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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 555 · 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 × 45 =
  2. 2.12345 × 8 + 5 =
  3. 3.1234567 × 9 + 8 =
  4. 4.123456 × 8 + 6 =
  5. 5.12345679 × 54 =
  6. 6.123 × 8 + 3 =
  7. 7.12345679 × 18 =
  8. 8.37 × 6 =
  9. 9.12345679 × 81 =
  10. 10.37 × 27 =
  11. 11.11 × 11 =
  12. 12.37 × 24 =
  13. 13.111 × 111 =
  14. 14.1234567 × 8 + 7 =
  15. 15.12345679 × 72 =
  16. 16.123456789 × 8 + 9 =
  17. 17.12345679 × 27 =
  18. 18.1234 × 9 + 5 =
  19. 19.12345679 × 9 =
  20. 20.111111 × 111111 =
  21. 21.11111 × 11111 =
  22. 22.37 × 9 =
  23. 23.12 × 8 + 2 =
  24. 24.37 × 21 =
  25. 25.37 × 12 =
  26. 26.12345678 × 9 + 9 =
  27. 27.1111 × 1111 =
  28. 28.37 × 3 =
  29. 29.12345 × 9 + 6 =
  30. 30.123456 × 8 + 6 =
  31. 31.37 × 18 =
  32. 32.123456 × 9 + 7 =
  33. 33.1234 × 8 + 4 =
  34. 34.123 × 9 + 4 =
  35. 35.12345678 × 8 + 8 =
  36. 36.123 × 9 + 4 =
  37. 37.12 × 9 + 3 =
  38. 38.37 × 15 =
  39. 39.1111 × 1111 =
  40. 40.12345679 × 54 =

Answer key

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

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