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G.C.S.E LINEAR BASIC SKILLS 1 (FOUNDATION) AUTHOR www.mistrymaths.co.uk Creative Thinker PLT Skills Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker BASIC SKILLS CONSOLIDATION Which ones are you using? TASK 1) Write down the first 2) Write down the first 3) Write down all the prime 4) Calculate: 3 three cube numbers numbers below 30 2 = 1, 8, 27 = 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 = 2 x 2 x 2 =8 5) 36 6) Find the HCF of 12 and 24 7) Find LCM of 6 and 8 8) Work out 7x + 5y = 12 (Biggest number that = 24 (Smallest number when x=2 and y =3 = 6 & -6 goes into 12 & 24) common in 6 & 8 tables) = 7 x 2 + 5 x 3 = 29 7 as a percentage 10)2, 3, 3, 3, 4, 6, 7 Calculate the averages and range for the data 9) Write 20 35 Mode = 3 (Most) Median = 3 (Middle) Mean = 28÷7=4 Range = 7 – 2 = 100 = 35% =5 11) What is the probability of picking the letter m in the word Mathematics? 12) 30% of £80 2 10% = £8 30% = £24 Probability = 11 3 3 5 13) Shade in 4 below: 14) 2, 6, 10, 14, …. 15) Round 1.85 16) Round 1.85 17) y y Find the nth term to 1 s.f. to 1 d.p. y2 = 2 Nth term = 4n - 2 = 1.9 = y 8 -2 = y 6 18) Write the value of each angle in an equilateral triangle. 19) Simplify: 6e - 7p – 3e – 4p = 60 0 (Angles in a triangle add up to 180 0) 5 = 3e – 11p 20) Expand 3(4x – 5) 21) Solve 3(x – 4) = 6 22) Solve 4y – 6 < 6 23) Find 8 of 32km 3x – 12 = 6 = 12x – 15 = 4y < 12 = y < 3 = 20km 3x = 18 x = 6 14 Share £45 in the ratio 5:4 26) Factorise 5x -20 27) Factorise y 2 – 6y 24) Cancel down 35 25) 5 2 = 5(x – 4) £25 94 of £45 = £20 of £45 = = y(y – 6) = 5 9 28) Simplify d + d + d 29) Simplify d x 3d x d 30) Simplify 2n x2 3n 31) Simplify p x q x 6 = 6pq = 3d = 6n = d five square numbers = 1, 4, 9, 16, 25