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* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project
Homework Booklet E Week 1 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 Homework Booklet E Week 2 Monday Simplify the following expressions: 1. 4e + 6f – 3e + 2f 2. 8y + 3g – 2y + 5g 3. 6u – 3j + 2u + 5j Find the following: 4. 3.24 x 100 5. 0.7 x 1000 6. 64.5 ÷ 100 7. 4 ÷ 1000 Round the following to 1 decimal place: 8. 4.276 9. 112.756 10. 0.052 Tuesday Simplify the following expressions: 1. 5r – 3s + 2r – 1s 2. 10b + 2c – 4b + 2c 3. 8n + 3c – 2n + 5c Find the following: 4. 6.38 x 100 5. 1.3 x 1000 6. 34.2 ÷ 100 7. 8 ÷ 1000 Round the following to 1 decimal place: 8. 6.374 9. 98.338 10. 55.555 Wednesday Simplify the following expressions: 1. 6x + 2z – 3x - z 2. 3e – w + 5e + 3w 3. 8a – 3b + 2a + 5b Find the following: 4. 8.91 x 100 5. 2.9 x 1000 6. 109.11 ÷ 100 7. 0.51 ÷ 1000 Round the following to 1 decimal place: 8. 2.3976 9. 57.3876 10. 0.1965 Thursday Simplify the following expressions: 1. 2e + 8f – e + 6f 2. 4y + 8g – y + 7g 3. 6b – 3h + 2b + 5h Find the following: 4. 2.19 x 100 5. 0.45x 1000 6. 78.69 ÷ 100 7. 7 ÷ 1000 Round the following to 1 decimal place: 8. 5.551 9. 109.86 10. 10.051 Homework Booklet E Week 3 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. Homework Booklet E Week 4 Monday Write the following as fractions in their simplest form: 1. 25% 2. 10% 3. 40% 4. 3% Find the following: 5. 30% of £210 6. 7% of £400 7. 75% of £784 Change the following to mm: 8. 4cm 9. 1m 10. 2km Tuesday Write the following as fractions in their simplest form: 1. 50% 2. 60% 3. 331/3% 4. 7% Find the following: 5. 20% of £475 6. 3% of £800 7. 25% of £528 Change the following to mm: 8. 6cm 9. 0.4m 10. 1/2km Wednesday Write the following as fractions in their simplest form: 1. 662/3% 2. 20% 3. 15% 4. 11% Find the following: 5. 70% of £320 6. 9% of £900 7. 75% of £784 Change the following to mm: 8. 4cm 9. 1m 10. 2km Thursday Write the following as fractions in their simplest form: 1. 90% 2. 80% 3. 5% 4. 9% Find the following: 5. 80% of £845 6. 17% of £700 7. 25% of £656 Change the following to mm: 8. 0.25cm 9. 6m 10. 0.14km Homework Booklet E Week 5 Monday Simplify the following ratio: 1. 6:9 2. 28 : 35 3. 32 : 48 4. The ratio of wet to dry is 3 : 7. If there are 12 wet days, how many are dry? 5. Share £64000 in the ratio of 5 : 3 6. Share £320565 in the ratio of 2 : 5 7. If 3 shirts cost £75, find the cost of 9 shirts. 8. If 7 cups of coffee cost £17.85, find the cost of 11 cups of coffee. Tuesday Simplify the following ratio: 1. 18 : 24 2. 35 : 60 3. 17 : 34 4. The ratio of wet to dry is 4 : 9. If there are 36 dry days, how many are wet? 5. Share £144000 in the ratio of 1 : 11 6. Share £2142815 in the ratio of 2 : 3 7. If 3 shirts cost 63, find the cost of 12 shirts 8. If 6 cups of coffee cost £18.90, find the cost of 10 cups of coffee. Wednesday Simplify the following ratio: 1. 14 : 42 2. 21 : 39 3. 27 : 81 4. The ratio of wet to dry is 8 : 5. If there are 48 wet days, how many are dry? 5. Share £169000 in the ratio of 10 : 3 6. Share £1881.6 in the ratio of 2 : 6 7. If 9 shirts cost £468, find the cost of 13 shirts. 8. If 5 cups of coffee cost £20.50, find the cost of 17 cups of coffee. Thursday Simplify the following ratio: 1. 24 : 42 2. 77 : 14 3. 60 : 85 4. The ratio of wet to dry is 7 : 6. If there are 56 wet days, how many are dry? 5. Share £22500 in the ratio of 10 : 5 6. Share £121000 in the ratio of 4 : 7 7. If 12 shirts cost £120, find the cost of 23 shirts. 