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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 659 · 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? 45, 42, 39, 36, 33, ? (a) 30 (b) 29 (c) 27 (d) 31
  2. 2.What comes next? 18, 22, 27, 33, 40, ? (a) 48 (b) 50 (c) 47 (d) 49
  3. 3.What comes next? 18, 22, 21, 25, 24, 28, ? (a) 29 (b) 32 (c) 27 (d) 26
  4. 4.What comes next? 28, 34, 40, 46, 52, ? (a) 58 (b) 59 (c) 64 (d) 57
  5. 5.What comes next? 42, 34, 26, 18, 10, ? (a) 4 (b) 1 (c) 3 (d) 2
  6. 6.What comes next? 9, 13, 17, 21, 25, ? (a) 28 (b) 30 (c) 29 (d) 33
  7. 7.What comes next? 6, 9, 13, 18, 24, ? (a) 32 (b) 33 (c) 31 (d) 30
  8. 8.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 193 (c) 144 (d) 192
  9. 9.What comes next? 28, 26, 24, 22, 20, ? (a) 18 (b) 17 (c) 16 (d) 19
  10. 10.What comes next? 12, 21, 13, 22, 14, 23, ? (a) 15 (b) 32 (c) 31 (d) 14
  11. 11.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 160 (c) 128 (d) 129
  12. 12.What comes next? 8, 10, 13, 17, 22, ? (a) 29 (b) 27 (c) 28 (d) 30
  13. 13.What comes next? 4, 7, 11, 16, 22, ? (a) 28 (b) 30 (c) 31 (d) 29
  14. 14.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 81 (c) 90 (d) 45
  15. 15.What comes next? 5, 8, 6, 9, 7, 10, ? (a) 7 (b) 13 (c) 12 (d) 8
  16. 16.What comes next? 38, 32, 26, 20, 14, ? (a) 9 (b) 7 (c) 2 (d) 8
  17. 17.What comes next? 10, 18, 26, 34, 42, ? (a) 49 (b) 50 (c) 58 (d) 51
  18. 18.What comes next? 70, 61, 52, 43, 34, ? (a) 16 (b) 24 (c) 26 (d) 25
  19. 19.What comes next? 4, 16, 28, 40, 52, ? (a) 76 (b) 65 (c) 64 (d) 63
  20. 20.What comes next? 14, 15, 17, 20, 24, ? (a) 30 (b) 31 (c) 28 (d) 29
  21. 21.What comes next? 2, 7, 3, 8, 4, 9, ? (a) 4 (b) 5 (c) 14 (d) 13
  22. 22.What comes next? 29, 32, 35, 38, 41, ? (a) 45 (b) 44 (c) 47 (d) 43
  23. 23.What comes next? 16, 24, 32, 40, 48, ? (a) 64 (b) 55 (c) 56 (d) 57
  24. 24.What comes next? 13, 16, 20, 25, 31, ? (a) 38 (b) 37 (c) 39 (d) 40
  25. 25.What comes next? 16, 20, 25, 31, 38, ? (a) 45 (b) 48 (c) 47 (d) 46
  26. 26.What comes next? 27, 24, 21, 18, 15, ? (a) 13 (b) 12 (c) 9 (d) 11
  27. 27.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 90 (d) 162
  28. 28.What comes next? 9, 21, 33, 45, 57, ? (a) 70 (b) 68 (c) 81 (d) 69
  29. 29.What comes next? 29, 24, 19, 14, 9, ? (a) 3 (b) 6 (c) 5 (d) 4
  30. 30.What comes next? 2, 4, 7, 11, 16, ? (a) 23 (b) 24 (c) 21 (d) 22
  31. 31.What comes next? 3, 6, 10, 15, 21, ? (a) 27 (b) 30 (c) 28 (d) 29
  32. 32.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 200 (c) 161 (d) 120
  33. 33.What comes next? 16, 20, 17, 21, 18, 22, ? (a) 25 (b) 19 (c) 18 (d) 26
  34. 34.What comes next? 44, 37, 30, 23, 16, ? (a) 9 (b) 8 (c) 10 (d) 2
  35. 35.What comes next? 1, 4, 8, 13, 19, ? (a) 25 (b) 27 (c) 26 (d) 28
  36. 36.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 270 (c) 135 (d) 216
  37. 37.What comes next? 18, 22, 19, 23, 20, 24, ? (a) 20 (b) 21 (c) 28 (d) 27
  38. 38.What comes next? 17, 20, 18, 21, 19, 22, ? (a) 19 (b) 25 (c) 20 (d) 24
  39. 39.What comes next? 54, 49, 44, 39, 34, ? (a) 29 (b) 28 (c) 30 (d) 24
  40. 40.What comes next? 5, 6, 8, 11, 15, ? (a) 20 (b) 21 (c) 19 (d) 22

Answer key

  1. 30
  2. 48
  3. 27
  4. 58
  5. 2
  6. 29
  7. 31
  8. 192
  9. 18
  10. 15
  11. 128
  12. 28
  13. 29
  14. 81
  15. 8
  16. 8
  17. 50
  18. 25
  19. 64
  20. 29
  21. 5
  22. 44
  23. 56
  24. 38
  25. 46
  26. 12
  27. 162
  28. 69
  29. 4
  30. 22
  31. 28
  32. 160
  33. 19
  34. 9
  35. 26
  36. 243
  37. 21
  38. 20
  39. 29
  40. 20

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