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Williamwood High School Homework Booklet D Mathematics Department Week 1 Monday 1. Find 82,435 + 34,679 2. Find 65,632 – 43,975 3. 638 x 7 4. 6588 ÷ 3 5. What is 4/5 of £895 6. Round 546 to nearest 10. 7. Round 802 to nearest 100. 8. Change 1632hrs to 12 hour clock. 9. Change 9.45pm to 24 hour clock. 10. Draw an obtuse angle. Tuesday 1. Find 67,102 + 58,365 2. Find 50,098 – 47,849 3. 582 x 6 4. 4972 ÷ 2 5. What is 3/7 of £840 6. Round 832 to nearest 10. 7. Round 975 to nearest 100. 8. Change 0820hrs to 12 hour clock. 9. Change 6.23pm to 24 hour clock. 10. Draw a right angle. Wednesday 1. Find 58,839 + 74,804 2. Find 98,067 – 80,488 3. 981 x 9 4. 8544 ÷ 6 5. What is 6/10 of £730 6. Round 835 to nearest 10. 7. Round 358 to nearest 100. 8. Change 2304hrs to 12 hour clock. 9. Change 7.54pm to 24 hour clock. 10. Draw an acute angle. Thursday 1. Find 74,340 + 32,547 2. Find 36,813 – 29,876 3. 386 x 4 4. 8491 ÷ 7 5. What is 2/9 of £765 6. Round 839 to nearest 10. 7. Round 348 to nearest 100. 8. Change 2038hrs to 12 hour clock. 9. Change 4.42am to 24 hour clock. 10. Draw a reflex angle. Williamwood High School Homework Booklet D Mathematics Department Week 2 Monday Simplify the following expressions: Tuesday Simplify the following expressions: 1. 2e + 5r + 3e + 2r 2. 6y + 12w + 3y + 2w 3. 9i + 5j – 3i – 4j 4. 10d + 6e – 4d – e 5. 4a – 2b + 3a + 5b 6. 2h – 7i – 5h + 9i 7. 10 – 4y + 3z – 7 + 5y – 7z 8. 12 – 3u – 4v – 3u + 5 – 2v 9. 14 + 5j – 18 + 3r – 6j + 5r 10. 3w – 7 + 4f – 3w + 1 - f 1. 4e + 5r + 6e + 8r 2. 7y + 9w + 4y + 4w 3. 8i + 6j – 2i – 4j 4. 16d + e – 13d – 8e 5. 7a – 9b + 3a + 4b 6. 10h – 9i – 7h + 4i 7. 19 – 5y + 7z – 11 + 6y – 8z 8. 24 – 9u – 7v – 4u + 11 – 5v 9. 37 + 12j – 46 + r – 7j + 8r 10. 6w – 4 + 3f – 5w + 7 - 5f Wednesday Simplify the following expressions: Thursday Simplify the following expressions: 1. 3e + 9r + 3e + 3r 2. 7y + 23w + 3y + 3w 3. 9i + 9j – 3i – 4j 4. 20d + 7e – 4d – e 5. 4a – 3b + 3a + 9b 6. 3h – 7i – 9h + 9i 7. 20 – 4y + 3z – 7 + 9y – 7z 8. 23 – 3u – 4v – 3u + 9 – 3v 9. 24 + 9j – 28 + 3r – 7j + 9r 10. 3w – 17 + 8f – 2w + 2 - 4f 1. 7e + 7r + 3e + 7r 2. 6y + 32w + 3y + 2w 3. 4i + 7j – 3i – 4j 4. 30d + 6e – 4d – e 5. 4a – 2b + 3a + 2b 6. 2h – 8i – 2h + 4i 7. 30 – 4y + 3z – 8 + 2y – 8z 8. 37 – 3u – 4v – 3u + 7 – 7v 9. 34 + 7j – 38 + 3r – 6j + 7r 10. 3w – 8 + 4f – 3w + 3 - f Williamwood High School Homework Booklet D Mathematics Department Week 3 Monday 1. Find 34910 + 74391 2. Find 47511 – 13190 3. Find 472 x 3 4. 580 ÷ 5 5. Find 2/3 of 96 6. Round 457 to the nearest 10. 7. Round 3864 to the nearest 100. 8. Change 1845hrs to 12 hour clock. 9. Change 4.18pm to 24 hour clock. 10. Draw an accurate drawing of a square with side length of 4cm. Tuesday 1. Find 72210 + 26193 2. Find 57012 – 23145 3. Find 7254 x 5 4. 364 ÷ 4 5. Find 4/5 of 350 6. Round 845 to the nearest 10. 7. Round 7034 to the nearest 100. 8. Change 1310hrs to 12 hour clock. 9. Change 1.10pm to 24 hour clock. 10. Draw an accurate drawing of a rectangle with side lengths of 2cm by 5cm. Wednesday 1. Find 50275 + 3890 2. Find 76190 - 12769 3. Find 892 x 7 4. 327 ÷ 3 5. Find 3/7 of 560 6. Round 294 to the nearest 10. 7. Round 7620 to the nearest 100. 8. Change 1032hrs to 12 hour clock. 9. Change 5.17am to 24 hour clock. 10. How many degrees are in a right angle? Thursday 1. Find 54301 + 2756 2. Find 98792 - 34983 3. Find 1965 x 4 4. 8064 ÷ 8 5. Find 1/9 of 72 6. Round 908 to the nearest 10. 7. Round 7452 to the nearest 100. 8. Change 2251hrs to 12 hour clock. 9. Change 8.20pm to 24 hour clock. 10. How many degrees are in a straight angle? Williamwood High School Mathematics Department Homework Booklet D Week 4 Monday Solve the following equations: Tuesday Solve the following equations: 1. 2. 3. 4. 5. 6. x+7=8 x–7=8 x+1=5 x–1=5 2x = 14 3x = 21 x 7. =9 2 x 8. =5 3 9. x + 6 = 17 10. x + 8 = 10 11. x – 8 = 10 1. 8x = 32 x 2. =2 8 3. x – 9 = 2 4. 5x = 50 x =3 5. 5 x 6. =4 4 7. x + 7 = 20 8. x – 7 = 20 x 9. =4 7 10. 7x = 35 Wednesday Solve the following equations: Thursday Solve the following equations: 1. x + 3 = 14 2. 3x = 36 x 3. =4 7 4. x – 3 = 1 5. 5x = 25 x 6. =4 7 7. x + 5 = 14 8. x – 5 = 2 9. x + 9 = 12 x 10. = 4 7 11. 9x = 117 1. 2x + 4 = 10 2. 2x + 3 = 13 3. 3x + 1 = 10 4. 3x + 5 = 11 5. 4x + 3 = 19 6. 10x + 7 = 57 7. 2x + 3 = 10 8. 2x + 8 = 13 9. 5x + 7 = 32 10. 7x + 4 = 25 Williamwood High School Homework Booklet D Mathematics Department Week 5 Monday 1. Find 63.87 + 54.89 2. Find 28.46 – 19.59 3. 7.38 x 7 4. 89.7 ÷ 3 5. Simplify 6t + 9 – 3t + 12 6. Simplify 4x + 9y + 3x – y + 15 7. Solve 6y + 12 = 48 8. Solve 7x – 9 < 19 9. Find the next 2 numbers in the sequence: 4, 9, 14, 19,…… 10. Find the area of a square with side length 8cm. Tuesday 1. Find 72.08 + 61.72 2. Find 73.90 – 16.58 3. 8.48 x 6 4. 