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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 221 · 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? 9, 11, 13, 15, 17, ? (a) 20 (b) 18 (c) 19 (d) 21
  2. 2.What comes next? 28, 32, 36, 40, 44, ? (a) 49 (b) 48 (c) 52 (d) 47
  3. 3.What comes next? 14, 18, 17, 21, 20, 24, ? (a) 25 (b) 28 (c) 23 (d) 22
  4. 4.What comes next? 11, 19, 12, 20, 13, 21, ? (a) 14 (b) 29 (c) 13 (d) 28
  5. 5.What comes next? 42, 34, 26, 18, 10, ? (a) 3 (b) 4 (c) 2 (d) 1
  6. 6.What comes next? 8, 13, 18, 23, 28, ? (a) 32 (b) 34 (c) 38 (d) 33
  7. 7.What comes next? 1, 4, 8, 13, 19, ? (a) 25 (b) 27 (c) 26 (d) 28
  8. 8.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 193 (c) 192 (d) 240
  9. 9.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 72 (c) 120 (d) 97
  10. 10.What comes next? 11, 20, 12, 21, 13, 22, ? (a) 31 (b) 14 (c) 13 (d) 30
  11. 11.What comes next? 45, 40, 35, 30, 25, ? (a) 15 (b) 19 (c) 21 (d) 20
  12. 12.What comes next? 27, 33, 39, 45, 51, ? (a) 58 (b) 57 (c) 56 (d) 63
  13. 13.What comes next? 21, 27, 33, 39, 45, ? (a) 57 (b) 52 (c) 50 (d) 51
  14. 14.What comes next? 13, 14, 16, 19, 23, ? (a) 29 (b) 30 (c) 28 (d) 27
  15. 15.What comes next? 8, 13, 12, 17, 16, 21, ? (a) 26 (b) 19 (c) 22 (d) 20
  16. 16.What comes next? 2, 5, 9, 14, 20, ? (a) 26 (b) 28 (c) 29 (d) 27
  17. 17.What comes next? 49, 45, 41, 37, 33, ? (a) 29 (b) 28 (c) 30 (d) 25
  18. 18.What comes next? 9, 20, 31, 42, 53, ? (a) 63 (b) 64 (c) 75 (d) 65
  19. 19.What comes next? 2, 6, 5, 9, 8, 12, ? (a) 10 (b) 16 (c) 13 (d) 11
  20. 20.What comes next? 51, 43, 35, 27, 19, ? (a) 12 (b) 11 (c) 10 (d) 3
  21. 21.What comes next? 29, 37, 45, 53, 61, ? (a) 77 (b) 70 (c) 68 (d) 69
  22. 22.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 81 (d) 45
  23. 23.What comes next? 3, 10, 5, 12, 7, 14, ? (a) 19 (b) 9 (c) 21 (d) 8
  24. 24.What comes next? 5, 9, 14, 20, 27, ? (a) 34 (b) 36 (c) 35 (d) 37
  25. 25.What comes next? 9, 19, 29, 39, 49, ? (a) 58 (b) 69 (c) 59 (d) 60
  26. 26.What comes next? 17, 26, 24, 33, 31, 40, ? (a) 38 (b) 49 (c) 42 (d) 37
  27. 27.What comes next? 19, 23, 28, 34, 41, ? (a) 48 (b) 51 (c) 49 (d) 50
  28. 28.What comes next? 4, 9, 5, 10, 6, 11, ? (a) 15 (b) 7 (c) 6 (d) 16
  29. 29.What comes next? 50, 43, 36, 29, 22, ? (a) 14 (b) 15 (c) 16 (d) 8
  30. 30.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 96 (c) 129 (d) 128
  31. 31.What comes next? 27, 30, 33, 36, 39, ? (a) 43 (b) 45 (c) 41 (d) 42
  32. 32.What comes next? 4, 7, 11, 16, 22, ? (a) 30 (b) 29 (c) 31 (d) 28
  33. 33.What comes next? 3, 11, 4, 12, 5, 13, ? (a) 6 (b) 21 (c) 5 (d) 20
  34. 34.What comes next? 12, 15, 13, 16, 14, 17, ? (a) 19 (b) 15 (c) 20 (d) 14
  35. 35.What comes next? 4, 8, 7, 11, 10, 14, ? (a) 12 (b) 18 (c) 13 (d) 15
  36. 36.What comes next? 14, 17, 16, 19, 18, 21, ? (a) 19 (b) 24 (c) 22 (d) 20
  37. 37.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 64 (c) 80 (d) 65
  38. 38.What comes next? 21, 24, 27, 30, 33, ? (a) 35 (b) 36 (c) 39 (d) 37
  39. 39.What comes next? 8, 12, 17, 23, 30, ? (a) 38 (b) 39 (c) 40 (d) 37
  40. 40.What comes next? 1, 5, 10, 16, 23, ? (a) 31 (b) 33 (c) 32 (d) 30

Answer key

  1. 19
  2. 48
  3. 23
  4. 14
  5. 2
  6. 33
  7. 26
  8. 192
  9. 96
  10. 14
  11. 20
  12. 57
  13. 51
  14. 28
  15. 20
  16. 27
  17. 29
  18. 64
  19. 11
  20. 11
  21. 69
  22. 81
  23. 9
  24. 35
  25. 59
  26. 38
  27. 49
  28. 7
  29. 15
  30. 128
  31. 42
  32. 29
  33. 6
  34. 15
  35. 13
  36. 20
  37. 64
  38. 36
  39. 38
  40. 31

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