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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 155 · 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, 6, 11, 17, 24, ? (a) 33 (b) 31 (c) 34 (d) 32
  2. 2.What comes next? 13, 11, 9, 7, 5, ? (a) 4 (b) 2 (c) 3 (d) 1
  3. 3.What comes next? 39, 35, 31, 27, 23, ? (a) 18 (b) 15 (c) 19 (d) 20
  4. 4.What comes next? 18, 21, 24, 27, 30, ? (a) 36 (b) 33 (c) 34 (d) 32
  5. 5.What comes next? 36, 29, 22, 15, 8, ? (a) 3 (b) 4 (c) 1 (d) 2
  6. 6.What comes next? 12, 16, 20, 24, 28, ? (a) 32 (b) 36 (c) 33 (d) 31
  7. 7.What comes next? 27, 31, 35, 39, 43, ? (a) 48 (b) 51 (c) 47 (d) 46
  8. 8.What comes next? 21, 31, 41, 51, 61, ? (a) 81 (b) 70 (c) 72 (d) 71
  9. 9.What comes next? 15, 23, 21, 29, 27, 35, ? (a) 43 (b) 37 (c) 33 (d) 32
  10. 10.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 160 (c) 128 (d) 96
  11. 11.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 45 (c) 90 (d) 81
  12. 12.What comes next? 41, 36, 31, 26, 21, ? (a) 11 (b) 17 (c) 16 (d) 15
  13. 13.What comes next? 17, 21, 26, 32, 39, ? (a) 49 (b) 47 (c) 46 (d) 48
  14. 14.What comes next? 5, 6, 8, 11, 15, ? (a) 21 (b) 22 (c) 20 (d) 19
  15. 15.What comes next? 2, 9, 4, 11, 6, 13, ? (a) 20 (b) 18 (c) 7 (d) 8
  16. 16.What comes next? 2, 6, 4, 8, 6, 10, ? (a) 7 (b) 14 (c) 8 (d) 12
  17. 17.What comes next? 63, 54, 45, 36, 27, ? (a) 9 (b) 18 (c) 19 (d) 17
  18. 18.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 96 (c) 120 (d) 72
  19. 19.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 144 (c) 192 (d) 193
  20. 20.What comes next? 51, 46, 41, 36, 31, ? (a) 26 (b) 27 (c) 25 (d) 21
  21. 21.What comes next? 46, 38, 30, 22, 14, ? (a) 7 (b) 5 (c) 8 (d) 6
  22. 22.What comes next? 6, 7, 9, 12, 16, ? (a) 21 (b) 22 (c) 23 (d) 20
  23. 23.What comes next? 17, 22, 19, 24, 21, 26, ? (a) 31 (b) 23 (c) 29 (d) 22
  24. 24.What comes next? 22, 25, 28, 31, 34, ? (a) 37 (b) 40 (c) 36 (d) 38
  25. 25.What comes next? 7, 15, 23, 31, 39, ? (a) 46 (b) 47 (c) 55 (d) 48
  26. 26.What comes next? 17, 23, 22, 28, 27, 33, ? (a) 39 (b) 34 (c) 31 (d) 32
  27. 27.What comes next? 57, 48, 39, 30, 21, ? (a) 11 (b) 3 (c) 12 (d) 13
  28. 28.What comes next? 13, 21, 29, 37, 45, ? (a) 53 (b) 61 (c) 52 (d) 54
  29. 29.What comes next? 6, 11, 16, 21, 26, ? (a) 31 (b) 30 (c) 36 (d) 32
  30. 30.What comes next? 19, 24, 23, 28, 27, 32, ? (a) 30 (b) 31 (c) 37 (d) 33
  31. 31.What comes next? 4, 8, 7, 11, 10, 14, ? (a) 15 (b) 18 (c) 13 (d) 12
  32. 32.What comes next? 29, 25, 21, 17, 13, ? (a) 5 (b) 10 (c) 9 (d) 8
  33. 33.What comes next? 5, 13, 11, 19, 17, 25, ? (a) 27 (b) 22 (c) 33 (d) 23
  34. 34.What comes next? 21, 32, 43, 54, 65, ? (a) 76 (b) 77 (c) 87 (d) 75
  35. 35.What comes next? 5, 8, 11, 14, 17, ? (a) 21 (b) 19 (c) 20 (d) 23
  36. 36.What comes next? 11, 16, 21, 26, 31, ? (a) 36 (b) 35 (c) 37 (d) 41
  37. 37.What comes next? 4, 8, 13, 19, 26, ? (a) 33 (b) 35 (c) 34 (d) 36
  38. 38.What comes next? 30, 33, 36, 39, 42, ? (a) 46 (b) 44 (c) 45 (d) 48
  39. 39.What comes next? 4, 13, 10, 19, 16, 25, ? (a) 21 (b) 28 (c) 22 (d) 34
  40. 40.What comes next? 34, 30, 26, 22, 18, ? (a) 14 (b) 13 (c) 15 (d) 10

Answer key

  1. 32
  2. 3
  3. 19
  4. 33
  5. 1
  6. 32
  7. 47
  8. 71
  9. 33
  10. 128
  11. 81
  12. 16
  13. 47
  14. 20
  15. 8
  16. 8
  17. 18
  18. 96
  19. 192
  20. 26
  21. 6
  22. 21
  23. 23
  24. 37
  25. 47
  26. 32
  27. 12
  28. 53
  29. 31
  30. 31
  31. 13
  32. 9
  33. 23
  34. 76
  35. 20
  36. 36
  37. 34
  38. 45
  39. 22
  40. 14

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