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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 66 · 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. 2.123456 × 9 + 7 =
  3. 3.12345 × 8 + 5 =
  4. 4.1234567 × 8 + 7 =
  5. 5.37 × 27 =
  6. 6.37 × 9 =
  7. 7.12345679 × 9 =
  8. 8.37 × 18 =
  9. 9.12345679 × 81 =
  10. 10.12345679 × 63 =
  11. 11.111 × 111 =
  12. 12.111111 × 111111 =
  13. 13.12345679 × 18 =
  14. 14.12345679 × 36 =
  15. 15.1234567 × 9 + 8 =
  16. 16.12345679 × 45 =
  17. 17.12345678 × 9 + 9 =
  18. 18.12 × 9 + 3 =
  19. 19.11111 × 11111 =
  20. 20.1234 × 8 + 4 =
  21. 21.1234 × 9 + 5 =
  22. 22.12345679 × 72 =
  23. 23.1111 × 1111 =
  24. 24.12345679 × 54 =
  25. 25.37 × 15 =
  26. 26.37 × 3 =
  27. 27.37 × 12 =
  28. 28.12345678 × 8 + 8 =
  29. 29.12345679 × 54 =
  30. 30.123 × 9 + 4 =
  31. 31.12345 × 9 + 6 =
  32. 32.37 × 24 =
  33. 33.12345679 × 27 =
  34. 34.1234567 × 9 + 8 =
  35. 35.37 × 21 =
  36. 36.37 × 3 =
  37. 37.37 × 6 =
  38. 38.123 × 9 + 4 =
  39. 39.12345679 × 36 =
  40. 40.123456 × 8 + 6 =

Answer key

  1. 121
  2. 1111111
  3. 98765
  4. 9876543
  5. 999
  6. 333
  7. 111111111
  8. 666
  9. 999999999
  10. 777777777
  11. 12321
  12. 12345654321
  13. 222222222
  14. 444444444
  15. 11111111
  16. 555555555
  17. 111111111
  18. 111
  19. 123454321
  20. 9876
  21. 11111
  22. 888888888
  23. 1234321
  24. 666666666
  25. 555
  26. 111
  27. 444
  28. 98765432
  29. 666666666
  30. 1111
  31. 111111
  32. 888
  33. 333333333
  34. 11111111
  35. 777
  36. 111
  37. 222
  38. 1111
  39. 444444444
  40. 987654

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