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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 152 · 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? 15, 23, 31, 39, 47, ? (a) 54 (b) 55 (c) 56 (d) 63
  2. 2.What comes next? 26, 22, 18, 14, 10, ? (a) 5 (b) 6 (c) 2 (d) 7
  3. 3.What comes next? 5, 9, 14, 20, 27, ? (a) 35 (b) 37 (c) 34 (d) 36
  4. 4.What comes next? 47, 40, 33, 26, 19, ? (a) 13 (b) 12 (c) 11 (d) 5
  5. 5.What comes next? 1, 7, 5, 11, 9, 15, ? (a) 17 (b) 21 (c) 12 (d) 13
  6. 6.What comes next? 2, 11, 20, 29, 38, ? (a) 47 (b) 56 (c) 46 (d) 48
  7. 7.What comes next? 42, 39, 36, 33, 30, ? (a) 28 (b) 26 (c) 27 (d) 24
  8. 8.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 128 (c) 96 (d) 160
  9. 9.What comes next? 22, 30, 38, 46, 54, ? (a) 62 (b) 70 (c) 61 (d) 63
  10. 10.What comes next? 34, 32, 30, 28, 26, ? (a) 24 (b) 22 (c) 25 (d) 23
  11. 11.What comes next? 19, 21, 24, 28, 33, ? (a) 40 (b) 39 (c) 41 (d) 38
  12. 12.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 216 (c) 243 (d) 135
  13. 13.What comes next? 21, 28, 35, 42, 49, ? (a) 57 (b) 55 (c) 63 (d) 56
  14. 14.What comes next? 13, 14, 16, 19, 23, ? (a) 27 (b) 28 (c) 30 (d) 29
  15. 15.What comes next? 3, 6, 9, 12, 15, ? (a) 21 (b) 17 (c) 18 (d) 19
  16. 16.What comes next? 27, 34, 41, 48, 55, ? (a) 69 (b) 62 (c) 61 (d) 63
  17. 17.What comes next? 2, 13, 24, 35, 46, ? (a) 58 (b) 68 (c) 56 (d) 57
  18. 18.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 24 (c) 33 (d) 40
  19. 19.What comes next? 4, 7, 11, 16, 22, ? (a) 31 (b) 28 (c) 29 (d) 30
  20. 20.What comes next? 37, 31, 25, 19, 13, ? (a) 7 (b) 1 (c) 8 (d) 6
  21. 21.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 90 (c) 162 (d) 180
  22. 22.What comes next? 9, 14, 12, 17, 15, 20, ? (a) 17 (b) 22 (c) 18 (d) 25
  23. 23.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 45 (c) 81 (d) 90
  24. 24.What comes next? 14, 23, 32, 41, 50, ? (a) 68 (b) 59 (c) 60 (d) 58
  25. 25.What comes next? 12, 18, 24, 30, 36, ? (a) 43 (b) 41 (c) 42 (d) 48
  26. 26.What comes next? 6, 11, 7, 12, 8, 13, ? (a) 9 (b) 8 (c) 17 (d) 18
  27. 27.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 161 (c) 200 (d) 160
  28. 28.What comes next? 25, 21, 17, 13, 9, ? (a) 5 (b) 6 (c) 1 (d) 4
  29. 29.What comes next? 5, 11, 7, 13, 9, 15, ? (a) 10 (b) 11 (c) 19 (d) 21
  30. 30.What comes next? 58, 50, 42, 34, 26, ? (a) 17 (b) 10 (c) 18 (d) 19
  31. 31.What comes next? 39, 32, 25, 18, 11, ? (a) 3 (b) 6 (c) 4 (d) 5
  32. 32.What comes next? 8, 11, 15, 20, 26, ? (a) 33 (b) 35 (c) 34 (d) 32
  33. 33.What comes next? 8, 12, 17, 23, 30, ? (a) 39 (b) 37 (c) 40 (d) 38
  34. 34.What comes next? 13, 16, 19, 22, 25, ? (a) 29 (b) 27 (c) 28 (d) 31
  35. 35.What comes next? 7, 8, 10, 13, 17, ? (a) 23 (b) 22 (c) 21 (d) 24
  36. 36.What comes next? 30, 39, 48, 57, 66, ? (a) 76 (b) 84 (c) 74 (d) 75
  37. 37.What comes next? 30, 34, 38, 42, 46, ? (a) 49 (b) 50 (c) 51 (d) 54
  38. 38.What comes next? 25, 33, 41, 49, 57, ? (a) 65 (b) 64 (c) 73 (d) 66
  39. 39.What comes next? 29, 32, 35, 38, 41, ? (a) 45 (b) 47 (c) 43 (d) 44
  40. 40.What comes next? 15, 19, 24, 30, 37, ? (a) 44 (b) 45 (c) 47 (d) 46

Answer key

  1. 55
  2. 6
  3. 35
  4. 12
  5. 13
  6. 47
  7. 27
  8. 128
  9. 62
  10. 24
  11. 39
  12. 243
  13. 56
  14. 28
  15. 18
  16. 62
  17. 57
  18. 32
  19. 29
  20. 7
  21. 162
  22. 18
  23. 81
  24. 59
  25. 42
  26. 9
  27. 160
  28. 5
  29. 11
  30. 18
  31. 4
  32. 33
  33. 38
  34. 28
  35. 22
  36. 75
  37. 50
  38. 65
  39. 44
  40. 45

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