730.8 ÷ 4 5. Simplify 4t + 2 – t + 65 6. Simplify 17x + 8y + 5x – 3y + 28 7. Solve 4y + 7 = 27 8. Solve 8x – 2 < 46 9. Find the next 2 numbers in the sequence: 3, 10, 17, 24,…… 10. Find the area of a rectangle with side length 7cm and breadth 4cm. Wednesday 1. Find 47.38 + 104.87 2. Find 36.72 – 10.765 3. 4.76 x 4 4. 453.6 ÷ 6 5. Simplify 5t + 14 – 2t + 47 6. Simplify 8x + 13y + 5x – 4y + 56 7. Solve 7y + 19 = 61 8. Solve 3x – 7 < 14 9. Find the next 2 numbers in the sequence: 9, 12, 15, 18,…… 10. Find the perimeter of a square with side length 6cm. Thursday 1. Find 42.58 + 381.09 2. Find 87.04 – 23.764 3. 5.89 x 4 4. 64.96 ÷ 8 5. Simplify t + 42 + 8t - 14 6. Simplify 6x + 15y + 16x – 10y + 27 7. Solve 10y + 32 = 82 8. Solve 5x – 8 < 37 9. Find the next 2 numbers in the sequence: 12, 18, 24, 30,…… 10. Find the perimeter of a rectangle with length 5cm and breadth 6cm. Williamwood High School Mathematics Department Homework Booklet D Week 6 Monday Solve the following equations: Tuesday Solve the following equations: 1. 23 = 4x + 7 2. 7 = 2x + 1 3. 20 = 2x + 9 4. 68 = 6x + 8 5. 8 = 4x + 3 6. 45 = 8x + 9 7. 32 = 6x + 11 8. 5x + 4 = 9 9. 7x + 11 = 32 10. 8x + 7 = 63 1. 2x – 4 = 8 2. 2x – 3 = 13 3. 3x – 2 = 10 4. 3x – 5 = 4 5. 4x – 1 = 23 6. 10x – 7 = 33 7. 2x – 3 = 2 8. 2x – 1 = 8 9. 7x – 4 = 38 10. 8x – 7 = 5 Wednesday Solve the following equations: Thursday Solve the following equations: 1. 5 = 4x – 3 2. 19 = 7x – 2 3. 68 = 8x – 12 4. 7 = 4x – 3 5. 20 = 6x – 7 6. 49 = 9x – 14 7. 6x – 1 = 20 8. 2x - 4 = 1 9. 3x – 2 = 3 10. 7x – 3 = 7 1. 2. 3. 4. 5. 6. 7. 4x + 5 = 3x + 8 8x + 4 = 7x + 6 5x + 3 = 4x + 7 3x + 1 = 2x + 10 7x + 3 = 5x + 9 10x + 4 = 8x + 8 6x + 1 = 3x + 13 Williamwood High School Homework Booklet D Mathematics Department Week 7 Monday 1. Find 13.86 + 4.71 2. Find 23.98 – 14.51 3. Find 3.41 x 5 4. 1.80 ÷ 6 5. Simplify 3e + 4 – 2e + 8 6. Simplify 4r + 9 + 9s – 4 – 2r + 3s 7. 4e – 5 = 15 8. 7f + 3 > 52 9. Find the next 2 numbers in the sequence: 1, 4, 7, ……… 10. Find the area of a square with side length of 5m. Tuesday 1. Find 45.91 + 36.42 2. Find 56.98 – 13.42 3. Find 7.56 x 4 4. 7.44 ÷ 4 5. Simplify 8h + 7 + 3h - 5 6. Simplify 6u + 12 + v – u + 5v - 7 7. 8g – 2 = 54 8. 3e – 12 < 15 9. Find the next 2 numbers in the sequence: 39, 35, 31, ……… 10. Find the area of a rectangle with side length of 6m by 3m. Wednesday 1. Find 45.23 + 34.19 2. Find 14.90 – 3.71 3. Find 45.28 x 6 4. 67.5 ÷ 5 5. Simplify 8f + 7 – 3f - 8 6. Simplify 8c + 4e + 8 – 5c – 4e - 2 7. 4h + 8 = 28 8. 5j – 3 > 32 9. Find the next 2 numbers in the sequence: 4, 8, 16, ……… 10. Find the perimeter of a square with side length of 3.4m. Thursday 1. Find 28.19 + 12.21 2. Find 67.37 – 26.41 3. Find 18.26 x 9 4. 4.53 ÷ 3 5. Simplify 12 + 2a – 9 + 4a 6. Simplify 8e + 3 + 2q – 7e – 1 + 5q 7. 10z + 12 = 72 8. 3e + 9 < 24 9. Find the next 2 numbers in the sequence: 1, 4, 9, ……… 10. Find the perimeter of a rectangle with side length of 6m by 2.1m. Williamwood High School Mathematics Department Homework Booklet D Week 8 Monday Solve the following equations: Tuesday Solve the following equations: 1. 2. 3. 4. 5. 6. 7. 1. 2. 3. 4. 5. 6. 7. 12x + 7 = 2x + 27 14x + 6 = 7x + 13 9x + 4 = x + 24 8x + 1 = 4x + 15 3x + 10 = 4x + 3 8x + 7 = 4x + 35 9x + 1 = 3x + 10 7x + 2 = 5x + 12 x + 7 = 3x + 1 x + 18 = 6x + 3 2x + 11 = 4x + 5 3x + 20 = 5x + 3 8x + 19 = 12x + 5 11x + 12 = 8x + 20 Wednesday Solve the following equations: Thursday Solve the following equations: 1. 2. 3. 4. 5. 6. 7. 1. 2. 3. 4. 5. 6. 7. 4x – 5 = 3x + 1 6x – 2 = 5x + 4 7x – 4 = 5x + 2 9x – 1 = 7x + 7 8x – 4 = 5x + 8 6x – 7 = x + 3 5x – 3 = x + 5 4x – 7 = x + 8 6x – 1 = x + 29 12x – 5 = 8x + 3 4x – 2 = 2x + 1 6x – 7 = 4x + 8 9x – 3 = 5x + 7 7x – 2 = 3x + 11 Williamwood High School Homework Booklet D Mathematics Department Week 9 Monday 1. Find 6.23 x 10 2. Find 93.4 ÷ 10 3. Find 3087.5 x 100 4. Find 38.71 ÷ 100 5. Round 5.38 to 1 decimal place. 6. Round 25.8743 to 2 decimal places. 7. Find the time between 2.18pm and 6.25pm 8. A film starts at 4.05pm. If the film last for 3 hours 38 minutes, when will it finish? 9. Solve 7r – 3 = 25 10. Solve 9e = 72 Tuesday 1. Find 5.72 x 10 2. Find 70.3 ÷ 10 3. Find 5417.8 x 100 4. Find 41.09 ÷ 100 5. Round 3.99 to 1 decimal place. 6. Round 53.8799 to 2 decimal places. 7. Find the time between 4.37pm and 8.21pm 8. A film starts at 5.50pm. If the film last for 2 hours 43 minutes, when will it finish? 9. Solve 7r – 18 = 45 10. Solve 12e = 60 Wednesday 1. Find 8.09 x 10 2. Find 37.4 ÷ 10 3. Find 8271.4 x 100 4. Find 86.48 ÷ 100 5. Round 12.85 to 1 decimal place. 6. Round 345.9999 to 2 decimal places. 7. Find the time between 10.41am and 3.25pm 8. A film starts at 9.20pm. If the film last for 1 hour 47 minutes, when will it finish? 9. Solve 8r – 15 = 9 10. Solve 3e = 75 Thursday 1. Find 5.71 x 10 2. Find 93.6 ÷ 10 3. Find 3100.4 x 100 4. Find 32.913 ÷ 100 5. Round 3.8607 to 1 decimal place. 6. Round 358.9188 to 2 decimal places. 7. Find the time between 4.55am and 8.12pm 8. A film starts at 8.38pm. If the film last for 2 hours 35 minutes, when will it finish? 