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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 726 · 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? 12, 13, 15, 18, 22, ? (a) 26 (b) 27 (c) 29 (d) 28
  2. 2.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 135 (c) 216 (d) 243
  3. 3.What comes next? 6, 7, 9, 12, 16, ? (a) 23 (b) 20 (c) 21 (d) 22
  4. 4.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 120 (c) 200 (d) 160
  5. 5.What comes next? 22, 19, 16, 13, 10, ? (a) 8 (b) 6 (c) 4 (d) 7
  6. 6.What comes next? 3, 14, 25, 36, 47, ? (a) 58 (b) 69 (c) 57 (d) 59
  7. 7.What comes next? 57, 48, 39, 30, 21, ? (a) 11 (b) 3 (c) 12 (d) 13
  8. 8.What comes next? 34, 28, 22, 16, 10, ? (a) 3 (b) 4 (c) 6 (d) 5
  9. 9.What comes next? 64, 57, 50, 43, 36, ? (a) 30 (b) 29 (c) 28 (d) 22
  10. 10.What comes next? 45, 42, 39, 36, 33, ? (a) 27 (b) 31 (c) 29 (d) 30
  11. 11.What comes next? 10, 13, 17, 22, 28, ? (a) 34 (b) 35 (c) 37 (d) 36
  12. 12.What comes next? 12, 20, 15, 23, 18, 26, ? (a) 31 (b) 20 (c) 21 (d) 34
  13. 13.What comes next? 1, 2, 4, 7, 11, ? (a) 16 (b) 15 (c) 18 (d) 17
  14. 14.What comes next? 6, 12, 18, 24, 30, ? (a) 37 (b) 36 (c) 35 (d) 42
  15. 15.What comes next? 5, 13, 12, 20, 19, 27, ? (a) 26 (b) 25 (c) 28 (d) 35
  16. 16.What comes next? 17, 22, 27, 32, 37, ? (a) 47 (b) 42 (c) 41 (d) 43
  17. 17.What comes next? 6, 13, 11, 18, 16, 23, ? (a) 20 (b) 30 (c) 21 (d) 25
  18. 18.What comes next? 15, 16, 18, 21, 25, ? (a) 29 (b) 30 (c) 31 (d) 32
  19. 19.What comes next? 3, 8, 6, 11, 9, 14, ? (a) 16 (b) 19 (c) 11 (d) 12
  20. 20.What comes next? 24, 22, 20, 18, 16, ? (a) 13 (b) 15 (c) 12 (d) 14
  21. 21.What comes next? 7, 12, 17, 22, 27, ? (a) 37 (b) 31 (c) 33 (d) 32
  22. 22.What comes next? 28, 23, 18, 13, 8, ? (a) 2 (b) 4 (c) 3 (d) 5
  23. 23.What comes next? 16, 20, 25, 31, 38, ? (a) 46 (b) 45 (c) 47 (d) 48
  24. 24.What comes next? 17, 25, 18, 26, 19, 27, ? (a) 35 (b) 20 (c) 19 (d) 34
  25. 25.What comes next? 14, 16, 18, 20, 22, ? (a) 24 (b) 25 (c) 23 (d) 26
  26. 26.What comes next? 5, 14, 23, 32, 41, ? (a) 51 (b) 49 (c) 50 (d) 59
  27. 27.What comes next? 43, 35, 27, 19, 11, ? (a) 3 (b) 5 (c) 4 (d) 2
  28. 28.What comes next? 58, 52, 46, 40, 34, ? (a) 29 (b) 22 (c) 27 (d) 28
  29. 29.What comes next? 14, 26, 38, 50, 62, ? (a) 74 (b) 75 (c) 73 (d) 86
  30. 30.What comes next? 4, 6, 9, 13, 18, ? (a) 24 (b) 26 (c) 25 (d) 23
  31. 31.What comes next? 7, 16, 25, 34, 43, ? (a) 51 (b) 52 (c) 53 (d) 61
  32. 32.What comes next? 53, 48, 43, 38, 33, ? (a) 28 (b) 27 (c) 23 (d) 29
  33. 33.What comes next? 3, 7, 6, 10, 9, 13, ? (a) 17 (b) 12 (c) 14 (d) 11
  34. 34.What comes next? 18, 23, 22, 27, 26, 31, ? (a) 29 (b) 36 (c) 30 (d) 32
  35. 35.What comes next? 3, 7, 12, 18, 25, ? (a) 35 (b) 32 (c) 33 (d) 34
  36. 36.What comes next? 25, 33, 41, 49, 57, ? (a) 66 (b) 65 (c) 64 (d) 73
  37. 37.What comes next? 42, 36, 30, 24, 18, ? (a) 12 (b) 6 (c) 13 (d) 11
  38. 38.What comes next? 9, 20, 31, 42, 53, ? (a) 75 (b) 65 (c) 63 (d) 64
  39. 39.What comes next? 46, 41, 36, 31, 26, ? (a) 20 (b) 16 (c) 22 (d) 21
  40. 40.What comes next? 20, 22, 25, 29, 34, ? (a) 40 (b) 42 (c) 39 (d) 41

Answer key

  1. 27
  2. 243
  3. 21
  4. 160
  5. 7
  6. 58
  7. 12
  8. 4
  9. 29
  10. 30
  11. 35
  12. 21
  13. 16
  14. 36
  15. 26
  16. 42
  17. 21
  18. 30
  19. 12
  20. 14
  21. 32
  22. 3
  23. 46
  24. 20
  25. 24
  26. 50
  27. 3
  28. 28
  29. 74
  30. 24
  31. 52
  32. 28
  33. 12
  34. 30
  35. 33
  36. 65
  37. 12
  38. 64
  39. 21
  40. 40

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