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GCSE Higher Revision Starters 4

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Grade D – One number as a % of another Write these as percentages 8 out of 10 3 out of 5 7 out of out of 50 1 out of out of 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?

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Grade D – One number as a % of another Write these as percentages 8 out of 10 3 out of 5 7 out of out of 50 1 out of out of 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? 80% 60% 28% 34% 5% 62% 21% 40% 42.9%

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Grade B Number – Standard Form Write these numbers into ordinary form 3 x x x x x x Write these numbers into standard form Calculate, giving your answers in standard form 3.4 x x x x x x x x 10 -3

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Grade B Number – Standard Form Write these numbers into ordinary form 3 x x x x x x Write these numbers into standard form Calculate, giving your answers in standard form 3.4 x x x x x x x x x x x x x x x x x x 10 5

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Grade B – Calculating with Standard Form Work these out without a calculator (3 x 10 5 ) x (2 x 10 3 ) (6 x 10 3 ) x (7 x 10 7 ) (3.2 x 10 2 ) x (5 x 10 8 ) (2 x ) x (4 x 10 7 ) (2.1 x ) x (2 x ) (8 x ) x (4 x ) Work these out without a calculator (8 x 10 9 ) ÷ (2 x 10 3 ) (9 x ) ÷ (3 x 10 6 ) (2.6 x 10 3 ) ÷ (1.3 x 10 8 ) (6 x 10 4 ) ÷ (2 x ) (2 x 10 6 ) ÷ (4 x 10 2 ) (3.5 x )÷ (7 x ) A piece of paper weighs 3 x g. How much will 2.4 x pieces of paper weigh? Work this out without a calculator.

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Grade B – Calculating with Standard Form Work these out without a calculator (3 x 10 5 ) x (2 x 10 3 ) (6 x 10 3 ) x (7 x 10 7 ) (3.2 x 10 2 ) x (5 x 10 8 ) (2 x ) x (4 x 10 7 ) (2.1 x ) x (2 x ) (8 x ) x (4 x ) Work these out without a calculator (8 x 10 9 ) ÷ (2 x 10 3 ) (9 x ) ÷ (3 x 10 6 ) (2.6 x 10 3 ) ÷ (1.3 x 10 8 ) (6 x 10 4 ) ÷ (2 x ) (2 x 10 6 ) ÷ (4 x 10 2 ) (3.5 x )÷ (7 x ) A piece of paper weighs 3 x g. How much will 2.4 x pieces of paper weigh? Work this out without a calculator. 6 x x x x x x x x x x x x kg

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