9. Solve 6r – 12 = 6 10. Solve 4e = 50 Williamwood High School Mathematics Department Homework Booklet D Week 10 Monday Simplify the following: Tuesday Solve the following equations: 1. 2. 3. 4. 5. 6. 7. 8. 1. 2. 3. 4. 5. 6. 7. 8. 12a + 5b – 3a + 2b 9a + 3b + 5a - b 5a - 2b – 3a + 7b 9a - 7b – 10a + 11b a + 2b – 6a - 5b 2a + 3b + 7c – a + 4b – 5c 8a - 4b + 8c – 7a – b + 5c 11a – 5c + 7b – 8c – 3a + 6b 7x + 1 = 15 3x – 5 = 10 2x + 3 = 21 4x – 2 = 14 7x – 5 = 16 8x – 3 = 37 3x – 9 = 18 5x + 7 = 27 Wednesday Solve the following equations: Thursday Solve the following equations: 1. 2. 3. 4. 5. 6. 7. 8. 1. 2. 3. 4. 5. 6. 15 = 2x + 1 24 = 7x – 4 6x + 4 = 22 13 + 4x = 25 8x – 7 = 49 51 = 9x + 6 17 = 5x – 8 9x – 17 = 64 6x – 13 = 11 7x – 8 = 27 5x – 6 = 3x 9x – 14 = 2x 14x – 11 = 4x + 24 23x – 15 = 13x + 30 Williamwood High School Homework Booklet D Mathematics Department Week 11 Monday 1. Find 4.21 x 10 2. Find 65.4 ÷ 10 3. Find 7184.3 x 100 4. Find 84.29 ÷ 100 5. Round 4.56 to 1 decimal place. 6. Round 17.3856 to 2 decimal places. 7. Find the time between 2.38pm and 7.19pm 8. A film starts at 3.45pm. If the film lasts for 3 hours 24 minutes, when will it finish? 9. Solve 4r – 9 = 19 10. Solve 5e = 45 Tuesday 1. Find 16.98 x 10 2. Find 9.18 ÷ 10 3. Find 24.789 x 100 4. Find 900.12 ÷ 100 5. Round 8.25 to 1 decimal place. 6. Round 4.9017 to 2 decimal places. 7. Find the time between 6.59am and 1.34pm 8. A film starts at 4.45 pm. If the film lasts for 1 hour 16 minutes, when will it finish? 9. Solve 7p + 4 = 46 10. Solve 6f – 12 = 18 Wednesday 1. Find 0.461 x 10 2. Find 0.364 ÷ 10 3. Find 34.982 x 100 4. Find 17.265 ÷ 100 5. Round 15.75 to 1 decimal place. 6. Round 9.37865 to 2 decimal places. 7. Find the time between 10.38am and 5.17pm 8. A train departs London at 5.43am. The duration of the journey is 7 hours and 13 minutes. When will it arrive? 9. Solve 30 = 6d - 18 10. Solve 13w = 169 Thursday 1. Find 0.045 x 10 2. Find 9.735 ÷ 10 3. Find 45.287 x 100 4. Find 13.6235 ÷ 100 5. Round 12.02 to 1 decimal place. 6. Round 34.776 to 2 decimal places. 7. Find the time between 1043hrs and 6.43pm 8. A train departs Glasgow at 1.47pm. The duration of the journey is 4 hours and 26 minutes. When will it arrive? 9. Solve 24 = 40 – 2y 10. Solve 12r = 144 Williamwood High School Mathematics Department Homework Booklet D Week 12 Monday Solve the following equations: Tuesday Solve the following equations: 1. 2. 3. 4. 5. 6. 7. 1. 2. 3. 4. 5. 6. 7. 2(x + 3) = 16 3(x + 3) = 15 2(4x + 5) = 26 3(2x + 1) = 21 2(5x + 3) = 36 3(x + 4) = 24 4(x + 1) = 24 2(4x + 3) = 30 3(3x + 1) = 12 22 = 2(4x + 1) 21 = 3(3x + 4) 69 = 3(2x + 3 100 = 5(3x + 2) 48 = 8(2x + 3) Wednesday Solve the following equations: Thursday Solve the following equations: 1. 2. 3. 4. 5. 6. 7. 1. 2. 3. 4. 5. 6. 7. 60 = 12(2x + 2) 2(4x + 6) = 7 2(10x + 4) = 27 4(8x + 2) = 5 2(8x + 12) = 18 2(6x + 4) = 21 3(2x + 1) = 10 3(x – 1) = 6 2(2x – 3) = 6 5(2x – 5) = 15 3(x – 2) = 12 4(x – 1) = 8 2(2x – 7) = 4 2(x – 4) = 1 Williamwood High School Homework Booklet D Mathematics Department Week 13 Monday 1. Find 10% of £580 2. Find 25% of £864 3. Find 6% of £1200 4. Find 45% of £320 5. Find 331/3% of £1449 6. Change 5.2m to cm 7. Change 67mm to cm 8. Simplify the ratio 14 : 35 9. The ratio of cats to dogs is 3 : 8. If there are 24 dogs, how many cats are there? 10. Solve 5t – 11 > 24 Tuesday 1. Find 10% of £920 2. Find 25% of £1392 3. Find 6% of £500 4. Find 95% of £520 5. Find 662/3% of £459 6. Change 12.6m to cm 7. Change 85mm to cm 8. Simplify the ratio 56 : 49 9. The ratio of cats to dogs is 4 : 3. If there are 36 dogs, how many cats are there? 10. Solve t – 46 > 38 Wednesday 1. Find 10% of £7300 2. Find 25% of £876 3. Find 6% of £6800 4. Find 45% of £180 5. Find 121/2% of £5480 6. Change 13.1m to cm 7. Change 324mm to cm 8. Simplify the ratio 30 : 45 9. The ratio of Wii games to X-Box games is 5 : 7. If there are 70 X-box games, how many Wii are there? 10. Solve 9t – 54 > 126 Thursday 1. Find 10% of £490 2. Find 25% of £1508 3. Find 6% of £5300 4. Find 45% of £640 5. Find 171/2% of £9840 6. Change 7.8m to cm 7. Change 302mm to cm 8. Simplify the ratio 48 : 60 9. The ratio of Wii games to X-Box games is 6 : 9. If there are 30 Wii games, how many X-Box are there? 10. Solve 11t – 16 > 72 Williamwood High School Mathematics Department Homework Booklet D Week 14 Monday Solve the following equations: Tuesday Solve the following equations: 1. 2. 3. 4. 5. 6. 7. 1. 2. 3. 4. 5. 6. 7. 6(2x – 1) = 18 2(x – 3) = 5 5(2x – 3) = 10 33 = 3(6x – 1) 16 = 4(5x – 6) 15 = 3(4x – 7) 12 = 3(x – 9) 3 = 2(x – 7) 4 = 3(x – 8) 7 = 2(2x – 7) 84 = 7(5x – 3) 66 = 6(6x – 7) 27 = 2(5x – 9) 21 = 3(2x – 1) Wednesday Solve the following equations: Thursday Solve the following equations: 1. 4x + 2 = 10 2. 2x + 5 = 9 3. 6x + 3 = 15 4. 7x + 4 = 25 5. 4(2x + 1) = 28 6. 6x – 1 = 29 7. 2(4x – 7) = 1 8. 