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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 350 · 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. 1.11 × 11 =
  2. 2.37 × 27 =
  3. 3.12 × 9 + 3 =
  4. 4.123 × 8 + 3 =
  5. 5.12345679 × 81 =
  6. 6.111 × 111 =
  7. 7.37 × 6 =
  8. 8.111111 × 111111 =
  9. 9.12345678 × 9 + 9 =
  10. 10.12345678 × 8 + 8 =
  11. 11.123456 × 8 + 6 =
  12. 12.12345 × 9 + 6 =
  13. 13.37 × 12 =
  14. 14.1111 × 1111 =
  15. 15.12345679 × 36 =
  16. 16.37 × 24 =
  17. 17.37 × 15 =
  18. 18.12345679 × 18 =
  19. 19.123456789 × 8 + 9 =
  20. 20.12345679 × 27 =
  21. 21.1234 × 8 + 4 =
  22. 22.1234 × 9 + 5 =
  23. 23.12345679 × 45 =
  24. 24.123456 × 9 + 7 =
  25. 25.1234567 × 9 + 8 =
  26. 26.37 × 9 =
  27. 27.123 × 9 + 4 =
  28. 28.12345679 × 54 =
  29. 29.12345679 × 63 =
  30. 30.12345 × 8 + 5 =
  31. 31.37 × 21 =
  32. 32.12345679 × 72 =
  33. 33.37 × 18 =
  34. 34.37 × 27 =
  35. 35.12 × 8 + 2 =
  36. 36.123456 × 8 + 6 =
  37. 37.1234567 × 8 + 7 =
  38. 38.37 × 3 =
  39. 39.11111 × 11111 =
  40. 40.12345679 × 9 =

Answer key

  1. 121
  2. 999
  3. 111
  4. 987
  5. 999999999
  6. 12321
  7. 222
  8. 12345654321
  9. 111111111
  10. 98765432
  11. 987654
  12. 111111
  13. 444
  14. 1234321
  15. 444444444
  16. 888
  17. 555
  18. 222222222
  19. 987654321
  20. 333333333
  21. 9876
  22. 11111
  23. 555555555
  24. 1111111
  25. 11111111
  26. 333
  27. 1111
  28. 666666666
  29. 777777777
  30. 98765
  31. 777
  32. 888888888
  33. 666
  34. 999
  35. 98
  36. 987654
  37. 9876543
  38. 111
  39. 123454321
  40. 111111111

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