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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 369 · 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. 1.11 × 11 =
  2. 2.123 × 9 + 4 =
  3. 3.12345679 × 27 =
  4. 4.11111 × 11111 =
  5. 5.37 × 21 =
  6. 6.12345679 × 72 =
  7. 7.37 × 3 =
  8. 8.123456 × 9 + 7 =
  9. 9.37 × 6 =
  10. 10.111111 × 111111 =
  11. 11.37 × 18 =
  12. 12.12345679 × 45 =
  13. 13.111 × 111 =
  14. 14.12345679 × 81 =
  15. 15.1234567 × 8 + 7 =
  16. 16.123456 × 8 + 6 =
  17. 17.1234 × 9 + 5 =
  18. 18.12345679 × 54 =
  19. 19.12345 × 8 + 5 =
  20. 20.1111 × 1111 =
  21. 21.37 × 9 =
  22. 22.12345679 × 36 =
  23. 23.12345679 × 18 =
  24. 24.1234567 × 9 + 8 =
  25. 25.12345679 × 63 =
  26. 26.12345678 × 9 + 9 =
  27. 27.12345 × 9 + 6 =
  28. 28.12 × 8 + 2 =
  29. 29.12345679 × 9 =
  30. 30.12345678 × 8 + 8 =
  31. 31.37 × 24 =
  32. 32.123 × 8 + 3 =
  33. 33.37 × 15 =
  34. 34.11 × 11 =
  35. 35.12 × 9 + 3 =
  36. 36.1234 × 8 + 4 =
  37. 37.11111 × 11111 =
  38. 38.12345679 × 9 =
  39. 39.123456789 × 8 + 9 =
  40. 40.12345679 × 36 =

Answer key

  1. 121
  2. 1111
  3. 333333333
  4. 123454321
  5. 777
  6. 888888888
  7. 111
  8. 1111111
  9. 222
  10. 12345654321
  11. 666
  12. 555555555
  13. 12321
  14. 999999999
  15. 9876543
  16. 987654
  17. 11111
  18. 666666666
  19. 98765
  20. 1234321
  21. 333
  22. 444444444
  23. 222222222
  24. 11111111
  25. 777777777
  26. 111111111
  27. 111111
  28. 98
  29. 111111111
  30. 98765432
  31. 888
  32. 987
  33. 555
  34. 121
  35. 111
  36. 9876
  37. 123454321
  38. 111111111
  39. 987654321
  40. 444444444

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