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Year 7, 2014

Year 7, 2014. Exam revision ANSWERS. Tick off, when you have revised!. What’s in your Exam:. Number : 3.3 Rounding Numbers  1.3 Arithmetic  1.2 Averages and Range  1.6 Long Multiplication and Division 1.5 Decimals 1  2.2 Fractions  4.1 Ratio & Proportion 

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Year 7, 2014

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  1. Year 7, 2014 Exam revision ANSWERS

  2. Tick off, when you have revised! What’s in your Exam: Number: 3.3 Rounding Numbers 1.3 Arithmetic  1.2 Averages and Range  1.6 Long Multiplication and Division 1.5 Decimals 1  2.2 Fractions  4.1 Ratio & Proportion  2.5 Percentages  3.2 Orders of Operation  3.1 Properties of Number  3.4 Negative Numbers  4.6 Metric and Imperial Units  4.2 Decimals 2  Algebra: 2.1 Number Machines  1.1 Sequences  2.4 Rules of Algebra  4.3 Solving Equations  2.3 Coordinates  4.4 Straight Line Graphs  Shape and space: 1.4 Area and Perimeter  3.6 Calculating Angles  5.2 Reflection  5.1 Rotation  5.3 Translation  5.4 Construction  3.5 3D Objects and Nets 4.5 Solving Problems 

  3. Rounding Round these numbers to the nearest 10: 1) 15 2) 34 3) 57 4) 121 5) 299 Round these numbers to the nearest 1 dp: 1) 15.21 2) 34.37 3) 57.59 4) 121.35 5) 205.99

  4. Round these numbers to the nearest 10: 1) 15 2) 34 3) 57 4) 121 5) 299 20 30 60 120 300 Round these numbers to the nearest 1 dp: 1) 15.21 2) 34.37 3) 57.59 4) 121.35 5) 205.99 15.2 34.4 57.6 121.4 206.0

  5. Arithmetic 1 234 + 25 532 + 17 699 + 19 999+127 19+35 55-11 39-12 126-17 319-21 678-99

  6. 234 + 25 532 + 17 699 + 19 999+127 19+35 55-11 39-12 126-17 319-21 678-99 259 549 718 1126 54 44 27 109 298 579

  7. Averages and Range

  8. 7 21 6m Blue car 6 7.8 18 28 10.5 13 1.5 8cm 5m2

  9. Multiplication and division: 12 x 13 62 x 9 199 x 9 505 x 5 31 x 30 715 ÷ 4 235 ÷ 5 48 ÷ 4 558 ÷ 9 14032 ÷ 8

  10. 12 x 13 62 x 9 199 x 9 505 x 5 31 x 30 715 ÷ 4 235 ÷ 5 48 ÷ 4 558 ÷ 9 14032 ÷ 8 156 558 1791 2525 930 178.75 47 12 62 1754

  11. Decimals 1: Arrange these in order smallest to biggest 1)0.21, 0.31, 0.12 2)0.15, 0.143, 0.2 3) 1.2, 0.12, 0.21, 1.12 4) 2.3, 2.03, 0.75, 0.8 5) £1.20, 75p, £0.8 Work out: 5+0.26 0.078+2.05 13.47+27.084 59.2-34.8 12-3.74

  12. Arrange these in order smallest to biggest 1)0.21, 0.31, 0.12 2)0.15, 0.143, 0.2 3) 1.2, 0.12, 0.21, 1.12 4) 2.3, 2.03, 0.75, 0.8 5) £1.20, 75p, £0.8 0.12, 0.21, 0.31 0.143, 0.15, 0.2 0.12, 0.21, 1.12, 1.2 0.75, 0.8, 2.03, 2.3 75p, £0.8, £1.20 Work out: 5+0.26 0.078+2.05 13.47+27.084 59.2-34.8 12-3.74 5.26 2.128 40.554 24.4 8.26

