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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 949 · 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? 1, 5, 10, 16, 23, ? (a) 30 (b) 33 (c) 32 (d) 31
  2. 2.What comes next? 21, 25, 29, 33, 37, ? (a) 42 (b) 40 (c) 41 (d) 45
  3. 3.What comes next? 24, 31, 38, 45, 52, ? (a) 58 (b) 59 (c) 60 (d) 66
  4. 4.What comes next? 40, 33, 26, 19, 12, ? (a) 6 (b) 4 (c) 7 (d) 5
  5. 5.What comes next? 49, 45, 41, 37, 33, ? (a) 29 (b) 28 (c) 30 (d) 25
  6. 6.What comes next? 19, 27, 26, 34, 33, 41, ? (a) 49 (b) 39 (c) 42 (d) 40
  7. 7.What comes next? 14, 17, 21, 26, 32, ? (a) 41 (b) 40 (c) 39 (d) 38
  8. 8.What comes next? 16, 20, 25, 31, 38, ? (a) 46 (b) 47 (c) 45 (d) 48
  9. 9.What comes next? 6, 7, 9, 12, 16, ? (a) 23 (b) 21 (c) 20 (d) 22
  10. 10.What comes next? 10, 12, 15, 19, 24, ? (a) 31 (b) 29 (c) 30 (d) 32
  11. 11.What comes next? 2, 5, 9, 14, 20, ? (a) 28 (b) 29 (c) 27 (d) 26
  12. 12.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 72 (c) 120 (d) 96
  13. 13.What comes next? 13, 17, 16, 20, 19, 23, ? (a) 24 (b) 22 (c) 21 (d) 27
  14. 14.What comes next? 18, 27, 21, 30, 24, 33, ? (a) 39 (b) 42 (c) 27 (d) 26
  15. 15.What comes next? 55, 50, 45, 40, 35, ? (a) 25 (b) 31 (c) 30 (d) 29
  16. 16.What comes next? 15, 22, 29, 36, 43, ? (a) 57 (b) 49 (c) 50 (d) 51
  17. 17.What comes next? 29, 27, 25, 23, 21, ? (a) 17 (b) 19 (c) 18 (d) 20
  18. 18.What comes next? 17, 25, 18, 26, 19, 27, ? (a) 20 (b) 35 (c) 19 (d) 34
  19. 19.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 180 (c) 144 (d) 90
  20. 20.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 40 (c) 33 (d) 32
  21. 21.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 193 (c) 240 (d) 144
  22. 22.What comes next? 27, 30, 33, 36, 39, ? (a) 42 (b) 43 (c) 45 (d) 41
  23. 23.What comes next? 13, 21, 29, 37, 45, ? (a) 53 (b) 61 (c) 54 (d) 52
  24. 24.What comes next? 22, 28, 34, 40, 46, ? (a) 58 (b) 53 (c) 51 (d) 52
  25. 25.What comes next? 2, 7, 12, 17, 22, ? (a) 26 (b) 28 (c) 27 (d) 32
  26. 26.What comes next? 6, 9, 8, 11, 10, 13, ? (a) 12 (b) 16 (c) 11 (d) 14
  27. 27.What comes next? 20, 23, 27, 32, 38, ? (a) 47 (b) 44 (c) 45 (d) 46
  28. 28.What comes next? 9, 14, 11, 16, 13, 18, ? (a) 23 (b) 15 (c) 14 (d) 21
  29. 29.What comes next? 11, 9, 7, 5, 3, ? (a) 3 (b) 2 (c) 1 (d) 4
  30. 30.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 200 (c) 120 (d) 161
  31. 31.What comes next? 18, 25, 20, 27, 22, 29, ? (a) 23 (b) 24 (c) 34 (d) 36
  32. 32.What comes next? 21, 19, 17, 15, 13, ? (a) 12 (b) 11 (c) 9 (d) 10
  33. 33.What comes next? 18, 28, 38, 48, 58, ? (a) 68 (b) 69 (c) 78 (d) 67
  34. 34.What comes next? 38, 32, 26, 20, 14, ? (a) 7 (b) 8 (c) 9 (d) 2
  35. 35.What comes next? 2, 6, 11, 17, 24, ? (a) 33 (b) 32 (c) 34 (d) 31
  36. 36.What comes next? 24, 34, 44, 54, 64, ? (a) 84 (b) 75 (c) 73 (d) 74
  37. 37.What comes next? 7, 18, 29, 40, 51, ? (a) 73 (b) 63 (c) 62 (d) 61
  38. 38.What comes next? 15, 16, 18, 21, 25, ? (a) 31 (b) 29 (c) 32 (d) 30
  39. 39.What comes next? 23, 19, 15, 11, 7, ? (a) 2 (b) 3 (c) 5 (d) 4
  40. 40.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 160 (c) 128 (d) 129

Answer key

  1. 31
  2. 41
  3. 59
  4. 5
  5. 29
  6. 40
  7. 39
  8. 46
  9. 21
  10. 30
  11. 27
  12. 96
  13. 22
  14. 27
  15. 30
  16. 50
  17. 19
  18. 20
  19. 162
  20. 32
  21. 192
  22. 42
  23. 53
  24. 52
  25. 27
  26. 12
  27. 45
  28. 15
  29. 1
  30. 160
  31. 24
  32. 11
  33. 68
  34. 8
  35. 32
  36. 74
  37. 62
  38. 30
  39. 3
  40. 128

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