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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 848 · 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? 21, 29, 37, 45, 53, ? (a) 61 (b) 69 (c) 62 (d) 60
  2. 2.What comes next? 8, 17, 12, 21, 16, 25, ? (a) 34 (b) 19 (c) 30 (d) 20
  3. 3.What comes next? 6, 9, 7, 10, 8, 11, ? (a) 14 (b) 8 (c) 13 (d) 9
  4. 4.What comes next? 49, 40, 31, 22, 13, ? (a) 6 (b) 4 (c) 5 (d) 3
  5. 5.What comes next? 15, 17, 20, 24, 29, ? (a) 34 (b) 37 (c) 36 (d) 35
  6. 6.What comes next? 2, 8, 3, 9, 4, 10, ? (a) 4 (b) 15 (c) 5 (d) 16
  7. 7.What comes next? 29, 38, 47, 56, 65, ? (a) 74 (b) 83 (c) 75 (d) 73
  8. 8.What comes next? 15, 22, 20, 27, 25, 32, ? (a) 39 (b) 30 (c) 29 (d) 34
  9. 9.What comes next? 26, 24, 22, 20, 18, ? (a) 15 (b) 17 (c) 16 (d) 14
  10. 10.What comes next? 20, 28, 24, 32, 28, 36, ? (a) 40 (b) 32 (c) 31 (d) 44
  11. 11.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 243 (c) 270 (d) 216
  12. 12.What comes next? 48, 44, 40, 36, 32, ? (a) 27 (b) 28 (c) 29 (d) 24
  13. 13.What comes next? 60, 54, 48, 42, 36, ? (a) 30 (b) 24 (c) 31 (d) 29
  14. 14.What comes next? 26, 23, 20, 17, 14, ? (a) 8 (b) 12 (c) 11 (d) 10
  15. 15.What comes next? 10, 19, 28, 37, 46, ? (a) 56 (b) 64 (c) 54 (d) 55
  16. 16.What comes next? 18, 27, 36, 45, 54, ? (a) 64 (b) 63 (c) 62 (d) 72
  17. 17.What comes next? 3, 7, 11, 15, 19, ? (a) 24 (b) 27 (c) 23 (d) 22
  18. 18.What comes next? 2, 6, 4, 8, 6, 10, ? (a) 7 (b) 8 (c) 12 (d) 14
  19. 19.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 80 (c) 65 (d) 64
  20. 20.What comes next? 10, 12, 14, 16, 18, ? (a) 20 (b) 19 (c) 22 (d) 21
  21. 21.What comes next? 18, 26, 24, 32, 30, 38, ? (a) 40 (b) 36 (c) 35 (d) 46
  22. 22.What comes next? 16, 23, 22, 29, 28, 35, ? (a) 34 (b) 36 (c) 33 (d) 42
  23. 23.What comes next? 8, 15, 22, 29, 36, ? (a) 50 (b) 42 (c) 43 (d) 44
  24. 24.What comes next? 8, 11, 15, 20, 26, ? (a) 32 (b) 33 (c) 35 (d) 34
  25. 25.What comes next? 52, 47, 42, 37, 32, ? (a) 27 (b) 22 (c) 26 (d) 28
  26. 26.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 72 (c) 120 (d) 96
  27. 27.What comes next? 30, 32, 34, 36, 38, ? (a) 39 (b) 42 (c) 40 (d) 41
  28. 28.What comes next? 18, 15, 12, 9, 6, ? (a) 2 (b) 3 (c) 4 (d) 5
  29. 29.What comes next? 48, 39, 30, 21, 12, ? (a) 4 (b) 3 (c) 2 (d) 5
  30. 30.What comes next? 39, 34, 29, 24, 19, ? (a) 14 (b) 13 (c) 9 (d) 15
  31. 31.What comes next? 16, 19, 23, 28, 34, ? (a) 41 (b) 42 (c) 43 (d) 40
  32. 32.What comes next? 5, 8, 12, 17, 23, ? (a) 31 (b) 29 (c) 32 (d) 30
  33. 33.What comes next? 18, 24, 20, 26, 22, 28, ? (a) 34 (b) 32 (c) 23 (d) 24
  34. 34.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 192 (c) 144 (d) 240
  35. 35.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 32 (c) 33 (d) 24
  36. 36.What comes next? 18, 19, 21, 24, 28, ? (a) 35 (b) 34 (c) 32 (d) 33
  37. 37.What comes next? 13, 17, 22, 28, 35, ? (a) 45 (b) 42 (c) 44 (d) 43
  38. 38.What comes next? 32, 26, 20, 14, 8, ? (a) 2 (b) 1 (c) 4 (d) 3
  39. 39.What comes next? 51, 46, 41, 36, 31, ? (a) 26 (b) 21 (c) 25 (d) 27
  40. 40.What comes next? 49, 41, 33, 25, 17, ? (a) 8 (b) 1 (c) 9 (d) 10

Answer key

  1. 61
  2. 20
  3. 9
  4. 4
  5. 35
  6. 5
  7. 74
  8. 30
  9. 16
  10. 32
  11. 243
  12. 28
  13. 30
  14. 11
  15. 55
  16. 63
  17. 23
  18. 8
  19. 64
  20. 20
  21. 36
  22. 34
  23. 43
  24. 33
  25. 27
  26. 96
  27. 40
  28. 3
  29. 3
  30. 14
  31. 41
  32. 30
  33. 24
  34. 192
  35. 32
  36. 33
  37. 43
  38. 2
  39. 26
  40. 9

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