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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 269 · 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? 3, 5, 8, 12, 17, ? (a) 24 (b) 23 (c) 25 (d) 22
  2. 2.What comes next? 32, 28, 24, 20, 16, ? (a) 13 (b) 12 (c) 8 (d) 11
  3. 3.What comes next? 52, 44, 36, 28, 20, ? (a) 11 (b) 4 (c) 13 (d) 12
  4. 4.What comes next? 36, 32, 28, 24, 20, ? (a) 15 (b) 17 (c) 12 (d) 16
  5. 5.What comes next? 1, 7, 4, 10, 7, 13, ? (a) 10 (b) 16 (c) 19 (d) 9
  6. 6.What comes next? 2, 11, 20, 29, 38, ? (a) 46 (b) 47 (c) 48 (d) 56
  7. 7.What comes next? 1, 3, 6, 10, 15, ? (a) 20 (b) 23 (c) 21 (d) 22
  8. 8.What comes next? 2, 6, 11, 17, 24, ? (a) 31 (b) 33 (c) 34 (d) 32
  9. 9.What comes next? 10, 18, 15, 23, 20, 28, ? (a) 24 (b) 36 (c) 31 (d) 25
  10. 10.What comes next? 36, 30, 24, 18, 12, ? (a) 5 (b) 8 (c) 7 (d) 6
  11. 11.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 24 (d) 32
  12. 12.What comes next? 12, 10, 8, 6, 4, ? (a) 4 (b) 2 (c) 1 (d) 3
  13. 13.What comes next? 25, 27, 29, 31, 33, ? (a) 35 (b) 36 (c) 34 (d) 37
  14. 14.What comes next? 41, 34, 27, 20, 13, ? (a) 5 (b) 6 (c) 8 (d) 7
  15. 15.What comes next? 49, 43, 37, 31, 25, ? (a) 13 (b) 19 (c) 18 (d) 20
  16. 16.What comes next? 29, 35, 41, 47, 53, ? (a) 60 (b) 65 (c) 58 (d) 59
  17. 17.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 81 (d) 45
  18. 18.What comes next? 11, 15, 20, 26, 33, ? (a) 43 (b) 40 (c) 42 (d) 41
  19. 19.What comes next? 20, 26, 25, 31, 30, 36, ? (a) 42 (b) 34 (c) 35 (d) 37
  20. 20.What comes next? 5, 15, 25, 35, 45, ? (a) 65 (b) 56 (c) 55 (d) 54
  21. 21.What comes next? 55, 48, 41, 34, 27, ? (a) 13 (b) 19 (c) 20 (d) 21
  22. 22.What comes next? 11, 17, 16, 22, 21, 27, ? (a) 28 (b) 33 (c) 26 (d) 25
  23. 23.What comes next? 16, 26, 36, 46, 56, ? (a) 66 (b) 67 (c) 76 (d) 65
  24. 24.What comes next? 25, 29, 33, 37, 41, ? (a) 44 (b) 46 (c) 45 (d) 49
  25. 25.What comes next? 10, 11, 13, 16, 20, ? (a) 25 (b) 26 (c) 24 (d) 27
  26. 26.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 162 (c) 180 (d) 90
  27. 27.What comes next? 11, 14, 17, 20, 23, ? (a) 27 (b) 29 (c) 25 (d) 26
  28. 28.What comes next? 11, 20, 13, 22, 15, 24, ? (a) 31 (b) 17 (c) 16 (d) 33
  29. 29.What comes next? 15, 18, 22, 27, 33, ? (a) 41 (b) 39 (c) 40 (d) 42
  30. 30.What comes next? 10, 16, 15, 21, 20, 26, ? (a) 27 (b) 25 (c) 32 (d) 24
  31. 31.What comes next? 65, 58, 51, 44, 37, ? (a) 29 (b) 31 (c) 30 (d) 23
  32. 32.What comes next? 17, 22, 18, 23, 19, 24, ? (a) 29 (b) 19 (c) 28 (d) 20
  33. 33.What comes next? 14, 21, 28, 35, 42, ? (a) 49 (b) 56 (c) 50 (d) 48
  34. 34.What comes next? 27, 35, 43, 51, 59, ? (a) 66 (b) 75 (c) 68 (d) 67
  35. 35.What comes next? 45, 38, 31, 24, 17, ? (a) 9 (b) 3 (c) 11 (d) 10
  36. 36.What comes next? 6, 14, 8, 16, 10, 18, ? (a) 24 (b) 11 (c) 12 (d) 26
  37. 37.What comes next? 12, 21, 15, 24, 18, 27, ? (a) 20 (b) 36 (c) 21 (d) 33
  38. 38.What comes next? 26, 21, 16, 11, 6, ? (a) 2 (b) 4 (c) 3 (d) 1
  39. 39.What comes next? 16, 14, 12, 10, 8, ? (a) 4 (b) 6 (c) 7 (d) 5
  40. 40.What comes next? 3, 8, 5, 10, 7, 12, ? (a) 8 (b) 9 (c) 17 (d) 15

Answer key

  1. 23
  2. 12
  3. 12
  4. 16
  5. 10
  6. 47
  7. 21
  8. 32
  9. 25
  10. 6
  11. 32
  12. 2
  13. 35
  14. 6
  15. 19
  16. 59
  17. 81
  18. 41
  19. 35
  20. 55
  21. 20
  22. 26
  23. 66
  24. 45
  25. 25
  26. 162
  27. 26
  28. 17
  29. 40
  30. 25
  31. 30
  32. 20
  33. 49
  34. 67
  35. 10
  36. 12
  37. 21
  38. 1
  39. 6
  40. 9

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