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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 495 · 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 × 72 =
  2. 2.12345679 × 63 =
  3. 3.12345 × 9 + 6 =
  4. 4.11 × 11 =
  5. 5.1111 × 1111 =
  6. 6.111 × 111 =
  7. 7.12345679 × 45 =
  8. 8.123456 × 8 + 6 =
  9. 9.12 × 9 + 3 =
  10. 10.123 × 8 + 3 =
  11. 11.37 × 21 =
  12. 12.111111 × 111111 =
  13. 13.37 × 15 =
  14. 14.12 × 8 + 2 =
  15. 15.37 × 3 =
  16. 16.12345679 × 18 =
  17. 17.1234567 × 9 + 8 =
  18. 18.123456789 × 8 + 9 =
  19. 19.12345679 × 9 =
  20. 20.37 × 27 =
  21. 21.1234567 × 8 + 7 =
  22. 22.37 × 12 =
  23. 23.1234 × 8 + 4 =
  24. 24.12345679 × 27 =
  25. 25.1234 × 9 + 5 =
  26. 26.37 × 9 =
  27. 27.37 × 24 =
  28. 28.12345678 × 9 + 9 =
  29. 29.12345679 × 81 =
  30. 30.37 × 18 =
  31. 31.11111 × 11111 =
  32. 32.12345679 × 54 =
  33. 33.12345678 × 8 + 8 =
  34. 34.12345679 × 9 =
  35. 35.12345 × 8 + 5 =
  36. 36.1234 × 9 + 5 =
  37. 37.11 × 11 =
  38. 38.12345679 × 36 =
  39. 39.37 × 6 =
  40. 40.111111 × 111111 =

Answer key

  1. 888888888
  2. 777777777
  3. 111111
  4. 121
  5. 1234321
  6. 12321
  7. 555555555
  8. 987654
  9. 111
  10. 987
  11. 777
  12. 12345654321
  13. 555
  14. 98
  15. 111
  16. 222222222
  17. 11111111
  18. 987654321
  19. 111111111
  20. 999
  21. 9876543
  22. 444
  23. 9876
  24. 333333333
  25. 11111
  26. 333
  27. 888
  28. 111111111
  29. 999999999
  30. 666
  31. 123454321
  32. 666666666
  33. 98765432
  34. 111111111
  35. 98765
  36. 11111
  37. 121
  38. 444444444
  39. 222
  40. 12345654321

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