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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 998 · 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? 36, 34, 32, 30, 28, ? (a) 25 (b) 24 (c) 26 (d) 27
  2. 2.What comes next? 16, 18, 20, 22, 24, ? (a) 28 (b) 27 (c) 26 (d) 25
  3. 3.What comes next? 19, 30, 41, 52, 63, ? (a) 75 (b) 73 (c) 74 (d) 85
  4. 4.What comes next? 23, 20, 17, 14, 11, ? (a) 5 (b) 7 (c) 8 (d) 9
  5. 5.What comes next? 18, 21, 24, 27, 30, ? (a) 36 (b) 32 (c) 34 (d) 33
  6. 6.What comes next? 31, 26, 21, 16, 11, ? (a) 5 (b) 1 (c) 6 (d) 7
  7. 7.What comes next? 14, 16, 18, 20, 22, ? (a) 25 (b) 24 (c) 26 (d) 23
  8. 8.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 192 (c) 193 (d) 144
  9. 9.What comes next? 18, 27, 22, 31, 26, 35, ? (a) 40 (b) 44 (c) 30 (d) 29
  10. 10.What comes next? 49, 41, 33, 25, 17, ? (a) 1 (b) 9 (c) 10 (d) 8
  11. 11.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 90 (c) 180 (d) 162
  12. 12.What comes next? 11, 12, 14, 17, 21, ? (a) 28 (b) 26 (c) 27 (d) 25
  13. 13.What comes next? 45, 37, 29, 21, 13, ? (a) 5 (b) 7 (c) 6 (d) 4
  14. 14.What comes next? 14, 12, 10, 8, 6, ? (a) 2 (b) 4 (c) 5 (d) 3
  15. 15.What comes next? 17, 27, 37, 47, 57, ? (a) 66 (b) 68 (c) 77 (d) 67
  16. 16.What comes next? 6, 9, 13, 18, 24, ? (a) 33 (b) 31 (c) 32 (d) 30
  17. 17.What comes next? 3, 11, 19, 27, 35, ? (a) 44 (b) 51 (c) 42 (d) 43
  18. 18.What comes next? 25, 27, 29, 31, 33, ? (a) 37 (b) 34 (c) 35 (d) 36
  19. 19.What comes next? 6, 7, 9, 12, 16, ? (a) 23 (b) 20 (c) 21 (d) 22
  20. 20.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 81 (d) 45
  21. 21.What comes next? 9, 11, 14, 18, 23, ? (a) 31 (b) 29 (c) 28 (d) 30
  22. 22.What comes next? 22, 19, 16, 13, 10, ? (a) 8 (b) 7 (c) 4 (d) 6
  23. 23.What comes next? 41, 36, 31, 26, 21, ? (a) 17 (b) 11 (c) 16 (d) 15
  24. 24.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 216 (c) 135 (d) 270
  25. 25.What comes next? 29, 35, 41, 47, 53, ? (a) 60 (b) 58 (c) 65 (d) 59
  26. 26.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 96 (c) 129 (d) 128
  27. 27.What comes next? 3, 8, 6, 11, 9, 14, ? (a) 19 (b) 12 (c) 16 (d) 11
  28. 28.What comes next? 16, 24, 32, 40, 48, ? (a) 57 (b) 55 (c) 64 (d) 56
  29. 29.What comes next? 40, 38, 36, 34, 32, ? (a) 30 (b) 29 (c) 31 (d) 28
  30. 30.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 32 (d) 24
  31. 31.What comes next? 48, 44, 40, 36, 32, ? (a) 28 (b) 27 (c) 29 (d) 24
  32. 32.What comes next? 16, 20, 25, 31, 38, ? (a) 48 (b) 47 (c) 46 (d) 45
  33. 33.What comes next? 1, 4, 2, 5, 3, 6, ? (a) 9 (b) 4 (c) 8 (d) 3
  34. 34.What comes next? 18, 22, 27, 33, 40, ? (a) 47 (b) 48 (c) 50 (d) 49
  35. 35.What comes next? 74, 65, 56, 47, 38, ? (a) 30 (b) 28 (c) 29 (d) 20
  36. 36.What comes next? 11, 14, 13, 16, 15, 18, ? (a) 17 (b) 21 (c) 19 (d) 16
  37. 37.What comes next? 16, 23, 22, 29, 28, 35, ? (a) 34 (b) 36 (c) 33 (d) 42
  38. 38.What comes next? 46, 41, 36, 31, 26, ? (a) 20 (b) 16 (c) 22 (d) 21
  39. 39.What comes next? 10, 18, 11, 19, 12, 20, ? (a) 13 (b) 27 (c) 28 (d) 12
  40. 40.What comes next? 2, 6, 11, 17, 24, ? (a) 34 (b) 33 (c) 32 (d) 31

Answer key

  1. 26
  2. 26
  3. 74
  4. 8
  5. 33
  6. 6
  7. 24
  8. 192
  9. 30
  10. 9
  11. 162
  12. 26
  13. 5
  14. 4
  15. 67
  16. 31
  17. 43
  18. 35
  19. 21
  20. 81
  21. 29
  22. 7
  23. 16
  24. 243
  25. 59
  26. 128
  27. 12
  28. 56
  29. 30
  30. 32
  31. 28
  32. 46
  33. 4
  34. 48
  35. 29
  36. 17
  37. 34
  38. 21
  39. 13
  40. 32

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