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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 447 · 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. 1.12345 × 9 + 6 =
  2. 2.11 × 11 =
  3. 3.123 × 8 + 3 =
  4. 4.1111 × 1111 =
  5. 5.1234567 × 8 + 7 =
  6. 6.1234 × 9 + 5 =
  7. 7.12 × 9 + 3 =
  8. 8.37 × 18 =
  9. 9.111 × 111 =
  10. 10.12345679 × 72 =
  11. 11.12345679 × 63 =
  12. 12.12345679 × 18 =
  13. 13.12345678 × 8 + 8 =
  14. 14.12345679 × 9 =
  15. 15.37 × 24 =
  16. 16.37 × 15 =
  17. 17.11111 × 11111 =
  18. 18.12345679 × 81 =
  19. 19.12345679 × 36 =
  20. 20.123 × 9 + 4 =
  21. 21.12 × 8 + 2 =
  22. 22.12345679 × 45 =
  23. 23.37 × 3 =
  24. 24.111111 × 111111 =
  25. 25.12345678 × 9 + 9 =
  26. 26.37 × 21 =
  27. 27.12345679 × 27 =
  28. 28.123456 × 9 + 7 =
  29. 29.37 × 9 =
  30. 30.37 × 27 =
  31. 31.37 × 6 =
  32. 32.123456 × 8 + 6 =
  33. 33.123456 × 8 + 6 =
  34. 34.37 × 27 =
  35. 35.123456789 × 8 + 9 =
  36. 36.1234 × 8 + 4 =
  37. 37.12345679 × 18 =
  38. 38.12 × 9 + 3 =
  39. 39.12345679 × 9 =
  40. 40.11111 × 11111 =

Answer key

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

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