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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 784 · 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 × 18 =
  2. 2.12345 × 9 + 6 =
  3. 3.37 × 9 =
  4. 4.12345678 × 9 + 9 =
  5. 5.1234 × 8 + 4 =
  6. 6.12 × 8 + 2 =
  7. 7.12345679 × 18 =
  8. 8.1234567 × 8 + 7 =
  9. 9.123 × 9 + 4 =
  10. 10.12345 × 8 + 5 =
  11. 11.12345679 × 81 =
  12. 12.1234 × 9 + 5 =
  13. 13.111111 × 111111 =
  14. 14.111 × 111 =
  15. 15.12345679 × 9 =
  16. 16.12345679 × 27 =
  17. 17.37 × 15 =
  18. 18.12345679 × 72 =
  19. 19.12 × 9 + 3 =
  20. 20.37 × 21 =
  21. 21.123 × 8 + 3 =
  22. 22.11 × 11 =
  23. 23.12345679 × 45 =
  24. 24.1234567 × 9 + 8 =
  25. 25.12345679 × 36 =
  26. 26.37 × 27 =
  27. 27.123456789 × 8 + 9 =
  28. 28.11111 × 11111 =
  29. 29.1111 × 1111 =
  30. 30.37 × 24 =
  31. 31.37 × 12 =
  32. 32.123456 × 9 + 7 =
  33. 33.12345679 × 45 =
  34. 34.12345679 × 54 =
  35. 35.37 × 3 =
  36. 36.12 × 9 + 3 =
  37. 37.12345679 × 9 =
  38. 38.12345678 × 8 + 8 =
  39. 39.123456 × 8 + 6 =
  40. 40.12345679 × 9 =

Answer key

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

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