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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 501 · 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 × 18 =
  2. 2.37 × 6 =
  3. 3.1111 × 1111 =
  4. 4.111111 × 111111 =
  5. 5.12345678 × 8 + 8 =
  6. 6.111 × 111 =
  7. 7.11111 × 11111 =
  8. 8.12345679 × 18 =
  9. 9.12345 × 8 + 5 =
  10. 10.123456789 × 8 + 9 =
  11. 11.12345679 × 72 =
  12. 12.123456 × 8 + 6 =
  13. 13.123 × 8 + 3 =
  14. 14.12 × 8 + 2 =
  15. 15.1234 × 8 + 4 =
  16. 16.123 × 9 + 4 =
  17. 17.37 × 9 =
  18. 18.37 × 3 =
  19. 19.12345679 × 9 =
  20. 20.11 × 11 =
  21. 21.37 × 27 =
  22. 22.123456 × 9 + 7 =
  23. 23.12345679 × 45 =
  24. 24.12345679 × 81 =
  25. 25.12345 × 9 + 6 =
  26. 26.37 × 15 =
  27. 27.1234567 × 9 + 8 =
  28. 28.1234 × 9 + 5 =
  29. 29.12345679 × 54 =
  30. 30.12 × 9 + 3 =
  31. 31.12345679 × 27 =
  32. 32.12345678 × 9 + 9 =
  33. 33.12345679 × 63 =
  34. 34.37 × 21 =
  35. 35.37 × 24 =
  36. 36.12345679 × 36 =
  37. 37.12345679 × 9 =
  38. 38.37 × 12 =
  39. 39.12 × 9 + 3 =
  40. 40.12345679 × 18 =

Answer key

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

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