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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 417 · 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? 9, 17, 25, 33, 41, ? (a) 50 (b) 48 (c) 57 (d) 49
  2. 2.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 128 (c) 96 (d) 129
  3. 3.What comes next? 71, 62, 53, 44, 35, ? (a) 25 (b) 26 (c) 17 (d) 27
  4. 4.What comes next? 18, 16, 14, 12, 10, ? (a) 9 (b) 7 (c) 8 (d) 6
  5. 5.What comes next? 3, 10, 9, 16, 15, 22, ? (a) 21 (b) 23 (c) 29 (d) 20
  6. 6.What comes next? 28, 31, 34, 37, 40, ? (a) 43 (b) 46 (c) 42 (d) 44
  7. 7.What comes next? 54, 46, 38, 30, 22, ? (a) 14 (b) 13 (c) 6 (d) 15
  8. 8.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 65 (c) 80 (d) 64
  9. 9.What comes next? 14, 12, 10, 8, 6, ? (a) 4 (b) 5 (c) 2 (d) 3
  10. 10.What comes next? 11, 20, 14, 23, 17, 26, ? (a) 32 (b) 19 (c) 20 (d) 35
  11. 11.What comes next? 9, 16, 23, 30, 37, ? (a) 43 (b) 45 (c) 51 (d) 44
  12. 12.What comes next? 11, 18, 17, 24, 23, 30, ? (a) 31 (b) 37 (c) 28 (d) 29
  13. 13.What comes next? 2, 4, 7, 11, 16, ? (a) 23 (b) 21 (c) 24 (d) 22
  14. 14.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 72 (c) 90 (d) 81
  15. 15.What comes next? 62, 54, 46, 38, 30, ? (a) 21 (b) 23 (c) 22 (d) 14
  16. 16.What comes next? 68, 59, 50, 41, 32, ? (a) 24 (b) 22 (c) 14 (d) 23
  17. 17.What comes next? 4, 9, 14, 19, 24, ? (a) 34 (b) 30 (c) 28 (d) 29
  18. 18.What comes next? 12, 20, 17, 25, 22, 30, ? (a) 38 (b) 26 (c) 27 (d) 33
  19. 19.What comes next? 10, 15, 14, 19, 18, 23, ? (a) 21 (b) 28 (c) 22 (d) 24
  20. 20.What comes next? 21, 24, 27, 30, 33, ? (a) 37 (b) 36 (c) 39 (d) 35
  21. 21.What comes next? 9, 13, 17, 21, 25, ? (a) 29 (b) 30 (c) 28 (d) 33
  22. 22.What comes next? 11, 17, 23, 29, 35, ? (a) 47 (b) 42 (c) 41 (d) 40
  23. 23.What comes next? 4, 13, 22, 31, 40, ? (a) 48 (b) 58 (c) 50 (d) 49
  24. 24.What comes next? 9, 13, 18, 24, 31, ? (a) 38 (b) 40 (c) 39 (d) 41
  25. 25.What comes next? 7, 17, 27, 37, 47, ? (a) 67 (b) 58 (c) 56 (d) 57
  26. 26.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 193 (c) 192 (d) 144
  27. 27.What comes next? 16, 19, 18, 21, 20, 23, ? (a) 24 (b) 26 (c) 22 (d) 21
  28. 28.What comes next? 20, 22, 25, 29, 34, ? (a) 42 (b) 39 (c) 41 (d) 40
  29. 29.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 162 (c) 90 (d) 144
  30. 30.What comes next? 11, 12, 14, 17, 21, ? (a) 27 (b) 25 (c) 26 (d) 28
  31. 31.What comes next? 39, 36, 33, 30, 27, ? (a) 23 (b) 24 (c) 25 (d) 21
  32. 32.What comes next? 18, 22, 27, 33, 40, ? (a) 47 (b) 48 (c) 49 (d) 50
  33. 33.What comes next? 29, 33, 37, 41, 45, ? (a) 50 (b) 49 (c) 53 (d) 48
  34. 34.What comes next? 16, 20, 17, 21, 18, 22, ? (a) 18 (b) 26 (c) 19 (d) 25
  35. 35.What comes next? 18, 15, 12, 9, 6, ? (a) 2 (b) 4 (c) 3 (d) 5
  36. 36.What comes next? 3, 4, 6, 9, 13, ? (a) 19 (b) 18 (c) 17 (d) 20
  37. 37.What comes next? 51, 46, 41, 36, 31, ? (a) 27 (b) 21 (c) 26 (d) 25
  38. 38.What comes next? 11, 19, 13, 21, 15, 23, ? (a) 16 (b) 29 (c) 17 (d) 31
  39. 39.What comes next? 13, 22, 19, 28, 25, 34, ? (a) 30 (b) 43 (c) 31 (d) 37
  40. 40.What comes next? 3, 8, 7, 12, 11, 16, ? (a) 17 (b) 21 (c) 14 (d) 15

Answer key

  1. 49
  2. 128
  3. 26
  4. 8
  5. 21
  6. 43
  7. 14
  8. 64
  9. 4
  10. 20
  11. 44
  12. 29
  13. 22
  14. 81
  15. 22
  16. 23
  17. 29
  18. 27
  19. 22
  20. 36
  21. 29
  22. 41
  23. 49
  24. 39
  25. 57
  26. 192
  27. 22
  28. 40
  29. 162
  30. 26
  31. 24
  32. 48
  33. 49
  34. 19
  35. 3
  36. 18
  37. 26
  38. 17
  39. 31
  40. 15

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