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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 442 · 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? 3, 5, 8, 12, 17, ? (a) 25 (b) 23 (c) 22 (d) 24
  2. 2.What comes next? 16, 17, 19, 22, 26, ? (a) 32 (b) 30 (c) 33 (d) 31
  3. 3.What comes next? 25, 21, 17, 13, 9, ? (a) 6 (b) 4 (c) 5 (d) 1
  4. 4.What comes next? 19, 22, 26, 31, 37, ? (a) 43 (b) 45 (c) 44 (d) 46
  5. 5.What comes next? 3, 9, 6, 12, 9, 15, ? (a) 11 (b) 21 (c) 12 (d) 18
  6. 6.What comes next? 20, 24, 22, 26, 24, 28, ? (a) 25 (b) 32 (c) 30 (d) 26
  7. 7.What comes next? 54, 45, 36, 27, 18, ? (a) 9 (b) 8 (c) 11 (d) 10
  8. 8.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 32 (c) 33 (d) 40
  9. 9.What comes next? 23, 26, 29, 32, 35, ? (a) 37 (b) 39 (c) 41 (d) 38
  10. 10.What comes next? 8, 19, 30, 41, 52, ? (a) 74 (b) 62 (c) 64 (d) 63
  11. 11.What comes next? 13, 22, 14, 23, 15, 24, ? (a) 32 (b) 16 (c) 15 (d) 33
  12. 12.What comes next? 9, 11, 14, 18, 23, ? (a) 28 (b) 29 (c) 31 (d) 30
  13. 13.What comes next? 16, 23, 20, 27, 24, 31, ? (a) 38 (b) 28 (c) 34 (d) 27
  14. 14.What comes next? 13, 22, 19, 28, 25, 34, ? (a) 43 (b) 37 (c) 30 (d) 31
  15. 15.What comes next? 7, 13, 8, 14, 9, 15, ? (a) 9 (b) 10 (c) 21 (d) 20
  16. 16.What comes next? 5, 8, 12, 17, 23, ? (a) 31 (b) 29 (c) 30 (d) 32
  17. 17.What comes next? 46, 37, 28, 19, 10, ? (a) 2 (b) 4 (c) 3 (d) 1
  18. 18.What comes next? 3, 9, 15, 21, 27, ? (a) 32 (b) 34 (c) 39 (d) 33
  19. 19.What comes next? 5, 9, 14, 20, 27, ? (a) 37 (b) 35 (c) 34 (d) 36
  20. 20.What comes next? 28, 36, 44, 52, 60, ? (a) 67 (b) 76 (c) 69 (d) 68
  21. 21.What comes next? 13, 15, 17, 19, 21, ? (a) 24 (b) 22 (c) 25 (d) 23
  22. 22.What comes next? 65, 58, 51, 44, 37, ? (a) 23 (b) 31 (c) 29 (d) 30
  23. 23.What comes next? 1, 5, 3, 7, 5, 9, ? (a) 13 (b) 7 (c) 11 (d) 6
  24. 24.What comes next? 1, 5, 2, 6, 3, 7, ? (a) 3 (b) 10 (c) 11 (d) 4
  25. 25.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 96 (c) 128 (d) 129
  26. 26.What comes next? 1, 3, 6, 10, 15, ? (a) 20 (b) 22 (c) 23 (d) 21
  27. 27.What comes next? 20, 24, 28, 32, 36, ? (a) 41 (b) 39 (c) 40 (d) 44
  28. 28.What comes next? 7, 13, 19, 25, 31, ? (a) 38 (b) 43 (c) 37 (d) 36
  29. 29.What comes next? 16, 20, 18, 22, 20, 24, ? (a) 28 (b) 22 (c) 21 (d) 26
  30. 30.What comes next? 20, 21, 23, 26, 30, ? (a) 34 (b) 37 (c) 35 (d) 36
  31. 31.What comes next? 13, 15, 18, 22, 27, ? (a) 32 (b) 35 (c) 33 (d) 34
  32. 32.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 270 (c) 216 (d) 135
  33. 33.What comes next? 34, 28, 22, 16, 10, ? (a) 4 (b) 5 (c) 6 (d) 3
  34. 34.What comes next? 56, 47, 38, 29, 20, ? (a) 10 (b) 11 (c) 2 (d) 12
  35. 35.What comes next? 12, 19, 26, 33, 40, ? (a) 48 (b) 46 (c) 54 (d) 47
  36. 36.What comes next? 21, 23, 25, 27, 29, ? (a) 32 (b) 33 (c) 31 (d) 30
  37. 37.What comes next? 40, 38, 36, 34, 32, ? (a) 30 (b) 28 (c) 31 (d) 29
  38. 38.What comes next? 6, 14, 8, 16, 10, 18, ? (a) 24 (b) 26 (c) 11 (d) 12
  39. 39.What comes next? 31, 26, 21, 16, 11, ? (a) 6 (b) 5 (c) 7 (d) 1
  40. 40.What comes next? 9, 11, 13, 15, 17, ? (a) 20 (b) 18 (c) 21 (d) 19

Answer key

  1. 23
  2. 31
  3. 5
  4. 44
  5. 12
  6. 26
  7. 9
  8. 32
  9. 38
  10. 63
  11. 16
  12. 29
  13. 28
  14. 31
  15. 10
  16. 30
  17. 1
  18. 33
  19. 35
  20. 68
  21. 23
  22. 30
  23. 7
  24. 4
  25. 128
  26. 21
  27. 40
  28. 37
  29. 22
  30. 35
  31. 33
  32. 243
  33. 4
  34. 11
  35. 47
  36. 31
  37. 30
  38. 12
  39. 6
  40. 19

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