YEAR 10 MATHEMATICS TIME: 1h 40min Main Paper

DEPARTMENT FOR CURRICULUM, RESEARCH, INNOVATION AND LIFELONG LEARNING Directorate for Learning and Assessment Programmes Educational Assessment Unit

Annual Examinations for Secondary Schools 2018

YEAR 10

MATHEMATICS Main Paper

Track 3

TIME: 1h 40min

Question 1

2

3

4

5

6

7

8

9

10

11

Total Main

Non Global Calc Mark

Mark

DO NOT WRITE ABOVE THIS LINE

Name: _____________________________________

Class: _______________

Calculators are allowed but all necessary working must be shown. Answer all questions.

Table of Formulae

Curved Surface Area of Right Circular Cone Surface Area of a Sphere Volume of a Pyramid/Right Circular Cone Volume of Sphere Solutions of ax2 + bx + c = 0

rl

4r2

1

base area ? perpendicular height

3

4r3

3

-?2-4

x =

2

Mathematics ? Main Paper ? Year 10 ? Track 3 ? 2018

Page 1 of 12

1. Light takes 8.283 minutes to travel from the surface of the Sun to the Earth.

a) Write this time in hours, giving your answer in standard form.

Ans: _________________ hours

The speed of light is 1.08 ? 109 km/h.

b) Fill in the blanks, giving your answer in standard form:

The distance between the Sun and the Earth is approximately

km.

(4 marks)

2. In the diagrams below, the top brick is the product of the factors in the two bricks below it. Fill in the empty bricks.

Page 2 of 12

5

x + 3

3x2 + 12

3x2 ? 19x ? 14

(4 marks)

Mathematics ? Main Paper ? Year 10 ? Track 3 ? 2018

Name: ____________________________________

Class: ___________

Track 3

3. a) A can of tomato paste has a radius of 3.6 cm and is 11 cm high.

i) Work out the total surface area of the metal used to make the closed cylindrical can.

Ans: Total Surface Area = _________________ cm2 ii) Each can is completely full. Calculate the volume of tomato paste in one can.

Give your answer correct to the nearest cm3.

Ans: Volume = __________________ cm3 b) The supplier is offering a bigger can at the same price.

Its new weight is 600 g instead of 480 g. Fill in the special offer label with the percentage increase.

Mathematics ? Main Paper ? Year 10 ? Track 3 ? 2018

(7 marks)

Page 3 of 12

4. At `Watch It First' cinema complex there are 210 clients watching a particular film. The table and histogram below show the data collected about their ages.

Frequency

Age 0 < age 10 10 < age 20 20 < age 30 30 < age 40 40 < age 50 50 < age 60 60 < age 70

Frequency 10 16 89

21 4

0

a) Use the information above to complete the frequency table and the histogram.

b) What is the modal age group?

Ans: ___________________

c) Estimate the mean age of the clients watching the film.

Ans: ___________________

A one-year cinema ticket is to be drawn as a prize among the clients watching this film. d) What is the probability that the prize winner is aged over 50 years?

Page 4 of 12

Ans: ___________________ (10 marks)

Mathematics ? Main Paper ? Year 10 ? Track 3 ? 2018

Name: ____________________________________

Class: ___________

Track 3

5. From a piece of cardboard Alan cuts out a sector of radius 28 cm, as shown in the diagram below.

235? a) Work out the area of cardboard that he cuts.

b) The curved surface area of a cone is given by A = rl. Make r the subject of this formula.

Ans: _____________ cm2

Ans: r = _____________

c) Alan uses the sector above to form a cone, without overlapping any cardboard. Work out the radius of the base of the cone, giving your answer correct to 1 decimal place.

Mathematics ? Main Paper ? Year 10 ? Track 3 ? 2018

Ans: r = ___________ cm (5 marks)

Page 5 of 12

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