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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 340 · 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? 65, 58, 51, 44, 37, ? (a) 30 (b) 31 (c) 29 (d) 23
  2. 2.What comes next? 54, 45, 36, 27, 18, ? (a) 10 (b) 8 (c) 9 (d) 11
  3. 3.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 45 (c) 72 (d) 81
  4. 4.What comes next? 12, 10, 8, 6, 4, ? (a) 3 (b) 4 (c) 2 (d) 1
  5. 5.What comes next? 13, 21, 15, 23, 17, 25, ? (a) 33 (b) 18 (c) 31 (d) 19
  6. 6.What comes next? 2, 6, 11, 17, 24, ? (a) 34 (b) 33 (c) 31 (d) 32
  7. 7.What comes next? 21, 24, 27, 30, 33, ? (a) 35 (b) 37 (c) 39 (d) 36
  8. 8.What comes next? 24, 29, 34, 39, 44, ? (a) 54 (b) 50 (c) 49 (d) 48
  9. 9.What comes next? 15, 19, 24, 30, 37, ? (a) 47 (b) 45 (c) 46 (d) 44
  10. 10.What comes next? 29, 35, 41, 47, 53, ? (a) 65 (b) 60 (c) 58 (d) 59
  11. 11.What comes next? 53, 46, 39, 32, 25, ? (a) 19 (b) 11 (c) 18 (d) 17
  12. 12.What comes next? 12, 19, 14, 21, 16, 23, ? (a) 18 (b) 28 (c) 17 (d) 30
  13. 13.What comes next? 4, 7, 11, 16, 22, ? (a) 28 (b) 29 (c) 31 (d) 30
  14. 14.What comes next? 29, 27, 25, 23, 21, ? (a) 19 (b) 18 (c) 20 (d) 17
  15. 15.What comes next? 1, 10, 4, 13, 7, 16, ? (a) 22 (b) 25 (c) 10 (d) 9
  16. 16.What comes next? 46, 37, 28, 19, 10, ? (a) 2 (b) 1 (c) 3 (d) 4
  17. 17.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 120 (c) 200 (d) 160
  18. 18.What comes next? 14, 23, 32, 41, 50, ? (a) 59 (b) 60 (c) 68 (d) 58
  19. 19.What comes next? 19, 28, 37, 46, 55, ? (a) 73 (b) 65 (c) 63 (d) 64
  20. 20.What comes next? 8, 11, 9, 12, 10, 13, ? (a) 16 (b) 10 (c) 11 (d) 15
  21. 21.What comes next? 42, 34, 26, 18, 10, ? (a) 1 (b) 4 (c) 3 (d) 2
  22. 22.What comes next? 14, 20, 26, 32, 38, ? (a) 45 (b) 43 (c) 44 (d) 50
  23. 23.What comes next? 17, 23, 18, 24, 19, 25, ? (a) 19 (b) 20 (c) 30 (d) 31
  24. 24.What comes next? 4, 11, 18, 25, 32, ? (a) 38 (b) 39 (c) 46 (d) 40
  25. 25.What comes next? 6, 9, 12, 15, 18, ? (a) 24 (b) 22 (c) 21 (d) 20
  26. 26.What comes next? 21, 23, 25, 27, 29, ? (a) 33 (b) 30 (c) 32 (d) 31
  27. 27.What comes next? 47, 40, 33, 26, 19, ? (a) 5 (b) 13 (c) 11 (d) 12
  28. 28.What comes next? 6, 10, 7, 11, 8, 12, ? (a) 8 (b) 16 (c) 15 (d) 9
  29. 29.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 243 (c) 216 (d) 135
  30. 30.What comes next? 33, 27, 21, 15, 9, ? (a) 2 (b) 4 (c) 3 (d) 5
  31. 31.What comes next? 63, 56, 49, 42, 35, ? (a) 28 (b) 21 (c) 27 (d) 29
  32. 32.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 24 (c) 40 (d) 32
  33. 33.What comes next? 7, 15, 11, 19, 15, 23, ? (a) 27 (b) 31 (c) 19 (d) 18
  34. 34.What comes next? 13, 19, 18, 24, 23, 29, ? (a) 27 (b) 28 (c) 30 (d) 35
  35. 35.What comes next? 14, 15, 17, 20, 24, ? (a) 28 (b) 29 (c) 30 (d) 31
  36. 36.What comes next? 31, 29, 27, 25, 23, ? (a) 22 (b) 19 (c) 21 (d) 20
  37. 37.What comes next? 7, 14, 21, 28, 35, ? (a) 42 (b) 41 (c) 43 (d) 49
  38. 38.What comes next? 19, 22, 26, 31, 37, ? (a) 46 (b) 45 (c) 43 (d) 44
  39. 39.What comes next? 7, 13, 19, 25, 31, ? (a) 38 (b) 37 (c) 43 (d) 36
  40. 40.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 162 (d) 90

Answer key

  1. 30
  2. 9
  3. 81
  4. 2
  5. 19
  6. 32
  7. 36
  8. 49
  9. 45
  10. 59
  11. 18
  12. 18
  13. 29
  14. 19
  15. 10
  16. 1
  17. 160
  18. 59
  19. 64
  20. 11
  21. 2
  22. 44
  23. 20
  24. 39
  25. 21
  26. 31
  27. 12
  28. 9
  29. 243
  30. 3
  31. 28
  32. 32
  33. 19
  34. 28
  35. 29
  36. 21
  37. 42
  38. 44
  39. 37
  40. 162

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