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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 898 · 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. 2.12345679 × 72 =
  3. 3.12345679 × 18 =
  4. 4.12345679 × 9 =
  5. 5.1234567 × 8 + 7 =
  6. 6.37 × 9 =
  7. 7.12345 × 9 + 6 =
  8. 8.111 × 111 =
  9. 9.123456 × 9 + 7 =
  10. 10.12 × 8 + 2 =
  11. 11.12345679 × 81 =
  12. 12.37 × 15 =
  13. 13.12345679 × 54 =
  14. 14.11111 × 11111 =
  15. 15.12345679 × 27 =
  16. 16.37 × 12 =
  17. 17.37 × 24 =
  18. 18.1234 × 8 + 4 =
  19. 19.12345679 × 45 =
  20. 20.1234567 × 9 + 8 =
  21. 21.12345678 × 8 + 8 =
  22. 22.1111 × 1111 =
  23. 23.111111 × 111111 =
  24. 24.37 × 6 =
  25. 25.37 × 18 =
  26. 26.1234 × 9 + 5 =
  27. 27.123 × 9 + 4 =
  28. 28.12345679 × 63 =
  29. 29.12 × 9 + 3 =
  30. 30.123 × 8 + 3 =
  31. 31.37 × 27 =
  32. 32.37 × 21 =
  33. 33.12345679 × 36 =
  34. 34.123456 × 8 + 6 =
  35. 35.37 × 9 =
  36. 36.37 × 3 =
  37. 37.111111 × 111111 =
  38. 38.123 × 9 + 4 =
  39. 39.12345679 × 45 =
  40. 40.12345679 × 36 =

Answer key

  1. 121
  2. 888888888
  3. 222222222
  4. 111111111
  5. 9876543
  6. 333
  7. 111111
  8. 12321
  9. 1111111
  10. 98
  11. 999999999
  12. 555
  13. 666666666
  14. 123454321
  15. 333333333
  16. 444
  17. 888
  18. 9876
  19. 555555555
  20. 11111111
  21. 98765432
  22. 1234321
  23. 12345654321
  24. 222
  25. 666
  26. 11111
  27. 1111
  28. 777777777
  29. 111
  30. 987
  31. 999
  32. 777
  33. 444444444
  34. 987654
  35. 333
  36. 111
  37. 12345654321
  38. 1111
  39. 555555555
  40. 444444444

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