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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 895 · 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. 2.12345678 × 8 + 8 =
  3. 3.12 × 9 + 3 =
  4. 4.11111 × 11111 =
  5. 5.37 × 12 =
  6. 6.123456789 × 8 + 9 =
  7. 7.37 × 6 =
  8. 8.37 × 9 =
  9. 9.1234 × 8 + 4 =
  10. 10.1111 × 1111 =
  11. 11.123 × 8 + 3 =
  12. 12.12345 × 9 + 6 =
  13. 13.12345679 × 27 =
  14. 14.11 × 11 =
  15. 15.12345679 × 72 =
  16. 16.37 × 3 =
  17. 17.12345679 × 63 =
  18. 18.1234567 × 9 + 8 =
  19. 19.12345678 × 9 + 9 =
  20. 20.111111 × 111111 =
  21. 21.12345679 × 81 =
  22. 22.12345679 × 18 =
  23. 23.12345679 × 9 =
  24. 24.37 × 18 =
  25. 25.1234 × 9 + 5 =
  26. 26.12345679 × 36 =
  27. 27.37 × 27 =
  28. 28.12345679 × 45 =
  29. 29.12345679 × 54 =
  30. 30.123 × 9 + 4 =
  31. 31.123456 × 8 + 6 =
  32. 32.1111 × 1111 =
  33. 33.12345 × 8 + 5 =
  34. 34.1234567 × 8 + 7 =
  35. 35.123456 × 9 + 7 =
  36. 36.37 × 15 =
  37. 37.111 × 111 =
  38. 38.37 × 21 =
  39. 39.12 × 8 + 2 =
  40. 40.111 × 111 =

Answer key

  1. 888
  2. 98765432
  3. 111
  4. 123454321
  5. 444
  6. 987654321
  7. 222
  8. 333
  9. 9876
  10. 1234321
  11. 987
  12. 111111
  13. 333333333
  14. 121
  15. 888888888
  16. 111
  17. 777777777
  18. 11111111
  19. 111111111
  20. 12345654321
  21. 999999999
  22. 222222222
  23. 111111111
  24. 666
  25. 11111
  26. 444444444
  27. 999
  28. 555555555
  29. 666666666
  30. 1111
  31. 987654
  32. 1234321
  33. 98765
  34. 9876543
  35. 1111111
  36. 555
  37. 12321
  38. 777
  39. 98
  40. 12321

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