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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 274 · 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? 1, 3, 9, 27, ? (a) 72 (b) 45 (c) 81 (d) 90
  2. 2.What comes next? 7, 15, 23, 31, 39, ? (a) 47 (b) 48 (c) 46 (d) 55
  3. 3.What comes next? 54, 45, 36, 27, 18, ? (a) 8 (b) 11 (c) 10 (d) 9
  4. 4.What comes next? 2, 6, 11, 17, 24, ? (a) 31 (b) 34 (c) 33 (d) 32
  5. 5.What comes next? 2, 5, 9, 14, 20, ? (a) 29 (b) 28 (c) 26 (d) 27
  6. 6.What comes next? 42, 36, 30, 24, 18, ? (a) 11 (b) 6 (c) 13 (d) 12
  7. 7.What comes next? 22, 24, 26, 28, 30, ? (a) 34 (b) 31 (c) 33 (d) 32
  8. 8.What comes next? 15, 19, 23, 27, 31, ? (a) 35 (b) 34 (c) 39 (d) 36
  9. 9.What comes next? 41, 33, 25, 17, 9, ? (a) 2 (b) 4 (c) 3 (d) 1
  10. 10.What comes next? 7, 14, 8, 15, 9, 16, ? (a) 22 (b) 10 (c) 23 (d) 9
  11. 11.What comes next? 18, 22, 27, 33, 40, ? (a) 47 (b) 48 (c) 49 (d) 50
  12. 12.What comes next? 3, 8, 13, 18, 23, ? (a) 28 (b) 29 (c) 33 (d) 27
  13. 13.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 97 (c) 120 (d) 72
  14. 14.What comes next? 8, 12, 11, 15, 14, 18, ? (a) 19 (b) 17 (c) 22 (d) 16
  15. 15.What comes next? 28, 32, 36, 40, 44, ? (a) 52 (b) 48 (c) 47 (d) 49
  16. 16.What comes next? 3, 7, 11, 15, 19, ? (a) 24 (b) 22 (c) 23 (d) 27
  17. 17.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 24 (c) 40 (d) 33
  18. 18.What comes next? 51, 45, 39, 33, 27, ? (a) 20 (b) 21 (c) 15 (d) 22
  19. 19.What comes next? 29, 35, 41, 47, 53, ? (a) 65 (b) 60 (c) 58 (d) 59
  20. 20.What comes next? 38, 33, 28, 23, 18, ? (a) 14 (b) 12 (c) 8 (d) 13
  21. 21.What comes next? 7, 11, 16, 22, 29, ? (a) 39 (b) 36 (c) 37 (d) 38
  22. 22.What comes next? 2, 3, 5, 8, 12, ? (a) 18 (b) 19 (c) 16 (d) 17
  23. 23.What comes next? 42, 39, 36, 33, 30, ? (a) 24 (b) 28 (c) 27 (d) 26
  24. 24.What comes next? 11, 13, 16, 20, 25, ? (a) 33 (b) 32 (c) 31 (d) 30
  25. 25.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 65 (c) 80 (d) 48
  26. 26.What comes next? 4, 13, 22, 31, 40, ? (a) 48 (b) 58 (c) 50 (d) 49
  27. 27.What comes next? 20, 26, 22, 28, 24, 30, ? (a) 26 (b) 25 (c) 36 (d) 34
  28. 28.What comes next? 3, 6, 10, 15, 21, ? (a) 29 (b) 27 (c) 30 (d) 28
  29. 29.What comes next? 10, 12, 15, 19, 24, ? (a) 29 (b) 31 (c) 32 (d) 30
  30. 30.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 192 (c) 144 (d) 193
  31. 31.What comes next? 45, 39, 33, 27, 21, ? (a) 14 (b) 16 (c) 9 (d) 15
  32. 32.What comes next? 19, 20, 22, 25, 29, ? (a) 33 (b) 36 (c) 35 (d) 34
  33. 33.What comes next? 7, 10, 13, 16, 19, ? (a) 21 (b) 23 (c) 22 (d) 25
  34. 34.What comes next? 17, 18, 20, 23, 27, ? (a) 34 (b) 33 (c) 31 (d) 32
  35. 35.What comes next? 7, 9, 12, 16, 21, ? (a) 27 (b) 29 (c) 28 (d) 26
  36. 36.What comes next? 23, 20, 17, 14, 11, ? (a) 5 (b) 9 (c) 8 (d) 7
  37. 37.What comes next? 29, 25, 21, 17, 13, ? (a) 5 (b) 10 (c) 9 (d) 8
  38. 38.What comes next? 20, 23, 27, 32, 38, ? (a) 45 (b) 47 (c) 46 (d) 44
  39. 39.What comes next? 18, 24, 30, 36, 42, ? (a) 49 (b) 54 (c) 48 (d) 47
  40. 40.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 90 (c) 180 (d) 144

Answer key

  1. 81
  2. 47
  3. 9
  4. 32
  5. 27
  6. 12
  7. 32
  8. 35
  9. 1
  10. 10
  11. 48
  12. 28
  13. 96
  14. 17
  15. 48
  16. 23
  17. 32
  18. 21
  19. 59
  20. 13
  21. 37
  22. 17
  23. 27
  24. 31
  25. 64
  26. 49
  27. 26
  28. 28
  29. 30
  30. 192
  31. 15
  32. 34
  33. 22
  34. 32
  35. 27
  36. 8
  37. 9
  38. 45
  39. 48
  40. 162

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