9x – 4 = 2 9. 8(3x + 5) = 64 10. 6(2x – 7) = 18 1. 4x – 2 = 10 2. 2x – 5 = 9 3. 6x – 3 = 15 4. 3x – 8 = 10 5. 4(2x – 1) = 28 6. 3(6x + 4) = 39 7. 2(3x + 8) = 2 8. 10x + 2 = 16 9. 4x – 7 = 4 10. 3(4x + 6) = 10 Williamwood High School Homework Booklet D Mathematics Department Week 15 Monday 1. Find 10% of £240 2. Find 25% of £304 3. Find 6% of £700 4. Find 35% of £630 5. Find 331/3% of £168 6. Change 4m in to cm. 7. Change 3mm into cm. 8. Simplify the ratio 4 : 16 9. The ratio of boys to girls is 7 : 3. If there are 49 boys, how many girls will there be? 10. Solve 4w + 4 > 12 Tuesday 1. Find 10% of £690 2. Find 25% of £2096 3. Find 6% of £400 4. Find 35% of £390 5. Find 662/3% of £1923 6. Change 5.2m in to cm. 7. Change 12mm into cm. 8. Simplify the ratio 8 : 24 9. The ratio of boys to girls is 5 : 2. If there are 12 girls, how many boys will there be? 10. Solve 5j - 3 < 32 Wednesday 1. Find 10% of £720 2. Find 25% of £1988 3. Find 6% of £1200 4. Find 65% of £790 5. Find 121/2% of £450 6. Change 7m in to mm. 7. Change 7.14mm to cm. 8. Simplify the ratio 26 : 36 9. The ratio of wet days to sunny days is 4 : 9. If there are 16 wet days how many sunny days will there be? 10. Solve 11n + 4 > 114 Thursday 1. Find 10% of £465 2. Find 25% of £2880 3. Find 6% of £1540 4. Find 35% of £990 5. Find 171/2% of £452 6. Change 12.9m in to cm. 7. Change 0.45mm into cm. 8. Simplify the ratio 42 : 24 9. The ratio of green to yellow is 9 : 5. If there are 35 yellow how many green are there? 10. Solve 7e - 5 < 16 Williamwood High School Homework Booklet D Mathematics Department Week 16 Monday Solve the following equations: Tuesday Solve the following equations: 1. 2x + 7 = 13 2. 2x – 7 = 13 3. 3(2x + 5) = 27 4. 5(3x + 2) = 40 5. 4(4x – 3) = 20 6. 3(2x – 1) = 9 7. 6x – 9 = 9 8. 8x + 3 = 27 9. 8x + 3 = 2x + 27 10. 6x + 2 = 4x + 18 1. 9x + 1 = 6x + 16 2. 5x + 3 = 3x + 14 3. 7x – 4 = 10 4. 2x – 1 = 12 5. 2(3x – 2) = 20 6. 6x – 1 = 4x + 8 7. 7x – 9 = 3x + 19 8. 2(3x – 4) = 4(x + 1) 9. 5(2x – 3) = 3(3x + 2) 10. 2(6x + 7) = 2(x + 4) Wednesday Solve the following equations: Thursday Solve the following equations: 1. 3(3x + 2) = 2(3x + 6) 2. 2(5x + 1) = 4(2x + 3) 3. 7(x + 2) = 4(x + 5) 4. 5(2x + 1) = 3(3x + 4) 5. 3(6x + 5) = 4(4x + 7) 6. 8(x + 3) = 2(2x + 13) 7. 5(2x – 1) = 3(3x + 2) 8. 4(3x – 1) = 2(5x + 7) 9. 3(5x – 2) = 4(3x + 6) 10. 2(3x – 4) = 4x + 3 1. 5(2x – 3) = 8x + 1 2. 9x – 1 = 2(4x + 1) 3. 22x – 1 = 6(3x + 2) 4. 3(2x – 5) = 2(2x + 1) 5. 4(5x – 3) = 7(2x + 3) 6. 8(3x – 2) = 3(7x + 5) 7. 2(2x – 3) = 3x 8. 5(4x + 1) = 16x + 12 9. 9x + 7 = 3(2x + 9) 10. 17x = 4(3x + 5) Williamwood High School Homework Booklet D Mathematics Department Week 17 Monday 1. List the first 5 multiples of 4. 2. Give all the factors of 18. 3. Express 72 as a product of prime factors. 4. Find -18 + 62 5. Find 29 + (-15) 6. Find 26 x (-4) 7. Find -35 ÷ (-7) 8. Round the following number to 1 sig fig: 246 9. Round the following number to 2 sig figs: 38965 10. Round the following number to 3 sig figs: 4.186380 Tuesday 1. List the first 5 multiples of 9. 2. Give all the factors of 32. 3. Express 140 as a product of prime factors. 4. Find -23 + 109 5. Find 64 + (-41) 6. Find 98 x (-7) 7. Find -34 ÷ (2) 8. Round the following number to 1 sig fig: 786 9. Round the following number to 2 sig figs: 46672 10. Round the following number to 3 sig figs: 38777076 Wednesday 1. List the first 5 multiples of 8. 2. Give all the factors of 40. 3. Express 200 as a product of prime factors. 4. Find -82 – (-19) 5. Find 47 + (-53) 6. Find 329 x (-8) 7. Find -85 ÷ (-5) 8. Round the following number to 1 sig fig: 565 9. Round the following number to 2 sig figs: 9476 10. Round the following number to 3 sig figs: 5.73854 Thursday 1. List the first 5 multiples of 3. 2. Give all the factors of 33. 3. Express 80 as a product of prime factors. 4. Find -60 – (-56) 5. Find 78 + (-127) 6. Find 407 x (-9) 7. Find -120 ÷ (-6) 8. Round the following number to 1 sig fig: 197 9. Round the following number to 2 sig figs: 3307 10. Round the following number to 3 sig figs: 6.5626 Williamwood High School Mathematics Department Homework Booklet D Week 18 Monday Evaluate the following expressions when x = 1, y = -3 and z = 4: Tuesday Evaluate the following expressions when x = 1, y = -3 and z = 4: 1. 2. 3. 4. 5. 6. 1. 2. 3. 4. 5. 6. 4xy 2yz 5xz xyz 2xy + 3yz 5xz + 4xy 4yz – 8xy 5xz – 2xy 6x + 5y – 2z yz – 6x 6y + xyz 3xy + 2yz – 5xz Wednesday Evaluate the following expressions when x = 1, y = -3 and z = 4: Thursday Evaluate the following expressions when x = 1, y = -3 and z = 4: 1. 2. 3. 4. 5. 6. 1. 2. 3. 4. 5. 6. 2xyz 5x + 7y – z 2xz – 6x 5yz – 2xy xy + 3yz – 2z xyz + 2x – 3z 6xy 2z + 3y – x 6xy – 5z 10xyz – 5x + y 3xy + yz – 10x 8yz – 10z + xy Williamwood High School Homework Booklet D Mathematics Department Week 19 Monday 1. List the first 5 multiples of 7. 2. List the factors of 36. 3. Express 48 as a product of prime factors. 