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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 738 · 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. 1.12345 × 8 + 5 =
  2. 2.37 × 3 =
  3. 3.12 × 8 + 2 =
  4. 4.111111 × 111111 =
  5. 5.11 × 11 =
  6. 6.12345679 × 81 =
  7. 7.123456789 × 8 + 9 =
  8. 8.12 × 9 + 3 =
  9. 9.123 × 8 + 3 =
  10. 10.12345678 × 8 + 8 =
  11. 11.123456 × 8 + 6 =
  12. 12.37 × 9 =
  13. 13.37 × 21 =
  14. 14.12345679 × 27 =
  15. 15.11111 × 11111 =
  16. 16.12345679 × 72 =
  17. 17.12345 × 9 + 6 =
  18. 18.12345678 × 9 + 9 =
  19. 19.1234567 × 9 + 8 =
  20. 20.12345679 × 36 =
  21. 21.37 × 27 =
  22. 22.37 × 15 =
  23. 23.12345679 × 54 =
  24. 24.37 × 18 =
  25. 25.111 × 111 =
  26. 26.1234 × 9 + 5 =
  27. 27.37 × 24 =
  28. 28.123456 × 9 + 7 =
  29. 29.1111 × 1111 =
  30. 30.37 × 12 =
  31. 31.37 × 6 =
  32. 32.12345679 × 9 =
  33. 33.1234 × 8 + 4 =
  34. 34.12345679 × 63 =
  35. 35.12345679 × 18 =
  36. 36.123 × 9 + 4 =
  37. 37.1234567 × 8 + 7 =
  38. 38.12345679 × 72 =
  39. 39.12 × 9 + 3 =
  40. 40.12345679 × 45 =

Answer key

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

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