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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 895 · 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? 5, 8, 12, 17, 23, ? (a) 31 (b) 30 (c) 32 (d) 29
  2. 2.What comes next? 22, 18, 14, 10, 6, ? (a) 4 (b) 3 (c) 2 (d) 1
  3. 3.What comes next? 6, 11, 16, 21, 26, ? (a) 36 (b) 30 (c) 31 (d) 32
  4. 4.What comes next? 19, 28, 26, 35, 33, 42, ? (a) 51 (b) 40 (c) 44 (d) 39
  5. 5.What comes next? 19, 23, 28, 34, 41, ? (a) 48 (b) 50 (c) 49 (d) 51
  6. 6.What comes next? 39, 33, 27, 21, 15, ? (a) 8 (b) 9 (c) 3 (d) 10
  7. 7.What comes next? 51, 46, 41, 36, 31, ? (a) 21 (b) 27 (c) 25 (d) 26
  8. 8.What comes next? 21, 24, 27, 30, 33, ? (a) 35 (b) 37 (c) 36 (d) 39
  9. 9.What comes next? 49, 40, 31, 22, 13, ? (a) 3 (b) 5 (c) 4 (d) 6
  10. 10.What comes next? 9, 12, 15, 18, 21, ? (a) 23 (b) 25 (c) 24 (d) 27
  11. 11.What comes next? 2, 6, 11, 17, 24, ? (a) 31 (b) 32 (c) 33 (d) 34
  12. 12.What comes next? 5, 9, 7, 11, 9, 13, ? (a) 11 (b) 15 (c) 17 (d) 10
  13. 13.What comes next? 8, 17, 11, 20, 14, 23, ? (a) 29 (b) 16 (c) 17 (d) 32
  14. 14.What comes next? 43, 36, 29, 22, 15, ? (a) 7 (b) 8 (c) 9 (d) 1
  15. 15.What comes next? 9, 13, 18, 24, 31, ? (a) 38 (b) 41 (c) 40 (d) 39
  16. 16.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 90 (d) 162
  17. 17.What comes next? 18, 26, 34, 42, 50, ? (a) 58 (b) 59 (c) 66 (d) 57
  18. 18.What comes next? 13, 11, 9, 7, 5, ? (a) 2 (b) 3 (c) 1 (d) 4
  19. 19.What comes next? 4, 16, 28, 40, 52, ? (a) 64 (b) 63 (c) 76 (d) 65
  20. 20.What comes next? 39, 37, 35, 33, 31, ? (a) 29 (b) 30 (c) 27 (d) 28
  21. 21.What comes next? 52, 43, 34, 25, 16, ? (a) 8 (b) 9 (c) 7 (d) 6
  22. 22.What comes next? 12, 15, 14, 17, 16, 19, ? (a) 20 (b) 22 (c) 17 (d) 18
  23. 23.What comes next? 20, 21, 23, 26, 30, ? (a) 35 (b) 34 (c) 36 (d) 37
  24. 24.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 32 (d) 24
  25. 25.What comes next? 10, 18, 17, 25, 24, 32, ? (a) 31 (b) 30 (c) 33 (d) 40
  26. 26.What comes next? 26, 32, 38, 44, 50, ? (a) 57 (b) 62 (c) 55 (d) 56
  27. 27.What comes next? 9, 14, 19, 24, 29, ? (a) 35 (b) 33 (c) 34 (d) 39
  28. 28.What comes next? 31, 25, 19, 13, 7, ? (a) 3 (b) 4 (c) 2 (d) 1
  29. 29.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 193 (c) 144 (d) 240
  30. 30.What comes next? 8, 15, 13, 20, 18, 25, ? (a) 22 (b) 27 (c) 32 (d) 23
  31. 31.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 120 (c) 160 (d) 200
  32. 32.What comes next? 11, 18, 25, 32, 39, ? (a) 47 (b) 46 (c) 45 (d) 53
  33. 33.What comes next? 4, 7, 6, 9, 8, 11, ? (a) 10 (b) 12 (c) 9 (d) 14
  34. 34.What comes next? 16, 22, 20, 26, 24, 30, ? (a) 27 (b) 36 (c) 28 (d) 32
  35. 35.What comes next? 18, 21, 24, 27, 30, ? (a) 34 (b) 33 (c) 36 (d) 32
  36. 36.What comes next? 1, 5, 2, 6, 3, 7, ? (a) 11 (b) 4 (c) 10 (d) 3
  37. 37.What comes next? 12, 17, 16, 21, 20, 25, ? (a) 30 (b) 24 (c) 23 (d) 26
  38. 38.What comes next? 26, 30, 34, 38, 42, ? (a) 50 (b) 46 (c) 45 (d) 47
  39. 39.What comes next? 28, 31, 34, 37, 40, ? (a) 43 (b) 46 (c) 42 (d) 44
  40. 40.What comes next? 21, 28, 35, 42, 49, ? (a) 55 (b) 56 (c) 63 (d) 57

Answer key

  1. 30
  2. 2
  3. 31
  4. 40
  5. 49
  6. 9
  7. 26
  8. 36
  9. 4
  10. 24
  11. 32
  12. 11
  13. 17
  14. 8
  15. 39
  16. 162
  17. 58
  18. 3
  19. 64
  20. 29
  21. 7
  22. 18
  23. 35
  24. 32
  25. 31
  26. 56
  27. 34
  28. 1
  29. 192
  30. 23
  31. 160
  32. 46
  33. 10
  34. 28
  35. 33
  36. 4
  37. 24
  38. 46
  39. 43
  40. 56

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