4. Find 4 – (-7) 5. Find 5 + (-3) 6. Find -3 x (-2) 7. Find 56 ÷ (-7) 8. Round the following number to 1 sig fig: 4.21 9. Round the following number to 2 sig figs: 59373 10. Round the following number to 3 sig figs: 0.000037896 Tuesday 1. List the first 4 multiples of 8. 2. List the factors of 24. 3. Express 52 as a product of prime factors. 4. Find 10 – (-5) 5. Find 9 + (-7) 6. Find -12 x (-4) 7. Find -144 ÷ (12) 8. Round the following number to 1 sig fig: 0.0004893 9. Round the following number to 2 sig figs: 6776 10. Round the following number to 3 sig figs: 3090783 Wednesday 1. List the first 7 multiples of 3. 2. List the factors of 74. 3. Express 100 as a product of prime factors. 4. Find 2 – (-3) 5. Find 12 + (-2) 6. Find -7 x 5 7. Find -48 ÷ (-6) 8. Round the following number to 1 sig fig: 0.01003534 9. Round the following number to 2 sig figs: 48909 10. Round the following number to 3 sig figs: 13.4965 Thursday 1. List the first 6 multiples of 5. 2. List the factors of 84. 3. Express 36 as a product of prime factors. 4. Find 18 – (-4) 5. Find -3 + (-3) 6. Find -6 x (-2) 7. Find 90 ÷ (-30) 8. Round the following number to 1 sig fig: 4.9037 9. Round the following number to 2 sig figs: 4988363 10. Round the following number to 3 sig figs: 4.000128 Williamwood High School Mathematics Department Homework Booklet D Week 20 Monday Multiply out the following and simplify: Tuesday Multiply out the following and simplify: 1. 2. 3. 4. 5. 6. 7. 8. 1. 2. 3. 4. 5. 6. 7. 8. 3(2x + 1) + 2(4x + 3) 5(3x + 4) + 4(3x – 4) 4(2x + 3) + 2(x – 2) 2(3x + 4) + 3(x – 4) 5(x + 2) + 6(2x – 3) 4(x – 3) + 3(2x + 5) 5(2x – 4) + 2(x + 8) 3(x – 4) + 2(2x – 3) 8(x – 1) + 3(4x – 3) 2(4x + 1) – 3(2x – 2) 4(2x – 3) – 2(3x – 7) 5(3x + 1) – 3(2x + 2) 6(2x + 3) – 5(x + 3) x(x + 3) + x(x + 4) x(x + 6) + x(x – 2) x(x – 4) + x(x + 7) Wednesday Multiply out the following and simplify: Thursday Multiply out the following and simplify: 1. 2. 3. 4. 5. 6. 7. 8. 1. 2. 3. 4. 5. 6. 7. 8. x(x – 3) + x(x – 5) x(x + 6) + x(x – 8) x(2x + 3) + x(3x + 4) x(4x + 5) + x(2x – 3) x(x + 8) + x(3x – 5) 5x(x + 3) – 3x(x – 2) 6x(x – 2) – 4x(x + 1) 3x(2x + 3) + 2x(4x – 3) 6x(4x + 2) – 3x(7x + 4) 4x(3x + 9) – 6x(2x + 6) 5x(4x + 4) – 7x(3x – 1) 3x(8x + 8) – 4x(2x – 3) 6x(5x + 2) – 3x(5x – 7) 2x(9x – 4) – 5x(3x – 6) 5x(5x – 7) – 2x(6x – 7) 9x(9x – 4) – 3x(5x – 5) Williamwood High School Homework Booklet D Mathematics Department Week 21 Monday 1. List the first 5 multiples of 7. 2. List the factors of 36. 3. Express 48 as a product of prime factors. 4. Find 4 – (-7) 5. Find 5 + (-3) 6. Find -3 x (-2) 7. Find 56 ÷ (-7) 8. Round the following number to 1 sig fig: 4.21 9. Round the following number to 2 sig figs: 59373 10. Round the following number to 3 sig figs: 0.000037896 Tuesday 1. List the first 4 multiples of 8. 2. List the factors of 24. 3. Express 52 as a product of prime factors. 4. Find 10 – (-5) 5. Find 9 + (-7) 6. Find -12 x (-4) 7. Find -144 ÷ (12) 8. Round the following number to 1 sig fig: 0.0004893 9. Round the following number to 2 sig figs: 6776 10. Round the following number to 3 sig figs: 3090783 Wednesday 1. List the first 7 multiples of 3. 2. List the factors of 74. 3. Express 100 as a product of prime factors. 4. Find 2 – (-3) 5. Find 12 + (-2) 6. Find -7 x 5 7. Find -48 ÷ (-6) 8. Round the following number to 1 sig fig: 0.01003534 9. Round the following number to 2 sig figs: 48909 10. Round the following number to 3 sig figs: 13.4965 Thursday 1. List the first 6 multiples of 5. 2. List the factors of 84. 3. Express 36 as a product of prime factors. 4. Find 18 – (-4) 5. Find -3 + (-3) 6. Find -6 x (-2) 7. Find 90 ÷ (-30) 8. Round the following number to 1 sig fig: 4.9037 9. Round the following number to 2 sig figs: 4988363 10. Round the following number to 3 sig figs: 4.000128 Williamwood High School Mathematics Department Homework Booklet D Week 22 Monday Factorise the following expressions: Tuesday Factorise the following expressions: 1. 3x + 12 2. 6x + 15 3. 8x – 20 4. 6z + 3 5. 10y + 5 6. xy + 7y 7. xz – 4z 8. 2xy – 6x 9. x2 – 6x 10. 5y2 + 7y 1. 8x2 + 10x 2. 9x2 – 12x 3. 6xy – 9x2 4. 8xz + 6x2 5. 18z2 – 12yz 6. 9y2 – 3y 7. 5z + 10z2 8. 6pq – 5p2q2 9. 8ab + 4a2b2 10. 2x4- 3x Wednesday Factorise the following expressions: Thursday Factorise the following expressions: 4 1. 4x + 12x 2 2 2. 5x y – xy 2 3. 5y + 15y 2 4. 3p – 9p 2 5. 8p + 4p 3 2 6. x + 7x + 4x 3 2 7. 2x – 6x + 8x 3 2 8. 5y + 10y – 20y 3 2 9. y + y 3 2 10. 2x – 4x 1. 2. 3. 4. 5. 6. 7. 8. x2y2 – 6xy xy – 4x2 xy + 5y2 2x2y2 + 6xy x3 + x2y + xy2 2x3 – 8x2 + 2x x3y3 – x2y2 + xy 15p2q – 3pq2 Williamwood High School Mathematics Department Homework Booklet D Week 23 Monday If a = -2, b = 3, c = -1 and d = 4, evaluate the following: Tuesday If a = -5, b = 2, c = -3 and d = 1, evaluate the following: 1. 2a 2. ab 3. 3dc 4. a + c 5. d – c 6. 4c + d 7. a2 + bc 8. ac + 2b – d 9. ab – b2 + cd 10. abcd 1. bc 2. ac 3. a – d - c 4. c + bc 5. a2 - cd 6. 