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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 506 · 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 × 54 =
  2. 2.11 × 11 =
  3. 3.111 × 111 =
  4. 4.12 × 8 + 2 =
  5. 5.1234567 × 8 + 7 =
  6. 6.12345679 × 27 =
  7. 7.37 × 12 =
  8. 8.12345679 × 36 =
  9. 9.12345679 × 72 =
  10. 10.1111 × 1111 =
  11. 11.123456 × 8 + 6 =
  12. 12.12345678 × 8 + 8 =
  13. 13.123 × 9 + 4 =
  14. 14.12345679 × 18 =
  15. 15.1234 × 8 + 4 =
  16. 16.123 × 8 + 3 =
  17. 17.12345 × 9 + 6 =
  18. 18.111111 × 111111 =
  19. 19.12345679 × 45 =
  20. 20.37 × 27 =
  21. 21.37 × 18 =
  22. 22.37 × 3 =
  23. 23.1234 × 9 + 5 =
  24. 24.37 × 15 =
  25. 25.12345679 × 9 =
  26. 26.37 × 6 =
  27. 27.12345679 × 63 =
  28. 28.37 × 21 =
  29. 29.123456 × 9 + 7 =
  30. 30.123456789 × 8 + 9 =
  31. 31.12345 × 8 + 5 =
  32. 32.12 × 9 + 3 =
  33. 33.11111 × 11111 =
  34. 34.12 × 8 + 2 =
  35. 35.37 × 24 =
  36. 36.37 × 3 =
  37. 37.37 × 18 =
  38. 38.1234567 × 9 + 8 =
  39. 39.37 × 27 =
  40. 40.111111 × 111111 =

Answer key

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

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