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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 661 · 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? 44, 39, 34, 29, 24, ? (a) 20 (b) 19 (c) 14 (d) 18
  2. 2.What comes next? 11, 14, 18, 23, 29, ? (a) 36 (b) 35 (c) 37 (d) 38
  3. 3.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 72 (c) 81 (d) 90
  4. 4.What comes next? 49, 40, 31, 22, 13, ? (a) 5 (b) 3 (c) 4 (d) 6
  5. 5.What comes next? 18, 25, 32, 39, 46, ? (a) 54 (b) 53 (c) 52 (d) 60
  6. 6.What comes next? 5, 6, 8, 11, 15, ? (a) 22 (b) 19 (c) 20 (d) 21
  7. 7.What comes next? 3, 7, 6, 10, 9, 13, ? (a) 14 (b) 17 (c) 11 (d) 12
  8. 8.What comes next? 52, 46, 40, 34, 28, ? (a) 21 (b) 16 (c) 22 (d) 23
  9. 9.What comes next? 3, 6, 4, 7, 5, 8, ? (a) 6 (b) 11 (c) 10 (d) 5
  10. 10.What comes next? 19, 25, 31, 37, 43, ? (a) 48 (b) 49 (c) 50 (d) 55
  11. 11.What comes next? 68, 60, 52, 44, 36, ? (a) 27 (b) 29 (c) 20 (d) 28
  12. 12.What comes next? 30, 33, 36, 39, 42, ? (a) 48 (b) 45 (c) 46 (d) 44
  13. 13.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 97 (c) 72 (d) 120
  14. 14.What comes next? 28, 24, 20, 16, 12, ? (a) 4 (b) 9 (c) 7 (d) 8
  15. 15.What comes next? 13, 22, 31, 40, 49, ? (a) 67 (b) 57 (c) 59 (d) 58
  16. 16.What comes next? 9, 20, 31, 42, 53, ? (a) 64 (b) 63 (c) 65 (d) 75
  17. 17.What comes next? 13, 15, 18, 22, 27, ? (a) 32 (b) 34 (c) 33 (d) 35
  18. 18.What comes next? 53, 44, 35, 26, 17, ? (a) 9 (b) 7 (c) 10 (d) 8
  19. 19.What comes next? 51, 44, 37, 30, 23, ? (a) 16 (b) 17 (c) 9 (d) 15
  20. 20.What comes next? 52, 44, 36, 28, 20, ? (a) 4 (b) 13 (c) 12 (d) 11
  21. 21.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 243 (d) 270
  22. 22.What comes next? 9, 16, 23, 30, 37, ? (a) 45 (b) 43 (c) 44 (d) 51
  23. 23.What comes next? 7, 11, 9, 13, 11, 15, ? (a) 13 (b) 12 (c) 17 (d) 19
  24. 24.What comes next? 20, 22, 24, 26, 28, ? (a) 32 (b) 31 (c) 29 (d) 30
  25. 25.What comes next? 14, 20, 18, 24, 22, 28, ? (a) 34 (b) 25 (c) 30 (d) 26
  26. 26.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 32 (d) 40
  27. 27.What comes next? 12, 16, 21, 27, 34, ? (a) 43 (b) 42 (c) 44 (d) 41
  28. 28.What comes next? 16, 13, 10, 7, 4, ? (a) 2 (b) 3 (c) 1 (d) 4
  29. 29.What comes next? 12, 16, 20, 24, 28, ? (a) 32 (b) 31 (c) 33 (d) 36
  30. 30.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 129 (c) 128 (d) 160
  31. 31.What comes next? 21, 33, 45, 57, 69, ? (a) 81 (b) 93 (c) 80 (d) 82
  32. 32.What comes next? 14, 17, 20, 23, 26, ? (a) 30 (b) 28 (c) 32 (d) 29
  33. 33.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 48 (c) 64 (d) 80
  34. 34.What comes next? 10, 14, 18, 22, 26, ? (a) 29 (b) 30 (c) 34 (d) 31
  35. 35.What comes next? 52, 47, 42, 37, 32, ? (a) 27 (b) 28 (c) 26 (d) 22
  36. 36.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 193 (c) 192 (d) 144
  37. 37.What comes next? 28, 25, 22, 19, 16, ? (a) 13 (b) 10 (c) 14 (d) 12
  38. 38.What comes next? 25, 27, 29, 31, 33, ? (a) 36 (b) 34 (c) 37 (d) 35
  39. 39.What comes next? 23, 28, 33, 38, 43, ? (a) 48 (b) 53 (c) 49 (d) 47
  40. 40.What comes next? 25, 22, 19, 16, 13, ? (a) 7 (b) 9 (c) 10 (d) 11

Answer key

  1. 19
  2. 36
  3. 81
  4. 4
  5. 53
  6. 20
  7. 12
  8. 22
  9. 6
  10. 49
  11. 28
  12. 45
  13. 96
  14. 8
  15. 58
  16. 64
  17. 33
  18. 8
  19. 16
  20. 12
  21. 243
  22. 44
  23. 13
  24. 30
  25. 26
  26. 32
  27. 42
  28. 1
  29. 32
  30. 128
  31. 81
  32. 29
  33. 64
  34. 30
  35. 27
  36. 192
  37. 13
  38. 35
  39. 48
  40. 10

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