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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 733 · 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. 1.11 × 11 =
  2. 2.12345678 × 8 + 8 =
  3. 3.12345678 × 9 + 9 =
  4. 4.37 × 15 =
  5. 5.12345679 × 9 =
  6. 6.37 × 18 =
  7. 7.12345679 × 36 =
  8. 8.12345679 × 72 =
  9. 9.11111 × 11111 =
  10. 10.12345679 × 63 =
  11. 11.111111 × 111111 =
  12. 12.12345 × 9 + 6 =
  13. 13.1234567 × 9 + 8 =
  14. 14.37 × 24 =
  15. 15.1234567 × 8 + 7 =
  16. 16.12345679 × 45 =
  17. 17.12 × 9 + 3 =
  18. 18.1111 × 1111 =
  19. 19.123456 × 9 + 7 =
  20. 20.37 × 21 =
  21. 21.37 × 6 =
  22. 22.12345679 × 81 =
  23. 23.123456 × 8 + 6 =
  24. 24.12345679 × 18 =
  25. 25.1234 × 9 + 5 =
  26. 26.12345679 × 54 =
  27. 27.111 × 111 =
  28. 28.123 × 8 + 3 =
  29. 29.12345 × 8 + 5 =
  30. 30.123 × 9 + 4 =
  31. 31.37 × 12 =
  32. 32.37 × 3 =
  33. 33.123456789 × 8 + 9 =
  34. 34.37 × 27 =
  35. 35.12345679 × 27 =
  36. 36.12 × 8 + 2 =
  37. 37.37 × 9 =
  38. 38.1234 × 8 + 4 =
  39. 39.111111 × 111111 =
  40. 40.123456 × 8 + 6 =

Answer key

  1. 121
  2. 98765432
  3. 111111111
  4. 555
  5. 111111111
  6. 666
  7. 444444444
  8. 888888888
  9. 123454321
  10. 777777777
  11. 12345654321
  12. 111111
  13. 11111111
  14. 888
  15. 9876543
  16. 555555555
  17. 111
  18. 1234321
  19. 1111111
  20. 777
  21. 222
  22. 999999999
  23. 987654
  24. 222222222
  25. 11111
  26. 666666666
  27. 12321
  28. 987
  29. 98765
  30. 1111
  31. 444
  32. 111
  33. 987654321
  34. 999
  35. 333333333
  36. 98
  37. 333
  38. 9876
  39. 12345654321
  40. 987654

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