Year 7A Mathematics Homework Autumn Term Week 1 2 3 Name : 4 5 Teacher: Class: Target: 6 7 8 9 10 The blank sheets should be used for working out
Negative Numbers Top tip: Use these to help you! Equations Top tip: Tips and hints- Autumn 1 Products of prime Top tip: Draw a prime factor tree 2 x 7 = 14-2 x 7 = -14 2 x -7 = -14-2 x -7 = 14 15 5 = 3-15 5 = -3 15-5 = -3-15 -5 = 3 Long Multiplication Top tip: Use an appropriate method e.g. Grid method 342 x 14 300 40 2 10 3000 400 20 4 1200 160 8 e.g. 5x + 4 = 2x + 13 Take smaller amount of x from each side 3x + 4 = 13 Use inverse operations 3x = 9 x = 9 3 x = 3 Expanding brackets Top tip: Multiply every term inside the bracket by the number outside the bracket e.g. Expand 3m(5m 7) = (3m x 5m) (3m x 7) Add all underlined values = 4788 = 15m 2 21m
Name : 82.1 Estimate 258 27 = Estimate 60 47 = Work out 5 1 Work out 2 3 9 6 11 7 Work out 368.80 8 Work out 585.60 6 Expand 4x(7x - 11) Expand 3x(7-5x) Express 31% as a fraction in its lowest Express 39% as a fraction in its lowest Find the highest common factor of 30 and 120 Find the lowest common multiple of 32 and 12 Work out 72-8 = Work out -20-2 = Complete the ratio 8 : 44 = 1 :? Complete the ratio 4 : 40 = 1 :? Solve 8x + 3 = 3x + 18 Solve 5x - 1 = 3x + 9 Express 660 as a product of prime Express 28 as a product of prime
Name : 82.2 Estimate 29 71 = Estimate 18254 29 = Work out 2 2 Work out 3 1 5 3 4 2 Work out 393 6 Work out 193.50 3 Expand 2x(11x + 1) Expand 2x(3x - 5) Express 50% as a fraction in its lowest Express 85% as a fraction in its lowest Find the highest common factor of 6 and 15 Find the lowest common multiple of 40 and 30 Work out 4-1 = Work out -40-4 = Complete the ratio 6 : 48 = 1 :? Complete the ratio 8 : 36 = 1 :? Solve 6x + 1 = 4x - 1 Solve 4x - 1 = 3x + 3 Express 135 as a product of prime Express 8 as a product of prime
Name : 82.3 Estimate 3755-3062 = Estimate 4249-1546 = Work out 2 1 Work out 5 1 3 2 8 2 Work out 536.90 7 Work out 306 4 Expand 5x(3-2x) Expand 5x(2x - 5) Express 70% as a fraction in its lowest Express 76% as a fraction in its lowest Find the highest common factor of 16 and 32 Find the lowest common multiple of 36 and 72 Work out 20-5 = Work out -8-5 = Complete the ratio 16 : 64 = 1 :? Complete the ratio 6 : 30 = 1 :? Solve 7x + 2 = 4x - 10 Solve 4x - 4 = 3x - 3.5 Express 420 as a product of prime Express 144 as a product of prime
Name : 82.4 Estimate 20 54 = Estimate 123 49 = Work out 5 1 Work out 6 7 6 2 10 8 Work out 311 5 Work out 375.60 6 Expand 5x(3 + 2x) Expand 4x(5x - 2) Express 24% as a fraction in its lowest Express 27% as a fraction in its lowest Find the highest common factor of 126 and 140 Find the lowest common multiple of 30 and 40 Work out 2-1 = Work out 10-1 = Complete the ratio 12 : 48 = 1 :? Complete the ratio 8 : 24 = 1 :? Solve 6x + 2 = 2x - 14 Solve 3x + 5 = 2x + 7 Express 108 as a product of prime Express 44 as a product of prime
Name : 82.5 Estimate 5902 + 3985 = Estimate 45 56 = Work out 2 1 Work out 2 1 8 2 3 2 Work out 223.50 5 Work out 297.20 4 Expand 6x(2x + 11) Expand 5x(2x - 3) Express 93% as a fraction in its lowest Express 91% as a fraction in its lowest Find the highest common factor of 120 and 135 Find the lowest common multiple of 20 and 30 Work out 10-1 = Work out 81-9 = Complete the ratio 12 : 48 = 1 :? Complete the ratio 6 : 36 = 1 :? Solve 4x - 5 = 3x - 3 Solve 4x + 3 = 3x - 2 Express 24 as a product of prime Express 54 as a product of prime
Name : 82.6 Estimate 17671 93 = Estimate 4122 19 = Work out 8 1 Work out 4 1 9 2 8 2 Work out 538.30 7 Work out 150.60 2 Expand 5x(7 + 5x) Expand 3x(11x + 3) Express 86% as a fraction in its lowest Express 80% as a fraction in its lowest Find the highest common factor of 30 and 60 Find the lowest common multiple of 28 and 35 Work out 7-6 = Work out 4-1 = Complete the ratio 10 : 35 = 1 :? Complete the ratio 4 : 32 = 1 :? Solve 5x + 4 = 4x + 9 Solve 4x + 0 = 3x + 2 Express 504 as a product of prime Express 210 as a product of prime
Name : 82.7 Estimate 9889-7344 = Estimate 78 33 = Work out 7 6 Work out 2 1 11 10 5 2 Work out 436.10 7 Work out 126.30 3 Expand 2x(5x - 1) Expand 2x(1-7x) Express 59% as a fraction in its lowest Express 98% as a fraction in its lowest Find the highest common factor of 120 and 105 Find the lowest common multiple of 30 and 36 Work out 90-10 = Work out -24-4 = Complete the ratio 5 : 25 = 1 :? Complete the ratio 4 : 16 = 1 :? Solve 8x + 2 = 6x - 2 Solve 3x - 3 = 2x - 4 Express 96 as a product of prime Express 180 as a product of prime