2c – bd + 5a 7. (b – a)2 8. (c – d)2 + ab 9. 3c2 10. b3c Wednesday If g = 7, h = -3, i = 2 and j = -1, evaluate the following: Thursday If w = 5, x = -2, y = 4 and z = -3, evaluate the following: 1. h + i - j 2. gh - i 3. hj2 4. (i – h)3 5. 4g – 2h 6. ij – 5j 7. i2 – hj + 6 8. h – j – i - g 9. 4hi – gj 10. (hij)2 1. xy 2. xz – 3w 3. 2w – 5x 4. x – 4y + z 5. w + x2 - yz 6. y – xz + wx 7. wxy – 4yz 8. w2 + x2 + yz 9. wx2 – xy + z2x 10. wxy2 Williamwood High School Mathematics Department Homework Booklet D Week 24 Monday Solve the following equations: Tuesday Solve the following equations: 1. 2. 3. 4. 5. 6. 7. 8. 1. 2. 3. 4. 5. 6. 7. 8. 6(3x + 2) = 4(4x + 7) 5(7x – 1) = 11(3x + 2) 3(9x + 4) = 5(5x + 4) 3(3x + 5) + 2(3x – 7) = 19 6(4x + 3) – 9(2x + 1) = 21 7(5x – 2) – 8(4x + 1) = 5 9x + 2(x + 7) = 36 3x + 4(2x – 3) = 10 3(8x + 2) – 4x = 36 2(3x + 5) – 3 = 16 4(5x – 1) = 3(4x + 12) 7x + 6 = 2(3x + 2) 8(3x + 2) = 4(5x + 1) 11x – 1 = 3(3x – 5) 2(3x + 8) – 3(x – 2) = 25 7(x – 1) – 2(x + 2) = 3 Wednesday Solve the following equations: Thursday Solve the following equations: 1. 2. 3. 4. 5. 6. 7. 8. 1. 2. 3. 4. 5. 6. 7. 8. 3(2x + 5) + 5(x – 1) = -1 3(x + 1) + 2(2x + 7) = 3 4(x + 3) – 2 = 2 2x – 3(2 – x) = 4 5(3x – 4) = 8x + 1 8(x – 2) – 2(2x – 1) = 2x + 1 5(2x + 3) – 3(x + 1) = 5 3(7x – 1) + 8(3 – 2x) = 1 6(2x + 1) + 7 = 9x + 1 6(1 – x) + 4 = 3(2 – x) - 4 3x – 2(12 – x) = 4(2x – 3) + 3(x + 1) 0 = 3(2 – 3x) – 7(x – 3) 2(x – 1) – 3(2 – x) + 4(1 – x) = 0 7 – 5(x – 2) = 5 – 3(x + 3) 15x = 3(x – 1) – 4(1 – x) 5(3 – x) – 3(5 – x) = 0 Williamwood High School Homework Booklet D Mathematics Department Week 25 Monday Simplify the following expressions: Tuesday Simplify the following expressions: 1. 2e – 4r + 5e – 6r 2. 4 – 8f + 5 + 5f 3. 6y – 3 + 5u + 2 – 3y + 2u 4. a x a 5. 2a x 3b 6. 5r x 2r 7. 4ef + 2ef 8. (3w)2 9. 7f2 – 2f x 2f 10. 4d3 – 3d2 + 9d3 + 5d2 1. 6v – 3d – 2v + 5d 2. 5q + 9 – 8q - 1 3. 7 – 5z + 2j + 3 + 4z – 8j 4. c x c 5. 3e2 x 2e 6. 4gh - gh 7. 6ef x 2ef 8. (5w)2 9. 4b2c x 2bc 10. (2e)3 Wednesday Simplify the following expressions: Thursday Simplify the following expressions: 1. 3i – 4j + 9i – 2j 2. 10 – 3e + 12 – 5e 3. 6t – 3 – 6y + 4t – 2y + 1 4. 4e x e2 5. 7f x 3f 6. 10d x 4d3 7. 3e x 4r – 2e x 2r 8. (6f)2 9. 12e2 – 4e x 3e 10. a – 3a2 + 4a3 – 3a2 – a3 1. 10p – 5q + 2p – 3q 2. 14 – 5f + 3w – 5 + 2f – 6w 3. 4g x 5g 4. –b x 3b 5. 4r2 x 3r2 6. 6ed x 2e2d 7. (4b)3 8. 4d x 5d x 2d 9. 2e2 x 3e x 5e2 10. 20d2 – 4d x (-2d) Williamwood High School Mathematics Department Homework Booklet D Week 26 Monday Solve the following equations: Tuesday Solve the following equations: 1. 2. 3. 4. 5. 6. 7. 8. 1. 2. 3. 4. 5. 6. 7. 8. 6(x – 1) = 4(x + 2) 4(3x – 2) = 2(4x + 3) 6(4x – 1) = 2(11x + 4) 3(5x – 4) = 4(3x + 6) 2(3x – 4) = 5(x – 1) 5(2x – 3) = 7(x – 1) 9(3x – 1) = 2(4x + 3) 7(3x – 2) = 3(x + 12) 3(3x – 4) = 4(2x – 1) 8(6x – 3) = 5(9x – 3) 7(2x – 5) = 2(5x – 1) 6(3x – 4) = 2(4x – 12) 12(2x – 1) = 3(6x – 3) 5(3x – 1) = 2(5x + 1) 9(2x + 1) = 6(x + 7) 11(3x – 2) = 5(10x + 6) Wednesday Solve the following equations: Thursday Solve the following equations: 1. 3(4x + 1) = 10x + 9 2. 3(4x – 1) = 10x + 9 3. 12x – 3 = 3(2x + 5) 4. 4x + 6 = 2(x + 2) 5. 5x + 9 = 3(x + 1) 6. 7(2x – 1) = 5(2x – 3) 7. 3(6x – 3) = 4(5x – 4) 8. 4(8x – 4) = 2(4x – 16) 9. 5x + 7 = 2(2x + 1) 10. 4(3x + 2) = 8x + 1 1. 3(6x – 1) = 8(2x – 1) 2. 7(2x – 1) = 3(4x + 1) 3. 6x + 5 = 2(2x + 1) 4. 3(4x + 5) = 8(x + 3) 5. 2(6x + 1) = 5(x – 1) 6. 2(2x + 3) = 18 – 2x 7. x – 1 = 3(5 – x) 8. 7(x + 1) = 9(3 – x) 9. 2(7x + 8) = 3(x – 1) 10. 3(10x + 21) = 3(x + 2) Williamwood High School Homework Booklet D Monday 1. Find the area of a rectangle with side lengths of 6m by 3.2m. 2. Find the perimeter of a square with side length of 6.4m. 3. Complete all angles below: Mathematics Department Week 27 Tuesday 1. Find the area of a square with side length of 20m. 2. Find the perimeter of a rectangle with side lengths of 17.4m by 5m. 3. Complete all angles below: 114o 120o 4. Complete all angles below: 4. Complete all angles below: 98o 51o Wednesday 1. Complete all angles below: 31 Thursday 1. Complete all angles in the parallelogram below: 140o o 134o 2. Complete all angles below: 2. Complete all angles below: 127o 74o 27o Williamwood High School Mathematics Department Homework Booklet D Week 28 Monday Solve the following equations: Tuesday Solve the following equations: 1. 2. 3. 4. 5. 6. 7. 8. 9. 1. 3(2 + 4x) + 3(5 – x) = 30 5(2x + 3) – 3(2x + 4) = 15 2(4x + 2) – 2(2x + 1) = 11 3(3x + 4) – 2(2x + 1) = 30 5(6x + 3) – 4(5x + 1) = 41 3(6x + 1) – 2(7x – 4) = 43 5(4x + 1) – 9(2x – 3) = 38 9(2x – 1) – 3(5x – 3) = 18 3(4x – 2) – 2(5x – 7) = 20 5(x – 3) – 2(x – 3) = 9 2. 3x + 4 + 2(x – 3) = 8 3. 3x + 4 – 2(x – 3) = 8 4. 2(x – 1) – 4 + x = 12 5. 4(x + 1) – 2x + 7 = 11 6. 3(2x + 7) – 2(x – 1) = 19 7. 6(x + 1) – 4(x + 1) = 0 8. 3(2x + 5) – 2(2x – 3) = 27 9. 5(8x – 4) – 7(5x – 2) = 14 Wednesday Solve the following equations: Thursday Solve the following equations: 1. 