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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 562 · 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? 9, 10, 12, 15, 19, ? (a) 25 (b) 24 (c) 23 (d) 26
  2. 2.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 81 (d) 72
  3. 3.What comes next? 5, 6, 8, 11, 15, ? (a) 19 (b) 22 (c) 20 (d) 21
  4. 4.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 40 (c) 32 (d) 33
  5. 5.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 180 (c) 144 (d) 90
  6. 6.What comes next? 19, 21, 23, 25, 27, ? (a) 31 (b) 28 (c) 29 (d) 30
  7. 7.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 270 (d) 243
  8. 8.What comes next? 49, 41, 33, 25, 17, ? (a) 8 (b) 9 (c) 10 (d) 1
  9. 9.What comes next? 16, 21, 26, 31, 36, ? (a) 46 (b) 41 (c) 42 (d) 40
  10. 10.What comes next? 20, 26, 24, 30, 28, 34, ? (a) 31 (b) 36 (c) 40 (d) 32
  11. 11.What comes next? 19, 23, 28, 34, 41, ? (a) 50 (b) 51 (c) 49 (d) 48
  12. 12.What comes next? 17, 22, 27, 32, 37, ? (a) 43 (b) 42 (c) 41 (d) 47
  13. 13.What comes next? 14, 23, 32, 41, 50, ? (a) 68 (b) 60 (c) 59 (d) 58
  14. 14.What comes next? 19, 20, 22, 25, 29, ? (a) 34 (b) 33 (c) 36 (d) 35
  15. 15.What comes next? 22, 30, 38, 46, 54, ? (a) 63 (b) 70 (c) 62 (d) 61
  16. 16.What comes next? 11, 15, 20, 26, 33, ? (a) 40 (b) 41 (c) 42 (d) 43
  17. 17.What comes next? 19, 22, 20, 23, 21, 24, ? (a) 27 (b) 21 (c) 22 (d) 26
  18. 18.What comes next? 3, 9, 8, 14, 13, 19, ? (a) 17 (b) 20 (c) 18 (d) 25
  19. 19.What comes next? 22, 19, 16, 13, 10, ? (a) 6 (b) 8 (c) 4 (d) 7
  20. 20.What comes next? 6, 9, 13, 18, 24, ? (a) 31 (b) 30 (c) 32 (d) 33
  21. 21.What comes next? 57, 49, 41, 33, 25, ? (a) 18 (b) 17 (c) 16 (d) 9
  22. 22.What comes next? 62, 55, 48, 41, 34, ? (a) 20 (b) 28 (c) 27 (d) 26
  23. 23.What comes next? 56, 48, 40, 32, 24, ? (a) 16 (b) 17 (c) 15 (d) 8
  24. 24.What comes next? 60, 54, 48, 42, 36, ? (a) 31 (b) 24 (c) 29 (d) 30
  25. 25.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 192 (c) 240 (d) 193
  26. 26.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 65 (c) 80 (d) 48
  27. 27.What comes next? 8, 12, 17, 23, 30, ? (a) 37 (b) 39 (c) 38 (d) 40
  28. 28.What comes next? 9, 17, 11, 19, 13, 21, ? (a) 27 (b) 14 (c) 15 (d) 29
  29. 29.What comes next? 20, 23, 26, 29, 32, ? (a) 35 (b) 36 (c) 38 (d) 34
  30. 30.What comes next? 3, 10, 9, 16, 15, 22, ? (a) 21 (b) 29 (c) 20 (d) 23
  31. 31.What comes next? 8, 14, 11, 17, 14, 20, ? (a) 17 (b) 23 (c) 16 (d) 26
  32. 32.What comes next? 3, 12, 9, 18, 15, 24, ? (a) 20 (b) 27 (c) 21 (d) 33
  33. 33.What comes next? 9, 13, 18, 24, 31, ? (a) 41 (b) 38 (c) 40 (d) 39
  34. 34.What comes next? 9, 12, 15, 18, 21, ? (a) 23 (b) 25 (c) 24 (d) 27
  35. 35.What comes next? 50, 46, 42, 38, 34, ? (a) 26 (b) 29 (c) 31 (d) 30
  36. 36.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 129 (c) 96 (d) 160
  37. 37.What comes next? 18, 27, 23, 32, 28, 37, ? (a) 41 (b) 46 (c) 32 (d) 33
  38. 38.What comes next? 45, 38, 31, 24, 17, ? (a) 9 (b) 11 (c) 10 (d) 3
  39. 39.What comes next? 51, 42, 33, 24, 15, ? (a) 5 (b) 7 (c) 8 (d) 6
  40. 40.What comes next? 16, 18, 21, 25, 30, ? (a) 35 (b) 37 (c) 38 (d) 36

Answer key

  1. 24
  2. 81
  3. 20
  4. 32
  5. 162
  6. 29
  7. 243
  8. 9
  9. 41
  10. 32
  11. 49
  12. 42
  13. 59
  14. 34
  15. 62
  16. 41
  17. 22
  18. 18
  19. 7
  20. 31
  21. 17
  22. 27
  23. 16
  24. 30
  25. 192
  26. 64
  27. 38
  28. 15
  29. 35
  30. 21
  31. 17
  32. 21
  33. 39
  34. 24
  35. 30
  36. 128
  37. 33
  38. 10
  39. 6
  40. 36

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