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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 254 · 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, 6, 12, 24, 48, ? (a) 120 (b) 96 (c) 97 (d) 72
  2. 2.What comes next? 5, 7, 10, 14, 19, ? (a) 25 (b) 26 (c) 27 (d) 24
  3. 3.What comes next? 11, 18, 12, 19, 13, 20, ? (a) 13 (b) 27 (c) 14 (d) 26
  4. 4.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 81 (c) 45 (d) 72
  5. 5.What comes next? 16, 13, 10, 7, 4, ? (a) 2 (b) 4 (c) 3 (d) 1
  6. 6.What comes next? 23, 19, 15, 11, 7, ? (a) 5 (b) 3 (c) 2 (d) 4
  7. 7.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 120 (c) 160 (d) 200
  8. 8.What comes next? 35, 31, 27, 23, 19, ? (a) 16 (b) 11 (c) 15 (d) 14
  9. 9.What comes next? 49, 40, 31, 22, 13, ? (a) 3 (b) 6 (c) 5 (d) 4
  10. 10.What comes next? 4, 9, 8, 13, 12, 17, ? (a) 15 (b) 22 (c) 18 (d) 16
  11. 11.What comes next? 5, 15, 25, 35, 45, ? (a) 56 (b) 55 (c) 65 (d) 54
  12. 12.What comes next? 5, 14, 23, 32, 41, ? (a) 59 (b) 49 (c) 51 (d) 50
  13. 13.What comes next? 13, 11, 9, 7, 5, ? (a) 3 (b) 4 (c) 2 (d) 1
  14. 14.What comes next? 14, 21, 18, 25, 22, 29, ? (a) 36 (b) 25 (c) 32 (d) 26
  15. 15.What comes next? 21, 25, 29, 33, 37, ? (a) 41 (b) 42 (c) 45 (d) 40
  16. 16.What comes next? 53, 44, 35, 26, 17, ? (a) 9 (b) 10 (c) 7 (d) 8
  17. 17.What comes next? 37, 33, 29, 25, 21, ? (a) 17 (b) 18 (c) 16 (d) 13
  18. 18.What comes next? 4, 14, 24, 34, 44, ? (a) 53 (b) 55 (c) 64 (d) 54
  19. 19.What comes next? 26, 38, 50, 62, 74, ? (a) 98 (b) 85 (c) 87 (d) 86
  20. 20.What comes next? 10, 18, 15, 23, 20, 28, ? (a) 25 (b) 31 (c) 24 (d) 36
  21. 21.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 162 (c) 144 (d) 180
  22. 22.What comes next? 6, 10, 7, 11, 8, 12, ? (a) 15 (b) 16 (c) 9 (d) 8
  23. 23.What comes next? 19, 26, 33, 40, 47, ? (a) 55 (b) 61 (c) 53 (d) 54
  24. 24.What comes next? 21, 32, 43, 54, 65, ? (a) 87 (b) 77 (c) 75 (d) 76
  25. 25.What comes next? 19, 26, 25, 32, 31, 38, ? (a) 45 (b) 36 (c) 39 (d) 37
  26. 26.What comes next? 10, 11, 13, 16, 20, ? (a) 25 (b) 26 (c) 27 (d) 24
  27. 27.What comes next? 20, 23, 27, 32, 38, ? (a) 44 (b) 47 (c) 46 (d) 45
  28. 28.What comes next? 10, 13, 16, 19, 22, ? (a) 26 (b) 25 (c) 24 (d) 28
  29. 29.What comes next? 14, 21, 19, 26, 24, 31, ? (a) 28 (b) 33 (c) 29 (d) 38
  30. 30.What comes next? 2, 9, 16, 23, 30, ? (a) 36 (b) 38 (c) 37 (d) 44
  31. 31.What comes next? 12, 14, 17, 21, 26, ? (a) 33 (b) 34 (c) 31 (d) 32
  32. 32.What comes next? 2, 5, 8, 11, 14, ? (a) 16 (b) 18 (c) 20 (d) 17
  33. 33.What comes next? 19, 17, 15, 13, 11, ? (a) 8 (b) 10 (c) 9 (d) 7
  34. 34.What comes next? 3, 9, 15, 21, 27, ? (a) 39 (b) 32 (c) 33 (d) 34
  35. 35.What comes next? 12, 20, 13, 21, 14, 22, ? (a) 15 (b) 30 (c) 14 (d) 29
  36. 36.What comes next? 43, 36, 29, 22, 15, ? (a) 7 (b) 9 (c) 1 (d) 8
  37. 37.What comes next? 39, 35, 31, 27, 23, ? (a) 19 (b) 20 (c) 18 (d) 15
  38. 38.What comes next? 44, 37, 30, 23, 16, ? (a) 9 (b) 8 (c) 2 (d) 10
  39. 39.What comes next? 23, 25, 27, 29, 31, ? (a) 35 (b) 34 (c) 33 (d) 32
  40. 40.What comes next? 56, 47, 38, 29, 20, ? (a) 12 (b) 10 (c) 11 (d) 2

Answer key

  1. 96
  2. 25
  3. 14
  4. 81
  5. 1
  6. 3
  7. 160
  8. 15
  9. 4
  10. 16
  11. 55
  12. 50
  13. 3
  14. 26
  15. 41
  16. 8
  17. 17
  18. 54
  19. 86
  20. 25
  21. 162
  22. 9
  23. 54
  24. 76
  25. 37
  26. 25
  27. 45
  28. 25
  29. 29
  30. 37
  31. 32
  32. 17
  33. 9
  34. 33
  35. 15
  36. 8
  37. 19
  38. 9
  39. 33
  40. 11

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