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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 747 · 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. 1.12345 × 8 + 5 =
  2. 2.111111 × 111111 =
  3. 3.12345679 × 81 =
  4. 4.1111 × 1111 =
  5. 5.12345679 × 27 =
  6. 6.12345678 × 8 + 8 =
  7. 7.123456 × 9 + 7 =
  8. 8.123456789 × 8 + 9 =
  9. 9.37 × 21 =
  10. 10.12345 × 9 + 6 =
  11. 11.12345679 × 18 =
  12. 12.37 × 9 =
  13. 13.37 × 27 =
  14. 14.123456 × 8 + 6 =
  15. 15.111 × 111 =
  16. 16.1234 × 9 + 5 =
  17. 17.37 × 12 =
  18. 18.11111 × 11111 =
  19. 19.12345678 × 9 + 9 =
  20. 20.11 × 11 =
  21. 21.12345679 × 45 =
  22. 22.1234567 × 8 + 7 =
  23. 23.37 × 3 =
  24. 24.12345679 × 9 =
  25. 25.37 × 15 =
  26. 26.37 × 24 =
  27. 27.37 × 6 =
  28. 28.12345679 × 36 =
  29. 29.1234 × 8 + 4 =
  30. 30.1234567 × 9 + 8 =
  31. 31.12345679 × 63 =
  32. 32.12 × 8 + 2 =
  33. 33.123 × 9 + 4 =
  34. 34.12 × 9 + 3 =
  35. 35.12345679 × 72 =
  36. 36.123456 × 9 + 7 =
  37. 37.123456789 × 8 + 9 =
  38. 38.12345679 × 54 =
  39. 39.37 × 15 =
  40. 40.12345679 × 9 =

Answer key

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

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