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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 326 · 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? 20, 23, 21, 24, 22, 25, ? (a) 22 (b) 27 (c) 23 (d) 28
  2. 2.What comes next? 7, 10, 13, 16, 19, ? (a) 23 (b) 25 (c) 21 (d) 22
  3. 3.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 160 (c) 120 (d) 161
  4. 4.What comes next? 3, 10, 8, 15, 13, 20, ? (a) 17 (b) 27 (c) 22 (d) 18
  5. 5.What comes next? 7, 13, 19, 25, 31, ? (a) 36 (b) 37 (c) 43 (d) 38
  6. 6.What comes next? 16, 20, 19, 23, 22, 26, ? (a) 30 (b) 27 (c) 25 (d) 24
  7. 7.What comes next? 48, 40, 32, 24, 16, ? (a) 10 (b) 7 (c) 8 (d) 9
  8. 8.What comes next? 7, 10, 14, 19, 25, ? (a) 33 (b) 34 (c) 32 (d) 31
  9. 9.What comes next? 11, 15, 19, 23, 27, ? (a) 35 (b) 32 (c) 31 (d) 30
  10. 10.What comes next? 11, 13, 16, 20, 25, ? (a) 33 (b) 30 (c) 32 (d) 31
  11. 11.What comes next? 9, 13, 18, 24, 31, ? (a) 39 (b) 38 (c) 40 (d) 41
  12. 12.What comes next? 59, 52, 45, 38, 31, ? (a) 17 (b) 23 (c) 25 (d) 24
  13. 13.What comes next? 2, 9, 4, 11, 6, 13, ? (a) 18 (b) 20 (c) 8 (d) 7
  14. 14.What comes next? 9, 12, 10, 13, 11, 14, ? (a) 16 (b) 17 (c) 12 (d) 11
  15. 15.What comes next? 8, 12, 17, 23, 30, ? (a) 40 (b) 37 (c) 38 (d) 39
  16. 16.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 64 (c) 65 (d) 48
  17. 17.What comes next? 15, 20, 17, 22, 19, 24, ? (a) 20 (b) 29 (c) 21 (d) 27
  18. 18.What comes next? 2, 8, 14, 20, 26, ? (a) 33 (b) 32 (c) 38 (d) 31
  19. 19.What comes next? 40, 34, 28, 22, 16, ? (a) 10 (b) 9 (c) 4 (d) 11
  20. 20.What comes next? 18, 15, 12, 9, 6, ? (a) 3 (b) 2 (c) 5 (d) 4
  21. 21.What comes next? 19, 16, 13, 10, 7, ? (a) 4 (b) 5 (c) 3 (d) 1
  22. 22.What comes next? 37, 34, 31, 28, 25, ? (a) 22 (b) 23 (c) 19 (d) 21
  23. 23.What comes next? 25, 29, 33, 37, 41, ? (a) 49 (b) 44 (c) 46 (d) 45
  24. 24.What comes next? 34, 29, 24, 19, 14, ? (a) 10 (b) 9 (c) 4 (d) 8
  25. 25.What comes next? 35, 30, 25, 20, 15, ? (a) 11 (b) 5 (c) 9 (d) 10
  26. 26.What comes next? 22, 28, 34, 40, 46, ? (a) 58 (b) 53 (c) 51 (d) 52
  27. 27.What comes next? 20, 32, 44, 56, 68, ? (a) 80 (b) 92 (c) 79 (d) 81
  28. 28.What comes next? 6, 7, 9, 12, 16, ? (a) 23 (b) 22 (c) 20 (d) 21
  29. 29.What comes next? 28, 34, 40, 46, 52, ? (a) 64 (b) 57 (c) 58 (d) 59
  30. 30.What comes next? 13, 23, 33, 43, 53, ? (a) 62 (b) 64 (c) 63 (d) 73
  31. 31.What comes next? 18, 16, 14, 12, 10, ? (a) 9 (b) 8 (c) 6 (d) 7
  32. 32.What comes next? 17, 21, 19, 23, 21, 25, ? (a) 23 (b) 27 (c) 29 (d) 22
  33. 33.What comes next? 28, 23, 18, 13, 8, ? (a) 2 (b) 4 (c) 5 (d) 3
  34. 34.What comes next? 5, 14, 10, 19, 15, 24, ? (a) 33 (b) 20 (c) 19 (d) 28
  35. 35.What comes next? 20, 23, 22, 25, 24, 27, ? (a) 25 (b) 30 (c) 28 (d) 26
  36. 36.What comes next? 57, 49, 41, 33, 25, ? (a) 9 (b) 16 (c) 17 (d) 18
  37. 37.What comes next? 9, 15, 10, 16, 11, 17, ? (a) 23 (b) 22 (c) 11 (d) 12
  38. 38.What comes next? 17, 18, 20, 23, 27, ? (a) 31 (b) 33 (c) 34 (d) 32
  39. 39.What comes next? 48, 42, 36, 30, 24, ? (a) 12 (b) 18 (c) 17 (d) 19
  40. 40.What comes next? 25, 22, 19, 16, 13, ? (a) 9 (b) 11 (c) 10 (d) 7

Answer key

  1. 23
  2. 22
  3. 160
  4. 18
  5. 37
  6. 25
  7. 8
  8. 32
  9. 31
  10. 31
  11. 39
  12. 24
  13. 8
  14. 12
  15. 38
  16. 64
  17. 21
  18. 32
  19. 10
  20. 3
  21. 4
  22. 22
  23. 45
  24. 9
  25. 10
  26. 52
  27. 80
  28. 21
  29. 58
  30. 63
  31. 8
  32. 23
  33. 3
  34. 20
  35. 26
  36. 17
  37. 12
  38. 32
  39. 18
  40. 10

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