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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 583 · 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. 2.37 × 24 =
  3. 3.12 × 8 + 2 =
  4. 4.12345679 × 9 =
  5. 5.12345679 × 36 =
  6. 6.37 × 9 =
  7. 7.111111 × 111111 =
  8. 8.37 × 15 =
  9. 9.12345679 × 54 =
  10. 10.1234 × 8 + 4 =
  11. 11.12345679 × 63 =
  12. 12.123 × 9 + 4 =
  13. 13.1234 × 9 + 5 =
  14. 14.123456 × 8 + 6 =
  15. 15.37 × 18 =
  16. 16.12345679 × 81 =
  17. 17.37 × 27 =
  18. 18.12345678 × 9 + 9 =
  19. 19.1234567 × 9 + 8 =
  20. 20.12345679 × 72 =
  21. 21.123456789 × 8 + 9 =
  22. 22.12345679 × 18 =
  23. 23.111 × 111 =
  24. 24.11111 × 11111 =
  25. 25.37 × 12 =
  26. 26.123456 × 9 + 7 =
  27. 27.37 × 6 =
  28. 28.12345 × 9 + 6 =
  29. 29.12 × 9 + 3 =
  30. 30.123 × 8 + 3 =
  31. 31.1234567 × 8 + 7 =
  32. 32.37 × 21 =
  33. 33.37 × 24 =
  34. 34.12345678 × 8 + 8 =
  35. 35.1111 × 1111 =
  36. 36.37 × 3 =
  37. 37.12345679 × 45 =
  38. 38.12345 × 8 + 5 =
  39. 39.123456789 × 8 + 9 =
  40. 40.1234 × 9 + 5 =

Answer key

  1. 121
  2. 888
  3. 98
  4. 111111111
  5. 444444444
  6. 333
  7. 12345654321
  8. 555
  9. 666666666
  10. 9876
  11. 777777777
  12. 1111
  13. 11111
  14. 987654
  15. 666
  16. 999999999
  17. 999
  18. 111111111
  19. 11111111
  20. 888888888
  21. 987654321
  22. 222222222
  23. 12321
  24. 123454321
  25. 444
  26. 1111111
  27. 222
  28. 111111
  29. 111
  30. 987
  31. 9876543
  32. 777
  33. 888
  34. 98765432
  35. 1234321
  36. 111
  37. 555555555
  38. 98765
  39. 987654321
  40. 11111

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