7(5x + 2) + 4(8 – 7x) = 60 1. 2. 3. 4. 5. 6. 7. 8. 9. 2. 3(9x – 2) + 2(7 – 12x) = 20 3. 4. 5. 6. 7. 8. 9. 8(x – 5) + 2(9 – 2x) = 2 7(3x – 4) – 4(3 – x) = 10 4x – 3 – 7(6 – x) = 10 6x + 8 – 2(2x – 9) = 31 13x – 2(4 + 5x) – 2 = 2 8 – 3(7 – 2x) + 4x = 12 5(4x + 1) – 3(6x + 1) = 0 6x + 3 + 2(4 – x) = 3 5(3 – 2x) – 4(1 – 2x) = 12 3(4 + 2x) – (x + 2) = 0 7(6 – 3x) – 3(4x – 2) = 10 5x – 9 – 4(2x – 3) = 18 8 – 5(4x – 1) + 19 = 22 9(2x – 3) – 5(3x – 7) = 6 8x – 4(3x – 1) – 2(2x – 4) = 1 3 + 5(7x – 1) – 4(4x – 3) = 9 Williamwood High School Mathematics Department Homework Booklet D Monday 1. Change to top heavy fractions: a. 43/5 b. 64/7 2. Change to mixed numbers: 18 b. /5 a. 13/4 6 4 3. What is /7 + /9 ? 4. Find 51/2 – 12/7 5. Work out the perimeter of this shape: 1 4 6. 7. 8. 9. Week 29 Tuesday 1. Change to top heavy fractions: a. 94/6 b. 31/4 2. Change to mixed numbers: 16 b. /3 a. 25/3 5 2 3. What is /8 + /3 ? 4. Find 33/4 – 23/10 5. Work out the perimeter of this shape: 1 /5 6 /9 What is 5/6 x 3/10 ? What is 8/9 x 5/12 ? Find 42/3 x 33/4 Find 5/6 ÷ 3/4 6. 7. 8. 9. Wednesday 1. Change to top heavy fractions: a. 41/3 b. 32/5 2. Change to mixed numbers: 12 b. /7 a. 31/6 4 3 3. What is /11 + /8 ? 4. Find 23/4 – 15/6 5. Work out the perimeter of this shape: 2 What is 7/8 x 4/13 ? What is 5/9 x 7/3 ? Find 11/5 x 15/7 Find 5/6 ÷ 3/4 /7 What is 5/8 x 4/7 ? What is 3/5 x 6/9 ? Find 11/2 x 22/9 Find 8/9 ÷ 2/3 Thursday 1. Change to top heavy fractions: a. 82/8 b. 46/13 2. Change to mixed numbers: 46 b. /5 a. 25/6 2 1 3. What is /3 + /11 ? 4. Find 13/7 – 5/9 5. Work out the perimeter of this shape: /5 4 12/3 6. 7. 8. 9. /3 21/2 6. 7. 8. 9. What is 6/5 x 7/12 ? What is 4/9 x 3/14 ? Find 22/3 x 15/8 Find 6/13 ÷ 3/26 /5 Williamwood High School Mathematics Department Homework Booklet D Week 30 Monday Solve the following equations: Tuesday Solve the following equations: 1. 2. 3. 4. 5. 6. 7. 8. 1. 2. 3. 4. 5. 6. 7. 8. 3(2x + 1) + 2(4x + 2) = 21 2(x + 2) + 3(x + 4) = 31 5(2x + 1) + 2(5x + 3) = 91 2(4x + 3) + 3(2x + 1) = 23 4(3x + 2) + 8(x + 1) = 56 5(2x + 1) + 2(x + 4) = 13 5(2x + 1) + 2(x + 3) = 71 3(x + 4) + 4(2x + 7) = 106 2(2x + 1) + 3(4x + 5) = 57 4(2x + 2) + 2(x + 4) = 41 2(4x + 6) + 3(2x + 5) = 22 3(8x + 12) + 2(6x + 7) = 14 6(x + 20 + 4(x – 3) = 50 4(2x + 2) + 2(x – 3) = 12 3(4x + 1) + 2(6x – 1) = 13 2(3x – 5) + 3(3x + 4) = 17 Wednesday Solve the following equations: Thursday Solve the following equations: 1. 2. 3. 4. 5. 6. 7. 8. 1. 2. 3. 4. 5. 6. 7. 8. 4(2x + 1) + 2(3x – 1) = 30 5(3x – 1) + 4(2x + 7) = 69 4(6x + 5) + 5(x – 3) = 92 3(2x + 3) + 2(4x – 1) = 21 4(x + 4) + 3(2x – 1) = 33 2(3x + 1) + 4(6x + 2) = 4 8(4x + 1) + 3(2x – 3) = 21 6(2x – 2) + 3(2x + 5) = 30 3(2x + 2) + 4(3x + 1) = 4(4x + 7) 5(3x + 1) + 2(2x + 3) = 6(3x + 4) 4(2x + 3) + 3(2x + 5) = 5(2x + 9) 8(x + 1) + 5(2x + 3) = 4(4x + 9) 3(2x + 3) + 4(x – 2) = 3(3x + 7) 5(6x + 3) + 2(4x – 3) = 6(6x + 5) 3(x + 7) + 2(x – 4) = 4(x + 8) 6(x – 1) + 2(4x + 8) = 3(4x + 9) Williamwood High School Homework Booklet D Mathematics Department Week 31 Monday Solve the following equations: Tuesday Solve the following equations: 1. 4x + 5 = 3x + 8 2. 8x + 4 = 7x + 6 3. 5x + 3 = 4x + 7 4. 3x + 1 = 2x + 10 5. 7x + 3 = 5x + 9 6. 10x + 4 = 8x + 8 7. 6x + 1 = 3x + 13 8. 12x + 7 = 2x + 27 9. 14x + 6 = 7x + 13 10. 9x + 4 = x + 24 1. 8x + 1 = 4x + 15 2. 3x + 10 = 4x + 3 3. 8x + 7 = 4x + 35 4. x + 7 = 3x + 1 5. x + 18 = 6x + 3 6. 2x + 11 = 4x + 5 7. 3x + 20 = 5x + 3 8. 8x + 19 = 12x + 5 9. 4x – 5 = 3x + 1 10. 6x – 2 = 5x + 4 Wednesday Solve the following equations: Thursday Solve the following equations: 1. 7x – 4 = 5x + 2 2. 9x – 1 = 7x + 7 3. 8x – 4 = 5x + 8 4. 6x – 7 = x + 3 5. 5x – 3 = x + 5 6. 4x – 7 = x + 8 7. 6x – 1 = x + 29 8. 12x – 5 = 8x + 3 9. 4x – 2 = 2x + 1 10. 12x – 5 = 8x + 3 1. 4x – 2 = 2x + 1 2. 6x – 7 = 4x + 8 3. 9x – 3 = 5x + 7 4. 7x – 2 = 3x + 11 5. 14x – 11 = 4x + 24 6. 23x – 15 = 13x + 30 7. 6x – 13 = 11 8. 7x – 8 = 27 9. 5x – 6 = 3x 10. 9x – 12 = 2x Williamwood High School Mathematics Department Homework Booklet D Week 32 Monday Multiply out the following and simplify: Tuesday Multiply out the following and simplify: 1. 2. 3. 4. 5. 6. 7. 8. 1. 2. 3. 4. 5. 6. 7. 8. 3(h – 5) 4r(r – 3) 2(j + 4) – 3 3 – 5(n – 3) 12 + 4(g – 7) + 10 7(f – 2) + 2(f + 4) 4(w + 3) – 2(w – 1) 10 – 5(k + 1) – 4(k – 2) 7(r + 2) 7g(g – 3) 9(u + 2) - 12 4 – 2(p + 1) 12 - 3(p – 1) + 4 4(k – 3) + 2(k – 1) 7(d – 7) – 2(d – 3) 14 – 3(h – 2) – 3(h – 1) Wednesday Multiply out the following and simplify: Thursday Multiply out the following and simplify: 1. 2. 3. 4. 5. 6. 7. 8. 1. 2. 3. 4. 5. 6. 7. 8. 6(q – 8) 8j(j – 3) 4(a – 6) + 4 5 – 2(m – 1) 9 + 5(z – 3) + 2z 12(e – 3) + 4(e – 1) 5(j – 3) – 2(j – 5) 14 – 3(h – 3) – 5(h + 2) 6(q – 3) 7g(2g – 3) 9(w – 3) + 3w 11 – 4(f – 3) 1 + 4(v – 3) + 5v 4(u – 4) + 3(u – 3) 9(w – 4) – 4(w – 2) 6 – 5(s – 1) – 2(s – 4) Williamwood High School Homework Booklet D Mathematics Department Week 33 Monday Calculate the missing quantity below: 1. S = 75m/hr, T = 2hrs, D = ? 