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Questions and Worked Solutions for Edexcel GCSE Mathematics November 2015 Paper 2 (Calculator).

Edexcel GCSE Mathematics November 2015 Past Paper 2 (Pdf)

Edexcel GCSE November 2015 Paper 2 Questions 1 - 3

- Here are the lengths, in cm, of 15 tables.

28, 51, 42, 23, 63, 38, 44, 29, 32, 37, 61, 35, 39, 41, 25

Draw an ordered stem and leaf diagram for these lengths. - A delivery driver records for each delivery the distance he drives and the time taken.

The scatter graph shows this information.

For another delivery he drives 22 kilometres and takes 50 minutes.

(a) Show this information on the scatter graph.

(b) What type of correlation does the scatter graph show?

The driver has to drive a distance of 10 km for his next delivery.

(c) Estimate the time taken for this delivery.

During one of the deliveries, the driver was delayed by road works.

(d) Using the graph write down the time taken for this delivery. - Ali is y years old.

Bhavara is twice as old as Ali.

Ceris is 3 years younger than Ali.

The total of their ages is 125 years.

Work out the age of each person.

Edexcel GCSE November 2015 Paper 2 Questions 4 - 6

4. There are 18500 gallons of fuel in a fuel tank.

The fuel is pumped from the fuel tank into a plane at a rate of 1700 litres per minute.

1gallon = 4.5litres.

How many minutes will it take to empty the fuel tank completely?

Give your answer to the nearest minute.

5. Celina and Zoe both sing in a band.

One evening the band plays for 80 minutes.

Celina sings for 65% of the 80 minutes.

Zoe sings for 5/8 of the 80 minutes.

Celina sings for more minutes than Zoe sings.

Work out for how many more minutes.

You must show all your working.

6. A rectangle has an area of 4 m^{2}. Write this area in cm^{2}

Edexcel GCSE November 2015 Paper 2 Questions 7 - 9

7. Here is part of a field.

This part of the field is in the shape of a trapezium.

A farmer wants to put a fence all the way around the edge of this part of the field.

The farmer has 50m of fence.

Does he have enough fence?

You must show all your working.

8. Toothpaste is sold in three different sizes of tube.

50ml, 75ml, 125ml

A 50ml tube costs £1.09

A 75ml tube costs £1.68

A 125ml tube costs £2.69

Which tube of toothpaste is the best value for money?

You must show all your working.

(Total for Question 8 is 4 marks)

9. Use ruler and compasses to construct the perpendicular bisector of the line segment AB. You must show all your construction lines.

Edexcel GCSE November 2015 Paper 2 Questions 10 - 12

10. A coach travels from Dronston to Luscoe.

The travel graph for this journey is shown below.

(a) Work out the average speed of the coach, in kilometres per hour, for the first 10 minutes of the journey.

The coach stops in Luscoe for 15 minutes.

The coach then returns to Dronston at a constant speed of 42km/h.

(b) Show this information on the travel graph.

11. (a) Solve 3x^{2} = 147

(b) Work out the value of 2^{-3}

(c) Simplify (3x^{2})^{2}

w = 4p – 16

(d) Make p the subject of this formula.

12. Describe fully the single transformation that maps triangle A onto triangle B.

Edexcel GCSE November 2015 Paper 2 Questions 13 - 15

13. (a) Given that x and y are integers such that

3 < x < 7

4 < y < 9

and x + y = 13

find all the possible values of x.

(b) On the grid below show, by shading, the region defined by the inequalities

y ≥ –1, y ≤ 4 – x, y ≤ 3x – 1

Mark this region with the letter R.

14. Each year Wenford Hospital records how long patients wait to be treated in the Accident and Emergency department.

In 2015 patients waited 11% less time than in 2014

In 2015 the average time patients waited was 68 minutes.

(a) Work out the average time patients waited in 2014

Give your answer to the nearest minute.

The hospital has a target to reduce the average time patients wait to be treated in the Accident and Emergency department to 60 minutes in 2016

(b) Work out the percentage decrease from 68 minutes to 60 minutes.

15. B, C and D are points on the circumference of a circle, centre O.

BOD is a diameter of the circle.

AO = 7 cm, Angle ABO = 90°, Angle OAB = 35°, Angle DBC = 70°

(a) Explain why angle BCD is 90°

(b) Calculate the length of BC.

Give your answer correct to 3 significant figures.

Edexcel GCSE November 2015 Paper 2 Questions 16 - 18

16. (a) Write 640 000 000 in standard form.

(b) Work out (3 × 10^{7}) ÷ (6 × 10^{4})

Give your answer in standard form.

17. L_{1} and L_{2} are parallel lines.

The equation of L_{1} is y = 3x + 2

L_{2} passes through the point (3, 4).

Find an equation for L_{2}.

18. The box plot shows information about the number of countries competing in each Winter Olympic Games since 1948

(a) Write down the median.

(b) Work out the interquartile range.

The table below shows information about the number of countries competing in each Summer Olympic Games since 1948

(c) Compare the two distributions.

Edexcel GCSE November 2015 Paper 2 Questions 19 - 22

19. The value of p is 4.3

The value of q is 0.4

Both p and q are given correct to the nearest 0.1

(a) Write down the lower bound for p.

r = p + 1/q

(b) Work out the upper bound for r.

You must show all your working.

20. Here are two watch faces, A and B.

Both watch faces are circular with radius 2cm.

The materials used to make both watch faces have the same thickness.

A is made entirely of plastic.

B has a 20° sector of metal and a 340° sector of plastic.

The ratio of the cost per cm^{2} of the metal to the cost per cm^{2} of the plastic is 3:2

Work out the ratio of the cost of the materials for A to the cost of the materials for B.

Give your answer in its simplest form.

You must show all your working.

21. 148 students went to Brighton.

Each student went to the Aquarium or the Brighton Wheel or the Royal Pavilion.

The table gives information about these students.

The teacher takes a sample of 40 of these students.

The sample is stratified by gender and by place visited.

Work out the number of students in the sample who are female and went to the Brighton Wheel.

22. Alison is using the quadratic formula to solve a quadratic equation.

She substitutes values into the formula and correctly gets

Work out the quadratic equation that Alison is solving.

Give your answer in the form ax^{2} + bx + c = 0, where a, b and c are integers.

Edexcel GCSE November 2015 Paper 2 Questions 23 - 25

23. Here is the graph of y = sin x° for –180 ≤ x ≤ 180

(a) On the grid above, sketch the graph of y = sin x° + 2 for –180 ≤ x ≤ 180

Here is the graph of y = cos x° for –180 ≤ x ≤ 180

(b) On the grid above, sketch the graph of y = –2 cos x° for –180 ≤ x ≤ 180

24. ABC is a triangle.

AC = 8.4m

Angle ACB = 40°

The area of the triangle = 100m^{2}.

Work out the length of AB.

Give your answer correct to 3 significant figures.

You must show all your working.

25. Nomusa has 30 sweets.

She has

18 fruit sweets

7 aniseed sweets

5 mint sweets

Nomusa is going to take at random two sweets.

Work out the probability that the two sweets will not be the same type of sweet.

You must show all your working.

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