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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 88 · 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? 46, 37, 28, 19, 10, ? (a) 1 (b) 2 (c) 3 (d) 4
  2. 2.What comes next? 42, 36, 30, 24, 18, ? (a) 6 (b) 11 (c) 12 (d) 13
  3. 3.What comes next? 7, 19, 31, 43, 55, ? (a) 68 (b) 66 (c) 67 (d) 79
  4. 4.What comes next? 5, 11, 7, 13, 9, 15, ? (a) 10 (b) 11 (c) 19 (d) 21
  5. 5.What comes next? 9, 16, 15, 22, 21, 28, ? (a) 29 (b) 27 (c) 26 (d) 35
  6. 6.What comes next? 5, 6, 8, 11, 15, ? (a) 21 (b) 22 (c) 20 (d) 19
  7. 7.What comes next? 2, 11, 20, 29, 38, ? (a) 48 (b) 47 (c) 56 (d) 46
  8. 8.What comes next? 5, 13, 7, 15, 9, 17, ? (a) 11 (b) 23 (c) 25 (d) 10
  9. 9.What comes next? 30, 25, 20, 15, 10, ? (a) 5 (b) 6 (c) 7 (d) 4
  10. 10.What comes next? 1, 3, 6, 10, 15, ? (a) 21 (b) 23 (c) 20 (d) 22
  11. 11.What comes next? 26, 34, 42, 50, 58, ? (a) 65 (b) 66 (c) 74 (d) 67
  12. 12.What comes next? 18, 20, 23, 27, 32, ? (a) 38 (b) 40 (c) 37 (d) 39
  13. 13.What comes next? 22, 31, 40, 49, 58, ? (a) 68 (b) 67 (c) 76 (d) 66
  14. 14.What comes next? 25, 32, 39, 46, 53, ? (a) 59 (b) 67 (c) 60 (d) 61
  15. 15.What comes next? 20, 18, 16, 14, 12, ? (a) 9 (b) 8 (c) 11 (d) 10
  16. 16.What comes next? 22, 24, 26, 28, 30, ? (a) 33 (b) 31 (c) 34 (d) 32
  17. 17.What comes next? 9, 15, 11, 17, 13, 19, ? (a) 14 (b) 23 (c) 25 (d) 15
  18. 18.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 192 (c) 144 (d) 240
  19. 19.What comes next? 4, 16, 28, 40, 52, ? (a) 76 (b) 65 (c) 64 (d) 63
  20. 20.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 270 (c) 216 (d) 135
  21. 21.What comes next? 40, 37, 34, 31, 28, ? (a) 22 (b) 25 (c) 24 (d) 26
  22. 22.What comes next? 16, 19, 23, 28, 34, ? (a) 40 (b) 41 (c) 42 (d) 43
  23. 23.What comes next? 51, 45, 39, 33, 27, ? (a) 15 (b) 22 (c) 21 (d) 20
  24. 24.What comes next? 9, 13, 11, 15, 13, 17, ? (a) 19 (b) 15 (c) 21 (d) 14
  25. 25.What comes next? 16, 19, 22, 25, 28, ? (a) 31 (b) 30 (c) 32 (d) 34
  26. 26.What comes next? 15, 24, 22, 31, 29, 38, ? (a) 36 (b) 40 (c) 35 (d) 47
  27. 27.What comes next? 49, 41, 33, 25, 17, ? (a) 1 (b) 10 (c) 9 (d) 8
  28. 28.What comes next? 9, 14, 19, 24, 29, ? (a) 33 (b) 39 (c) 34 (d) 35
  29. 29.What comes next? 15, 21, 27, 33, 39, ? (a) 46 (b) 45 (c) 44 (d) 51
  30. 30.What comes next? 12, 17, 22, 27, 32, ? (a) 38 (b) 42 (c) 36 (d) 37
  31. 31.What comes next? 22, 18, 14, 10, 6, ? (a) 1 (b) 2 (c) 3 (d) 4
  32. 32.What comes next? 4, 10, 8, 14, 12, 18, ? (a) 24 (b) 16 (c) 15 (d) 20
  33. 33.What comes next? 30, 37, 44, 51, 58, ? (a) 64 (b) 66 (c) 65 (d) 72
  34. 34.What comes next? 25, 21, 17, 13, 9, ? (a) 5 (b) 4 (c) 6 (d) 1
  35. 35.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 162 (c) 90 (d) 144
  36. 36.What comes next? 16, 17, 19, 22, 26, ? (a) 31 (b) 32 (c) 33 (d) 30
  37. 37.What comes next? 50, 41, 32, 23, 14, ? (a) 7 (b) 4 (c) 5 (d) 6
  38. 38.What comes next? 3, 6, 4, 7, 5, 8, ? (a) 6 (b) 10 (c) 5 (d) 11
  39. 39.What comes next? 11, 20, 15, 24, 19, 28, ? (a) 22 (b) 33 (c) 37 (d) 23
  40. 40.What comes next? 17, 18, 20, 23, 27, ? (a) 34 (b) 31 (c) 33 (d) 32

Answer key

  1. 1
  2. 12
  3. 67
  4. 11
  5. 27
  6. 20
  7. 47
  8. 11
  9. 5
  10. 21
  11. 66
  12. 38
  13. 67
  14. 60
  15. 10
  16. 32
  17. 15
  18. 192
  19. 64
  20. 243
  21. 25
  22. 41
  23. 21
  24. 15
  25. 31
  26. 36
  27. 9
  28. 34
  29. 45
  30. 37
  31. 2
  32. 16
  33. 65
  34. 5
  35. 162
  36. 31
  37. 5
  38. 6
  39. 23
  40. 32

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