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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 146 · 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? 14, 15, 17, 20, 24, ? (a) 28 (b) 30 (c) 31 (d) 29
  2. 2.What comes next? 21, 33, 45, 57, 69, ? (a) 93 (b) 82 (c) 80 (d) 81
  3. 3.What comes next? 9, 12, 16, 21, 27, ? (a) 36 (b) 34 (c) 35 (d) 33
  4. 4.What comes next? 15, 20, 18, 23, 21, 26, ? (a) 28 (b) 31 (c) 24 (d) 23
  5. 5.What comes next? 24, 21, 18, 15, 12, ? (a) 9 (b) 6 (c) 10 (d) 8
  6. 6.What comes next? 7, 12, 9, 14, 11, 16, ? (a) 12 (b) 19 (c) 21 (d) 13
  7. 7.What comes next? 3, 5, 8, 12, 17, ? (a) 24 (b) 22 (c) 25 (d) 23
  8. 8.What comes next? 7, 15, 11, 19, 15, 23, ? (a) 31 (b) 19 (c) 27 (d) 18
  9. 9.What comes next? 23, 21, 19, 17, 15, ? (a) 14 (b) 13 (c) 12 (d) 11
  10. 10.What comes next? 5, 9, 14, 20, 27, ? (a) 37 (b) 34 (c) 36 (d) 35
  11. 11.What comes next? 15, 24, 21, 30, 27, 36, ? (a) 45 (b) 33 (c) 39 (d) 32
  12. 12.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 192 (c) 144 (d) 240
  13. 13.What comes next? 11, 12, 14, 17, 21, ? (a) 28 (b) 26 (c) 27 (d) 25
  14. 14.What comes next? 28, 25, 22, 19, 16, ? (a) 13 (b) 14 (c) 12 (d) 10
  15. 15.What comes next? 1, 5, 10, 16, 23, ? (a) 33 (b) 30 (c) 31 (d) 32
  16. 16.What comes next? 41, 33, 25, 17, 9, ? (a) 3 (b) 4 (c) 2 (d) 1
  17. 17.What comes next? 20, 22, 25, 29, 34, ? (a) 41 (b) 40 (c) 42 (d) 39
  18. 18.What comes next? 33, 29, 25, 21, 17, ? (a) 9 (b) 14 (c) 12 (d) 13
  19. 19.What comes next? 13, 16, 14, 17, 15, 18, ? (a) 20 (b) 16 (c) 15 (d) 21
  20. 20.What comes next? 65, 58, 51, 44, 37, ? (a) 30 (b) 31 (c) 23 (d) 29
  21. 21.What comes next? 45, 40, 35, 30, 25, ? (a) 21 (b) 20 (c) 15 (d) 19
  22. 22.What comes next? 44, 39, 34, 29, 24, ? (a) 18 (b) 19 (c) 20 (d) 14
  23. 23.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 40 (c) 33 (d) 24
  24. 24.What comes next? 14, 16, 18, 20, 22, ? (a) 25 (b) 26 (c) 23 (d) 24
  25. 25.What comes next? 53, 47, 41, 35, 29, ? (a) 22 (b) 17 (c) 24 (d) 23
  26. 26.What comes next? 20, 23, 27, 32, 38, ? (a) 47 (b) 44 (c) 46 (d) 45
  27. 27.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 162 (c) 180 (d) 90
  28. 28.What comes next? 18, 21, 25, 30, 36, ? (a) 42 (b) 44 (c) 43 (d) 45
  29. 29.What comes next? 1, 9, 5, 13, 9, 17, ? (a) 25 (b) 12 (c) 13 (d) 21
  30. 30.What comes next? 62, 55, 48, 41, 34, ? (a) 26 (b) 20 (c) 28 (d) 27
  31. 31.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 72 (c) 96 (d) 120
  32. 32.What comes next? 3, 11, 5, 13, 7, 15, ? (a) 9 (b) 23 (c) 8 (d) 21
  33. 33.What comes next? 2, 6, 4, 8, 6, 10, ? (a) 14 (b) 12 (c) 7 (d) 8
  34. 34.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 81 (d) 45
  35. 35.What comes next? 29, 34, 39, 44, 49, ? (a) 53 (b) 54 (c) 55 (d) 59
  36. 36.What comes next? 10, 13, 17, 22, 28, ? (a) 37 (b) 36 (c) 34 (d) 35
  37. 37.What comes next? 2, 5, 4, 7, 6, 9, ? (a) 7 (b) 8 (c) 12 (d) 10
  38. 38.What comes next? 4, 6, 9, 13, 18, ? (a) 24 (b) 26 (c) 23 (d) 25
  39. 39.What comes next? 8, 12, 16, 20, 24, ? (a) 27 (b) 32 (c) 28 (d) 29
  40. 40.What comes next? 10, 14, 19, 25, 32, ? (a) 40 (b) 39 (c) 41 (d) 42

Answer key

  1. 29
  2. 81
  3. 34
  4. 24
  5. 9
  6. 13
  7. 23
  8. 19
  9. 13
  10. 35
  11. 33
  12. 192
  13. 26
  14. 13
  15. 31
  16. 1
  17. 40
  18. 13
  19. 16
  20. 30
  21. 20
  22. 19
  23. 32
  24. 24
  25. 23
  26. 45
  27. 162
  28. 43
  29. 13
  30. 27
  31. 96
  32. 9
  33. 8
  34. 81
  35. 54
  36. 35
  37. 8
  38. 24
  39. 28
  40. 40

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