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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 708 · 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. 2.12345679 × 45 =
  3. 3.37 × 9 =
  4. 4.12345679 × 18 =
  5. 5.12345679 × 54 =
  6. 6.11111 × 11111 =
  7. 7.11 × 11 =
  8. 8.37 × 6 =
  9. 9.12345 × 8 + 5 =
  10. 10.123456 × 9 + 7 =
  11. 11.37 × 12 =
  12. 12.12345679 × 36 =
  13. 13.12345679 × 72 =
  14. 14.37 × 18 =
  15. 15.12345679 × 27 =
  16. 16.123456789 × 8 + 9 =
  17. 17.37 × 24 =
  18. 18.1234567 × 8 + 7 =
  19. 19.1234 × 8 + 4 =
  20. 20.111 × 111 =
  21. 21.123 × 8 + 3 =
  22. 22.12345679 × 81 =
  23. 23.123456 × 8 + 6 =
  24. 24.37 × 21 =
  25. 25.37 × 27 =
  26. 26.12345679 × 63 =
  27. 27.12345 × 9 + 6 =
  28. 28.111111 × 111111 =
  29. 29.1234567 × 9 + 8 =
  30. 30.12345678 × 8 + 8 =
  31. 31.123 × 9 + 4 =
  32. 32.37 × 15 =
  33. 33.12 × 9 + 3 =
  34. 34.1111 × 1111 =
  35. 35.12 × 8 + 2 =
  36. 36.1234 × 9 + 5 =
  37. 37.37 × 3 =
  38. 38.12345678 × 9 + 9 =
  39. 39.12345678 × 9 + 9 =
  40. 40.123456 × 8 + 6 =

Answer key

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

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