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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 142 · 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. 1.1111 × 1111 =
  2. 2.37 × 9 =
  3. 3.123 × 8 + 3 =
  4. 4.11 × 11 =
  5. 5.111 × 111 =
  6. 6.123456 × 8 + 6 =
  7. 7.12345679 × 45 =
  8. 8.12345678 × 9 + 9 =
  9. 9.37 × 21 =
  10. 10.111111 × 111111 =
  11. 11.12345679 × 9 =
  12. 12.12345679 × 54 =
  13. 13.12 × 9 + 3 =
  14. 14.12 × 8 + 2 =
  15. 15.12345679 × 27 =
  16. 16.37 × 27 =
  17. 17.11111 × 11111 =
  18. 18.1234567 × 8 + 7 =
  19. 19.12345679 × 18 =
  20. 20.12345678 × 8 + 8 =
  21. 21.37 × 15 =
  22. 22.12345679 × 72 =
  23. 23.37 × 18 =
  24. 24.37 × 6 =
  25. 25.1234567 × 9 + 8 =
  26. 26.1234 × 8 + 4 =
  27. 27.37 × 3 =
  28. 28.37 × 24 =
  29. 29.37 × 12 =
  30. 30.123 × 9 + 4 =
  31. 31.12345 × 9 + 6 =
  32. 32.12345679 × 36 =
  33. 33.12345679 × 18 =
  34. 34.123456789 × 8 + 9 =
  35. 35.12345 × 8 + 5 =
  36. 36.123456 × 9 + 7 =
  37. 37.12345679 × 63 =
  38. 38.111111 × 111111 =
  39. 39.12345 × 8 + 5 =
  40. 40.1234 × 9 + 5 =

Answer key

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

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