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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 192 · 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, 26, 29, 32, ? (a) 36 (b) 34 (c) 35 (d) 38
  2. 2.What comes next? 46, 40, 34, 28, 22, ? (a) 16 (b) 17 (c) 10 (d) 15
  3. 3.What comes next? 12, 10, 8, 6, 4, ? (a) 4 (b) 2 (c) 3 (d) 1
  4. 4.What comes next? 24, 35, 46, 57, 68, ? (a) 80 (b) 79 (c) 78 (d) 90
  5. 5.What comes next? 27, 31, 35, 39, 43, ? (a) 46 (b) 48 (c) 51 (d) 47
  6. 6.What comes next? 8, 11, 14, 17, 20, ? (a) 26 (b) 23 (c) 24 (d) 22
  7. 7.What comes next? 16, 22, 18, 24, 20, 26, ? (a) 30 (b) 21 (c) 32 (d) 22
  8. 8.What comes next? 9, 15, 10, 16, 11, 17, ? (a) 23 (b) 22 (c) 11 (d) 12
  9. 9.What comes next? 24, 21, 18, 15, 12, ? (a) 8 (b) 9 (c) 6 (d) 10
  10. 10.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 32 (d) 24
  11. 11.What comes next? 29, 27, 25, 23, 21, ? (a) 17 (b) 18 (c) 20 (d) 19
  12. 12.What comes next? 40, 38, 36, 34, 32, ? (a) 31 (b) 30 (c) 28 (d) 29
  13. 13.What comes next? 7, 19, 31, 43, 55, ? (a) 79 (b) 66 (c) 67 (d) 68
  14. 14.What comes next? 2, 10, 7, 15, 12, 20, ? (a) 28 (b) 23 (c) 17 (d) 16
  15. 15.What comes next? 11, 12, 14, 17, 21, ? (a) 26 (b) 25 (c) 28 (d) 27
  16. 16.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 200 (c) 160 (d) 161
  17. 17.What comes next? 11, 18, 25, 32, 39, ? (a) 47 (b) 45 (c) 53 (d) 46
  18. 18.What comes next? 19, 26, 33, 40, 47, ? (a) 61 (b) 53 (c) 54 (d) 55
  19. 19.What comes next? 38, 32, 26, 20, 14, ? (a) 7 (b) 9 (c) 2 (d) 8
  20. 20.What comes next? 43, 39, 35, 31, 27, ? (a) 22 (b) 19 (c) 23 (d) 24
  21. 21.What comes next? 1, 4, 8, 13, 19, ? (a) 27 (b) 25 (c) 28 (d) 26
  22. 22.What comes next? 18, 26, 24, 32, 30, 38, ? (a) 40 (b) 46 (c) 35 (d) 36
  23. 23.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 81 (c) 72 (d) 45
  24. 24.What comes next? 3, 6, 10, 15, 21, ? (a) 27 (b) 30 (c) 29 (d) 28
  25. 25.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 180 (c) 90 (d) 144
  26. 26.What comes next? 43, 36, 29, 22, 15, ? (a) 7 (b) 1 (c) 8 (d) 9
  27. 27.What comes next? 20, 17, 14, 11, 8, ? (a) 2 (b) 6 (c) 5 (d) 4
  28. 28.What comes next? 69, 61, 53, 45, 37, ? (a) 28 (b) 21 (c) 30 (d) 29
  29. 29.What comes next? 18, 24, 22, 28, 26, 32, ? (a) 29 (b) 30 (c) 38 (d) 34
  30. 30.What comes next? 22, 19, 16, 13, 10, ? (a) 7 (b) 4 (c) 8 (d) 6
  31. 31.What comes next? 11, 15, 13, 17, 15, 19, ? (a) 16 (b) 21 (c) 17 (d) 23
  32. 32.What comes next? 54, 46, 38, 30, 22, ? (a) 14 (b) 13 (c) 15 (d) 6
  33. 33.What comes next? 39, 34, 29, 24, 19, ? (a) 9 (b) 15 (c) 13 (d) 14
  34. 34.What comes next? 15, 17, 20, 24, 29, ? (a) 36 (b) 35 (c) 34 (d) 37
  35. 35.What comes next? 8, 13, 12, 17, 16, 21, ? (a) 22 (b) 20 (c) 26 (d) 19
  36. 36.What comes next? 9, 14, 10, 15, 11, 16, ? (a) 20 (b) 21 (c) 11 (d) 12
  37. 37.What comes next? 53, 48, 43, 38, 33, ? (a) 23 (b) 29 (c) 28 (d) 27
  38. 38.What comes next? 11, 16, 21, 26, 31, ? (a) 35 (b) 41 (c) 37 (d) 36
  39. 39.What comes next? 4, 8, 12, 16, 20, ? (a) 25 (b) 28 (c) 23 (d) 24
  40. 40.What comes next? 10, 14, 19, 25, 32, ? (a) 40 (b) 41 (c) 42 (d) 39

Answer key

  1. 35
  2. 16
  3. 2
  4. 79
  5. 47
  6. 23
  7. 22
  8. 12
  9. 9
  10. 32
  11. 19
  12. 30
  13. 67
  14. 17
  15. 26
  16. 160
  17. 46
  18. 54
  19. 8
  20. 23
  21. 26
  22. 36
  23. 81
  24. 28
  25. 162
  26. 8
  27. 5
  28. 29
  29. 30
  30. 7
  31. 17
  32. 14
  33. 14
  34. 35
  35. 20
  36. 12
  37. 28
  38. 36
  39. 24
  40. 40

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