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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 521 · 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 × 18 =
  2. 2.12345679 × 81 =
  3. 3.37 × 3 =
  4. 4.1234567 × 8 + 7 =
  5. 5.1234 × 8 + 4 =
  6. 6.1234 × 9 + 5 =
  7. 7.123 × 8 + 3 =
  8. 8.111 × 111 =
  9. 9.12345 × 9 + 6 =
  10. 10.12345679 × 27 =
  11. 11.37 × 9 =
  12. 12.12345679 × 72 =
  13. 13.12345679 × 36 =
  14. 14.37 × 24 =
  15. 15.12 × 8 + 2 =
  16. 16.12345679 × 45 =
  17. 17.123456789 × 8 + 9 =
  18. 18.37 × 15 =
  19. 19.12345678 × 9 + 9 =
  20. 20.1111 × 1111 =
  21. 21.37 × 21 =
  22. 22.37 × 27 =
  23. 23.1234567 × 9 + 8 =
  24. 24.37 × 6 =
  25. 25.111111 × 111111 =
  26. 26.12 × 9 + 3 =
  27. 27.123456 × 8 + 6 =
  28. 28.123 × 9 + 4 =
  29. 29.12345679 × 9 =
  30. 30.12345 × 8 + 5 =
  31. 31.11 × 11 =
  32. 32.123456 × 9 + 7 =
  33. 33.12345679 × 63 =
  34. 34.37 × 12 =
  35. 35.11111 × 11111 =
  36. 36.12345679 × 63 =
  37. 37.12345679 × 81 =
  38. 38.12345678 × 8 + 8 =
  39. 39.12345679 × 45 =
  40. 40.11 × 11 =

Answer key

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

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