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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 427 · 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, 4, 6, 9, 13, ? (a) 17 (b) 20 (c) 19 (d) 18
  2. 2.What comes next? 10, 11, 13, 16, 20, ? (a) 26 (b) 24 (c) 25 (d) 27
  3. 3.What comes next? 14, 22, 21, 29, 28, 36, ? (a) 35 (b) 34 (c) 44 (d) 37
  4. 4.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 96 (c) 128 (d) 160
  5. 5.What comes next? 8, 12, 17, 23, 30, ? (a) 39 (b) 37 (c) 40 (d) 38
  6. 6.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 40 (d) 32
  7. 7.What comes next? 20, 24, 29, 35, 42, ? (a) 49 (b) 51 (c) 52 (d) 50
  8. 8.What comes next? 17, 20, 24, 29, 35, ? (a) 42 (b) 41 (c) 43 (d) 44
  9. 9.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 200 (c) 120 (d) 161
  10. 10.What comes next? 13, 20, 17, 24, 21, 28, ? (a) 31 (b) 35 (c) 24 (d) 25
  11. 11.What comes next? 13, 20, 15, 22, 17, 24, ? (a) 31 (b) 29 (c) 18 (d) 19
  12. 12.What comes next? 6, 9, 8, 11, 10, 13, ? (a) 16 (b) 11 (c) 14 (d) 12
  13. 13.What comes next? 11, 18, 16, 23, 21, 28, ? (a) 30 (b) 35 (c) 26 (d) 25
  14. 14.What comes next? 2, 5, 3, 6, 4, 7, ? (a) 9 (b) 10 (c) 5 (d) 4
  15. 15.What comes next? 4, 8, 12, 16, 20, ? (a) 28 (b) 24 (c) 23 (d) 25
  16. 16.What comes next? 4, 6, 8, 10, 12, ? (a) 14 (b) 13 (c) 15 (d) 16
  17. 17.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 135 (d) 243
  18. 18.What comes next? 2, 5, 9, 14, 20, ? (a) 28 (b) 27 (c) 26 (d) 29
  19. 19.What comes next? 6, 7, 9, 12, 16, ? (a) 20 (b) 22 (c) 23 (d) 21
  20. 20.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 96 (c) 120 (d) 72
  21. 21.What comes next? 9, 15, 13, 19, 17, 23, ? (a) 25 (b) 20 (c) 29 (d) 21
  22. 22.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 192 (c) 240 (d) 193
  23. 23.What comes next? 50, 44, 38, 32, 26, ? (a) 21 (b) 19 (c) 14 (d) 20
  24. 24.What comes next? 3, 15, 27, 39, 51, ? (a) 75 (b) 63 (c) 64 (d) 62
  25. 25.What comes next? 4, 8, 5, 9, 6, 10, ? (a) 6 (b) 13 (c) 14 (d) 7
  26. 26.What comes next? 34, 32, 30, 28, 26, ? (a) 22 (b) 23 (c) 25 (d) 24
  27. 27.What comes next? 47, 38, 29, 20, 11, ? (a) 1 (b) 3 (c) 4 (d) 2
  28. 28.What comes next? 16, 20, 25, 31, 38, ? (a) 45 (b) 48 (c) 46 (d) 47
  29. 29.What comes next? 7, 13, 12, 18, 17, 23, ? (a) 24 (b) 29 (c) 22 (d) 21
  30. 30.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 45 (d) 81
  31. 31.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 162 (d) 90
  32. 32.What comes next? 13, 14, 16, 19, 23, ? (a) 28 (b) 29 (c) 30 (d) 27
  33. 33.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 80 (c) 48 (d) 65
  34. 34.What comes next? 3, 5, 8, 12, 17, ? (a) 23 (b) 24 (c) 25 (d) 22
  35. 35.What comes next? 14, 22, 30, 38, 46, ? (a) 55 (b) 62 (c) 53 (d) 54
  36. 36.What comes next? 18, 20, 22, 24, 26, ? (a) 28 (b) 27 (c) 30 (d) 29
  37. 37.What comes next? 55, 49, 43, 37, 31, ? (a) 24 (b) 26 (c) 19 (d) 25
  38. 38.What comes next? 8, 16, 24, 32, 40, ? (a) 48 (b) 47 (c) 49 (d) 56
  39. 39.What comes next? 16, 23, 22, 29, 28, 35, ? (a) 42 (b) 34 (c) 33 (d) 36
  40. 40.What comes next? 23, 27, 31, 35, 39, ? (a) 42 (b) 44 (c) 47 (d) 43

Answer key

  1. 18
  2. 25
  3. 35
  4. 128
  5. 38
  6. 32
  7. 50
  8. 42
  9. 160
  10. 25
  11. 19
  12. 12
  13. 26
  14. 5
  15. 24
  16. 14
  17. 243
  18. 27
  19. 21
  20. 96
  21. 21
  22. 192
  23. 20
  24. 63
  25. 7
  26. 24
  27. 2
  28. 46
  29. 22
  30. 81
  31. 162
  32. 28
  33. 64
  34. 23
  35. 54
  36. 28
  37. 25
  38. 48
  39. 34
  40. 43

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