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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 194 · 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 × 18 =
  2. 2.11 × 11 =
  3. 3.12345679 × 63 =
  4. 4.12345 × 9 + 6 =
  5. 5.12345679 × 72 =
  6. 6.12345 × 8 + 5 =
  7. 7.1234567 × 8 + 7 =
  8. 8.111 × 111 =
  9. 9.12345678 × 8 + 8 =
  10. 10.1111 × 1111 =
  11. 11.12345679 × 27 =
  12. 12.111111 × 111111 =
  13. 13.11111 × 11111 =
  14. 14.12345679 × 45 =
  15. 15.12345679 × 81 =
  16. 16.12 × 9 + 3 =
  17. 17.37 × 6 =
  18. 18.37 × 15 =
  19. 19.37 × 9 =
  20. 20.123 × 8 + 3 =
  21. 21.123456789 × 8 + 9 =
  22. 22.37 × 27 =
  23. 23.12 × 8 + 2 =
  24. 24.12345678 × 9 + 9 =
  25. 25.1234567 × 9 + 8 =
  26. 26.123456 × 8 + 6 =
  27. 27.37 × 24 =
  28. 28.37 × 18 =
  29. 29.37 × 21 =
  30. 30.123456 × 9 + 7 =
  31. 31.123 × 9 + 4 =
  32. 32.12345679 × 36 =
  33. 33.37 × 12 =
  34. 34.12345679 × 72 =
  35. 35.12345679 × 9 =
  36. 36.123456 × 9 + 7 =
  37. 37.1234 × 9 + 5 =
  38. 38.12345679 × 54 =
  39. 39.12345679 × 18 =
  40. 40.1234 × 8 + 4 =

Answer key

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

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