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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 656 · 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? 11, 18, 25, 32, 39, ? (a) 47 (b) 46 (c) 45 (d) 53
  2. 2.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 240 (c) 192 (d) 193
  3. 3.What comes next? 19, 22, 26, 31, 37, ? (a) 45 (b) 44 (c) 46 (d) 43
  4. 4.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 64 (c) 65 (d) 48
  5. 5.What comes next? 11, 13, 16, 20, 25, ? (a) 32 (b) 33 (c) 30 (d) 31
  6. 6.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 144 (c) 162 (d) 90
  7. 7.What comes next? 19, 28, 37, 46, 55, ? (a) 63 (b) 65 (c) 73 (d) 64
  8. 8.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 128 (c) 96 (d) 129
  9. 9.What comes next? 16, 13, 10, 7, 4, ? (a) 1 (b) 4 (c) 2 (d) 3
  10. 10.What comes next? 46, 39, 32, 25, 18, ? (a) 10 (b) 12 (c) 4 (d) 11
  11. 11.What comes next? 4, 8, 13, 19, 26, ? (a) 34 (b) 35 (c) 33 (d) 36
  12. 12.What comes next? 7, 8, 10, 13, 17, ? (a) 22 (b) 23 (c) 21 (d) 24
  13. 13.What comes next? 43, 37, 31, 25, 19, ? (a) 12 (b) 7 (c) 14 (d) 13
  14. 14.What comes next? 9, 12, 15, 18, 21, ? (a) 23 (b) 24 (c) 27 (d) 25
  15. 15.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 45 (d) 81
  16. 16.What comes next? 13, 19, 18, 24, 23, 29, ? (a) 30 (b) 28 (c) 27 (d) 35
  17. 17.What comes next? 14, 20, 19, 25, 24, 30, ? (a) 28 (b) 36 (c) 31 (d) 29
  18. 18.What comes next? 17, 21, 20, 24, 23, 27, ? (a) 25 (b) 28 (c) 31 (d) 26
  19. 19.What comes next? 10, 18, 13, 21, 16, 24, ? (a) 32 (b) 19 (c) 18 (d) 29
  20. 20.What comes next? 14, 17, 21, 26, 32, ? (a) 39 (b) 40 (c) 41 (d) 38
  21. 21.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 120 (c) 160 (d) 161
  22. 22.What comes next? 8, 11, 15, 20, 26, ? (a) 35 (b) 33 (c) 34 (d) 32
  23. 23.What comes next? 16, 17, 19, 22, 26, ? (a) 33 (b) 30 (c) 31 (d) 32
  24. 24.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 24 (c) 33 (d) 32
  25. 25.What comes next? 10, 14, 19, 25, 32, ? (a) 39 (b) 42 (c) 41 (d) 40
  26. 26.What comes next? 2, 12, 22, 32, 42, ? (a) 62 (b) 52 (c) 53 (d) 51
  27. 27.What comes next? 13, 17, 15, 19, 17, 21, ? (a) 25 (b) 18 (c) 23 (d) 19
  28. 28.What comes next? 17, 14, 11, 8, 5, ? (a) 4 (b) 1 (c) 2 (d) 3
  29. 29.What comes next? 9, 12, 16, 21, 27, ? (a) 35 (b) 33 (c) 34 (d) 36
  30. 30.What comes next? 41, 35, 29, 23, 17, ? (a) 10 (b) 5 (c) 11 (d) 12
  31. 31.What comes next? 13, 16, 20, 25, 31, ? (a) 37 (b) 38 (c) 40 (d) 39
  32. 32.What comes next? 2, 4, 6, 8, 10, ? (a) 14 (b) 13 (c) 11 (d) 12
  33. 33.What comes next? 9, 18, 27, 36, 45, ? (a) 63 (b) 53 (c) 54 (d) 55
  34. 34.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 96 (c) 120 (d) 97
  35. 35.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 135 (c) 270 (d) 216
  36. 36.What comes next? 60, 54, 48, 42, 36, ? (a) 30 (b) 24 (c) 31 (d) 29
  37. 37.What comes next? 5, 12, 7, 14, 9, 16, ? (a) 11 (b) 21 (c) 10 (d) 23
  38. 38.What comes next? 25, 31, 37, 43, 49, ? (a) 61 (b) 54 (c) 55 (d) 56
  39. 39.What comes next? 17, 20, 19, 22, 21, 24, ? (a) 22 (b) 27 (c) 25 (d) 23
  40. 40.What comes next? 66, 57, 48, 39, 30, ? (a) 21 (b) 22 (c) 12 (d) 20

Answer key

  1. 46
  2. 192
  3. 44
  4. 64
  5. 31
  6. 162
  7. 64
  8. 128
  9. 1
  10. 11
  11. 34
  12. 22
  13. 13
  14. 24
  15. 81
  16. 28
  17. 29
  18. 26
  19. 19
  20. 39
  21. 160
  22. 33
  23. 31
  24. 32
  25. 40
  26. 52
  27. 19
  28. 2
  29. 34
  30. 11
  31. 38
  32. 12
  33. 54
  34. 96
  35. 243
  36. 30
  37. 11
  38. 55
  39. 23
  40. 21

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