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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 549 · 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, 19, 24, 30, 37, ? (a) 44 (b) 46 (c) 45 (d) 47
  2. 2.What comes next? 58, 50, 42, 34, 26, ? (a) 17 (b) 19 (c) 18 (d) 10
  3. 3.What comes next? 61, 54, 47, 40, 33, ? (a) 25 (b) 27 (c) 19 (d) 26
  4. 4.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 81 (d) 72
  5. 5.What comes next? 12, 21, 30, 39, 48, ? (a) 66 (b) 57 (c) 56 (d) 58
  6. 6.What comes next? 66, 58, 50, 42, 34, ? (a) 26 (b) 27 (c) 25 (d) 18
  7. 7.What comes next? 23, 19, 15, 11, 7, ? (a) 2 (b) 3 (c) 4 (d) 5
  8. 8.What comes next? 5, 15, 25, 35, 45, ? (a) 54 (b) 65 (c) 55 (d) 56
  9. 9.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 97 (c) 120 (d) 96
  10. 10.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 270 (c) 135 (d) 216
  11. 11.What comes next? 5, 14, 23, 32, 41, ? (a) 59 (b) 51 (c) 49 (d) 50
  12. 12.What comes next? 7, 9, 12, 16, 21, ? (a) 26 (b) 29 (c) 27 (d) 28
  13. 13.What comes next? 36, 30, 24, 18, 12, ? (a) 8 (b) 6 (c) 7 (d) 5
  14. 14.What comes next? 19, 16, 13, 10, 7, ? (a) 5 (b) 3 (c) 1 (d) 4
  15. 15.What comes next? 5, 17, 29, 41, 53, ? (a) 64 (b) 65 (c) 66 (d) 77
  16. 16.What comes next? 34, 32, 30, 28, 26, ? (a) 22 (b) 25 (c) 24 (d) 23
  17. 17.What comes next? 4, 7, 6, 9, 8, 11, ? (a) 9 (b) 12 (c) 14 (d) 10
  18. 18.What comes next? 3, 8, 4, 9, 5, 10, ? (a) 15 (b) 6 (c) 14 (d) 5
  19. 19.What comes next? 2, 11, 6, 15, 10, 19, ? (a) 13 (b) 28 (c) 24 (d) 14
  20. 20.What comes next? 14, 20, 26, 32, 38, ? (a) 50 (b) 43 (c) 44 (d) 45
  21. 21.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 24 (c) 33 (d) 40
  22. 22.What comes next? 6, 8, 10, 12, 14, ? (a) 16 (b) 18 (c) 15 (d) 17
  23. 23.What comes next? 4, 11, 9, 16, 14, 21, ? (a) 28 (b) 18 (c) 19 (d) 23
  24. 24.What comes next? 6, 9, 13, 18, 24, ? (a) 30 (b) 32 (c) 33 (d) 31
  25. 25.What comes next? 11, 14, 12, 15, 13, 16, ? (a) 14 (b) 13 (c) 19 (d) 18
  26. 26.What comes next? 1, 5, 3, 7, 5, 9, ? (a) 11 (b) 13 (c) 7 (d) 6
  27. 27.What comes next? 17, 15, 13, 11, 9, ? (a) 5 (b) 7 (c) 6 (d) 8
  28. 28.What comes next? 28, 32, 36, 40, 44, ? (a) 48 (b) 49 (c) 52 (d) 47
  29. 29.What comes next? 63, 55, 47, 39, 31, ? (a) 24 (b) 15 (c) 22 (d) 23
  30. 30.What comes next? 41, 33, 25, 17, 9, ? (a) 4 (b) 1 (c) 2 (d) 3
  31. 31.What comes next? 50, 42, 34, 26, 18, ? (a) 10 (b) 11 (c) 2 (d) 9
  32. 32.What comes next? 11, 15, 14, 18, 17, 21, ? (a) 20 (b) 22 (c) 25 (d) 19
  33. 33.What comes next? 5, 7, 10, 14, 19, ? (a) 26 (b) 27 (c) 25 (d) 24
  34. 34.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 192 (c) 193 (d) 144
  35. 35.What comes next? 42, 39, 36, 33, 30, ? (a) 26 (b) 28 (c) 27 (d) 24
  36. 36.What comes next? 9, 12, 16, 21, 27, ? (a) 33 (b) 36 (c) 35 (d) 34
  37. 37.What comes next? 16, 18, 21, 25, 30, ? (a) 38 (b) 36 (c) 35 (d) 37
  38. 38.What comes next? 5, 13, 9, 17, 13, 21, ? (a) 25 (b) 17 (c) 29 (d) 16
  39. 39.What comes next? 8, 17, 13, 22, 18, 27, ? (a) 22 (b) 36 (c) 31 (d) 23
  40. 40.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 161 (c) 200 (d) 120

Answer key

  1. 45
  2. 18
  3. 26
  4. 81
  5. 57
  6. 26
  7. 3
  8. 55
  9. 96
  10. 243
  11. 50
  12. 27
  13. 6
  14. 4
  15. 65
  16. 24
  17. 10
  18. 6
  19. 14
  20. 44
  21. 32
  22. 16
  23. 19
  24. 31
  25. 14
  26. 7
  27. 7
  28. 48
  29. 23
  30. 1
  31. 10
  32. 20
  33. 25
  34. 192
  35. 27
  36. 34
  37. 36
  38. 17
  39. 23
  40. 160

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