. Factorise x

29. Solve the simultaneous equations

4x + y = 25

x – 3y = 16

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