8. If 7 cups of coffee cost £49.77, find the cost of 9 cups of coffee. Homework Booklet E Week 6 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 Homework Booklet E Week 7 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 Homework Booklet E Week 8 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 Homework Booklet E Week 9 Monday Find the following: 1. 18 – (-4) 2. -3 + (-7) 3. -17 – (-5) 4. 10 – (-11) 5. 9 x (-3) 6. -4 x (-5) 7. 36 ÷ (-9) 8. -75 ÷ (-5) 9. 13 + (-9) – (-12) 10. -52 Tuesday Find the following: 1. 8 – (-9) 2. -9 + (-4) 3. -10 – (-8) 4. 14 – (-23) 5. 5 x (-7) 6. -7 x (-3) 7. 48 ÷ (-6) 8. -81 ÷ (-9) 9. 8 + (-7) – (-21) 10. -72 Wednesday Find the following: 1. 29 – (-5) 2. -12 + (-8) 3. -8 – (-13) 4. 9 – (-17) 5. 8 x (-7) 6. -9 x (-3) 7. 54 ÷ (-9) 8. -121 ÷ (-11) 9. -8 + (-6) – (-20) 10. -132 Thursday Find the following: 1. 15 – (-6) 2. -5 + (-12) 3. -10 – (-9) 4. 50 – (-20) 5. 8 x (-5) 6. -3 x (-9) 7. 99 ÷ (-9) 8. -32 ÷ (-8) 9. 19 + (-14) – (-4) 10. -42 Homework Booklet E Week 10 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) Homework Booklet E 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: 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. Week 11 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 Homework Booklet E Week 12 Monday 1. Change to top heavy fractions: a. 43/5 b. 64/7 2. Change to mixed numbers: 18 a. 13/4 b. /5 6 4 3. What is /7 + /9 ? 4. Find 51/2 – 12/7 5. Work out the perimeter of this shape: Tuesday 1. Change to top heavy fractions: a. 94/6 b. 31/4 2. Change to mixed numbers: 16 a. 25/3 b. /3 5 2 3. What is /8 + /3 ? 4. Find 33/4 – 23/10 5. Work out the perimeter of this shape: 6. Convert your answer to Qu5 to a top heavy fraction. 7. What is 5/6 x 3/10 ? 8. What is 8/9 x 5/12 ? 9. Find 42/3 x 33/4 10. Find 5/6 ÷ 3/4 6. Convert your answer to Qu5 to a top heavy fraction. 7. What is 5/8 x 4/7 ? 8. What is 3/5 x 6/9 ? 9. Find 71/7 x 28/9 10. Find 8/9 ÷ 2/3 Wednesday 1. Change to top heavy fractions: a. 41/3 b. 32/5 2. Change to mixed numbers: 12 a. 31/6 b. /7 4 3 3. What is /11 + /8 ? 4. Find 63/7 – 25/6 5. Work out the perimeter of this shape: Thursday 1. Change to top heavy fractions: a. 82/8 b. 46/13 2. Change to mixed numbers: 46 a. 25/6 b. /5 2 1 3. What is /3 + /11 ? 4. Find 83/7 – 5/9 5. Work out the perimeter of this shape: 6. Convert your answer to Qu5 to a top heavy fraction. 7. What is 7/8 x 4/13 ? 8. What is 5/9 x 7/3 ? 9. Find 81/5 x 25/7 10. Find 5/6 ÷ 3/4 6. Convert your answer to Qu5 to a top heavy fraction. 7. What is 6/5 x 7/12 ? 8. What is 4/9 x 3/14 ? 9. Find 61/3 x 45/8 10. Find 6/13 ÷ 3/26 Homework Booklet E Week 13 Monday Solve the following equations: Tuesday Solve the following equations: 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 1. g – 3 = 16 2. 7 + f = 10 3. 5n = 14 4. 8j – 12 = 20 5. -3b + 5 = 8b - 4 6. 11f – 4 = 8f + 9 7. 6z – 14 = 2z + 19 8. 3s + 8 = 7s - 3 9. 34r – 5 = 20r + 18 10. 4b – 15 = 7b + 13 w + 5 = 12 h – 2 = 12 3i = 12 4e – 5 = 19 5j + 7 = 30 4y – 6 = 2y + 10 3d – 12 = 8d + 2 4c – 12 = 5c + 9 2a + 7 = 10 – 3a 8b – 12 = 5b + 50 Wednesday Solve the following equations: Thursday Solve the following equations: 1. k – 3 = 14 2. 23 – r = 12 3. 5j = 45 4. 8t – 4 = 23 5. 4q + 3 = 14 6. 5e – 3 = 2e + 9 7. 8f – 2 = 3f + 17 8. 8m + 13 = 7m – 14 9. 65 – 4r = 3r + 20 10. 17 – 8f = 23 + 5f 1. y – 23 = 44 2. 14 – e = 12 3. 6g = 72 4. 4b – 3 = 25 5. 2w + 2 = 7 6. 5y – 3 = 2y + 17 7. 6f + 7 = 3f – 12 8. 4s + 9 = 2s – 3 9. 80 – 4e = 3e + 40 10. 