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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 704 · 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. 2.11 × 11 =
  3. 3.12345 × 9 + 6 =
  4. 4.12345678 × 9 + 9 =
  5. 5.12 × 9 + 3 =
  6. 6.37 × 18 =
  7. 7.12345679 × 81 =
  8. 8.37 × 9 =
  9. 9.12 × 8 + 2 =
  10. 10.123456 × 9 + 7 =
  11. 11.12345679 × 36 =
  12. 12.111111 × 111111 =
  13. 13.1234567 × 9 + 8 =
  14. 14.12345679 × 45 =
  15. 15.12345678 × 8 + 8 =
  16. 16.37 × 3 =
  17. 17.12345679 × 18 =
  18. 18.12345 × 8 + 5 =
  19. 19.37 × 24 =
  20. 20.37 × 27 =
  21. 21.37 × 12 =
  22. 22.37 × 21 =
  23. 23.123456 × 8 + 6 =
  24. 24.12345679 × 54 =
  25. 25.1234 × 8 + 4 =
  26. 26.123456789 × 8 + 9 =
  27. 27.123 × 9 + 4 =
  28. 28.12345679 × 27 =
  29. 29.111 × 111 =
  30. 30.1111 × 1111 =
  31. 31.12345679 × 9 =
  32. 32.123 × 8 + 3 =
  33. 33.11111 × 11111 =
  34. 34.37 × 15 =
  35. 35.1234 × 9 + 5 =
  36. 36.123 × 8 + 3 =
  37. 37.12345679 × 63 =
  38. 38.1234567 × 8 + 7 =
  39. 39.12345679 × 72 =
  40. 40.37 × 15 =

Answer key

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

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