ST. CLARE COLLEGE SECONDARY SCHOOL - PEMBROKE HALF-YEARLY EXAMINATIONS FEBRUARY FORM 3 MATHEMATICS TIME: 1h 30min

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1 ST. CLARE COLLEGE SECONDARY SCHOOL - PEMBROKE HALF-YEARLY EXAMINATIONS FEBRUARY 2014 FORM 3 MATHEMATICS TIME: 1h 30min MAIN PAPER Question Mark Total Main Non- Calculator Global Mark DO NOT WRITE ABOVE THIS LINE Name: Class:! Answer all questions.! This paper carries 75 marks.! Calculators and other mathematical instruments are allowed but all necessary working must be shown. Mathematics/Form 3/Main Track 2/2014/Page 1 of 8

2 1. Karl bought a Blu-ray player which its original cost was 200. He benefited from a discount of 35%. a) How much did he save? Ans: b) How much did Karl pay for the Blu-ray player? Ans: 2. Simplify the following. a) a b Ans: b) 4 c c Ans: c) 4d 2d Ans: d) 4e! 5f! 3e! + 4f! Ans: 3. a) Expand and simplify: 6 x (x 3). b) Factorise: 6xyz 8yz + 10xy Ans: Ans: Mathematics/Form 3/Main Track 2/2014/Page 2 of 8

3 4. Each solid is made using centimetre cubes. Find the volume and the surface area of the following shape. The volume of a cube is 1 cm 3 a) Ans: Volume = b) Ans: Surface Area = 5. a) Work out the value of angles A, B and C. Ans: A = B = C = b) Angles A and C are called interior angles. What can you say about interior angles? Ans: 6. Look at this diagram. a) Underline the correct answer. Angle A = 35 because of the (alternate, corresponding, interior) angle fact. b) Work out the value of angle B. Give a reason for your answer. Ans: B = ( ) c) What name is given to angle A + B? Ans: d) Work out the value of angle C. Ans: C = (5 marks) Mathematics/Form 3/Main Track 2/2014/Page 3 of 8

4 7. a) Use your calculator to work out: Give your answer: i) to 3 decimal places Ans: ii) to 3 significant figures Ans: b) Give an estimate for: Ans: (5 marks) 8. a) The diagram shows a regular pentagon. Use exterior angles to explain why the sum of interior angles of the pentagon is 540. a) The next diagram shows a regular nonagon. Work out the size of an interior angle. c) A regular pentagon and a regular nonagon have sides of the same length. They are joined along one side to make a new polygon. How many sides does the new polygon have? Ans: Ans: sides (5 marks) Mathematics/Form 3/Main Track 2/2014/Page 4 of 8

5 9. Here is how Alison s school week is divided up (in hours). Activities/ Lessons Number of Hours Angle in Pie Chart Assembly & Breaks Maths Science English Languages Humanities Physical Exercise a) Fill in the blanks in the above table. b) Show the given data on the pie-chart. (5 marks) 10. a) The perimeter of this rectangle is 34 cm. i) Write down an equation for the perimeter P Ans: P = ii) Solve your equation to find x. Ans: x = b) Solve 2 x + 7 = 20. Ans: x = (6 marks) Mathematics/Form 3/Main Track 2/2014/Page 5 of 8

6 11. Alison did a survey of the makes of cars of the parents of her classmates owned. Her results were as follows: a) Complete this table to show these results. Car Tally Frequency Ford Volvo Peugeot Volkswagen Citroen Vauxhall b) Draw a pictogram to show these results. Car Pictogram Ford Volvo Peugeot Volkswagen Citroen Vauxhall c) Give a key to the pictogram drawn in part b). Ans: (6 marks) Mathematics/Form 3/Main Track 2/2014/Page 6 of 8

7 12. This graph shows the distance travelled by Gabriella in a particular time. a) What is the distance travelled? Ans: km b) What is the time taken by Gabriella? Ans: hours c) Hence, calculate her average speed. Ans: km/h (6 marks) 13. A disc has a diameter of 42 cm. a) If the formula for the circumference is C = πd (where C is the circumference, π =!! and d is the diameter), work out the length of the circumference.! Ans: cm The circle in the centre which contains no information. The radius of the circle is 3.5 cm. b) If the formula for the area is A = πr! (where A is the area, π =!! and r is the radius),! work out the area of the small circle. c) Work out the area of the disc that contains information. Ans: cm 2 Ans: cm 2 (8 marks) Mathematics/Form 3/Main Track 2/2014/Page 7 of 8

8 14. a) Fill in the blanks: i) = ii) = iii) = b) Show that each of your answer to part a) is a multiple of 3. c) These algebra cards represent three consecutive numbers. Write down the missing expressions, on the two empty cards. N d) Use the expressions on the three cards to show that the sum of any three consecutive numbers is a multiple of 3. END OF PAPER (9 marks) Mathematics/Form 3/Main Track 2/2014/Page 8 of 8

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