Edexcel GCSE 9 - 1 Mathematics Specimen - Paper 2

Questions and Worked Solutions for Edexcel GCSE 9 - 1 Mathematics Specimen Paper 2 (Calculator).
Edexcel GCSE 9 - 1 Mathematics Specimen Past Paper 2 (Pdf)

Edexcel GCSE 9 - 1 Specimen Paper 2 (Calculator) Solutions for Questions 1 - 22

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1. Write down the value of the 3 in 16.35.
2. Here is a list of six numbers.
   1, 3, 6, 9, 12, 24
   Which number in the list is not a factor of 24?
3. Write 0.21 as a fraction.
4. (a) Simplify 5f – f + 2f
   (b) Simplify 2 × m × n × 8
   (c) Simplify t² + t²
5. A shop sells pens at different prices.
   The cheapest pens in the shop cost 27p each.
   Lottie buys 18 pens from the shop.
   She pays with a £10 note.
   (a) If Lottie buys 18 of the cheapest pens, how much change should Lottie get?
   Instead of buying the cheapest pens, Lottie buys 18 of the more expensive pens.
   She still pays with a £10 note.
   (b) How does this affect the amount of change she should get?
6. Michelle and Wayne have saved a total of £458 for their holiday.
   Wayne saved £72 more than Michelle.
7. Work out 70% of £90
   
8. Here are four fractions.
   1/2, 17/24, 3/4, 5/12
   Write these fractions in order of size.
   Start with the smallest fraction.
9. What percentage of this shape is shaded?
   
10. The manager of a clothes shop recorded the size of each dress sold one morning.
    The sizes of dresses are always even numbers.
    The mean size of the dresses sold that morning is 15.3
    The manager says,
    “The mean size of the dresses is not a very useful average.”
    (i) Explain why the manager is right.
    (ii) Which is the more useful average for the manager to know, the median or the mode?
    You must give a reason for your answer.

11. In a shop, the normal price of a coat is £65.
    The shop has a sale.
    In week 1 of the sale, the price of the coat is reduced by 20%
    In week 2 of the sale, the price of the coat is reduced by a further £10
    Maria has £40
    Does Maria have enough money to buy the coat in week 2 of the sale?
    You must show how you get your answer.
    
12. The length of a car is 3.6 metres.
    Karl makes a scale model of the car.
    He uses a scale of 1 cm to 30 cm.
    Work out the length of the scale model of the car.
    Give your answer in centimetres.
    
13. Here are the heights, in centimetres, of 15 children.
    123, 147, 135, 150, 147,
    129, 148, 149, 125, 137,
    133, 138, 133, 130, 151
    (a) Show this information in a stem and leaf diagram.
    One of the children is chosen at random.
    (b) What is the probability that this child has a height greater than 140 cm?
    
14. (a) Write down the coordinates of point C.
    ABCD is a square.
    (b) On the grid, mark with a cross (X) the point D so that ABCD is a square.
    (c) Write down the coordinates of the midpoint of the line segment BC.
    
15. (a) Work out 4/5 of 210 cm. (b) Work out (6 – 2.5)² + √(9.34 - 2.58)
    
16. (a) Solve 4c + 5 = 11
    (b) Solve 5(e + 7) = 20
    (c) Simplify (m³)²
    
17. ABC is a right-angled triangle.
    P is a point on AB.
    Q is a point on AC.
    AP = AQ.
    Work out the size of angle AQP.
    You must give a reason for each stage of your working.
    
18. Here is a list of ingredients for making 16 mince pies.
    Ingredients for 16 mince pies
    240 g of butter
    350 g of flour
    100 g of sugar
    280 g of mincemeat
    Elaine wants to make 72 mince pies.
    How much of each ingredient will Elaine need?.
    
19. Lethna worked out 2/5 + 1/2
    She wrote:
    2/5 + 1/2 = 2/10 + 1/10 = 3/10
    The answer of 3/10 is wrong.
    (a) Describe one mistake that Lethna made.
    Dave worked out 1 1/2 × 5 1/3
    He wrote:
    1 × 5 = 5 and 1/2 × 1/3 = 1/6
    so 1 1/2 × 5 1/3 = = 5 1/6
    The answer of 5 1/6 is wrong.
    (b) Describe one mistake that Dave made.

20. Make t the subject of the formula w = 3t + 11
    
21. Three companies sell the same type of furniture.
    The price of the furniture from Pooles of London is £1480
    The price of the furniture from Jardins of Paris is €1980
    The price of the furniture from Outways of New York is $2250
    The exchange rates are
    £1 = €1.34
    £1 = $1.52
    Which company sells this furniture at the lowest price?
    You must show how you get your answer.
    
22. The time-series graph gives some information about the number of pairs of shoes sold in a shoe shop in the first six months of 2014
    The sales target for the first six months of 2014 was to sell a mean of 96 pairs of shoes per month.
    Did the shoe shop meet this sales target?
    You must show how you get your answer.
    
23. The grouped frequency table gives information about the heights of 30 students.
    (a) Write down the modal class interval.
    This incorrect frequency polygon has been drawn for the information in the table.
    (b) Write down two things wrong with this incorrect frequency polygon.
    
24. At 9 am, Bradley began a journey on his bicycle.
    From 9 am to 9.36 am, he cycled at an average speed of 15 km/h.
    From 9.36 am to 10.45 am, he cycled a further 8 km.
    (a) Draw a travel graph to show Bradley’s journey.
    From 10.45 am to 11 am, Bradley cycled at an average speed of 18 km/h.
    (b) Work out the distance Bradley cycled from 10.45 am to 11 am.
    
25. Toby invested £7500 for 2 years in a savings account.
    He was paid 4% per annum compound interest.
    How much money did Toby have in his savings account at the end of 2 years?
    
26. Becky has some marbles.
    Chris has two times as many marbles as Becky.
    Dan has seven more marbles than Chris.
    They have a total of 57 marbles.
    Dan says,
    “If I give some marbles to Becky, each of us will have the same number of marbles.”
    Is Dan correct?
    You must show how you get your answer.
    
27. Here is a diagram showing a rectangle, ABCD, and a circle.
    BC is a diameter of the circle.
    Calculate the percentage of the area of the rectangle that is shaded.
    Give your answer correct to 1 decimal place.
    
28. ABCD is a trapezium.
    A square has the same perimeter as this trapezium.
    Work out the area of the square.
    Give your answer correct to 3 significant figures.

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