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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 893 · 40 questions
TalentJR

How to solve it (Look at the gaps): Look at two numbers side by side and find the jump: 5 → 10 is a jump of +5. Is the jump the same every time? Then add the same jump once more to the last number. Going down? Take away the same jump. Harder patterns: the jump can grow (+2, +3, +4 …) or the numbers can double (2, 4, 8, 16 …).

NameDateTime takenScore ___ / 40
  1. 1.What comes next? 6, 9, 8, 11, 10, 13, ? (a) 12 (b) 11 (c) 14 (d) 16
  2. 2.What comes next? 18, 24, 30, 36, 42, ? (a) 48 (b) 54 (c) 47 (d) 49
  3. 3.What comes next? 10, 15, 12, 17, 14, 19, ? (a) 15 (b) 24 (c) 16 (d) 22
  4. 4.What comes next? 48, 43, 38, 33, 28, ? (a) 23 (b) 24 (c) 22 (d) 18
  5. 5.What comes next? 34, 31, 28, 25, 22, ? (a) 18 (b) 16 (c) 19 (d) 20
  6. 6.What comes next? 22, 33, 44, 55, 66, ? (a) 77 (b) 88 (c) 76 (d) 78
  7. 7.What comes next? 70, 61, 52, 43, 34, ? (a) 26 (b) 25 (c) 16 (d) 24
  8. 8.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 162 (c) 90 (d) 180
  9. 9.What comes next? 2, 6, 11, 17, 24, ? (a) 34 (b) 33 (c) 32 (d) 31
  10. 10.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 96 (c) 129 (d) 128
  11. 11.What comes next? 23, 21, 19, 17, 15, ? (a) 13 (b) 11 (c) 14 (d) 12
  12. 12.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 33 (c) 24 (d) 32
  13. 13.What comes next? 1, 4, 2, 5, 3, 6, ? (a) 9 (b) 3 (c) 4 (d) 8
  14. 14.What comes next? 28, 37, 46, 55, 64, ? (a) 73 (b) 82 (c) 74 (d) 72
  15. 15.What comes next? 20, 26, 32, 38, 44, ? (a) 49 (b) 50 (c) 51 (d) 56
  16. 16.What comes next? 16, 14, 12, 10, 8, ? (a) 5 (b) 7 (c) 6 (d) 4
  17. 17.What comes next? 15, 19, 23, 27, 31, ? (a) 35 (b) 34 (c) 36 (d) 39
  18. 18.What comes next? 15, 13, 11, 9, 7, ? (a) 3 (b) 4 (c) 6 (d) 5
  19. 19.What comes next? 13, 15, 18, 22, 27, ? (a) 32 (b) 35 (c) 34 (d) 33
  20. 20.What comes next? 15, 16, 18, 21, 25, ? (a) 32 (b) 30 (c) 29 (d) 31
  21. 21.What comes next? 40, 38, 36, 34, 32, ? (a) 30 (b) 29 (c) 31 (d) 28
  22. 22.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 65 (c) 48 (d) 64
  23. 23.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 120 (c) 161 (d) 200
  24. 24.What comes next? 2, 3, 5, 8, 12, ? (a) 18 (b) 16 (c) 19 (d) 17
  25. 25.What comes next? 2, 6, 3, 7, 4, 8, ? (a) 11 (b) 4 (c) 5 (d) 12
  26. 26.What comes next? 7, 8, 10, 13, 17, ? (a) 21 (b) 23 (c) 24 (d) 22
  27. 27.What comes next? 62, 53, 44, 35, 26, ? (a) 8 (b) 18 (c) 17 (d) 16
  28. 28.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 192 (c) 144 (d) 240
  29. 29.What comes next? 30, 38, 46, 54, 62, ? (a) 78 (b) 69 (c) 71 (d) 70
  30. 30.What comes next? 35, 30, 25, 20, 15, ? (a) 5 (b) 11 (c) 9 (d) 10
  31. 31.What comes next? 21, 24, 27, 30, 33, ? (a) 39 (b) 37 (c) 36 (d) 35
  32. 32.What comes next? 65, 57, 49, 41, 33, ? (a) 26 (b) 24 (c) 17 (d) 25
  33. 33.What comes next? 8, 9, 11, 14, 18, ? (a) 25 (b) 24 (c) 22 (d) 23
  34. 34.What comes next? 30, 41, 52, 63, 74, ? (a) 96 (b) 86 (c) 84 (d) 85
  35. 35.What comes next? 19, 30, 41, 52, 63, ? (a) 73 (b) 74 (c) 85 (d) 75
  36. 36.What comes next? 27, 39, 51, 63, 75, ? (a) 99 (b) 88 (c) 87 (d) 86
  37. 37.What comes next? 53, 45, 37, 29, 21, ? (a) 14 (b) 13 (c) 5 (d) 12
  38. 38.What comes next? 12, 16, 13, 17, 14, 18, ? (a) 21 (b) 14 (c) 22 (d) 15
  39. 39.What comes next? 26, 30, 34, 38, 42, ? (a) 45 (b) 50 (c) 46 (d) 47
  40. 40.What comes next? 8, 11, 15, 20, 26, ? (a) 34 (b) 32 (c) 35 (d) 33

Answer key

  1. 12
  2. 48
  3. 16
  4. 23
  5. 19
  6. 77
  7. 25
  8. 162
  9. 32
  10. 128
  11. 13
  12. 32
  13. 4
  14. 73
  15. 50
  16. 6
  17. 35
  18. 5
  19. 33
  20. 30
  21. 30
  22. 64
  23. 160
  24. 17
  25. 5
  26. 22
  27. 17
  28. 192
  29. 70
  30. 10
  31. 36
  32. 25
  33. 23
  34. 85
  35. 74
  36. 87
  37. 13
  38. 15
  39. 46
  40. 33

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