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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 683 · 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. 1.111 × 111 =
  2. 2.1234 × 9 + 5 =
  3. 3.12345678 × 8 + 8 =
  4. 4.12345679 × 45 =
  5. 5.123456 × 8 + 6 =
  6. 6.12345679 × 36 =
  7. 7.12345679 × 54 =
  8. 8.1111 × 1111 =
  9. 9.12 × 9 + 3 =
  10. 10.37 × 6 =
  11. 11.12345678 × 9 + 9 =
  12. 12.123 × 9 + 4 =
  13. 13.123456 × 9 + 7 =
  14. 14.37 × 24 =
  15. 15.12345 × 8 + 5 =
  16. 16.37 × 3 =
  17. 17.123456789 × 8 + 9 =
  18. 18.11111 × 11111 =
  19. 19.37 × 15 =
  20. 20.11 × 11 =
  21. 21.12345679 × 18 =
  22. 22.111111 × 111111 =
  23. 23.37 × 27 =
  24. 24.12345679 × 9 =
  25. 25.12345679 × 27 =
  26. 26.37 × 12 =
  27. 27.12345679 × 81 =
  28. 28.1234567 × 8 + 7 =
  29. 29.12345 × 9 + 6 =
  30. 30.1234 × 8 + 4 =
  31. 31.12 × 8 + 2 =
  32. 32.37 × 18 =
  33. 33.12345679 × 63 =
  34. 34.1234567 × 9 + 8 =
  35. 35.123 × 8 + 3 =
  36. 36.37 × 9 =
  37. 37.111111 × 111111 =
  38. 38.37 × 21 =
  39. 39.12345 × 9 + 6 =
  40. 40.12345679 × 54 =

Answer key

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

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