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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 169 · 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. 1.111 × 111 =
  2. 2.12345 × 8 + 5 =
  3. 3.37 × 18 =
  4. 4.123 × 9 + 4 =
  5. 5.11 × 11 =
  6. 6.37 × 21 =
  7. 7.123456 × 9 + 7 =
  8. 8.11111 × 11111 =
  9. 9.37 × 12 =
  10. 10.37 × 3 =
  11. 11.1234 × 8 + 4 =
  12. 12.37 × 27 =
  13. 13.12345679 × 54 =
  14. 14.12345679 × 9 =
  15. 15.1234567 × 9 + 8 =
  16. 16.12345678 × 9 + 9 =
  17. 17.12345 × 9 + 6 =
  18. 18.12 × 8 + 2 =
  19. 19.1234567 × 8 + 7 =
  20. 20.12345678 × 8 + 8 =
  21. 21.37 × 9 =
  22. 22.12345679 × 18 =
  23. 23.1111 × 1111 =
  24. 24.12345679 × 81 =
  25. 25.12345679 × 36 =
  26. 26.12345679 × 45 =
  27. 27.12345679 × 27 =
  28. 28.123 × 8 + 3 =
  29. 29.1234 × 9 + 5 =
  30. 30.123 × 9 + 4 =
  31. 31.12 × 9 + 3 =
  32. 32.123456 × 8 + 6 =
  33. 33.12 × 8 + 2 =
  34. 34.12345679 × 72 =
  35. 35.37 × 15 =
  36. 36.37 × 24 =
  37. 37.12345679 × 63 =
  38. 38.37 × 6 =
  39. 39.37 × 6 =
  40. 40.111111 × 111111 =

Answer key

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

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