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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 145 · 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. 1.37 × 9 =
  2. 2.111 × 111 =
  3. 3.12345679 × 72 =
  4. 4.12 × 8 + 2 =
  5. 5.12345679 × 27 =
  6. 6.12345678 × 9 + 9 =
  7. 7.1234 × 8 + 4 =
  8. 8.37 × 12 =
  9. 9.37 × 15 =
  10. 10.37 × 21 =
  11. 11.123456 × 9 + 7 =
  12. 12.1234 × 9 + 5 =
  13. 13.12345679 × 54 =
  14. 14.12345679 × 18 =
  15. 15.11111 × 11111 =
  16. 16.12345679 × 45 =
  17. 17.1234567 × 9 + 8 =
  18. 18.11 × 11 =
  19. 19.1111 × 1111 =
  20. 20.111111 × 111111 =
  21. 21.37 × 6 =
  22. 22.37 × 24 =
  23. 23.12345679 × 81 =
  24. 24.12 × 9 + 3 =
  25. 25.37 × 27 =
  26. 26.12345 × 9 + 6 =
  27. 27.12345679 × 9 =
  28. 28.123456789 × 8 + 9 =
  29. 29.12345679 × 63 =
  30. 30.1234567 × 8 + 7 =
  31. 31.123 × 8 + 3 =
  32. 32.123456 × 8 + 6 =
  33. 33.123 × 9 + 4 =
  34. 34.37 × 3 =
  35. 35.37 × 15 =
  36. 36.12345 × 8 + 5 =
  37. 37.12345678 × 8 + 8 =
  38. 38.37 × 18 =
  39. 39.12345679 × 27 =
  40. 40.111111 × 111111 =

Answer key

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

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