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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 692 · 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. 1.111111 × 111111 =
  2. 2.123 × 9 + 4 =
  3. 3.123 × 8 + 3 =
  4. 4.37 × 15 =
  5. 5.11 × 11 =
  6. 6.12345679 × 27 =
  7. 7.12345 × 8 + 5 =
  8. 8.123456789 × 8 + 9 =
  9. 9.37 × 24 =
  10. 10.1111 × 1111 =
  11. 11.37 × 3 =
  12. 12.12345678 × 8 + 8 =
  13. 13.12345679 × 81 =
  14. 14.12345679 × 36 =
  15. 15.111 × 111 =
  16. 16.12345679 × 9 =
  17. 17.123456 × 9 + 7 =
  18. 18.11111 × 11111 =
  19. 19.37 × 27 =
  20. 20.1234 × 9 + 5 =
  21. 21.37 × 6 =
  22. 22.1234567 × 9 + 8 =
  23. 23.12345679 × 63 =
  24. 24.12 × 9 + 3 =
  25. 25.37 × 21 =
  26. 26.1234 × 8 + 4 =
  27. 27.12345679 × 18 =
  28. 28.12345679 × 45 =
  29. 29.12 × 8 + 2 =
  30. 30.12345 × 9 + 6 =
  31. 31.12345678 × 9 + 9 =
  32. 32.12345679 × 72 =
  33. 33.37 × 12 =
  34. 34.37 × 9 =
  35. 35.1234567 × 8 + 7 =
  36. 36.37 × 18 =
  37. 37.123456 × 8 + 6 =
  38. 38.37 × 27 =
  39. 39.123456789 × 8 + 9 =
  40. 40.11 × 11 =

Answer key

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

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