advertisement

GCSE Higher Revision Starters 4 Grade D – One number as a % of another Write these as percentages 8 out of 10 3 out of 5 7 out of 25 17 out of 50 1 out of 20 124 out of 200 84 out of 400 In a class of 20 there are 8 boys. What percentage of the class are girls? A gardener plants 7 seeds and only 3 of them grow. What percentage of the seeds grew? Grade D – One number as a % of another Write these as percentages 8 out of 10 3 out of 5 7 out of 25 17 out of 50 1 out of 20 124 out of 200 84 out of 400 80% 60% 28% 34% 5% 62% 21% In a class of 20 there are 8 boys. What percentage of the class are girls? 40% A gardener plants 7 seeds and only 3 of them grow. What percentage of the seeds grew? 42.9% Grade B Number – Standard Form Write these numbers into ordinary form 3 x 105 6.4 x 103 2.81 x 106 6 x 10-2 5.9 x 10-4 3.783 x 10-7 Write these numbers into standard form 560000 3040 391000000 0.007 0.0000064 0.21 Calculate, giving your answers in standard form 3.4 x 102 + 4.18 x 104 2.11 x 105 - 9.6 x 103 4 x 10-2 + 6.3 x 10-1 5.7 x 105 - 2.6 x 10-3 Grade B Number – Standard Form Write these numbers into ordinary form 3 x 105 300000 6.4 x 103 6400 2.81 x 106 2810000 6 x 10-2 0.06 5.9 x 10-4 0.00059 3.783 x 10-7 0.0000003783 Write these numbers into standard form 560000 5.6 x 105 3040 3.04 x 103 391000000 3.91 x 108 0.007 7 x 10-3 0.0000064 6.4 x 10-6 0.21 2.1 x 10-1 Calculate, giving your answers in standard form 3.4 x 10 + 44.18 x 104 4.214 x210 5 -5 9.6 x 103 2.11 2.014x x1010 -1 6.3 x 10-1 -2 + x 10 43.4 x 10 5.7 xx 10 1055 - 2.6 x 10-3 5.7 Grade B – Calculating with Standard Form Work these out without a calculator (3 x 105) x (2 x 103) (6 x 103) x (7 x 107) (3.2 x 102) x (5 x 108) (2 x 10-2) x (4 x 107) (2.1 x 10-5) x (2 x 10-2) (8 x 10-5) x (4 x 10-4) Work these out without a calculator (8 x 109) ÷ (2 x 103) (2.6 x 103) ÷ (1.3 x 108) (2 x 106) ÷ (4 x 102) (9 x 1012) ÷ (3 x 106) (6 x 104) ÷ (2 x 10-5) (3.5 x 10-4)÷ (7 x 10-6) A piece of paper weighs 3 x 10-4g. How much will 2.4 x 1012 pieces of paper weigh? Work this out without a calculator. Grade B – Calculating with Standard Form Work these out without a calculator 6 x 1085) (3 x (2 x 103) 2) x (5 x 108) (3.2 1.6 x 1011 -5) x (2 x 10-2) 4.2 x 10-7 (2.1 3)11x (7 x 107) 4.2x x10 10 (6 (2 105-2) x (4 x 107) 8 xx10 3.2 10-5-8) x (4 x 10-4) (8 xx10 Work these out without a calculator (8 4 x 1069) ÷ (2 x 103) 3) ÷ (1.3 x 108) -5 (2.6 x 10 2 x 10 5 x 1036) ÷ (4 x 102) (2 (9 10612) ÷ (3 x 106) 3 xx 10 49) ÷ (2 x 10-5) (63 xx 10 10 5 x x1010-4)÷ (7 x 10-6) (3.5 A piece of paper weighs 3 x 10-4g. How much will 2.4 x 1012 pieces of paper weigh? Work this out without a calculator. 720000kg