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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 815 · 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 × 27 =
  2. 2.12345679 × 54 =
  3. 3.1234 × 8 + 4 =
  4. 4.123456789 × 8 + 9 =
  5. 5.12 × 9 + 3 =
  6. 6.123456 × 8 + 6 =
  7. 7.11 × 11 =
  8. 8.37 × 6 =
  9. 9.1234567 × 9 + 8 =
  10. 10.123 × 8 + 3 =
  11. 11.12 × 8 + 2 =
  12. 12.12345679 × 27 =
  13. 13.12345679 × 9 =
  14. 14.37 × 12 =
  15. 15.12345 × 9 + 6 =
  16. 16.1111 × 1111 =
  17. 17.37 × 18 =
  18. 18.12345679 × 63 =
  19. 19.37 × 3 =
  20. 20.12345679 × 72 =
  21. 21.111 × 111 =
  22. 22.12345679 × 45 =
  23. 23.37 × 15 =
  24. 24.123456 × 9 + 7 =
  25. 25.12345679 × 36 =
  26. 26.12345678 × 9 + 9 =
  27. 27.12345679 × 18 =
  28. 28.111111 × 111111 =
  29. 29.12345679 × 81 =
  30. 30.12345 × 8 + 5 =
  31. 31.37 × 24 =
  32. 32.1234 × 9 + 5 =
  33. 33.12345679 × 72 =
  34. 34.37 × 9 =
  35. 35.11111 × 11111 =
  36. 36.12345678 × 8 + 8 =
  37. 37.37 × 21 =
  38. 38.12345678 × 9 + 9 =
  39. 39.1234567 × 8 + 7 =
  40. 40.123456 × 8 + 6 =

Answer key

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

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