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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 290 · 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? 3, 9, 27, 81, ? (a) 270 (b) 216 (c) 243 (d) 135
  2. 2.What comes next? 1, 4, 8, 13, 19, ? (a) 26 (b) 25 (c) 27 (d) 28
  3. 3.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 65 (c) 64 (d) 80
  4. 4.What comes next? 9, 11, 14, 18, 23, ? (a) 31 (b) 28 (c) 30 (d) 29
  5. 5.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 160 (c) 129 (d) 128
  6. 6.What comes next? 69, 60, 51, 42, 33, ? (a) 25 (b) 23 (c) 15 (d) 24
  7. 7.What comes next? 18, 15, 12, 9, 6, ? (a) 4 (b) 2 (c) 3 (d) 5
  8. 8.What comes next? 20, 23, 26, 29, 32, ? (a) 38 (b) 36 (c) 34 (d) 35
  9. 9.What comes next? 63, 54, 45, 36, 27, ? (a) 17 (b) 19 (c) 18 (d) 9
  10. 10.What comes next? 33, 28, 23, 18, 13, ? (a) 8 (b) 7 (c) 3 (d) 9
  11. 11.What comes next? 13, 14, 16, 19, 23, ? (a) 30 (b) 29 (c) 28 (d) 27
  12. 12.What comes next? 49, 41, 33, 25, 17, ? (a) 8 (b) 1 (c) 9 (d) 10
  13. 13.What comes next? 17, 21, 26, 32, 39, ? (a) 49 (b) 47 (c) 48 (d) 46
  14. 14.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 144 (c) 193 (d) 192
  15. 15.What comes next? 48, 40, 32, 24, 16, ? (a) 7 (b) 9 (c) 8 (d) 10
  16. 16.What comes next? 42, 38, 34, 30, 26, ? (a) 22 (b) 18 (c) 21 (d) 23
  17. 17.What comes next? 1, 2, 4, 7, 11, ? (a) 18 (b) 17 (c) 16 (d) 15
  18. 18.What comes next? 51, 43, 35, 27, 19, ? (a) 12 (b) 11 (c) 3 (d) 10
  19. 19.What comes next? 16, 22, 20, 26, 24, 30, ? (a) 27 (b) 28 (c) 32 (d) 36
  20. 20.What comes next? 20, 26, 24, 30, 28, 34, ? (a) 31 (b) 32 (c) 36 (d) 40
  21. 21.What comes next? 70, 62, 54, 46, 38, ? (a) 22 (b) 31 (c) 29 (d) 30
  22. 22.What comes next? 5, 14, 12, 21, 19, 28, ? (a) 26 (b) 30 (c) 37 (d) 25
  23. 23.What comes next? 38, 32, 26, 20, 14, ? (a) 9 (b) 7 (c) 2 (d) 8
  24. 24.What comes next? 15, 19, 16, 20, 17, 21, ? (a) 17 (b) 18 (c) 25 (d) 24
  25. 25.What comes next? 17, 26, 35, 44, 53, ? (a) 71 (b) 63 (c) 62 (d) 61
  26. 26.What comes next? 4, 7, 11, 16, 22, ? (a) 31 (b) 30 (c) 28 (d) 29
  27. 27.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 81 (c) 72 (d) 45
  28. 28.What comes next? 17, 14, 11, 8, 5, ? (a) 3 (b) 4 (c) 2 (d) 1
  29. 29.What comes next? 24, 21, 18, 15, 12, ? (a) 8 (b) 10 (c) 6 (d) 9
  30. 30.What comes next? 7, 10, 9, 12, 11, 14, ? (a) 17 (b) 15 (c) 13 (d) 12
  31. 31.What comes next? 30, 39, 48, 57, 66, ? (a) 76 (b) 74 (c) 84 (d) 75
  32. 32.What comes next? 20, 18, 16, 14, 12, ? (a) 10 (b) 8 (c) 9 (d) 11
  33. 33.What comes next? 4, 14, 24, 34, 44, ? (a) 53 (b) 64 (c) 54 (d) 55
  34. 34.What comes next? 10, 19, 12, 21, 14, 23, ? (a) 16 (b) 32 (c) 30 (d) 15
  35. 35.What comes next? 28, 31, 34, 37, 40, ? (a) 42 (b) 44 (c) 43 (d) 46
  36. 36.What comes next? 8, 13, 18, 23, 28, ? (a) 38 (b) 32 (c) 34 (d) 33
  37. 37.What comes next? 24, 29, 34, 39, 44, ? (a) 54 (b) 48 (c) 50 (d) 49
  38. 38.What comes next? 10, 14, 12, 16, 14, 18, ? (a) 22 (b) 16 (c) 20 (d) 15
  39. 39.What comes next? 7, 16, 13, 22, 19, 28, ? (a) 31 (b) 37 (c) 24 (d) 25
  40. 40.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 144 (c) 162 (d) 180

Answer key

  1. 243
  2. 26
  3. 64
  4. 29
  5. 128
  6. 24
  7. 3
  8. 35
  9. 18
  10. 8
  11. 28
  12. 9
  13. 47
  14. 192
  15. 8
  16. 22
  17. 16
  18. 11
  19. 28
  20. 32
  21. 30
  22. 26
  23. 8
  24. 18
  25. 62
  26. 29
  27. 81
  28. 2
  29. 9
  30. 13
  31. 75
  32. 10
  33. 54
  34. 16
  35. 43
  36. 33
  37. 49
  38. 16
  39. 25
  40. 162

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