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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 939 · 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. 2.12345679 × 18 =
  3. 3.12345678 × 8 + 8 =
  4. 4.123 × 9 + 4 =
  5. 5.37 × 24 =
  6. 6.11 × 11 =
  7. 7.37 × 27 =
  8. 8.111 × 111 =
  9. 9.1111 × 1111 =
  10. 10.111111 × 111111 =
  11. 11.12345679 × 9 =
  12. 12.12345 × 8 + 5 =
  13. 13.12345679 × 54 =
  14. 14.37 × 15 =
  15. 15.12345679 × 45 =
  16. 16.12345678 × 9 + 9 =
  17. 17.12345679 × 63 =
  18. 18.1234567 × 9 + 8 =
  19. 19.1234567 × 8 + 7 =
  20. 20.12345679 × 27 =
  21. 21.11111 × 11111 =
  22. 22.123456 × 8 + 6 =
  23. 23.1234 × 8 + 4 =
  24. 24.12 × 8 + 2 =
  25. 25.37 × 18 =
  26. 26.123456789 × 8 + 9 =
  27. 27.37 × 12 =
  28. 28.1234 × 9 + 5 =
  29. 29.37 × 9 =
  30. 30.123456 × 9 + 7 =
  31. 31.12345679 × 72 =
  32. 32.37 × 6 =
  33. 33.12345679 × 36 =
  34. 34.37 × 21 =
  35. 35.12345679 × 18 =
  36. 36.37 × 3 =
  37. 37.12345679 × 81 =
  38. 38.12345679 × 9 =
  39. 39.12 × 9 + 3 =
  40. 40.12345 × 9 + 6 =

Answer key

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

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