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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 486 · 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. 1.37 × 27 =
  2. 2.111 × 111 =
  3. 3.1234567 × 8 + 7 =
  4. 4.12 × 8 + 2 =
  5. 5.12345679 × 81 =
  6. 6.1111 × 1111 =
  7. 7.12345679 × 18 =
  8. 8.12345679 × 45 =
  9. 9.12345679 × 9 =
  10. 10.37 × 24 =
  11. 11.123456 × 9 + 7 =
  12. 12.12345679 × 36 =
  13. 13.12345678 × 9 + 9 =
  14. 14.123 × 8 + 3 =
  15. 15.11111 × 11111 =
  16. 16.37 × 6 =
  17. 17.12 × 9 + 3 =
  18. 18.111111 × 111111 =
  19. 19.37 × 18 =
  20. 20.12345679 × 63 =
  21. 21.37 × 9 =
  22. 22.37 × 3 =
  23. 23.12345 × 8 + 5 =
  24. 24.11 × 11 =
  25. 25.1234 × 8 + 4 =
  26. 26.37 × 15 =
  27. 27.123 × 9 + 4 =
  28. 28.1234 × 9 + 5 =
  29. 29.12345678 × 8 + 8 =
  30. 30.12345 × 9 + 6 =
  31. 31.37 × 3 =
  32. 32.12345 × 9 + 6 =
  33. 33.12345 × 8 + 5 =
  34. 34.123456789 × 8 + 9 =
  35. 35.1234567 × 9 + 8 =
  36. 36.12345679 × 27 =
  37. 37.123456 × 8 + 6 =
  38. 38.37 × 21 =
  39. 39.12345679 × 54 =
  40. 40.37 × 12 =

Answer key

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

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