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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 338 · 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 × 27 =
  2. 2.12345679 × 45 =
  3. 3.1111 × 1111 =
  4. 4.37 × 18 =
  5. 5.123 × 8 + 3 =
  6. 6.37 × 3 =
  7. 7.12345679 × 63 =
  8. 8.123 × 9 + 4 =
  9. 9.12345679 × 72 =
  10. 10.37 × 21 =
  11. 11.111 × 111 =
  12. 12.37 × 9 =
  13. 13.1234 × 9 + 5 =
  14. 14.11 × 11 =
  15. 15.37 × 12 =
  16. 16.123456 × 8 + 6 =
  17. 17.12345679 × 54 =
  18. 18.12345678 × 8 + 8 =
  19. 19.12345679 × 81 =
  20. 20.12345679 × 18 =
  21. 21.12 × 9 + 3 =
  22. 22.12 × 8 + 2 =
  23. 23.1234567 × 9 + 8 =
  24. 24.11111 × 11111 =
  25. 25.111111 × 111111 =
  26. 26.123456 × 9 + 7 =
  27. 27.123456789 × 8 + 9 =
  28. 28.37 × 6 =
  29. 29.12345679 × 36 =
  30. 30.12345679 × 9 =
  31. 31.12345 × 8 + 5 =
  32. 32.1234567 × 8 + 7 =
  33. 33.12345 × 9 + 6 =
  34. 34.12345678 × 9 + 9 =
  35. 35.1111 × 1111 =
  36. 36.1234 × 8 + 4 =
  37. 37.12345679 × 9 =
  38. 38.37 × 24 =
  39. 39.37 × 27 =
  40. 40.123456 × 8 + 6 =

Answer key

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

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