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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 925 · 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. 1.123 × 8 + 3 =
  2. 2.37 × 21 =
  3. 3.1234 × 9 + 5 =
  4. 4.1111 × 1111 =
  5. 5.1234 × 8 + 4 =
  6. 6.1234567 × 8 + 7 =
  7. 7.37 × 9 =
  8. 8.1234567 × 9 + 8 =
  9. 9.12345679 × 18 =
  10. 10.11 × 11 =
  11. 11.123 × 9 + 4 =
  12. 12.12345 × 9 + 6 =
  13. 13.37 × 27 =
  14. 14.12345679 × 72 =
  15. 15.12 × 8 + 2 =
  16. 16.123456 × 9 + 7 =
  17. 17.12345679 × 63 =
  18. 18.12345679 × 9 =
  19. 19.11111 × 11111 =
  20. 20.12345679 × 36 =
  21. 21.123456 × 8 + 6 =
  22. 22.37 × 6 =
  23. 23.37 × 15 =
  24. 24.12345679 × 45 =
  25. 25.12345679 × 81 =
  26. 26.12345 × 8 + 5 =
  27. 27.12345678 × 8 + 8 =
  28. 28.12345679 × 27 =
  29. 29.12 × 9 + 3 =
  30. 30.11 × 11 =
  31. 31.37 × 3 =
  32. 32.111111 × 111111 =
  33. 33.12345679 × 54 =
  34. 34.12345679 × 45 =
  35. 35.12345678 × 9 + 9 =
  36. 36.37 × 24 =
  37. 37.12345679 × 9 =
  38. 38.111 × 111 =
  39. 39.37 × 18 =
  40. 40.123456 × 9 + 7 =

Answer key

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

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