2. S = 26.5km/hr, T = 3.5hrs, D = ? 3. T = 3hrs 15mins, D = 12miles, S = ? 4. T = 7hrs 45mins, D = 138miles, S = ? 5. D = 400km, S = 16km/hr, T = ? 6. D = 720miles, S = 80m/hr, T = ? 7. A family leave Glasgow at 7.35am, travelling a total of 114 miles to reach their destination. If the arrive at the destination at 1.50pm, calculate the speed of the car they were driving. 8. An athlete runs 200m in 27.6secs; calculate the average speed of the athlete. Tuesday Calculate the missing quantity below: 1. S = 52m/hr, T = 5hrs, D = ? 2. S = 39.8km/hr, T = 3.25hrs, D = ? 3. T = 6hrs 30mins, D = 40miles, S = ? 4. T = 4hrs 15mins, D = 200miles, S = ? 5. D = 266km, S = 28km/hr, T = ? 6. D = 517.5miles, S = 90m/hr, T = ? 7. A family leave Glasgow at 8.20am, travelling a total of 205 miles to reach their destination. If the arrive at the destination at 6.50pm, calculate the speed of the car they were driving. 8. An athlete runs 400m in 49.2secs; calculate the average speed of the athlete. Wednesday Calculate the missing quantity below: 1. S = 66m/hr, T = 4hrs, D = ? 2. S = 31.9km/hr, T = 7.75hrs, D = ? 3. T = 5hrs 30mins, D = 56miles, S = ? 4. T = 9hrs 45mins, D = 220miles, S = ? 5. D = 429km, S = 78km/hr, T = ? 6. D = 1020miles, S = 120m/hr, T = ? 7. A family leave Glasgow at 3.28am, travelling a total of 78 miles to reach their destination. If the arrive at the destination at 1.43pm, calculate the speed of the car they were driving. 8. An athlete runs 100m in 12.01secs; calculate the average speed of the athlete. Thursday Calculate the missing quantity below: 1. S = 94m/hr, T = 6hrs, D = ? 2. S = 55.1km/hr, T = 3.25hrs, D = ? 3. T = 1hrs 20mins, D = 7miles, S = ? 4. T = 6hrs 50mins, D = 212miles, S = ? 5. D = 507km, S = 78km/hr, T = ? 6. D = 656miles, S = 64m/hr, T = ? 7. A family leave Glasgow at 4.14am, travelling a total of 87 miles to reach their destination. If the arrive at the destination at 2.59pm, calculate the speed of the car they were driving. 8. An athlete runs 400m in 61.4secs; calculate the average speed of the athlete. Williamwood High School Mathematics Department Homework Booklet D Week 34 Monday Find the value of x in the following: Tuesday Find the value of x in the following: 1. 1. x 19o 9m x 10m 14m 2. 2. 23m 41m x 27m x 7m 3. Solve 5(e – 2) - 3 = 2(e + 6) + 12 4. Solve 8(i – 4) – 2(i – 3) = 10 3. Solve 2(f – 7) + 3 = 5(f - 1) + 7 4. Solve 9(d – 2) + 3(d – 1) = 5 Wednesday Find the value of x in the following: Thursday Find the value of x in the following: 1. 1. x x 47o 31o 23m 20m 2. 2. 3.2m x x 10.4m 62m 51o 3. Solve 10 – 4(j – 2) = 7(j – 1) 4. Solve 5(r – 4) – 2(r + 1) = 20 3. Solve 2 – 6(h – 2) = 4(h + 2) 4. Solve 6(k + 4) – 2(k – 3) = 1 Williamwood High School Mathematics Department Homework Booklet D Monday Find the value of x in the following right angled triangles: 1. Week 35 Tuesday Find the value of x in the following right angled triangles: 1. 9m x 25m 51o 23o x 2. 2. 42 5m 28m 3. x x o 41 o 3. 9m 17m x 7m x 9m Wednesday Find the value of x in the following right angled triangles: 1. x Thursday Find the value of x in the following right angled triangles: 1. 31m 77o x 50o x o 121m 2. 23m 2. 34 3. 1.2m o x 2.8m x 312m 33 3. 90m 43m x Williamwood High School Homework Booklet D Mathematics Department Week 36 Monday 1. Simplify 4e – 3 + 5y + 7 – 2y + 3e 2. Simplify 4(h – 3) + 5h 3. Share £24000 in the ratio of 7 : 5 4. Find 3/4 – 1/5 5. Solve 4e – 3 = 2e + 7 6. Write 347000 in scientific notation 7. Write 4.38 x 10-5 in number form 8. Solve 7(p – 4) – 3p = 9(p – 1) 9. A car takes 5 hours 45 minutes to travel 670miles. Calculate the speed in miles/hr 10. Simplify (r – 5)(r + 4) Tuesday 1. Simplify 5 – 4r + 8g – 5r + 3 – 2g 2. Simplify 7 – 3(j – 4) 3. Share £8100 in the ratio of 5 : 4 4. Find 21/7 x 3/5 5. Solve 7r + 3 = 2r - 19 6. Write 0.00042 in scientific notation 7. Write 7.661 x 104 in number form 8. Solve 6(u – 3) + 2u = 3(u – 4) 9. A car takes 2 hours 15 minutes to travel 598miles. Calculate the speed in miles/hr. 10. Simplify (3e + 2)(2e – 5) Wednesday 1. Simplify 7b + 4d – 3 + 5b – 10d 2. Simplify 6(j – 2) – 3(j – 1) 3. Share £64000 in the ratio of 6 : 2 4. Find 9/11 + 2/3 5. Solve 8r + 5 = 2r - 12 6. Write 0.00411 in scientific notation 7. Write 9.63 x 10-3 in number form 8. Solve 5(h – 3) + 7h = 2(h – 1) 9. A car takes 9 hours 30 minutes to travel 714miles. Calculate the speed in miles/hr 10. Simplify (6y – 3)(2y + 9) Thursday 1. Simplify 5r – 3 + 2c + 7r – 4c + 9 2. Simplify 4 – 5(h – 3) – 2(h – 4) 3. Share £121000 in the ratio of 6 : 5 4. Find 4/5 ÷ 7/15 5. Solve 8q + 12 = 3q - 9 6. Write 187900 in scientific notation 7. Write 2.19 x 104 in number form 8. Solve 5(i – 3) + 4i = 3(i – 2) 9. A car takes 3 hours 35 minutes to travel 318miles. Calculate the speed in miles/hr 10. Simplify (8j + 5)(2j – 3)