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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 492 · 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) 144 (b) 180 (c) 90 (d) 162
  2. 2.What comes next? 7, 14, 13, 20, 19, 26, ? (a) 27 (b) 25 (c) 33 (d) 24
  3. 3.What comes next? 12, 15, 19, 24, 30, ? (a) 36 (b) 38 (c) 39 (d) 37
  4. 4.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 160 (c) 129 (d) 128
  5. 5.What comes next? 33, 31, 29, 27, 25, ? (a) 24 (b) 21 (c) 23 (d) 22
  6. 6.What comes next? 14, 24, 34, 44, 54, ? (a) 74 (b) 65 (c) 64 (d) 63
  7. 7.What comes next? 20, 17, 14, 11, 8, ? (a) 2 (b) 5 (c) 6 (d) 4
  8. 8.What comes next? 6, 13, 12, 19, 18, 25, ? (a) 32 (b) 24 (c) 26 (d) 23
  9. 9.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 72 (c) 45 (d) 90
  10. 10.What comes next? 1, 3, 6, 10, 15, ? (a) 20 (b) 21 (c) 22 (d) 23
  11. 11.What comes next? 2, 7, 3, 8, 4, 9, ? (a) 14 (b) 4 (c) 5 (d) 13
  12. 12.What comes next? 17, 22, 27, 32, 37, ? (a) 42 (b) 47 (c) 41 (d) 43
  13. 13.What comes next? 15, 19, 24, 30, 37, ? (a) 45 (b) 44 (c) 47 (d) 46
  14. 14.What comes next? 4, 7, 11, 16, 22, ? (a) 28 (b) 30 (c) 29 (d) 31
  15. 15.What comes next? 24, 29, 34, 39, 44, ? (a) 48 (b) 49 (c) 50 (d) 54
  16. 16.What comes next? 2, 5, 9, 14, 20, ? (a) 28 (b) 29 (c) 26 (d) 27
  17. 17.What comes next? 17, 21, 26, 32, 39, ? (a) 46 (b) 47 (c) 48 (d) 49
  18. 18.What comes next? 10, 14, 19, 25, 32, ? (a) 39 (b) 41 (c) 40 (d) 42
  19. 19.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 32 (c) 33 (d) 24
  20. 20.What comes next? 61, 54, 47, 40, 33, ? (a) 19 (b) 26 (c) 25 (d) 27
  21. 21.What comes next? 14, 16, 19, 23, 28, ? (a) 35 (b) 33 (c) 36 (d) 34
  22. 22.What comes next? 7, 8, 10, 13, 17, ? (a) 23 (b) 22 (c) 24 (d) 21
  23. 23.What comes next? 5, 8, 11, 14, 17, ? (a) 19 (b) 20 (c) 21 (d) 23
  24. 24.What comes next? 10, 13, 12, 15, 14, 17, ? (a) 18 (b) 15 (c) 16 (d) 20
  25. 25.What comes next? 19, 24, 29, 34, 39, ? (a) 43 (b) 44 (c) 49 (d) 45
  26. 26.What comes next? 50, 42, 34, 26, 18, ? (a) 11 (b) 9 (c) 2 (d) 10
  27. 27.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 135 (c) 216 (d) 243
  28. 28.What comes next? 2, 6, 3, 7, 4, 8, ? (a) 12 (b) 5 (c) 4 (d) 11
  29. 29.What comes next? 21, 18, 15, 12, 9, ? (a) 3 (b) 7 (c) 6 (d) 5
  30. 30.What comes next? 19, 22, 20, 23, 21, 24, ? (a) 26 (b) 22 (c) 27 (d) 21
  31. 31.What comes next? 11, 9, 7, 5, 3, ? (a) 4 (b) 3 (c) 1 (d) 2
  32. 32.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 200 (c) 160 (d) 120
  33. 33.What comes next? 36, 29, 22, 15, 8, ? (a) 4 (b) 1 (c) 3 (d) 2
  34. 34.What comes next? 57, 48, 39, 30, 21, ? (a) 13 (b) 3 (c) 11 (d) 12
  35. 35.What comes next? 5, 11, 7, 13, 9, 15, ? (a) 10 (b) 21 (c) 19 (d) 11
  36. 36.What comes next? 25, 34, 43, 52, 61, ? (a) 79 (b) 71 (c) 70 (d) 69
  37. 37.What comes next? 25, 28, 31, 34, 37, ? (a) 39 (b) 40 (c) 41 (d) 43
  38. 38.What comes next? 18, 19, 21, 24, 28, ? (a) 34 (b) 32 (c) 33 (d) 35
  39. 39.What comes next? 24, 20, 16, 12, 8, ? (a) 5 (b) 4 (c) 6 (d) 3
  40. 40.What comes next? 19, 25, 24, 30, 29, 35, ? (a) 36 (b) 33 (c) 41 (d) 34

Answer key

  1. 162
  2. 25
  3. 37
  4. 128
  5. 23
  6. 64
  7. 5
  8. 24
  9. 81
  10. 21
  11. 5
  12. 42
  13. 45
  14. 29
  15. 49
  16. 27
  17. 47
  18. 40
  19. 32
  20. 26
  21. 34
  22. 22
  23. 20
  24. 16
  25. 44
  26. 10
  27. 243
  28. 5
  29. 6
  30. 22
  31. 1
  32. 160
  33. 1
  34. 12
  35. 11
  36. 70
  37. 40
  38. 33
  39. 4
  40. 34

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