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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 27 · 40 questions
TalentJR

How to solve it (Look at the gaps): Write the gap between each pair of neighbours (+4, +4, … or −3, −3, …). Same gap? Add it again. Growing gap (+2, +3, +4)? The next gap is one more. Gaps that take turns (+5, −2, +5, −2)? Use the next one in turn. Numbers growing fast? Try × 2 or × 3.

NameDateTime takenScore ___ / 40
  1. 1.What comes next? 13, 23, 33, 43, 53, ? (a) 73 (b) 63 (c) 64 (d) 62
  2. 2.What comes next? 15, 13, 11, 9, 7, ? (a) 6 (b) 3 (c) 5 (d) 4
  3. 3.What comes next? 2, 6, 11, 17, 24, ? (a) 34 (b) 31 (c) 33 (d) 32
  4. 4.What comes next? 12, 13, 15, 18, 22, ? (a) 28 (b) 27 (c) 26 (d) 29
  5. 5.What comes next? 10, 15, 20, 25, 30, ? (a) 40 (b) 34 (c) 35 (d) 36
  6. 6.What comes next? 51, 42, 33, 24, 15, ? (a) 6 (b) 5 (c) 8 (d) 7
  7. 7.What comes next? 15, 17, 20, 24, 29, ? (a) 36 (b) 34 (c) 35 (d) 37
  8. 8.What comes next? 8, 11, 10, 13, 12, 15, ? (a) 18 (b) 13 (c) 16 (d) 14
  9. 9.What comes next? 1, 2, 4, 7, 11, ? (a) 18 (b) 16 (c) 15 (d) 17
  10. 10.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 81 (c) 90 (d) 45
  11. 11.What comes next? 8, 10, 12, 14, 16, ? (a) 20 (b) 18 (c) 19 (d) 17
  12. 12.What comes next? 30, 41, 52, 63, 74, ? (a) 86 (b) 96 (c) 85 (d) 84
  13. 13.What comes next? 10, 14, 18, 22, 26, ? (a) 31 (b) 34 (c) 29 (d) 30
  14. 14.What comes next? 48, 42, 36, 30, 24, ? (a) 17 (b) 12 (c) 18 (d) 19
  15. 15.What comes next? 26, 21, 16, 11, 6, ? (a) 1 (b) 4 (c) 2 (d) 3
  16. 16.What comes next? 4, 10, 9, 15, 14, 20, ? (a) 19 (b) 18 (c) 21 (d) 26
  17. 17.What comes next? 16, 19, 23, 28, 34, ? (a) 41 (b) 40 (c) 42 (d) 43
  18. 18.What comes next? 52, 43, 34, 25, 16, ? (a) 7 (b) 8 (c) 9 (d) 6
  19. 19.What comes next? 6, 15, 13, 22, 20, 29, ? (a) 26 (b) 38 (c) 31 (d) 27
  20. 20.What comes next? 20, 23, 27, 32, 38, ? (a) 46 (b) 47 (c) 44 (d) 45
  21. 21.What comes next? 44, 37, 30, 23, 16, ? (a) 8 (b) 2 (c) 9 (d) 10
  22. 22.What comes next? 42, 37, 32, 27, 22, ? (a) 12 (b) 18 (c) 16 (d) 17
  23. 23.What comes next? 9, 10, 12, 15, 19, ? (a) 23 (b) 25 (c) 26 (d) 24
  24. 24.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 192 (c) 193 (d) 144
  25. 25.What comes next? 17, 21, 19, 23, 21, 25, ? (a) 23 (b) 22 (c) 27 (d) 29
  26. 26.What comes next? 34, 29, 24, 19, 14, ? (a) 4 (b) 8 (c) 9 (d) 10
  27. 27.What comes next? 64, 56, 48, 40, 32, ? (a) 16 (b) 25 (c) 23 (d) 24
  28. 28.What comes next? 7, 16, 11, 20, 15, 24, ? (a) 33 (b) 19 (c) 18 (d) 29
  29. 29.What comes next? 5, 8, 12, 17, 23, ? (a) 32 (b) 30 (c) 31 (d) 29
  30. 30.What comes next? 3, 4, 6, 9, 13, ? (a) 20 (b) 19 (c) 17 (d) 18
  31. 31.What comes next? 2, 11, 10, 19, 18, 27, ? (a) 25 (b) 36 (c) 28 (d) 26
  32. 32.What comes next? 5, 11, 8, 14, 11, 17, ? (a) 13 (b) 14 (c) 20 (d) 23
  33. 33.What comes next? 22, 24, 26, 28, 30, ? (a) 31 (b) 32 (c) 34 (d) 33
  34. 34.What comes next? 15, 22, 29, 36, 43, ? (a) 50 (b) 51 (c) 57 (d) 49
  35. 35.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 120 (c) 97 (d) 72
  36. 36.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 129 (c) 128 (d) 96
  37. 37.What comes next? 58, 51, 44, 37, 30, ? (a) 23 (b) 24 (c) 16 (d) 22
  38. 38.What comes next? 8, 17, 26, 35, 44, ? (a) 54 (b) 53 (c) 52 (d) 62
  39. 39.What comes next? 31, 28, 25, 22, 19, ? (a) 17 (b) 16 (c) 13 (d) 15
  40. 40.What comes next? 7, 10, 9, 12, 11, 14, ? (a) 17 (b) 12 (c) 15 (d) 13

Answer key

  1. 63
  2. 5
  3. 32
  4. 27
  5. 35
  6. 6
  7. 35
  8. 14
  9. 16
  10. 81
  11. 18
  12. 85
  13. 30
  14. 18
  15. 1
  16. 19
  17. 41
  18. 7
  19. 27
  20. 45
  21. 9
  22. 17
  23. 24
  24. 192
  25. 23
  26. 9
  27. 24
  28. 19
  29. 30
  30. 18
  31. 26
  32. 14
  33. 32
  34. 50
  35. 96
  36. 128
  37. 23
  38. 53
  39. 16
  40. 13

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