12 – 6j = 14 - 3j Homework Booklet E Week 14 Monday Solve the following equations: Tuesday Solve the following equations: 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 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 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 12x + 7 = 2x + 27 14x + 6 = 7x + 13 9x + 4 = x + 24 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 Homework Booklet E Week 15 Monday Remove the following brackets and simplify where possible: Tuesday Remove the following brackets and simplify where possible: 1. 2. 3. 4. 5. 6. 7. 8. 9. 1. 2. 3. 4. 5. 6. 7. 8. 9. 3(h – 3) 5(h + 2) 8(j – 2) + 3 7(e + 4) – 2e 9(d – 1) + 4 5(h – 3) + 4(h + 2) 3(w – 1) – 3(w – 2) 10 + 4(y – 1) – 2(y – 3) 12 – 5(g – 3) – 2(g – 5) 4(p – 2) 6(i + 4) 5(h – 1) + 2 5(u - 2) + 2u 8(a - 2) - 5 3(w - 2) + 4(w - 1) 4(f – 2) – 5(f – 8) 6 + 2(e – 3) - 3(e – 2) 7 – 5(p + 1) – (p – 4) Wednesday Remove the following brackets and simplify where possible: Thursday Remove the following brackets and simplify where possible: 1. 2. 3. 4. 5. 6. 7. 8. 9. 1. 2. 3. 4. 5. 6. 7. 8. 9. 4(e – 7) 7(q - 1) 5(w – 2) - 4 9(z – 1) – 4z 7(u – 9) + 5 4(n + 5) + 3(n + 2) 7(i - 3) – 6(i– 7) 1 + 4(k – 3) – 7(k + 4) 9 – 3(f – 1) – 4(f – 2) 4(u – 3) 2(g + 2) 7(d – 2) + 1 7(r - 3) – 4r 8(c – 2) + 2 4(k - 1) + 6(k + 2) 7(i – 2) – 4(i – 3) 18 + 5(v – 2) – 9(v – 1) 14 – 2(s – 2) – 5(s – 3) Homework Booklet E Week 16 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) Homework Booklet E Monday For questions 1 to 4 use a = 0.05, b = 30, c = 600 1. Evaluate b ÷ a Week 17 Tuesday For questions 1 to 4 use a = 5, b = 30, c = 0.006 1. Evaluate b ÷ a 2. Evaluate c ÷ a 2. Evaluate c ÷ a 3. Evaluate (c x b) ÷ a 3. Evaluate (c x b) ÷ a 4. Evaluate a x b x c 4. Evaluate a x b x c 5. Round to 2 decimal places: 3.14159 6. A map has a scale of 1:25 000, the distance between two towns on the map is 10 cm, calculate the real distance between towns. 7. Factorise 18x³y – 45x²y² 5. Round to 2 decimal places; 19.9999 6. A map has a scale of 1:50 000, the distance between two towns on the map is 8 cm, calculate the real distance between the towns. 7. Factorise 8x³y² – 24x²y³ 8. Calculate the area of this rhombus 8. Calculate the area of this rhombus Wednesday For questions 1 to 4 use a = 40, b = 0.1, Thursday For questions 1 to 4 use a = 0.004, b = 20, c = 0.05 c=6 1. Evaluate b ÷ a 1. Evaluate b ÷ a 2. Evaluate c ÷ a 2. Evaluate c ÷ a 3. Evaluate (c x b) ÷ a 3. Evaluate (c x b) ÷ a 4. Evaluate a x b x c 4. Evaluate a x b x c 5. Round to 3 decimal places; 7.6275 5. Round to 3 decimal places; 16. 56999 6. A map has a scale of 1:50 000, the 6. A map has a scale of 1:25 000, the distance between two towns on the map distance between 2 towns on the map is is 15 cm, calculate the real distance 7 cm, calculate the real distance between towns. between towns. 2 3 3 3 7. Factorise 36a bc – 18a b c 7. Factorise 14a2 bc2 – 49ab3c3 8. Calculate the area of this rhombus 8. Calculate the area of this rhombus with diagonals measuring 8cm and 23cm. Homework Booklet E Week 18 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 47 31 23m o o 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 – 1) = 4(h + 2) 4. Solve 6(k + 4) – 2(k – 3) = 1 Homework Booklet E Monday Find the value of x in the following right angled triangles: 1. Week 19 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 x 34 3. 1.2m o 2.8m x 2. 312m 33 3. 90m 43m x Homework Booklet E Week 20 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)