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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 266 · 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. 1.1234567 × 9 + 8 =
  2. 2.1234 × 8 + 4 =
  3. 3.123 × 9 + 4 =
  4. 4.37 × 9 =
  5. 5.12345679 × 36 =
  6. 6.1234567 × 8 + 7 =
  7. 7.12 × 8 + 2 =
  8. 8.12345679 × 27 =
  9. 9.12345679 × 18 =
  10. 10.37 × 24 =
  11. 11.37 × 21 =
  12. 12.12345679 × 63 =
  13. 13.37 × 3 =
  14. 14.12345679 × 54 =
  15. 15.12345679 × 45 =
  16. 16.12345 × 8 + 5 =
  17. 17.12345679 × 9 =
  18. 18.111 × 111 =
  19. 19.11111 × 11111 =
  20. 20.12 × 9 + 3 =
  21. 21.37 × 6 =
  22. 22.11 × 11 =
  23. 23.123456789 × 8 + 9 =
  24. 24.12345 × 9 + 6 =
  25. 25.111111 × 111111 =
  26. 26.37 × 12 =
  27. 27.123456 × 8 + 6 =
  28. 28.12345679 × 72 =
  29. 29.12345679 × 81 =
  30. 30.1111 × 1111 =
  31. 31.111 × 111 =
  32. 32.123456 × 9 + 7 =
  33. 33.37 × 27 =
  34. 34.12345678 × 8 + 8 =
  35. 35.37 × 15 =
  36. 36.123 × 8 + 3 =
  37. 37.37 × 18 =
  38. 38.37 × 3 =
  39. 39.1234 × 9 + 5 =
  40. 40.12345678 × 9 + 9 =

Answer key

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

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