  13. Decimals 2: 5.1 x 2 9 x 0.074 0.3 x 4 4.23 x 10 0.427 x 100 8.42 ÷ 2 205.2 ÷ 6 89.2 ÷ 10 7 ÷ 1000 890.4 ÷ 10

  14. 10.2 0.666 1.2 42.3 42.7 4.21 34.2 8.92 0.007 89.04 5.1 x 2 9 x 0.074 0.3 x 4 4.23 x 10 0.427 x 100 8.42 ÷ 2 205.2 ÷ 6 89.2 ÷ 10 7 ÷ 1000 890.4 ÷ 10

  15. Harder (level 6 ) decimal questions 51 x 0.02 912 ÷ 0.12 5791 × 21.3 69.2 ÷ 13 (3dp) 1.02 7600 123348.3 5.323

  16. Harder (level 6 ) decimal questions 51 x 0.02 912 ÷ 0.12 5791 × 21.3 69.2 ÷ 13 (3dp)

  17. Fractions 1: Work out what the “?” represents: 15 = ? 20 4 2) 8 = ? = ? 12 6 3 3) ? = 3 = 15 21 7 ? 4) ? = 3 = ? 10 5 25 5) 21 = ? = 7 ? 30 15

  18. Work out what the “?” represents: 15 = ? 20 4 2) 8 = ? = ? 12 6 3 3) ? = 3 = 15 21 7 ? 4) ? = 3 = ? 10 5 25 5) 21 = ? = 7 ? 30 15 3 4, 2 9, 35 6, 15 45, 14

  19. Fractions 2: Change the following to mixed numbers: 7/2 10/7 9/4 150/100 19/5 Change the following to improper fractions: 1 ¼ 1 ⅓ 2⅟5 8 3/7 3 1/10

  20. Change the following to mixed numbers: 7/2 10/7 9/4 150/100 19/5 Change the following to improper fractions: 1 ¼ 1 ⅓ 2⅟5 8 3/7 3 1/10 3 ½ 1 3/7 2 ¼ 1 ½ 3 4/5 5/4 4/3 11/5 59/7 31/10

  21. Fractions 3: Find the given fractions of the numbers: 3/8 of £24 ¾ of £36 5/8 of 480cm 7/10 of 30g 5/9 of £108 5/8 of 64p 2/3 of 120cm 8/9 of 72litres 2/5 of 30p 2/3 of 30kg

  22. Find the given fractions of the numbers: 3/8 of £24 ¾ of £36 5/8 of 480cm 7/10 of 30g 5/9 of £108 5/8 of 64p 2/3 of 120cm 8/9 of 72litres 2/5 of 30p 2/3 of 30kg £9 £27 300cm 21g £60 40p 80cm 64litres 12p 20kg

  23. Fractions 4: 1/5 + 2/5 1/6 + 4/6 9/10 – 3/10 12/15 – 5/15 ¼+ ½ 3/8 + ½ 5/8 – ½ 2/3 – 1/6 1/10 – 1/20 7/8 – 1/2

  24. 1/5 + 2/5 1/6 + 4/6 9/10 – 3/10 12/15 – 5/15 ¼+ ½ 3/8 + ½ 5/8 – ½ 2/3 – 1/6 1/10 – 1/20 7/8 – 1/2 3/5 5/6 3/5 7/15 ¾ 7/8 1/8 ½ 1/20 3/8

  25. Fractions 5: Change these fractions to decimals and percentages ¼ ½ 1/3 1/100 1/10 2/10 9/10 27/100 11/20 2/25

  26. Change these fractions to decimals and percentages ¼ ½ 1/3 1/100 1/10 2/10 9/10 27/100 11/20 2/25 0.25, 25% 0.5, 50% 0.333333....., 33.3333...% 0.01, 1% 0.1, 10% 0.2, 20% 0.9, 90% 0.27, 27% 0.55, 55% 0.08, 8%

