Practice Paper 2 May 2016 Higher Tier Edexcel Style Calculator allowed
Time
1 Hour 45 minutes
Marks Available 100
Commissioned by The PiXL Club Ltd. 1
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Question 1 A spinner can land on yellow or green or white. The table show the probabilities that the spinner will land on yellow or green. Colour
Probability
Yellow
Green
0.34
0.53
White
Work out the probability that the spinner will land on white.
………………………. (Total 2 marks)
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Question 2 Use your calculator to work out
14.3 + 6.32 2.61 × 3.89
Write down all the figures on your calculator display. You must give your answer as a decimal.
……….……………………. (Total 2 marks)
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Question 3
Here are the ages of 15 doctors. 35
52
42
27
36
23
31
41
50
34
44
28
45
45
53
Draw an ordered stem and leaf diagram to show this information.
(Total 3 marks)
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Question 4
m=3 𝑛 = −5 Work out the value of 2𝑚 + 3𝑛
…………………..
(Total 2 marks)
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Question 5 The nth term of a number sequence is 𝑛3 + 2 Write down the first three terms of the sequence.
………………………………………………………………… (Total 2 marks)
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Question 6 The scatter graph shows some information about 10 cars. It shows the time, in seconds, it takes each car to go from 0 mph to 60 mph. For each car, it also shows the maximum speed, in mph.
(a) What type of correlation does this scatter graph show?
…………………………. (1) The time a car takes to go from 0 mph to 60 mph is 12 seconds. (b) Estimate the maximum speed for this car.
…………………mph (2) (Total 3 marks)
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Question 7 On the grid, draw the graph of 𝑦 = 2𝑥 − 3 for values of 𝑥 from -2 to 3.
A small box contains 350 g and costs £2.69 A large box contains 750 g and costs £4.39 Which size of box gives the better value for money? Explain your answer. You must show all your working.
(Total 3 marks)
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Question 10 There are some marbles in a jar. 16 of the marbles are green. 12 of the marbles are blue. (a) Write down the ratio of the number of green marbles to the number of blue marbles. Give your ratio in its simplest form.
………… (2)
There are some pens and pencils in a box. The total number of pens and pencils is 48. The ratio of the number of pens to the number of pencils is 1:5.
(b) Work out the number of pencils in the box.
…………… (2)
(Total 4 marks)
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Question 11
𝑦
𝑂
𝑥
On the grid, enlarge the shaded shape by a scale factor of 2, centre O
(Total 3 marks)
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Question 12 The equation 𝑥 3 + 19𝑥 = 65 has a solution between 2 and 3. Use a trial and improvement method to find this solution. Give your answer correct to one decimal place. You must show ALL your working.
𝑥 = … … … … … … …. (Total 4 marks)
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Question 13 The scale of a map is 1 : 25 000 (a) The distance between a school and the post office is 1.8 cm on the map. Work out the true distance in m.
…………………..m (2) (b) It is 5 km between two villages. Calculate the distance on the map in cm.
…………………..cm (2)
(Total 4 marks)
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Question 14
Diagram NOT accuractely drawn
𝑦 =+𝑥3 4𝑥 2𝑥 + 5
4𝑥 − 1
In the diagram, all measurements are in centimetres. The lengths of the sides of the triangle are 2𝑥 + 5 4𝑥 + 3 4𝑥 − 1 (a) Find an expression in terms of 𝑥, for the perimeter of the triangle. Give your expression in its simplest form.
……………………………………………….. (2) The perimeter if the triangle is 42 cm. (b) Find the value of 𝑥.
…………………………….. (2) (Total 4 marks) 16
Question 15 Shofique recorded the times, in minutes, taken to repair 80 car tyres. Information about these times is shown in the table. Time ( t minutes)
