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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 419 · 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? 26, 21, 16, 11, 6, ? (a) 4 (b) 3 (c) 2 (d) 1
  2. 2.What comes next? 4, 13, 6, 15, 8, 17, ? (a) 24 (b) 26 (c) 9 (d) 10
  3. 3.What comes next? 38, 32, 26, 20, 14, ? (a) 7 (b) 2 (c) 8 (d) 9
  4. 4.What comes next? 7, 9, 12, 16, 21, ? (a) 27 (b) 26 (c) 29 (d) 28
  5. 5.What comes next? 39, 37, 35, 33, 31, ? (a) 29 (b) 30 (c) 28 (d) 27
  6. 6.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 161 (c) 160 (d) 120
  7. 7.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 81 (d) 45
  8. 8.What comes next? 12, 14, 17, 21, 26, ? (a) 32 (b) 34 (c) 31 (d) 33
  9. 9.What comes next? 6, 13, 9, 16, 12, 19, ? (a) 14 (b) 26 (c) 23 (d) 15
  10. 10.What comes next? 4, 6, 8, 10, 12, ? (a) 13 (b) 16 (c) 15 (d) 14
  11. 11.What comes next? 4, 6, 9, 13, 18, ? (a) 24 (b) 26 (c) 23 (d) 25
  12. 12.What comes next? 13, 17, 16, 20, 19, 23, ? (a) 22 (b) 21 (c) 27 (d) 24
  13. 13.What comes next? 29, 37, 45, 53, 61, ? (a) 70 (b) 77 (c) 68 (d) 69
  14. 14.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 24 (c) 32 (d) 40
  15. 15.What comes next? 26, 22, 18, 14, 10, ? (a) 6 (b) 2 (c) 7 (d) 5
  16. 16.What comes next? 17, 21, 25, 29, 33, ? (a) 41 (b) 36 (c) 37 (d) 38
  17. 17.What comes next? 3, 10, 17, 24, 31, ? (a) 45 (b) 37 (c) 39 (d) 38
  18. 18.What comes next? 22, 31, 40, 49, 58, ? (a) 76 (b) 66 (c) 67 (d) 68
  19. 19.What comes next? 30, 37, 44, 51, 58, ? (a) 66 (b) 65 (c) 64 (d) 72
  20. 20.What comes next? 35, 29, 23, 17, 11, ? (a) 6 (b) 5 (c) 4 (d) 7
  21. 21.What comes next? 2, 4, 7, 11, 16, ? (a) 21 (b) 23 (c) 24 (d) 22
  22. 22.What comes next? 39, 32, 25, 18, 11, ? (a) 6 (b) 5 (c) 4 (d) 3
  23. 23.What comes next? 17, 20, 24, 29, 35, ? (a) 43 (b) 42 (c) 41 (d) 44
  24. 24.What comes next? 3, 9, 7, 13, 11, 17, ? (a) 15 (b) 14 (c) 19 (d) 23
  25. 25.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 270 (c) 135 (d) 216
  26. 26.What comes next? 12, 20, 28, 36, 44, ? (a) 60 (b) 53 (c) 51 (d) 52
  27. 27.What comes next? 20, 24, 21, 25, 22, 26, ? (a) 29 (b) 30 (c) 22 (d) 23
  28. 28.What comes next? 2, 11, 20, 29, 38, ? (a) 48 (b) 47 (c) 46 (d) 56
  29. 29.What comes next? 1, 4, 8, 13, 19, ? (a) 27 (b) 25 (c) 28 (d) 26
  30. 30.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 80 (c) 48 (d) 64
  31. 31.What comes next? 24, 21, 18, 15, 12, ? (a) 8 (b) 6 (c) 10 (d) 9
  32. 32.What comes next? 13, 14, 16, 19, 23, ? (a) 27 (b) 29 (c) 28 (d) 30
  33. 33.What comes next? 46, 42, 38, 34, 30, ? (a) 22 (b) 26 (c) 25 (d) 27
  34. 34.What comes next? 11, 15, 19, 23, 27, ? (a) 31 (b) 35 (c) 30 (d) 32
  35. 35.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 192 (c) 193 (d) 144
  36. 36.What comes next? 37, 30, 23, 16, 9, ? (a) 2 (b) 1 (c) 3 (d) 4
  37. 37.What comes next? 43, 38, 33, 28, 23, ? (a) 18 (b) 17 (c) 13 (d) 19
  38. 38.What comes next? 56, 47, 38, 29, 20, ? (a) 12 (b) 2 (c) 10 (d) 11
  39. 39.What comes next? 8, 11, 15, 20, 26, ? (a) 32 (b) 33 (c) 35 (d) 34
  40. 40.What comes next? 17, 21, 18, 22, 19, 23, ? (a) 26 (b) 19 (c) 27 (d) 20

Answer key

  1. 1
  2. 10
  3. 8
  4. 27
  5. 29
  6. 160
  7. 81
  8. 32
  9. 15
  10. 14
  11. 24
  12. 22
  13. 69
  14. 32
  15. 6
  16. 37
  17. 38
  18. 67
  19. 65
  20. 5
  21. 22
  22. 4
  23. 42
  24. 15
  25. 243
  26. 52
  27. 23
  28. 47
  29. 26
  30. 64
  31. 9
  32. 28
  33. 26
  34. 31
  35. 192
  36. 2
  37. 18
  38. 11
  39. 33
  40. 20

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