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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 955 · 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? 7, 10, 14, 19, 25, ? (a) 34 (b) 33 (c) 32 (d) 31
  2. 2.What comes next? 28, 30, 32, 34, 36, ? (a) 39 (b) 37 (c) 40 (d) 38
  3. 3.What comes next? 40, 37, 34, 31, 28, ? (a) 22 (b) 24 (c) 25 (d) 26
  4. 4.What comes next? 32, 28, 24, 20, 16, ? (a) 11 (b) 8 (c) 13 (d) 12
  5. 5.What comes next? 25, 30, 35, 40, 45, ? (a) 49 (b) 50 (c) 55 (d) 51
  6. 6.What comes next? 29, 38, 47, 56, 65, ? (a) 73 (b) 74 (c) 83 (d) 75
  7. 7.What comes next? 36, 29, 22, 15, 8, ? (a) 4 (b) 3 (c) 1 (d) 2
  8. 8.What comes next? 19, 23, 28, 34, 41, ? (a) 49 (b) 50 (c) 51 (d) 48
  9. 9.What comes next? 17, 21, 20, 24, 23, 27, ? (a) 31 (b) 25 (c) 26 (d) 28
  10. 10.What comes next? 16, 19, 23, 28, 34, ? (a) 40 (b) 42 (c) 43 (d) 41
  11. 11.What comes next? 17, 21, 18, 22, 19, 23, ? (a) 27 (b) 20 (c) 19 (d) 26
  12. 12.What comes next? 18, 25, 20, 27, 22, 29, ? (a) 36 (b) 24 (c) 34 (d) 23
  13. 13.What comes next? 4, 5, 7, 10, 14, ? (a) 19 (b) 20 (c) 18 (d) 21
  14. 14.What comes next? 5, 16, 27, 38, 49, ? (a) 59 (b) 71 (c) 61 (d) 60
  15. 15.What comes next? 24, 30, 36, 42, 48, ? (a) 54 (b) 55 (c) 53 (d) 60
  16. 16.What comes next? 4, 6, 9, 13, 18, ? (a) 23 (b) 24 (c) 26 (d) 25
  17. 17.What comes next? 8, 13, 18, 23, 28, ? (a) 32 (b) 38 (c) 34 (d) 33
  18. 18.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 40 (c) 32 (d) 33
  19. 19.What comes next? 9, 13, 18, 24, 31, ? (a) 38 (b) 40 (c) 39 (d) 41
  20. 20.What comes next? 27, 32, 37, 42, 47, ? (a) 53 (b) 57 (c) 52 (d) 51
  21. 21.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 160 (c) 200 (d) 120
  22. 22.What comes next? 13, 14, 16, 19, 23, ? (a) 29 (b) 27 (c) 30 (d) 28
  23. 23.What comes next? 8, 16, 13, 21, 18, 26, ? (a) 34 (b) 22 (c) 29 (d) 23
  24. 24.What comes next? 9, 16, 23, 30, 37, ? (a) 43 (b) 51 (c) 45 (d) 44
  25. 25.What comes next? 11, 13, 16, 20, 25, ? (a) 30 (b) 31 (c) 33 (d) 32
  26. 26.What comes next? 19, 23, 22, 26, 25, 29, ? (a) 27 (b) 33 (c) 28 (d) 30
  27. 27.What comes next? 37, 30, 23, 16, 9, ? (a) 1 (b) 4 (c) 3 (d) 2
  28. 28.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 270 (c) 216 (d) 135
  29. 29.What comes next? 7, 9, 12, 16, 21, ? (a) 28 (b) 26 (c) 27 (d) 29
  30. 30.What comes next? 20, 23, 26, 29, 32, ? (a) 38 (b) 36 (c) 35 (d) 34
  31. 31.What comes next? 2, 4, 7, 11, 16, ? (a) 23 (b) 24 (c) 21 (d) 22
  32. 32.What comes next? 19, 20, 22, 25, 29, ? (a) 34 (b) 36 (c) 33 (d) 35
  33. 33.What comes next? 5, 15, 25, 35, 45, ? (a) 54 (b) 56 (c) 65 (d) 55
  34. 34.What comes next? 13, 20, 15, 22, 17, 24, ? (a) 31 (b) 18 (c) 29 (d) 19
  35. 35.What comes next? 62, 54, 46, 38, 30, ? (a) 21 (b) 14 (c) 23 (d) 22
  36. 36.What comes next? 24, 33, 42, 51, 60, ? (a) 68 (b) 69 (c) 78 (d) 70
  37. 37.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 48 (c) 64 (d) 65
  38. 38.What comes next? 34, 29, 24, 19, 14, ? (a) 4 (b) 9 (c) 10 (d) 8
  39. 39.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 144 (c) 192 (d) 193
  40. 40.What comes next? 51, 43, 35, 27, 19, ? (a) 3 (b) 12 (c) 10 (d) 11

Answer key

  1. 32
  2. 38
  3. 25
  4. 12
  5. 50
  6. 74
  7. 1
  8. 49
  9. 26
  10. 41
  11. 20
  12. 24
  13. 19
  14. 60
  15. 54
  16. 24
  17. 33
  18. 32
  19. 39
  20. 52
  21. 160
  22. 28
  23. 23
  24. 44
  25. 31
  26. 28
  27. 2
  28. 243
  29. 27
  30. 35
  31. 22
  32. 34
  33. 55
  34. 19
  35. 22
  36. 69
  37. 64
  38. 9
  39. 192
  40. 11

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