advertisement

Using Standard Form to Solve Problems Maths (Higher Level) (All of these questions should be attempted without a calculator) Section A – Multiplying and Dividing a) (4 x 103) x (3 x 105) b) (6 x 105) x (3 x 104) c) (5 x 106) x (4 x 109) d) (2.5 x 10-3) x (5 x 10-8) e) (8 x 105) ÷ (2 x 103) f) (9 x 102) ÷ (3 x 10-4) Section B – Adding and Subtracting a) (2 x 102) + (3 x 103) b) (2 x 101) + (4 x 103) c) (7.1 x 103) + (2.4 x 102) d) (5.2 x 104) + (3.2 x 102) e) (1 x 10-1) – (2 x 10-2) f) (3.4 x 103) – (2 x 101) Section C – ‘Real-Life’ Problems a) The mass of Jupiter is approximately 1.90 x 1027 Kg. Write this mass as an ordinary number. b) The speed of radio waves is 3 x 108 m/s. How long will it take for a radio wave to travel 900km. (Remember Time = Distance / Speed). c) What distance will the radio waves travel in 0.02 seconds. (Remember that Distance = Speed x Time). d) 32g of sulphur contains approximately 4 x 1023 atoms. What is the mass of 1 atom of sulphur. e) The mass of an atom of hydrogen is 1.66 x 10-24. The mass of an atom of carbon is 1.99 x 10-23. Which is heavier, and by how much. Extension Can you find the ‘Prime Factorisation’ of these numbers : a) 150 b) 260 c) 500 d) 1271