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MODULE 3 FOUNDATION objective follow heirarchy of operations (BIDMAS) round to given power of 10 addition and subtraction of up to 4 digit numbers long division and multiplication by single digit number add and subtract fractions (-3 x 5) x -2 = 30 45 281 ≈ 45 300 (to nearest 100), 7.3782 ≈ 7.38 (to 2d.p.) 167 + 25 = 192; 300 - 163 = 137 231 x 4 =924; 417 ÷ 3 = 139; 5 /6 - 3/4 = 1/12 equivalent fractions cancel 15/35 to lowest terms: 3/7. Write 2/5 as twentieths: 2/5 = 8/20 convert to and from top heavy fractions and mixed numbers 2 1/2 = 5/2 ; 10/3 = 3 1/3 find a fraction of a quantity 1 multiply fractions write one quantity as a fraction of another convert between fractions and decimals multiply and divide negative numbers add and subtract negative numbers identify factors and multiples of a number be able to identify a prime number be able to calculate square roots use prime factor decompostion to calculate LCM and HCF multiply and divide by powers of 10 long division and multiplication by two digit number addition and subtraction with decimals multiply and divide decimals by single digit number simplify ratios dividing amounts into given ratio finding missing amounts using ratios speed, time and distance unitatry method best buys equivalent percentages, fractions and decimals calculate a percentage of a given amount percentage change write one quantity as a percentage of another use index laws to simplify or evaluate expressions Convert recuring decimals to fractions plot gradratic graphs and use graphs to solve equation 4 /5 of 20 = 4; 4/5 of 20 = 16 3 2 /9 x /10 = /15 12 out of 30 days = 2/5 2 1 /10 = 0.2; /3 = 0.3333… 3 x -4 = -12; -24 ÷ -6 = 4 5 - -4 = 9; -5 -3 = -8 factors of 24 are 1,2,3,4,6,8,12,24; first 5 multiples of 6 are 6, 12, 18, 24, 30 list all prime numbers between 40 and 50 √25 = 5; √2500 = 50 60 = 22 x 3 x 5 0.678 x 10 = 6.78; 0.0324 x 104 = 324 358 x 74 = 26 492; 840 ÷ 24 = 35 4.72 + 13.53 = 18.25; 7.3 - 1.5 = 5.8 4.5 x 3 = 13.5; 8.25 ÷ 5 = 1.65 5:20 = 1:4 share £40 in the ratio 2:3; £16 and £24 An amount is shared in ratio 3:5, 1st amount is 210, what is 2nd amount? 350 Calculate one value given 2 of the others. How far traveled if go at 60 mph for 3.5 hours? 210 miles If 8 pens cost £2.64, how much do 5 pens cost? 1 pen is 33p so 5 pens cost £1.65 Which is best: 800g for £1.60 or 2.5kg for £4.75? 1st is 5g for 1p, 2nd is 5.26g for 1p 35% = 0.35 = 35/100 = 7/20 12% of 80 = 9.6 to calculate 4% increase x 1.04; to calculate 23% decrease x 0.77 12 out of 30 days = (12 ÷ 30) x 100 = 40% 2 4 6 5 4 2 3 6 a x a = a ; a ÷ a = a ; (a ) = a 7 0.777777… = /9