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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 420 · 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? 2, 6, 18, 54, ? (a) 180 (b) 162 (c) 90 (d) 144
  2. 2.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 32 (c) 24 (d) 40
  3. 3.What comes next? 26, 32, 38, 44, 50, ? (a) 57 (b) 56 (c) 55 (d) 62
  4. 4.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 96 (c) 128 (d) 160
  5. 5.What comes next? 9, 14, 19, 24, 29, ? (a) 34 (b) 39 (c) 33 (d) 35
  6. 6.What comes next? 6, 14, 8, 16, 10, 18, ? (a) 12 (b) 26 (c) 24 (d) 11
  7. 7.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 216 (c) 243 (d) 135
  8. 8.What comes next? 7, 10, 8, 11, 9, 12, ? (a) 10 (b) 14 (c) 9 (d) 15
  9. 9.What comes next? 62, 55, 48, 41, 34, ? (a) 20 (b) 27 (c) 26 (d) 28
  10. 10.What comes next? 17, 15, 13, 11, 9, ? (a) 6 (b) 8 (c) 7 (d) 5
  11. 11.What comes next? 8, 12, 10, 14, 12, 16, ? (a) 18 (b) 13 (c) 20 (d) 14
  12. 12.What comes next? 72, 63, 54, 45, 36, ? (a) 27 (b) 28 (c) 26 (d) 18
  13. 13.What comes next? 34, 28, 22, 16, 10, ? (a) 3 (b) 6 (c) 5 (d) 4
  14. 14.What comes next? 16, 22, 17, 23, 18, 24, ? (a) 19 (b) 30 (c) 29 (d) 18
  15. 15.What comes next? 55, 48, 41, 34, 27, ? (a) 13 (b) 19 (c) 21 (d) 20
  16. 16.What comes next? 47, 39, 31, 23, 15, ? (a) 6 (b) 7 (c) 8 (d) 9
  17. 17.What comes next? 2, 8, 14, 20, 26, ? (a) 33 (b) 31 (c) 32 (d) 38
  18. 18.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 96 (c) 120 (d) 97
  19. 19.What comes next? 16, 17, 19, 22, 26, ? (a) 32 (b) 33 (c) 31 (d) 30
  20. 20.What comes next? 2, 9, 16, 23, 30, ? (a) 36 (b) 37 (c) 38 (d) 44
  21. 21.What comes next? 9, 17, 11, 19, 13, 21, ? (a) 29 (b) 15 (c) 27 (d) 14
  22. 22.What comes next? 9, 11, 14, 18, 23, ? (a) 31 (b) 28 (c) 29 (d) 30
  23. 23.What comes next? 31, 25, 19, 13, 7, ? (a) 3 (b) 2 (c) 1 (d) 4
  24. 24.What comes next? 32, 29, 26, 23, 20, ? (a) 16 (b) 18 (c) 14 (d) 17
  25. 25.What comes next? 11, 19, 17, 25, 23, 31, ? (a) 33 (b) 29 (c) 39 (d) 28
  26. 26.What comes next? 15, 22, 17, 24, 19, 26, ? (a) 33 (b) 20 (c) 21 (d) 31
  27. 27.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 45 (c) 72 (d) 90
  28. 28.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 48 (c) 65 (d) 64
  29. 29.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 240 (c) 192 (d) 144
  30. 30.What comes next? 18, 23, 22, 27, 26, 31, ? (a) 29 (b) 32 (c) 30 (d) 36
  31. 31.What comes next? 20, 21, 23, 26, 30, ? (a) 37 (b) 35 (c) 34 (d) 36
  32. 32.What comes next? 43, 39, 35, 31, 27, ? (a) 22 (b) 23 (c) 24 (d) 19
  33. 33.What comes next? 14, 16, 19, 23, 28, ? (a) 33 (b) 36 (c) 35 (d) 34
  34. 34.What comes next? 18, 21, 20, 23, 22, 25, ? (a) 28 (b) 24 (c) 26 (d) 23
  35. 35.What comes next? 5, 6, 8, 11, 15, ? (a) 19 (b) 21 (c) 20 (d) 22
  36. 36.What comes next? 17, 18, 20, 23, 27, ? (a) 34 (b) 33 (c) 31 (d) 32
  37. 37.What comes next? 10, 15, 20, 25, 30, ? (a) 40 (b) 34 (c) 36 (d) 35
  38. 38.What comes next? 7, 10, 14, 19, 25, ? (a) 34 (b) 31 (c) 33 (d) 32
  39. 39.What comes next? 26, 29, 32, 35, 38, ? (a) 44 (b) 40 (c) 41 (d) 42
  40. 40.What comes next? 23, 27, 31, 35, 39, ? (a) 44 (b) 42 (c) 47 (d) 43

Answer key

  1. 162
  2. 32
  3. 56
  4. 128
  5. 34
  6. 12
  7. 243
  8. 10
  9. 27
  10. 7
  11. 14
  12. 27
  13. 4
  14. 19
  15. 20
  16. 7
  17. 32
  18. 96
  19. 31
  20. 37
  21. 15
  22. 29
  23. 1
  24. 17
  25. 29
  26. 21
  27. 81
  28. 64
  29. 192
  30. 30
  31. 35
  32. 23
  33. 34
  34. 24
  35. 20
  36. 32
  37. 35
  38. 32
  39. 41
  40. 43

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