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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 148 · 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? 48, 40, 32, 24, 16, ? (a) 7 (b) 10 (c) 8 (d) 9
  2. 2.What comes next? 9, 13, 18, 24, 31, ? (a) 39 (b) 38 (c) 41 (d) 40
  3. 3.What comes next? 29, 25, 21, 17, 13, ? (a) 5 (b) 9 (c) 10 (d) 8
  4. 4.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 243 (d) 270
  5. 5.What comes next? 14, 24, 34, 44, 54, ? (a) 74 (b) 64 (c) 65 (d) 63
  6. 6.What comes next? 9, 12, 11, 14, 13, 16, ? (a) 14 (b) 19 (c) 17 (d) 15
  7. 7.What comes next? 18, 19, 21, 24, 28, ? (a) 32 (b) 35 (c) 33 (d) 34
  8. 8.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 161 (c) 200 (d) 120
  9. 9.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 162 (d) 144
  10. 10.What comes next? 72, 63, 54, 45, 36, ? (a) 28 (b) 27 (c) 18 (d) 26
  11. 11.What comes next? 15, 24, 33, 42, 51, ? (a) 69 (b) 59 (c) 60 (d) 61
  12. 12.What comes next? 56, 49, 42, 35, 28, ? (a) 20 (b) 22 (c) 14 (d) 21
  13. 13.What comes next? 7, 11, 16, 22, 29, ? (a) 39 (b) 36 (c) 37 (d) 38
  14. 14.What comes next? 50, 43, 36, 29, 22, ? (a) 15 (b) 16 (c) 8 (d) 14
  15. 15.What comes next? 10, 18, 26, 34, 42, ? (a) 58 (b) 50 (c) 51 (d) 49
  16. 16.What comes next? 23, 31, 39, 47, 55, ? (a) 62 (b) 64 (c) 63 (d) 71
  17. 17.What comes next? 51, 42, 33, 24, 15, ? (a) 6 (b) 8 (c) 7 (d) 5
  18. 18.What comes next? 13, 21, 29, 37, 45, ? (a) 52 (b) 53 (c) 61 (d) 54
  19. 19.What comes next? 14, 17, 16, 19, 18, 21, ? (a) 19 (b) 24 (c) 22 (d) 20
  20. 20.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 33 (c) 24 (d) 40
  21. 21.What comes next? 13, 18, 23, 28, 33, ? (a) 37 (b) 39 (c) 38 (d) 43
  22. 22.What comes next? 12, 20, 18, 26, 24, 32, ? (a) 40 (b) 29 (c) 30 (d) 34
  23. 23.What comes next? 19, 23, 27, 31, 35, ? (a) 40 (b) 43 (c) 39 (d) 38
  24. 24.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 72 (c) 120 (d) 96
  25. 25.What comes next? 57, 51, 45, 39, 33, ? (a) 26 (b) 21 (c) 28 (d) 27
  26. 26.What comes next? 27, 30, 33, 36, 39, ? (a) 45 (b) 41 (c) 43 (d) 42
  27. 27.What comes next? 8, 15, 14, 21, 20, 27, ? (a) 28 (b) 34 (c) 25 (d) 26
  28. 28.What comes next? 4, 6, 9, 13, 18, ? (a) 23 (b) 25 (c) 24 (d) 26
  29. 29.What comes next? 7, 19, 31, 43, 55, ? (a) 79 (b) 68 (c) 66 (d) 67
  30. 30.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 129 (c) 96 (d) 128
  31. 31.What comes next? 55, 46, 37, 28, 19, ? (a) 9 (b) 11 (c) 10 (d) 1
  32. 32.What comes next? 41, 35, 29, 23, 17, ? (a) 12 (b) 10 (c) 11 (d) 5
  33. 33.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 90 (c) 45 (d) 72
  34. 34.What comes next? 16, 14, 12, 10, 8, ? (a) 4 (b) 5 (c) 6 (d) 7
  35. 35.What comes next? 22, 25, 28, 31, 34, ? (a) 37 (b) 38 (c) 36 (d) 40
  36. 36.What comes next? 25, 28, 31, 34, 37, ? (a) 41 (b) 40 (c) 43 (d) 39
  37. 37.What comes next? 16, 25, 21, 30, 26, 35, ? (a) 44 (b) 30 (c) 39 (d) 31
  38. 38.What comes next? 10, 16, 13, 19, 16, 22, ? (a) 19 (b) 25 (c) 28 (d) 18
  39. 39.What comes next? 30, 26, 22, 18, 14, ? (a) 10 (b) 9 (c) 11 (d) 6
  40. 40.What comes next? 13, 19, 17, 23, 21, 27, ? (a) 25 (b) 33 (c) 24 (d) 29

Answer key

  1. 8
  2. 39
  3. 9
  4. 243
  5. 64
  6. 15
  7. 33
  8. 160
  9. 162
  10. 27
  11. 60
  12. 21
  13. 37
  14. 15
  15. 50
  16. 63
  17. 6
  18. 53
  19. 20
  20. 32
  21. 38
  22. 30
  23. 39
  24. 96
  25. 27
  26. 42
  27. 26
  28. 24
  29. 67
  30. 128
  31. 10
  32. 11
  33. 81
  34. 6
  35. 37
  36. 40
  37. 31
  38. 19
  39. 10
  40. 25

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