S. 2 Mtc Exr 2 (1) Caltec S.2

S.2 MTC EXERCISE 02  You are advised to personally do this tutorial first , discuss your results with it anyone, if possible; and then check out the solutions that will follow tomorrow, with Exercise 03  This exercise is marked out of 40 1. Arrange the following fractions in ascending order. (04 marks) 23 ⁄ , 34⁄ , 18 ⁄ , 215⁄ , 710⁄ 2. Express 𝟐.𝟏𝟐𝟏𝟐𝟏𝟐𝟏𝟐 ……. as a fraction in its lowest terms. (04 marks) 3. Musa is facing in the direction ENE. In which new direction does he face when he turns through (i) 270° Clockwise? (ii) 45° anticlockwise? (04 marks) 4. A trader bought 5 Shirts at Shs. 12,000 each. He sold 3 shirts at Shs. 15,000 and 2 shirts at Shs. 14,000. Calculate the overall percentage profit from the sale of the shirts. (04 marks) 5. Given that 𝟏𝟏𝟑 𝟏𝟎 is equal to 𝟑𝟎𝟓 𝒏. Determine the unknown base, 𝒏. (04 marks) 6. Determine the Equation of a line through the point (𝟏,−𝟓) , parallel t o the line 𝒚= 𝟓 𝟐 𝒙 − 𝟒 (04 marks) 7. Simplify: 4 2 3 − (3 4 𝑜𝑓 14 5) (1 6 𝑜𝑓 5) . (04 marks) 8. Find the area of the shaded part given that AO = 3.5 m (04 marks) 9. Solve the inequality 3𝑥 5 + (5𝑥 −2) 3 ≥ 9 (04 marks) 10. Given that at Stanhope Forex Bureau 1 𝑃𝑜𝑢𝑛𝑑 𝑠𝑡𝑒𝑟𝑙𝑖𝑛𝑔 = 1.5 𝑈.𝑆 𝑑𝑜𝑙𝑙𝑎𝑟𝑠 and 1 𝑃𝑜𝑢𝑛𝑑 𝑠𝑡𝑒𝑟𝑙𝑖𝑛𝑔 = 150 𝐾𝑒𝑛𝑦𝑎 𝑆ℎ𝑖𝑙𝑙𝑖𝑛𝑔𝑠 . Rhoda visits the Bureau with 𝐾𝑆ℎ𝑠.750 ,000 Before leaving for United States. Calculate the amount of money in 𝑈.𝑆 𝑑𝑜𝑙𝑙𝑎𝑟𝑠 she is given before leaving. (04 marks)