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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 580 · 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? 17, 15, 13, 11, 9, ? (a) 8 (b) 6 (c) 7 (d) 5
  2. 2.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 45 (d) 81
  3. 3.What comes next? 49, 44, 39, 34, 29, ? (a) 25 (b) 23 (c) 19 (d) 24
  4. 4.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 160 (c) 120 (d) 200
  5. 5.What comes next? 63, 56, 49, 42, 35, ? (a) 21 (b) 29 (c) 27 (d) 28
  6. 6.What comes next? 15, 20, 17, 22, 19, 24, ? (a) 27 (b) 20 (c) 29 (d) 21
  7. 7.What comes next? 47, 39, 31, 23, 15, ? (a) 8 (b) 6 (c) 9 (d) 7
  8. 8.What comes next? 40, 37, 34, 31, 28, ? (a) 22 (b) 26 (c) 24 (d) 25
  9. 9.What comes next? 44, 36, 28, 20, 12, ? (a) 6 (b) 5 (c) 3 (d) 4
  10. 10.What comes next? 29, 25, 21, 17, 13, ? (a) 10 (b) 8 (c) 9 (d) 5
  11. 11.What comes next? 3, 10, 5, 12, 7, 14, ? (a) 19 (b) 8 (c) 9 (d) 21
  12. 12.What comes next? 22, 20, 18, 16, 14, ? (a) 10 (b) 13 (c) 12 (d) 11
  13. 13.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 24 (c) 33 (d) 40
  14. 14.What comes next? 14, 21, 18, 25, 22, 29, ? (a) 36 (b) 26 (c) 25 (d) 32
  15. 15.What comes next? 36, 29, 22, 15, 8, ? (a) 2 (b) 4 (c) 3 (d) 1
  16. 16.What comes next? 12, 17, 22, 27, 32, ? (a) 36 (b) 38 (c) 37 (d) 42
  17. 17.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 72 (c) 96 (d) 97
  18. 18.What comes next? 3, 10, 17, 24, 31, ? (a) 39 (b) 38 (c) 45 (d) 37
  19. 19.What comes next? 72, 63, 54, 45, 36, ? (a) 26 (b) 28 (c) 18 (d) 27
  20. 20.What comes next? 26, 24, 22, 20, 18, ? (a) 17 (b) 16 (c) 14 (d) 15
  21. 21.What comes next? 3, 15, 27, 39, 51, ? (a) 64 (b) 62 (c) 75 (d) 63
  22. 22.What comes next? 19, 22, 25, 28, 31, ? (a) 34 (b) 37 (c) 35 (d) 33
  23. 23.What comes next? 24, 30, 36, 42, 48, ? (a) 60 (b) 53 (c) 55 (d) 54
  24. 24.What comes next? 10, 14, 11, 15, 12, 16, ? (a) 19 (b) 12 (c) 20 (d) 13
  25. 25.What comes next? 45, 40, 35, 30, 25, ? (a) 19 (b) 21 (c) 20 (d) 15
  26. 26.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 64 (c) 80 (d) 48
  27. 27.What comes next? 30, 27, 24, 21, 18, ? (a) 12 (b) 16 (c) 14 (d) 15
  28. 28.What comes next? 17, 25, 19, 27, 21, 29, ? (a) 22 (b) 35 (c) 37 (d) 23
  29. 29.What comes next? 12, 14, 16, 18, 20, ? (a) 21 (b) 22 (c) 23 (d) 24
  30. 30.What comes next? 30, 37, 44, 51, 58, ? (a) 65 (b) 66 (c) 64 (d) 72
  31. 31.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 144 (c) 192 (d) 193
  32. 32.What comes next? 20, 23, 27, 32, 38, ? (a) 44 (b) 45 (c) 46 (d) 47
  33. 33.What comes next? 17, 20, 24, 29, 35, ? (a) 41 (b) 44 (c) 43 (d) 42
  34. 34.What comes next? 47, 40, 33, 26, 19, ? (a) 11 (b) 12 (c) 5 (d) 13
  35. 35.What comes next? 15, 21, 19, 25, 23, 29, ? (a) 27 (b) 31 (c) 35 (d) 26
  36. 36.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 180 (c) 90 (d) 144
  37. 37.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 135 (c) 216 (d) 243
  38. 38.What comes next? 16, 25, 34, 43, 52, ? (a) 62 (b) 60 (c) 61 (d) 70
  39. 39.What comes next? 1, 2, 4, 7, 11, ? (a) 15 (b) 18 (c) 17 (d) 16
  40. 40.What comes next? 4, 7, 11, 16, 22, ? (a) 30 (b) 29 (c) 28 (d) 31

Answer key

  1. 7
  2. 81
  3. 24
  4. 160
  5. 28
  6. 21
  7. 7
  8. 25
  9. 4
  10. 9
  11. 9
  12. 12
  13. 32
  14. 26
  15. 1
  16. 37
  17. 96
  18. 38
  19. 27
  20. 16
  21. 63
  22. 34
  23. 54
  24. 13
  25. 20
  26. 64
  27. 15
  28. 23
  29. 22
  30. 65
  31. 192
  32. 45
  33. 42
  34. 12
  35. 27
  36. 162
  37. 243
  38. 61
  39. 16
  40. 29

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