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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 969 · 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. 1.1234567 × 9 + 8 =
  2. 2.37 × 24 =
  3. 3.111 × 111 =
  4. 4.12345679 × 63 =
  5. 5.123 × 8 + 3 =
  6. 6.12345678 × 9 + 9 =
  7. 7.111111 × 111111 =
  8. 8.123456 × 9 + 7 =
  9. 9.11 × 11 =
  10. 10.37 × 21 =
  11. 11.12345679 × 27 =
  12. 12.12345 × 8 + 5 =
  13. 13.37 × 3 =
  14. 14.12 × 8 + 2 =
  15. 15.12345679 × 54 =
  16. 16.123 × 9 + 4 =
  17. 17.12 × 9 + 3 =
  18. 18.1234567 × 8 + 7 =
  19. 19.123456789 × 8 + 9 =
  20. 20.1111 × 1111 =
  21. 21.12345679 × 9 =
  22. 22.12345679 × 36 =
  23. 23.37 × 9 =
  24. 24.12345679 × 72 =
  25. 25.37 × 18 =
  26. 26.37 × 15 =
  27. 27.12345678 × 8 + 8 =
  28. 28.1234 × 9 + 5 =
  29. 29.123456 × 8 + 6 =
  30. 30.37 × 12 =
  31. 31.12345 × 9 + 6 =
  32. 32.11111 × 11111 =
  33. 33.12345679 × 18 =
  34. 34.37 × 15 =
  35. 35.1234 × 8 + 4 =
  36. 36.37 × 6 =
  37. 37.111 × 111 =
  38. 38.12345679 × 81 =
  39. 39.37 × 27 =
  40. 40.123456 × 9 + 7 =

Answer key

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

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