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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 307 · 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. 2.12 × 9 + 3 =
  3. 3.12345 × 9 + 6 =
  4. 4.12345678 × 8 + 8 =
  5. 5.111111 × 111111 =
  6. 6.123456 × 8 + 6 =
  7. 7.12345679 × 36 =
  8. 8.37 × 24 =
  9. 9.12345679 × 63 =
  10. 10.123 × 8 + 3 =
  11. 11.12345679 × 81 =
  12. 12.12345679 × 45 =
  13. 13.11 × 11 =
  14. 14.123456 × 9 + 7 =
  15. 15.11111 × 11111 =
  16. 16.12345679 × 9 =
  17. 17.123456789 × 8 + 9 =
  18. 18.1111 × 1111 =
  19. 19.12345679 × 18 =
  20. 20.12345679 × 27 =
  21. 21.12345678 × 9 + 9 =
  22. 22.111 × 111 =
  23. 23.37 × 21 =
  24. 24.123 × 9 + 4 =
  25. 25.1234567 × 8 + 7 =
  26. 26.12 × 8 + 2 =
  27. 27.1234 × 8 + 4 =
  28. 28.37 × 12 =
  29. 29.12345679 × 54 =
  30. 30.12345 × 8 + 5 =
  31. 31.37 × 9 =
  32. 32.1234 × 9 + 5 =
  33. 33.111111 × 111111 =
  34. 34.37 × 6 =
  35. 35.11 × 11 =
  36. 36.37 × 27 =
  37. 37.37 × 18 =
  38. 38.12345679 × 72 =
  39. 39.123456789 × 8 + 9 =
  40. 40.37 × 3 =

Answer key

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

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