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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 664 · 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, 15, 12, 21, 18, 27, ? (a) 30 (b) 36 (c) 24 (d) 23
  2. 2.What comes next? 19, 21, 24, 28, 33, ? (a) 41 (b) 39 (c) 38 (d) 40
  3. 3.What comes next? 17, 20, 24, 29, 35, ? (a) 41 (b) 44 (c) 43 (d) 42
  4. 4.What comes next? 34, 28, 22, 16, 10, ? (a) 6 (b) 4 (c) 5 (d) 3
  5. 5.What comes next? 25, 35, 45, 55, 65, ? (a) 76 (b) 74 (c) 85 (d) 75
  6. 6.What comes next? 5, 9, 14, 20, 27, ? (a) 34 (b) 36 (c) 35 (d) 37
  7. 7.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 135 (c) 243 (d) 216
  8. 8.What comes next? 17, 26, 35, 44, 53, ? (a) 61 (b) 71 (c) 63 (d) 62
  9. 9.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 240 (c) 193 (d) 144
  10. 10.What comes next? 16, 20, 24, 28, 32, ? (a) 36 (b) 40 (c) 37 (d) 35
  11. 11.What comes next? 16, 17, 19, 22, 26, ? (a) 32 (b) 33 (c) 30 (d) 31
  12. 12.What comes next? 14, 18, 23, 29, 36, ? (a) 45 (b) 46 (c) 44 (d) 43
  13. 13.What comes next? 16, 25, 19, 28, 22, 31, ? (a) 25 (b) 37 (c) 40 (d) 24
  14. 14.What comes next? 12, 14, 16, 18, 20, ? (a) 24 (b) 23 (c) 21 (d) 22
  15. 15.What comes next? 32, 27, 22, 17, 12, ? (a) 2 (b) 8 (c) 7 (d) 6
  16. 16.What comes next? 60, 54, 48, 42, 36, ? (a) 30 (b) 31 (c) 24 (d) 29
  17. 17.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 90 (c) 45 (d) 72
  18. 18.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 48 (c) 64 (d) 80
  19. 19.What comes next? 2, 7, 5, 10, 8, 13, ? (a) 11 (b) 15 (c) 18 (d) 10
  20. 20.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 32 (d) 24
  21. 21.What comes next? 37, 34, 31, 28, 25, ? (a) 21 (b) 23 (c) 19 (d) 22
  22. 22.What comes next? 12, 19, 26, 33, 40, ? (a) 48 (b) 54 (c) 47 (d) 46
  23. 23.What comes next? 7, 9, 12, 16, 21, ? (a) 28 (b) 29 (c) 27 (d) 26
  24. 24.What comes next? 19, 27, 35, 43, 51, ? (a) 67 (b) 60 (c) 58 (d) 59
  25. 25.What comes next? 2, 3, 5, 8, 12, ? (a) 18 (b) 16 (c) 19 (d) 17
  26. 26.What comes next? 4, 7, 10, 13, 16, ? (a) 20 (b) 19 (c) 22 (d) 18
  27. 27.What comes next? 49, 43, 37, 31, 25, ? (a) 18 (b) 13 (c) 19 (d) 20
  28. 28.What comes next? 8, 17, 14, 23, 20, 29, ? (a) 38 (b) 32 (c) 26 (d) 25
  29. 29.What comes next? 26, 31, 36, 41, 46, ? (a) 50 (b) 51 (c) 56 (d) 52
  30. 30.What comes next? 16, 13, 10, 7, 4, ? (a) 3 (b) 4 (c) 2 (d) 1
  31. 31.What comes next? 40, 34, 28, 22, 16, ? (a) 10 (b) 4 (c) 11 (d) 9
  32. 32.What comes next? 8, 14, 9, 15, 10, 16, ? (a) 22 (b) 21 (c) 11 (d) 10
  33. 33.What comes next? 58, 49, 40, 31, 22, ? (a) 4 (b) 13 (c) 12 (d) 14
  34. 34.What comes next? 4, 8, 13, 19, 26, ? (a) 34 (b) 33 (c) 36 (d) 35
  35. 35.What comes next? 1, 5, 10, 16, 23, ? (a) 32 (b) 33 (c) 30 (d) 31
  36. 36.What comes next? 12, 13, 15, 18, 22, ? (a) 26 (b) 29 (c) 27 (d) 28
  37. 37.What comes next? 6, 9, 13, 18, 24, ? (a) 33 (b) 32 (c) 31 (d) 30
  38. 38.What comes next? 7, 8, 10, 13, 17, ? (a) 22 (b) 23 (c) 24 (d) 21
  39. 39.What comes next? 46, 41, 36, 31, 26, ? (a) 20 (b) 22 (c) 21 (d) 16
  40. 40.What comes next? 24, 28, 32, 36, 40, ? (a) 43 (b) 44 (c) 48 (d) 45

Answer key

  1. 24
  2. 39
  3. 42
  4. 4
  5. 75
  6. 35
  7. 243
  8. 62
  9. 192
  10. 36
  11. 31
  12. 44
  13. 25
  14. 22
  15. 7
  16. 30
  17. 81
  18. 64
  19. 11
  20. 32
  21. 22
  22. 47
  23. 27
  24. 59
  25. 17
  26. 19
  27. 19
  28. 26
  29. 51
  30. 1
  31. 10
  32. 11
  33. 13
  34. 34
  35. 31
  36. 27
  37. 31
  38. 22
  39. 21
  40. 44

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