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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 661 · 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 × 3 =
  2. 2.12345679 × 36 =
  3. 3.1234567 × 9 + 8 =
  4. 4.12345 × 8 + 5 =
  5. 5.12345679 × 18 =
  6. 6.12345678 × 8 + 8 =
  7. 7.12345 × 9 + 6 =
  8. 8.12 × 8 + 2 =
  9. 9.123 × 9 + 4 =
  10. 10.123456 × 8 + 6 =
  11. 11.12345679 × 72 =
  12. 12.1111 × 1111 =
  13. 13.12345679 × 54 =
  14. 14.1234567 × 8 + 7 =
  15. 15.111111 × 111111 =
  16. 16.37 × 21 =
  17. 17.123456 × 9 + 7 =
  18. 18.11 × 11 =
  19. 19.12345679 × 27 =
  20. 20.37 × 9 =
  21. 21.11111 × 11111 =
  22. 22.1234 × 8 + 4 =
  23. 23.12345678 × 9 + 9 =
  24. 24.12345679 × 45 =
  25. 25.37 × 15 =
  26. 26.37 × 18 =
  27. 27.12 × 9 + 3 =
  28. 28.37 × 24 =
  29. 29.12345679 × 63 =
  30. 30.1234 × 9 + 5 =
  31. 31.111 × 111 =
  32. 32.123 × 8 + 3 =
  33. 33.12345679 × 9 =
  34. 34.37 × 27 =
  35. 35.123456789 × 8 + 9 =
  36. 36.12345 × 9 + 6 =
  37. 37.37 × 6 =
  38. 38.12345679 × 81 =
  39. 39.37 × 15 =
  40. 40.123456 × 9 + 7 =

Answer key

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

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