  27. Ratios Write these ratios in the simplest form: 8:12 5:25 9:15 12:30 21:35 24:32 36:54 44:77 36:84 65:39

  28. Write these ratios in the simplest form: 8:12 5:25 9:15 12:30 21:35 24:32 36:54 44:77 36:84 66:39 2:3 1:5 3:5 2:5 3:5 3:4 2:3 4:7 3:7 22:13

  29. Ratios2: Divide the numbers into the ratios £18 into 1:2 £27 into 2:7 £35 into 2:3 £42 into 3:4 £100 into 3:7

  30. Divide the numbers into the ratios £18 into 1:2 £27 into 2:7 £35 into 2:3 £42 into 3:4 £100 into 3:7 £6 and £12 £6 and £21 £14 and £21 £18 and £24 £30 and £70

  31. Percentages1 20% of £50 10% of £90 50% of £45 90% of £100 1% of £300 5% of $100 60% 0f 60 30% of $40 40% OFF £30 10% OFF $40

  32. 20% of £50 10% of £90 50% of £45 90% of £100 1% of £300 5% of $100 60% 0f 60 30% of $40 40% OFF £30 10% OFF $40 £10 £9 £27.50 £90 £3 $5 36 $12 £18 $36

  33. Percentages 2: Use a calculator to work out: 24% of £32 97% of 4000 35% of 400m 37% of £9.65 8% of £11.64 11% of 710km 6% of £406 18% of 28km 19% of £1120 12% of £24.52

  34. Use a calculator to work out: 24% of £32 97% of 4000 35% of 400m 37% of £9.65 8% of £11.64 11% of 710km 6% of £406 18% of 28km 19% of £1120 12% of £24.52 £7.68 3880 140m £3.57 £0.93 78.1km £24.36 5.04km £212.80 £2.94

  35. Pg15 Questions Order of operations: 96 ÷ 4 – 4 9 + 26 ÷ 13 1 x 2 + 3 4 x 11 – 28 ÷ 7 13 x 11 – 4 x 8 30 – 9 x 2 + 40 (20-12) x (17 – 9) 1001 + (57 x 3) (16 – 7) x 6 (2 x 5 x 3) ÷ (11-5)

  36. 96 ÷ 4 – 4 9 + 26 ÷ 13 1 x 2 + 3 4 x 11 – 28 ÷ 7 13 x 11 – 4 x 8 30 – 9 x 2 + 40 (20-12) x (17 – 9) 1001 + (57 x 3) (16 – 7) x 6 (2 x 5 x 3) ÷ (11-5) 10 11 5 40 111 52 64 1172 54 5

  37. Number properties1: Write all the factors of: 12 24 36 15 18 Write the first 5 multiples of: 4 7 9 12 15

  38. Write all the factors of: 12 24 36 15 18 Write the first 5 multiples of: 4 7 9 12 15 1,2,3,4,6,12 1,2,3,4,6,8,12,24 1,2,3,4,6,9,12,18,36 1,3,5,15 1,2,3,6,9,18 4,8,12,16,20 7,14,21,28,35 9,18,27,36,45 12,24,36,48,60 15,30,45,60,75

  39. Choose the numbers that fall into the group written above the table. Unravel them to find the name of a county cricket team. • 1: Prime Numbers • 2: Cube Numbers • 3: Triangular Numbers • 4: Powers of 2

  40. Negative numbers1: 6 + - 4 -3 + - 6 -4 – 1 8 – 13 -2 + 4 -3 - - 2 7 - + 10 7 + - 9 - 6 - - 6 -8 + - 2

  41. 6 + - 4 -3 + - 6 -4 – 1 8 – 13 -2 + 4 -3 - - 2 7 - + 10 7 + - 9 - 6 - - 6 -8 + - 2 2 -9 -5 -5 2 -1 -3 -2 0 -10

