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Starter #1 • Using only the numbers 1, 2 and 3, make the numbers 1-10 using the following available operations: • +, -, x, /, ^ (“to the power of”) • You must use all three numbers each time Starter #1 • • • • • • • Various answers eg (1+2)/3 (3-2)+1 3/(1^2) 2^(3-1) (3x2)-1 3x2x1 • • • • (3x2)+1 (2x1)^3 (3x1)^2 3^2 + 1 Starter #2 • A sequence is generated by finding the unique prime factors of 2n. • For example, the 10th term would be the number of unique prime factors of 2x10 • 2x10 = 20 = 5 x 2 x 2 • The unique prime factors of 20 are 5 and 2 • So the 10th term in the sequence is 2. • Find the first 5 terms. Starter #2 • 1 1 2 1 2 Starter #3 • A cube has volume 64cm3 • What is the length of AB? A B Starter #3 • 4Sqrt3 Starter #4 • Think of a value for each letter so that the following are true: 1/a = a 2b < b c2 < c d3 < d < d2 Starter #4 • • • • a=1 b is negative c is between zero and one d is less than -1 1/a = a 2b < b c2 < c d3 < d < d2