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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 616 · 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. 2.12345679 × 27 =
  3. 3.37 × 9 =
  4. 4.12345679 × 18 =
  5. 5.12 × 9 + 3 =
  6. 6.12345 × 9 + 6 =
  7. 7.12345679 × 54 =
  8. 8.1111 × 1111 =
  9. 9.123 × 9 + 4 =
  10. 10.123456 × 9 + 7 =
  11. 11.11111 × 11111 =
  12. 12.37 × 27 =
  13. 13.11 × 11 =
  14. 14.123456 × 8 + 6 =
  15. 15.111111 × 111111 =
  16. 16.12345678 × 8 + 8 =
  17. 17.12 × 8 + 2 =
  18. 18.12345679 × 45 =
  19. 19.1234 × 9 + 5 =
  20. 20.123 × 8 + 3 =
  21. 21.37 × 15 =
  22. 22.37 × 21 =
  23. 23.37 × 24 =
  24. 24.37 × 6 =
  25. 25.12345679 × 9 =
  26. 26.1234567 × 9 + 8 =
  27. 27.12345679 × 81 =
  28. 28.37 × 18 =
  29. 29.12345 × 8 + 5 =
  30. 30.37 × 3 =
  31. 31.12345679 × 63 =
  32. 32.37 × 12 =
  33. 33.123456789 × 8 + 9 =
  34. 34.37 × 27 =
  35. 35.12345678 × 9 + 9 =
  36. 36.12345678 × 8 + 8 =
  37. 37.12345679 × 72 =
  38. 38.1234567 × 8 + 7 =
  39. 39.12345679 × 36 =
  40. 40.37 × 21 =

Answer key

  1. 12321
  2. 333333333
  3. 333
  4. 222222222
  5. 111
  6. 111111
  7. 666666666
  8. 1234321
  9. 1111
  10. 1111111
  11. 123454321
  12. 999
  13. 121
  14. 987654
  15. 12345654321
  16. 98765432
  17. 98
  18. 555555555
  19. 11111
  20. 987
  21. 555
  22. 777
  23. 888
  24. 222
  25. 111111111
  26. 11111111
  27. 999999999
  28. 666
  29. 98765
  30. 111
  31. 777777777
  32. 444
  33. 987654321
  34. 999
  35. 111111111
  36. 98765432
  37. 888888888
  38. 9876543
  39. 444444444
  40. 777

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