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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 575 · 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. 2.37 × 21 =
  3. 3.111 × 111 =
  4. 4.12345 × 8 + 5 =
  5. 5.37 × 15 =
  6. 6.12345679 × 9 =
  7. 7.37 × 9 =
  8. 8.123 × 9 + 4 =
  9. 9.111111 × 111111 =
  10. 10.11 × 11 =
  11. 11.1234 × 8 + 4 =
  12. 12.37 × 12 =
  13. 13.12345 × 9 + 6 =
  14. 14.37 × 3 =
  15. 15.1111 × 1111 =
  16. 16.11111 × 11111 =
  17. 17.1234567 × 9 + 8 =
  18. 18.37 × 27 =
  19. 19.12 × 9 + 3 =
  20. 20.12345678 × 8 + 8 =
  21. 21.12345679 × 18 =
  22. 22.37 × 24 =
  23. 23.12345678 × 9 + 9 =
  24. 24.1234567 × 8 + 7 =
  25. 25.12345679 × 72 =
  26. 26.123456 × 8 + 6 =
  27. 27.123456 × 9 + 7 =
  28. 28.12345679 × 63 =
  29. 29.123 × 8 + 3 =
  30. 30.12345679 × 81 =
  31. 31.12 × 8 + 2 =
  32. 32.12345679 × 45 =
  33. 33.37 × 6 =
  34. 34.12 × 9 + 3 =
  35. 35.37 × 18 =
  36. 36.1234 × 9 + 5 =
  37. 37.11111 × 11111 =
  38. 38.12345679 × 36 =
  39. 39.12345679 × 9 =
  40. 40.37 × 15 =

Answer key

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

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