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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 777 · 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. 1.37 × 24 =
  2. 2.111 × 111 =
  3. 3.37 × 15 =
  4. 4.12345679 × 63 =
  5. 5.11 × 11 =
  6. 6.1234567 × 9 + 8 =
  7. 7.12345 × 8 + 5 =
  8. 8.12 × 9 + 3 =
  9. 9.12 × 8 + 2 =
  10. 10.1111 × 1111 =
  11. 11.11111 × 11111 =
  12. 12.123 × 8 + 3 =
  13. 13.123456789 × 8 + 9 =
  14. 14.123 × 9 + 4 =
  15. 15.37 × 18 =
  16. 16.37 × 3 =
  17. 17.12345679 × 18 =
  18. 18.37 × 21 =
  19. 19.12345678 × 9 + 9 =
  20. 20.1234 × 8 + 4 =
  21. 21.1234567 × 8 + 7 =
  22. 22.1234 × 9 + 5 =
  23. 23.37 × 27 =
  24. 24.123456 × 9 + 7 =
  25. 25.12345679 × 27 =
  26. 26.12345679 × 9 =
  27. 27.123456 × 8 + 6 =
  28. 28.12345679 × 81 =
  29. 29.37 × 6 =
  30. 30.37 × 12 =
  31. 31.12345679 × 36 =
  32. 32.12345678 × 8 + 8 =
  33. 33.111111 × 111111 =
  34. 34.12345679 × 54 =
  35. 35.12345679 × 45 =
  36. 36.12345678 × 9 + 9 =
  37. 37.12345679 × 72 =
  38. 38.37 × 9 =
  39. 39.1111 × 1111 =
  40. 40.37 × 9 =

Answer key

  1. 888
  2. 12321
  3. 555
  4. 777777777
  5. 121
  6. 11111111
  7. 98765
  8. 111
  9. 98
  10. 1234321
  11. 123454321
  12. 987
  13. 987654321
  14. 1111
  15. 666
  16. 111
  17. 222222222
  18. 777
  19. 111111111
  20. 9876
  21. 9876543
  22. 11111
  23. 999
  24. 1111111
  25. 333333333
  26. 111111111
  27. 987654
  28. 999999999
  29. 222
  30. 444
  31. 444444444
  32. 98765432
  33. 12345654321
  34. 666666666
  35. 555555555
  36. 111111111
  37. 888888888
  38. 333
  39. 1234321
  40. 333

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