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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 287 · 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? 15, 19, 24, 30, 37, ? (a) 44 (b) 47 (c) 46 (d) 45
  2. 2.What comes next? 60, 52, 44, 36, 28, ? (a) 21 (b) 12 (c) 20 (d) 19
  3. 3.What comes next? 2, 5, 9, 14, 20, ? (a) 26 (b) 28 (c) 27 (d) 29
  4. 4.What comes next? 18, 30, 42, 54, 66, ? (a) 78 (b) 79 (c) 77 (d) 90
  5. 5.What comes next? 7, 13, 19, 25, 31, ? (a) 38 (b) 43 (c) 36 (d) 37
  6. 6.What comes next? 14, 15, 17, 20, 24, ? (a) 30 (b) 28 (c) 29 (d) 31
  7. 7.What comes next? 27, 36, 45, 54, 63, ? (a) 81 (b) 73 (c) 71 (d) 72
  8. 8.What comes next? 8, 9, 11, 14, 18, ? (a) 24 (b) 23 (c) 22 (d) 25
  9. 9.What comes next? 7, 13, 10, 16, 13, 19, ? (a) 25 (b) 15 (c) 22 (d) 16
  10. 10.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 200 (c) 120 (d) 160
  11. 11.What comes next? 19, 23, 27, 31, 35, ? (a) 39 (b) 43 (c) 40 (d) 38
  12. 12.What comes next? 20, 26, 32, 38, 44, ? (a) 51 (b) 50 (c) 56 (d) 49
  13. 13.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 33 (c) 24 (d) 40
  14. 14.What comes next? 49, 40, 31, 22, 13, ? (a) 3 (b) 4 (c) 5 (d) 6
  15. 15.What comes next? 9, 14, 12, 17, 15, 20, ? (a) 25 (b) 18 (c) 17 (d) 22
  16. 16.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 192 (c) 193 (d) 240
  17. 17.What comes next? 5, 6, 8, 11, 15, ? (a) 19 (b) 22 (c) 21 (d) 20
  18. 18.What comes next? 39, 33, 27, 21, 15, ? (a) 10 (b) 8 (c) 9 (d) 3
  19. 19.What comes next? 3, 10, 17, 24, 31, ? (a) 45 (b) 38 (c) 37 (d) 39
  20. 20.What comes next? 9, 12, 16, 21, 27, ? (a) 34 (b) 33 (c) 36 (d) 35
  21. 21.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 80 (c) 48 (d) 64
  22. 22.What comes next? 50, 46, 42, 38, 34, ? (a) 30 (b) 26 (c) 31 (d) 29
  23. 23.What comes next? 16, 17, 19, 22, 26, ? (a) 32 (b) 31 (c) 30 (d) 33
  24. 24.What comes next? 7, 9, 11, 13, 15, ? (a) 16 (b) 19 (c) 18 (d) 17
  25. 25.What comes next? 36, 31, 26, 21, 16, ? (a) 6 (b) 11 (c) 12 (d) 10
  26. 26.What comes next? 13, 17, 22, 28, 35, ? (a) 42 (b) 43 (c) 45 (d) 44
  27. 27.What comes next? 7, 10, 13, 16, 19, ? (a) 23 (b) 21 (c) 25 (d) 22
  28. 28.What comes next? 5, 13, 11, 19, 17, 25, ? (a) 27 (b) 33 (c) 23 (d) 22
  29. 29.What comes next? 15, 25, 35, 45, 55, ? (a) 75 (b) 64 (c) 65 (d) 66
  30. 30.What comes next? 46, 37, 28, 19, 10, ? (a) 2 (b) 1 (c) 3 (d) 4
  31. 31.What comes next? 6, 9, 12, 15, 18, ? (a) 24 (b) 21 (c) 20 (d) 22
  32. 32.What comes next? 19, 23, 21, 25, 23, 27, ? (a) 31 (b) 29 (c) 24 (d) 25
  33. 33.What comes next? 3, 6, 5, 8, 7, 10, ? (a) 13 (b) 11 (c) 8 (d) 9
  34. 34.What comes next? 38, 36, 34, 32, 30, ? (a) 26 (b) 27 (c) 28 (d) 29
  35. 35.What comes next? 2, 5, 3, 6, 4, 7, ? (a) 5 (b) 10 (c) 4 (d) 9
  36. 36.What comes next? 26, 21, 16, 11, 6, ? (a) 2 (b) 4 (c) 3 (d) 1
  37. 37.What comes next? 17, 24, 18, 25, 19, 26, ? (a) 20 (b) 32 (c) 19 (d) 33
  38. 38.What comes next? 6, 7, 9, 12, 16, ? (a) 23 (b) 20 (c) 22 (d) 21
  39. 39.What comes next? 3, 8, 13, 18, 23, ? (a) 27 (b) 29 (c) 33 (d) 28
  40. 40.What comes next? 46, 42, 38, 34, 30, ? (a) 27 (b) 26 (c) 22 (d) 25

Answer key

  1. 45
  2. 20
  3. 27
  4. 78
  5. 37
  6. 29
  7. 72
  8. 23
  9. 16
  10. 160
  11. 39
  12. 50
  13. 32
  14. 4
  15. 18
  16. 192
  17. 20
  18. 9
  19. 38
  20. 34
  21. 64
  22. 30
  23. 31
  24. 17
  25. 11
  26. 43
  27. 22
  28. 23
  29. 65
  30. 1
  31. 21
  32. 25
  33. 9
  34. 28
  35. 5
  36. 1
  37. 20
  38. 21
  39. 28
  40. 26

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