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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 386 · 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? 39, 32, 25, 18, 11, ? (a) 6 (b) 3 (c) 4 (d) 5
  2. 2.What comes next? 28, 31, 34, 37, 40, ? (a) 42 (b) 44 (c) 43 (d) 46
  3. 3.What comes next? 33, 27, 21, 15, 9, ? (a) 2 (b) 4 (c) 5 (d) 3
  4. 4.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 135 (c) 216 (d) 243
  5. 5.What comes next? 9, 12, 15, 18, 21, ? (a) 27 (b) 24 (c) 23 (d) 25
  6. 6.What comes next? 1, 8, 4, 11, 7, 14, ? (a) 18 (b) 21 (c) 10 (d) 9
  7. 7.What comes next? 19, 23, 22, 26, 25, 29, ? (a) 28 (b) 30 (c) 33 (d) 27
  8. 8.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 193 (c) 240 (d) 192
  9. 9.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 160 (c) 129 (d) 128
  10. 10.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 161 (c) 160 (d) 120
  11. 11.What comes next? 14, 18, 23, 29, 36, ? (a) 46 (b) 45 (c) 43 (d) 44
  12. 12.What comes next? 17, 18, 20, 23, 27, ? (a) 33 (b) 34 (c) 31 (d) 32
  13. 13.What comes next? 28, 24, 20, 16, 12, ? (a) 4 (b) 7 (c) 9 (d) 8
  14. 14.What comes next? 9, 12, 11, 14, 13, 16, ? (a) 17 (b) 14 (c) 15 (d) 19
  15. 15.What comes next? 19, 23, 20, 24, 21, 25, ? (a) 29 (b) 21 (c) 28 (d) 22
  16. 16.What comes next? 32, 29, 26, 23, 20, ? (a) 14 (b) 17 (c) 16 (d) 18
  17. 17.What comes next? 9, 11, 14, 18, 23, ? (a) 29 (b) 31 (c) 30 (d) 28
  18. 18.What comes next? 9, 13, 12, 16, 15, 19, ? (a) 23 (b) 18 (c) 20 (d) 17
  19. 19.What comes next? 6, 8, 11, 15, 20, ? (a) 28 (b) 26 (c) 25 (d) 27
  20. 20.What comes next? 1, 9, 4, 12, 7, 15, ? (a) 10 (b) 9 (c) 23 (d) 20
  21. 21.What comes next? 24, 28, 32, 36, 40, ? (a) 43 (b) 48 (c) 45 (d) 44
  22. 22.What comes next? 57, 51, 45, 39, 33, ? (a) 26 (b) 28 (c) 27 (d) 21
  23. 23.What comes next? 15, 16, 18, 21, 25, ? (a) 32 (b) 30 (c) 29 (d) 31
  24. 24.What comes next? 3, 6, 10, 15, 21, ? (a) 30 (b) 29 (c) 28 (d) 27
  25. 25.What comes next? 7, 15, 10, 18, 13, 21, ? (a) 15 (b) 29 (c) 16 (d) 26
  26. 26.What comes next? 6, 7, 9, 12, 16, ? (a) 23 (b) 20 (c) 21 (d) 22
  27. 27.What comes next? 13, 22, 17, 26, 21, 30, ? (a) 24 (b) 39 (c) 35 (d) 25
  28. 28.What comes next? 26, 34, 42, 50, 58, ? (a) 65 (b) 74 (c) 66 (d) 67
  29. 29.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 162 (d) 144
  30. 30.What comes next? 17, 20, 23, 26, 29, ? (a) 33 (b) 31 (c) 35 (d) 32
  31. 31.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 81 (c) 45 (d) 72
  32. 32.What comes next? 42, 35, 28, 21, 14, ? (a) 7 (b) 8 (c) 9 (d) 6
  33. 33.What comes next? 3, 12, 21, 30, 39, ? (a) 57 (b) 49 (c) 48 (d) 47
  34. 34.What comes next? 2, 6, 10, 14, 18, ? (a) 26 (b) 23 (c) 22 (d) 21
  35. 35.What comes next? 16, 17, 19, 22, 26, ? (a) 33 (b) 31 (c) 30 (d) 32
  36. 36.What comes next? 9, 12, 10, 13, 11, 14, ? (a) 17 (b) 12 (c) 16 (d) 11
  37. 37.What comes next? 20, 26, 32, 38, 44, ? (a) 51 (b) 56 (c) 49 (d) 50
  38. 38.What comes next? 21, 25, 29, 33, 37, ? (a) 42 (b) 41 (c) 40 (d) 45
  39. 39.What comes next? 20, 21, 23, 26, 30, ? (a) 34 (b) 35 (c) 37 (d) 36
  40. 40.What comes next? 2, 11, 6, 15, 10, 19, ? (a) 14 (b) 13 (c) 24 (d) 28

Answer key

  1. 4
  2. 43
  3. 3
  4. 243
  5. 24
  6. 10
  7. 28
  8. 192
  9. 128
  10. 160
  11. 44
  12. 32
  13. 8
  14. 15
  15. 22
  16. 17
  17. 29
  18. 18
  19. 26
  20. 10
  21. 44
  22. 27
  23. 30
  24. 28
  25. 16
  26. 21
  27. 25
  28. 66
  29. 162
  30. 32
  31. 81
  32. 7
  33. 48
  34. 22
  35. 31
  36. 12
  37. 50
  38. 41
  39. 35
  40. 14

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