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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 73 · 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. 1.111111 × 111111 =
  2. 2.12 × 8 + 2 =
  3. 3.1234567 × 9 + 8 =
  4. 4.12345678 × 8 + 8 =
  5. 5.12345679 × 72 =
  6. 6.12345 × 8 + 5 =
  7. 7.12345679 × 27 =
  8. 8.1234 × 9 + 5 =
  9. 9.12345679 × 18 =
  10. 10.123456 × 8 + 6 =
  11. 11.11 × 11 =
  12. 12.12 × 9 + 3 =
  13. 13.11111 × 11111 =
  14. 14.1111 × 1111 =
  15. 15.12345 × 9 + 6 =
  16. 16.12345679 × 54 =
  17. 17.12345679 × 63 =
  18. 18.37 × 3 =
  19. 19.1234 × 8 + 4 =
  20. 20.12345679 × 9 =
  21. 21.12345678 × 9 + 9 =
  22. 22.12345679 × 45 =
  23. 23.37 × 15 =
  24. 24.111 × 111 =
  25. 25.37 × 24 =
  26. 26.12345679 × 36 =
  27. 27.37 × 21 =
  28. 28.123456789 × 8 + 9 =
  29. 29.37 × 9 =
  30. 30.123 × 9 + 4 =
  31. 31.12345679 × 81 =
  32. 32.37 × 6 =
  33. 33.123456 × 9 + 7 =
  34. 34.1234567 × 8 + 7 =
  35. 35.37 × 18 =
  36. 36.123 × 8 + 3 =
  37. 37.37 × 9 =
  38. 38.37 × 12 =
  39. 39.1111 × 1111 =
  40. 40.11 × 11 =

Answer key

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

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