________________________________________________________________________________ GRADE : 9 SUBJECT :MATHEMATICS Name of the Student: Signature of the Examiner: Marks obtained: _________________________________________________________________________________ 2M Page 1 of 10 3M 3M Page 2 of 10 4. (a) Simplify 𝑚12 ÷ 𝑚3 1M 2M 3M Page 3 of 10 6. Anne returns from Sweden with 320 Swedish krona. She changed the 320 Swedish krona into Canadian dollars. Using the following exchange rates, 1 Canadian dollar = 0.57 Euros 1 Swedish krona = 0.094 Euros calculate the amount, to 2 decimal places, of Canadian dollars that Anne should have received. 3M 7. Solve the equation 5𝑥 2 + 9𝑥 – 7 = 0. Give your solutions to 3 significant figures.Show your working clearly. Page 4 of 10 3M 8. Solve the equation (2𝑥 − 5) (3𝑥 + 1) = 4 Give your solutions to 3 significant figures.Show your working clearly. 9. 4M In a race, Akaash ran a distance of (8𝑥 2 – 105) metres in (6𝑥 +1) seconds. His average speed for the race was 𝑥 m/s. (a) Show that 𝑥 satisfies the equation 2𝑥 2 − 𝑥 −105 = 0 (b) Hence calculate the distance, in metres, that Akaash ran in the race. Show clear algebraic working. Page 5 of 10 5M A, C, B and D are four points on a circle. The chord AB intersects the chord CD at P. AP = 7 cm, PB = 5cm and PD = 4 cm. Calculate, in cm, the length of CP. 2M 3M Page 6 of 10 3M Page 7 of 10 4M Page 8 of 10 9M Page 9 of 10 Page 10 of 10