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Enrichment in Mathematics - Algebra Consecutive Numbers Teachers Notes This activity could be used as a starter or plenary. Although a closed activity in that it has a specific numerical solution, pupils can be encouraged to discuss their methods for working out the answer. It revises the use of algebra to form and solve a problem. Solution If the first number is called a, then the next 4 consecutive numbers can be written as a + 1, a + 2, a + 3, a + 4 We know that their total is 162 after doubling the middle number, so a + a + 1 + 2(a + 2) + a + 3 + a + 4 = 162 So 6a + 12 = 162 6a = 150 a = 25 So the middle number is 27 As an extension, pupils can be asked to write a similar problem for a partner, then swap and try to solve each other’s. Worcestershire Numeracy Team Enrichment Activities Enrichment in Mathematics - Algebra Consecutive Numbers Five consecutive numbers add up to 162 after the middle number has been doubled. What is the middle number? Worcestershire Numeracy Team Enrichment Activities