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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 323 · 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? 47, 40, 33, 26, 19, ? (a) 11 (b) 5 (c) 13 (d) 12
  2. 2.What comes next? 14, 16, 19, 23, 28, ? (a) 34 (b) 36 (c) 33 (d) 35
  3. 3.What comes next? 51, 43, 35, 27, 19, ? (a) 3 (b) 11 (c) 10 (d) 12
  4. 4.What comes next? 3, 6, 10, 15, 21, ? (a) 30 (b) 28 (c) 27 (d) 29
  5. 5.What comes next? 27, 22, 17, 12, 7, ? (a) 4 (b) 1 (c) 3 (d) 2
  6. 6.What comes next? 15, 18, 21, 24, 27, ? (a) 31 (b) 30 (c) 29 (d) 33
  7. 7.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 32 (c) 24 (d) 33
  8. 8.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 64 (c) 65 (d) 48
  9. 9.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 160 (c) 128 (d) 129
  10. 10.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 240 (c) 192 (d) 144
  11. 11.What comes next? 13, 17, 22, 28, 35, ? (a) 43 (b) 42 (c) 44 (d) 45
  12. 12.What comes next? 11, 13, 15, 17, 19, ? (a) 21 (b) 23 (c) 20 (d) 22
  13. 13.What comes next? 14, 18, 22, 26, 30, ? (a) 33 (b) 35 (c) 34 (d) 38
  14. 14.What comes next? 64, 55, 46, 37, 28, ? (a) 18 (b) 19 (c) 10 (d) 20
  15. 15.What comes next? 17, 20, 24, 29, 35, ? (a) 42 (b) 43 (c) 41 (d) 44
  16. 16.What comes next? 15, 19, 24, 30, 37, ? (a) 45 (b) 46 (c) 47 (d) 44
  17. 17.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 270 (c) 216 (d) 135
  18. 18.What comes next? 2, 12, 22, 32, 42, ? (a) 62 (b) 52 (c) 51 (d) 53
  19. 19.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 120 (c) 96 (d) 97
  20. 20.What comes next? 10, 12, 15, 19, 24, ? (a) 29 (b) 32 (c) 31 (d) 30
  21. 21.What comes next? 8, 12, 11, 15, 14, 18, ? (a) 16 (b) 19 (c) 17 (d) 22
  22. 22.What comes next? 3, 7, 12, 18, 25, ? (a) 32 (b) 35 (c) 33 (d) 34
  23. 23.What comes next? 28, 24, 20, 16, 12, ? (a) 4 (b) 9 (c) 8 (d) 7
  24. 24.What comes next? 37, 30, 23, 16, 9, ? (a) 4 (b) 2 (c) 3 (d) 1
  25. 25.What comes next? 24, 27, 30, 33, 36, ? (a) 42 (b) 40 (c) 38 (d) 39
  26. 26.What comes next? 19, 20, 22, 25, 29, ? (a) 35 (b) 33 (c) 34 (d) 36
  27. 27.What comes next? 20, 24, 28, 32, 36, ? (a) 40 (b) 41 (c) 39 (d) 44
  28. 28.What comes next? 18, 20, 22, 24, 26, ? (a) 28 (b) 27 (c) 30 (d) 29
  29. 29.What comes next? 74, 65, 56, 47, 38, ? (a) 28 (b) 20 (c) 30 (d) 29
  30. 30.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 45 (c) 90 (d) 72
  31. 31.What comes next? 6, 9, 7, 10, 8, 11, ? (a) 13 (b) 8 (c) 14 (d) 9
  32. 32.What comes next? 2, 11, 9, 18, 16, 25, ? (a) 27 (b) 23 (c) 22 (d) 34
  33. 33.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 160 (c) 200 (d) 120
  34. 34.What comes next? 6, 14, 7, 15, 8, 16, ? (a) 9 (b) 8 (c) 23 (d) 24
  35. 35.What comes next? 2, 7, 3, 8, 4, 9, ? (a) 13 (b) 14 (c) 5 (d) 4
  36. 36.What comes next? 5, 7, 10, 14, 19, ? (a) 27 (b) 25 (c) 24 (d) 26
  37. 37.What comes next? 39, 37, 35, 33, 31, ? (a) 27 (b) 28 (c) 30 (d) 29
  38. 38.What comes next? 49, 41, 33, 25, 17, ? (a) 8 (b) 9 (c) 10 (d) 1
  39. 39.What comes next? 30, 35, 40, 45, 50, ? (a) 60 (b) 55 (c) 54 (d) 56
  40. 40.What comes next? 10, 15, 11, 16, 12, 17, ? (a) 13 (b) 21 (c) 12 (d) 22

Answer key

  1. 12
  2. 34
  3. 11
  4. 28
  5. 2
  6. 30
  7. 32
  8. 64
  9. 128
  10. 192
  11. 43
  12. 21
  13. 34
  14. 19
  15. 42
  16. 45
  17. 243
  18. 52
  19. 96
  20. 30
  21. 17
  22. 33
  23. 8
  24. 2
  25. 39
  26. 34
  27. 40
  28. 28
  29. 29
  30. 81
  31. 9
  32. 23
  33. 160
  34. 9
  35. 5
  36. 25
  37. 29
  38. 9
  39. 55
  40. 13

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