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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 197 · 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? 29, 37, 45, 53, 61, ? (a) 68 (b) 70 (c) 69 (d) 77
  2. 2.What comes next? 35, 31, 27, 23, 19, ? (a) 15 (b) 16 (c) 14 (d) 11
  3. 3.What comes next? 37, 33, 29, 25, 21, ? (a) 16 (b) 17 (c) 18 (d) 13
  4. 4.What comes next? 2, 3, 5, 8, 12, ? (a) 19 (b) 18 (c) 16 (d) 17
  5. 5.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 32 (d) 24
  6. 6.What comes next? 8, 14, 9, 15, 10, 16, ? (a) 10 (b) 11 (c) 22 (d) 21
  7. 7.What comes next? 9, 16, 23, 30, 37, ? (a) 51 (b) 45 (c) 43 (d) 44
  8. 8.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 243 (d) 135
  9. 9.What comes next? 12, 15, 19, 24, 30, ? (a) 39 (b) 36 (c) 37 (d) 38
  10. 10.What comes next? 18, 23, 28, 33, 38, ? (a) 44 (b) 42 (c) 48 (d) 43
  11. 11.What comes next? 4, 7, 6, 9, 8, 11, ? (a) 12 (b) 9 (c) 14 (d) 10
  12. 12.What comes next? 12, 15, 18, 21, 24, ? (a) 28 (b) 27 (c) 26 (d) 30
  13. 13.What comes next? 2, 6, 4, 8, 6, 10, ? (a) 14 (b) 7 (c) 8 (d) 12
  14. 14.What comes next? 29, 32, 35, 38, 41, ? (a) 44 (b) 47 (c) 45 (d) 43
  15. 15.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 120 (c) 160 (d) 200
  16. 16.What comes next? 17, 18, 20, 23, 27, ? (a) 33 (b) 32 (c) 31 (d) 34
  17. 17.What comes next? 38, 32, 26, 20, 14, ? (a) 2 (b) 7 (c) 8 (d) 9
  18. 18.What comes next? 6, 8, 11, 15, 20, ? (a) 27 (b) 25 (c) 28 (d) 26
  19. 19.What comes next? 28, 35, 42, 49, 56, ? (a) 62 (b) 70 (c) 64 (d) 63
  20. 20.What comes next? 58, 52, 46, 40, 34, ? (a) 27 (b) 28 (c) 22 (d) 29
  21. 21.What comes next? 11, 16, 13, 18, 15, 20, ? (a) 25 (b) 23 (c) 17 (d) 16
  22. 22.What comes next? 39, 37, 35, 33, 31, ? (a) 27 (b) 28 (c) 30 (d) 29
  23. 23.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 240 (c) 144 (d) 192
  24. 24.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 90 (c) 144 (d) 180
  25. 25.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 72 (c) 45 (d) 90
  26. 26.What comes next? 5, 10, 6, 11, 7, 12, ? (a) 17 (b) 8 (c) 7 (d) 16
  27. 27.What comes next? 4, 6, 9, 13, 18, ? (a) 23 (b) 26 (c) 25 (d) 24
  28. 28.What comes next? 7, 15, 14, 22, 21, 29, ? (a) 28 (b) 30 (c) 27 (d) 37
  29. 29.What comes next? 30, 28, 26, 24, 22, ? (a) 20 (b) 18 (c) 19 (d) 21
  30. 30.What comes next? 5, 7, 9, 11, 13, ? (a) 14 (b) 15 (c) 16 (d) 17
  31. 31.What comes next? 9, 12, 10, 13, 11, 14, ? (a) 11 (b) 16 (c) 12 (d) 17
  32. 32.What comes next? 1, 5, 2, 6, 3, 7, ? (a) 10 (b) 11 (c) 4 (d) 3
  33. 33.What comes next? 20, 18, 16, 14, 12, ? (a) 9 (b) 8 (c) 10 (d) 11
  34. 34.What comes next? 18, 28, 38, 48, 58, ? (a) 69 (b) 78 (c) 67 (d) 68
  35. 35.What comes next? 55, 48, 41, 34, 27, ? (a) 13 (b) 20 (c) 21 (d) 19
  36. 36.What comes next? 74, 65, 56, 47, 38, ? (a) 30 (b) 28 (c) 29 (d) 20
  37. 37.What comes next? 8, 10, 13, 17, 22, ? (a) 27 (b) 28 (c) 30 (d) 29
  38. 38.What comes next? 22, 19, 16, 13, 10, ? (a) 6 (b) 8 (c) 7 (d) 4
  39. 39.What comes next? 1, 3, 6, 10, 15, ? (a) 23 (b) 22 (c) 20 (d) 21
  40. 40.What comes next? 19, 25, 31, 37, 43, ? (a) 49 (b) 55 (c) 48 (d) 50

Answer key

  1. 69
  2. 15
  3. 17
  4. 17
  5. 32
  6. 11
  7. 44
  8. 243
  9. 37
  10. 43
  11. 10
  12. 27
  13. 8
  14. 44
  15. 160
  16. 32
  17. 8
  18. 26
  19. 63
  20. 28
  21. 17
  22. 29
  23. 192
  24. 162
  25. 81
  26. 8
  27. 24
  28. 28
  29. 20
  30. 15
  31. 12
  32. 4
  33. 10
  34. 68
  35. 20
  36. 29
  37. 28
  38. 7
  39. 21
  40. 49

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