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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 17 · 40 questions
TalentJR

The trick (Spot the pattern): 37 × 3 = 111, so 37 × (3 × k) is k written three times. 12345679 × 9 = 111111111, so 12345679 × (9 × k) is k written nine times. 1 × 8 + 1 = 9, 12 × 8 + 2 = 98, 123 × 8 + 3 = 987 …; and 11 × 11 = 121, 111 × 111 = 12321.

NameDateTime takenScore ___ / 40
  1. 1.123 × 8 + 3 =
  2. 2.37 × 27 =
  3. 3.123456 × 9 + 7 =
  4. 4.12345679 × 54 =
  5. 5.12345679 × 72 =
  6. 6.12345679 × 36 =
  7. 7.11 × 11 =
  8. 8.111 × 111 =
  9. 9.37 × 12 =
  10. 10.12345 × 8 + 5 =
  11. 11.1111 × 1111 =
  12. 12.1234 × 9 + 5 =
  13. 13.12 × 8 + 2 =
  14. 14.37 × 21 =
  15. 15.1234 × 8 + 4 =
  16. 16.12345679 × 63 =
  17. 17.37 × 18 =
  18. 18.12 × 9 + 3 =
  19. 19.12345679 × 27 =
  20. 20.12345679 × 9 =
  21. 21.1234567 × 8 + 7 =
  22. 22.37 × 9 =
  23. 23.12345 × 9 + 6 =
  24. 24.12345678 × 9 + 9 =
  25. 25.11111 × 11111 =
  26. 26.37 × 3 =
  27. 27.12345678 × 8 + 8 =
  28. 28.1234567 × 9 + 8 =
  29. 29.37 × 24 =
  30. 30.123456 × 8 + 6 =
  31. 31.37 × 6 =
  32. 32.12345679 × 45 =
  33. 33.12345679 × 81 =
  34. 34.12345679 × 18 =
  35. 35.1111 × 1111 =
  36. 36.123 × 9 + 4 =
  37. 37.37 × 15 =
  38. 38.11 × 11 =
  39. 39.111111 × 111111 =
  40. 40.11111 × 11111 =

Answer key

  1. 987
  2. 999
  3. 1111111
  4. 666666666
  5. 888888888
  6. 444444444
  7. 121
  8. 12321
  9. 444
  10. 98765
  11. 1234321
  12. 11111
  13. 98
  14. 777
  15. 9876
  16. 777777777
  17. 666
  18. 111
  19. 333333333
  20. 111111111
  21. 9876543
  22. 333
  23. 111111
  24. 111111111
  25. 123454321
  26. 111
  27. 98765432
  28. 11111111
  29. 888
  30. 987654
  31. 222
  32. 555555555
  33. 999999999
  34. 222222222
  35. 1234321
  36. 1111
  37. 555
  38. 121
  39. 12345654321
  40. 123454321

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