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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 732 · 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. 1.123456 × 8 + 6 =
  2. 2.123456 × 9 + 7 =
  3. 3.12345679 × 63 =
  4. 4.1111 × 1111 =
  5. 5.12345679 × 27 =
  6. 6.111 × 111 =
  7. 7.12345 × 8 + 5 =
  8. 8.37 × 6 =
  9. 9.12345679 × 9 =
  10. 10.12 × 9 + 3 =
  11. 11.1234567 × 9 + 8 =
  12. 12.12 × 8 + 2 =
  13. 13.37 × 27 =
  14. 14.37 × 24 =
  15. 15.37 × 9 =
  16. 16.12345679 × 36 =
  17. 17.12345679 × 81 =
  18. 18.12345679 × 45 =
  19. 19.123 × 8 + 3 =
  20. 20.12345678 × 9 + 9 =
  21. 21.123 × 9 + 4 =
  22. 22.11111 × 11111 =
  23. 23.1234 × 8 + 4 =
  24. 24.1234567 × 8 + 7 =
  25. 25.37 × 3 =
  26. 26.12345679 × 72 =
  27. 27.123456789 × 8 + 9 =
  28. 28.11 × 11 =
  29. 29.12345679 × 18 =
  30. 30.111111 × 111111 =
  31. 31.37 × 21 =
  32. 32.1234 × 9 + 5 =
  33. 33.12345679 × 54 =
  34. 34.12345679 × 45 =
  35. 35.12345 × 9 + 6 =
  36. 36.37 × 15 =
  37. 37.37 × 18 =
  38. 38.1234 × 8 + 4 =
  39. 39.12345678 × 8 + 8 =
  40. 40.12345678 × 9 + 9 =

Answer key

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

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