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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 714 · 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 × 15 =
  2. 2.11 × 11 =
  3. 3.12345 × 8 + 5 =
  4. 4.123 × 9 + 4 =
  5. 5.12345679 × 54 =
  6. 6.123456 × 8 + 6 =
  7. 7.12345 × 9 + 6 =
  8. 8.111111 × 111111 =
  9. 9.37 × 27 =
  10. 10.12345679 × 27 =
  11. 11.12345679 × 81 =
  12. 12.12345679 × 72 =
  13. 13.12 × 9 + 3 =
  14. 14.12345679 × 45 =
  15. 15.111 × 111 =
  16. 16.37 × 12 =
  17. 17.12 × 8 + 2 =
  18. 18.12345679 × 9 =
  19. 19.123456789 × 8 + 9 =
  20. 20.37 × 6 =
  21. 21.11111 × 11111 =
  22. 22.37 × 24 =
  23. 23.1234 × 9 + 5 =
  24. 24.37 × 3 =
  25. 25.1234567 × 8 + 7 =
  26. 26.12345678 × 9 + 9 =
  27. 27.12345679 × 63 =
  28. 28.12345678 × 8 + 8 =
  29. 29.37 × 18 =
  30. 30.37 × 21 =
  31. 31.37 × 9 =
  32. 32.12345679 × 36 =
  33. 33.12345679 × 18 =
  34. 34.1234567 × 9 + 8 =
  35. 35.1111 × 1111 =
  36. 36.1234 × 8 + 4 =
  37. 37.123456 × 9 + 7 =
  38. 38.123 × 8 + 3 =
  39. 39.11111 × 11111 =
  40. 40.12345679 × 9 =

Answer key

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

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