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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 335 · 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 × 36 =
  2. 2.1234567 × 9 + 8 =
  3. 3.111 × 111 =
  4. 4.37 × 18 =
  5. 5.37 × 15 =
  6. 6.123456 × 8 + 6 =
  7. 7.12 × 9 + 3 =
  8. 8.123456 × 9 + 7 =
  9. 9.12345679 × 27 =
  10. 10.111111 × 111111 =
  11. 11.12 × 8 + 2 =
  12. 12.12345679 × 45 =
  13. 13.123 × 9 + 4 =
  14. 14.11111 × 11111 =
  15. 15.37 × 24 =
  16. 16.37 × 9 =
  17. 17.12345679 × 18 =
  18. 18.37 × 12 =
  19. 19.11 × 11 =
  20. 20.123 × 8 + 3 =
  21. 21.12345678 × 8 + 8 =
  22. 22.12345 × 9 + 6 =
  23. 23.12345679 × 63 =
  24. 24.12345679 × 54 =
  25. 25.37 × 21 =
  26. 26.123456789 × 8 + 9 =
  27. 27.1234567 × 8 + 7 =
  28. 28.12345678 × 9 + 9 =
  29. 29.37 × 6 =
  30. 30.1111 × 1111 =
  31. 31.12345679 × 9 =
  32. 32.1234 × 8 + 4 =
  33. 33.37 × 3 =
  34. 34.12345 × 8 + 5 =
  35. 35.37 × 27 =
  36. 36.12345679 × 72 =
  37. 37.12345679 × 81 =
  38. 38.123 × 9 + 4 =
  39. 39.1234 × 9 + 5 =
  40. 40.111111 × 111111 =

Answer key

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

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