  42. Complete the table

  43. – 4 x 1 = ___ • – 4 x 2 = ___ • – 4 x 3 = ___ • – 4 x 4 = ___ • Negative x Positive = _________ • – 4 ÷ – 4 = 1 • – 8 ÷ – 4 = ___ • – 12 ÷ – 4 = ___ • – 16 ÷ – 4 = ___ • Negative ÷ Negative = ___________ • 4 x 1 = _4_ • 4 x 2 = ___ • 4 x 3 = ___ • 4 x 4 = ___ • Positive × Positive = _________ • 4 ÷ 4 = 1 • 8 ÷ 4 = ___ • 12 ÷ 4 = ___ • 16 ÷ 4 = ___ • Positive ÷ Positive = ___________

  44. Unit conversions: Convert 12.5cm to inches. The longest nose on a living person is 8.8cm. Convert this measurement to inches. The largest bubble gum bubble blown has a diameter of 20.3 inches. Convert this measurement to centimetres. Convert 51cm into feet. The longest snake ever is 7.3m. Convert to feet. (Hint: convert 7.3m to centimetres first, then into feet) Convert 6.5 feet into (i) cm (ii) m. Convert the following into litres: 4 pints and 3 gallons Convert the following into pints: 855 ml and 7 l Convert the following into kilograms:4.4 pounds & 1 stone Convert the following into kilometres:9 miles &16.5 miles Extension question I run a 10km race in 56 minutes. What is my average speed for the race in: a) kilometres per minute b) miles per minute c) miles per hour

  45. 12.5cm / 2.5 = 5 inches 8.8cm / 2.5 = 3.52 = 3.5 inches (1 dp) 20.3 inches x 2.5 = 50.75 = 50.8cm (1 dp) 51cm / 30 = 1.7 feet 7.3m = 730cm. 730 / 30 = 24.33333…. = 24.3 feet (1 dp) (i) 6.5 feet x 30 = 195cm (ii)195 / 100 = 1.95m 4 pints / 1.75 = 2.285714…. = 2.3 litres (1 dp) b) 3 gallons x 4.5 = 13.5 litres 855ml / 570 = 1.5 pints b) 7l x 1.75 = 12.25 pints 4.4 pounds / 2.2 = 2 kg b) 1 stone = 14 pounds. 14 / 2.2 = 6.36363636… = 6.4 kg (1 dp) 9miles x 1.6 = 14.4 km b) 16.5 miles x 1.6 = 26.4 km a) 10km / 56 minutes = 0.1785714… = 0.2 km per minute b) 10 km / 1.6 = 6.25 miles. 6.25 miles / 56 minutes = 0.11160714… = 0.1 miles per minute c) 60 mins in 1 hour. 0.11160714… x 60 = 6.69642857…. = 6.7 miles per hour

  46. Number machines

  47. 6 25 11 40 2 6 15 5 25 18 11 6 27 60 1 2 2 22 7 8 9 18 7 4 25 17

  48. Sequences Copy and complete the sequences: 1,3,5,?,9,? 2,4,?,8,10,? 3,?,9?,15,18,? 33,30,?,24,? 66,?,?,33,?,11 2?,8,?,14,17,? 8,?,18,?,28,? Work out the next two terms and the term to term rule: 4,8,12,16 27,24,21,18 100,200,400,800 1,10,100,1000 0,250,500,750 812,712,612,512 318,338,358,378

  49. Copy and complete the sequences: 1,3,5,?,9,? 2,4,?,8,10,? 3,?,9?,15,18,? 33,30,?,24,? 66,?,?,33,?,11 2?,8,?,14,17,? 8,?,18,?,28,? Work out the next two terms and the term to term rule: 4,8,12,16 27,24,21,18 100,200,400,800 1,10,100,1000 0,250,500,750 812,712,612,512 318,338,358,378 7,11 6,12 6,12,21 27,21 55,44,22 5,11,20 13,23,33 20,24 +4 15,12 -3 1600,3200 x2 10000,100000, x10 1000,1250 +250 412,312 -100 398,418 +20

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