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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 444 · 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? 2, 5, 9, 14, 20, ? (a) 28 (b) 26 (c) 27 (d) 29
  2. 2.What comes next? 10, 15, 20, 25, 30, ? (a) 36 (b) 34 (c) 35 (d) 40
  3. 3.What comes next? 10, 12, 15, 19, 24, ? (a) 32 (b) 31 (c) 30 (d) 29
  4. 4.What comes next? 14, 21, 19, 26, 24, 31, ? (a) 33 (b) 38 (c) 29 (d) 28
  5. 5.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 144 (c) 192 (d) 193
  6. 6.What comes next? 12, 20, 28, 36, 44, ? (a) 51 (b) 52 (c) 60 (d) 53
  7. 7.What comes next? 64, 55, 46, 37, 28, ? (a) 10 (b) 20 (c) 18 (d) 19
  8. 8.What comes next? 3, 9, 15, 21, 27, ? (a) 32 (b) 33 (c) 39 (d) 34
  9. 9.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 243 (c) 270 (d) 135
  10. 10.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 160 (c) 120 (d) 161
  11. 11.What comes next? 34, 29, 24, 19, 14, ? (a) 8 (b) 9 (c) 10 (d) 4
  12. 12.What comes next? 12, 14, 16, 18, 20, ? (a) 21 (b) 24 (c) 23 (d) 22
  13. 13.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 96 (c) 97 (d) 72
  14. 14.What comes next? 7, 17, 27, 37, 47, ? (a) 56 (b) 67 (c) 57 (d) 58
  15. 15.What comes next? 5, 11, 17, 23, 29, ? (a) 41 (b) 36 (c) 35 (d) 34
  16. 16.What comes next? 7, 15, 23, 31, 39, ? (a) 55 (b) 46 (c) 48 (d) 47
  17. 17.What comes next? 8, 17, 15, 24, 22, 31, ? (a) 28 (b) 40 (c) 29 (d) 33
  18. 18.What comes next? 44, 37, 30, 23, 16, ? (a) 9 (b) 2 (c) 8 (d) 10
  19. 19.What comes next? 9, 13, 17, 21, 25, ? (a) 33 (b) 28 (c) 30 (d) 29
  20. 20.What comes next? 16, 14, 12, 10, 8, ? (a) 7 (b) 5 (c) 6 (d) 4
  21. 21.What comes next? 54, 48, 42, 36, 30, ? (a) 24 (b) 23 (c) 18 (d) 25
  22. 22.What comes next? 41, 34, 27, 20, 13, ? (a) 5 (b) 7 (c) 8 (d) 6
  23. 23.What comes next? 60, 51, 42, 33, 24, ? (a) 14 (b) 16 (c) 15 (d) 6
  24. 24.What comes next? 7, 11, 15, 19, 23, ? (a) 28 (b) 31 (c) 26 (d) 27
  25. 25.What comes next? 6, 10, 14, 18, 22, ? (a) 27 (b) 26 (c) 25 (d) 30
  26. 26.What comes next? 12, 24, 36, 48, 60, ? (a) 73 (b) 71 (c) 72 (d) 84
  27. 27.What comes next? 19, 24, 21, 26, 23, 28, ? (a) 24 (b) 31 (c) 25 (d) 33
  28. 28.What comes next? 21, 18, 15, 12, 9, ? (a) 7 (b) 3 (c) 5 (d) 6
  29. 29.What comes next? 52, 46, 40, 34, 28, ? (a) 21 (b) 22 (c) 16 (d) 23
  30. 30.What comes next? 28, 24, 20, 16, 12, ? (a) 4 (b) 9 (c) 7 (d) 8
  31. 31.What comes next? 6, 9, 8, 11, 10, 13, ? (a) 12 (b) 14 (c) 16 (d) 11
  32. 32.What comes next? 22, 20, 18, 16, 14, ? (a) 11 (b) 12 (c) 13 (d) 10
  33. 33.What comes next? 17, 24, 19, 26, 21, 28, ? (a) 33 (b) 23 (c) 22 (d) 35
  34. 34.What comes next? 22, 28, 34, 40, 46, ? (a) 53 (b) 52 (c) 58 (d) 51
  35. 35.What comes next? 32, 28, 24, 20, 16, ? (a) 11 (b) 13 (c) 12 (d) 8
  36. 36.What comes next? 3, 7, 12, 18, 25, ? (a) 35 (b) 33 (c) 32 (d) 34
  37. 37.What comes next? 24, 32, 40, 48, 56, ? (a) 63 (b) 64 (c) 65 (d) 72
  38. 38.What comes next? 7, 9, 12, 16, 21, ? (a) 27 (b) 29 (c) 28 (d) 26
  39. 39.What comes next? 17, 20, 23, 26, 29, ? (a) 32 (b) 33 (c) 35 (d) 31
  40. 40.What comes next? 20, 17, 14, 11, 8, ? (a) 2 (b) 6 (c) 4 (d) 5

Answer key

  1. 27
  2. 35
  3. 30
  4. 29
  5. 192
  6. 52
  7. 19
  8. 33
  9. 243
  10. 160
  11. 9
  12. 22
  13. 96
  14. 57
  15. 35
  16. 47
  17. 29
  18. 9
  19. 29
  20. 6
  21. 24
  22. 6
  23. 15
  24. 27
  25. 26
  26. 72
  27. 25
  28. 6
  29. 22
  30. 8
  31. 12
  32. 12
  33. 23
  34. 52
  35. 12
  36. 33
  37. 64
  38. 27
  39. 32
  40. 5

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