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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 168 · 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. 1.12345679 × 9 =
  2. 2.12 × 9 + 3 =
  3. 3.1234567 × 9 + 8 =
  4. 4.12 × 8 + 2 =
  5. 5.12345679 × 45 =
  6. 6.111111 × 111111 =
  7. 7.1234567 × 8 + 7 =
  8. 8.12345 × 9 + 6 =
  9. 9.37 × 15 =
  10. 10.12345678 × 8 + 8 =
  11. 11.123 × 8 + 3 =
  12. 12.37 × 18 =
  13. 13.11111 × 11111 =
  14. 14.37 × 27 =
  15. 15.123456789 × 8 + 9 =
  16. 16.37 × 6 =
  17. 17.11 × 11 =
  18. 18.37 × 24 =
  19. 19.12345679 × 54 =
  20. 20.12345679 × 72 =
  21. 21.37 × 3 =
  22. 22.37 × 9 =
  23. 23.1111 × 1111 =
  24. 24.12345679 × 81 =
  25. 25.37 × 12 =
  26. 26.123 × 9 + 4 =
  27. 27.12345679 × 36 =
  28. 28.1234 × 8 + 4 =
  29. 29.12345 × 8 + 5 =
  30. 30.123456 × 8 + 6 =
  31. 31.111 × 111 =
  32. 32.12345679 × 18 =
  33. 33.12345679 × 63 =
  34. 34.12345679 × 27 =
  35. 35.37 × 21 =
  36. 36.123456 × 9 + 7 =
  37. 37.1234 × 9 + 5 =
  38. 38.123456 × 9 + 7 =
  39. 39.37 × 3 =
  40. 40.12345678 × 9 + 9 =

Answer key

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

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