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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 930 · 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. 1.11 × 11 =
  2. 2.37 × 12 =
  3. 3.12345678 × 8 + 8 =
  4. 4.123 × 8 + 3 =
  5. 5.1111 × 1111 =
  6. 6.123456 × 9 + 7 =
  7. 7.12345 × 9 + 6 =
  8. 8.12 × 8 + 2 =
  9. 9.12345679 × 72 =
  10. 10.111111 × 111111 =
  11. 11.37 × 9 =
  12. 12.12345679 × 54 =
  13. 13.12345679 × 45 =
  14. 14.123456 × 8 + 6 =
  15. 15.1234567 × 9 + 8 =
  16. 16.123456789 × 8 + 9 =
  17. 17.37 × 6 =
  18. 18.37 × 27 =
  19. 19.111 × 111 =
  20. 20.12345679 × 81 =
  21. 21.12345679 × 63 =
  22. 22.12345 × 8 + 5 =
  23. 23.1234567 × 8 + 7 =
  24. 24.37 × 3 =
  25. 25.12345679 × 18 =
  26. 26.1234 × 9 + 5 =
  27. 27.12 × 9 + 3 =
  28. 28.11111 × 11111 =
  29. 29.12345679 × 27 =
  30. 30.37 × 18 =
  31. 31.123 × 9 + 4 =
  32. 32.12345679 × 36 =
  33. 33.37 × 21 =
  34. 34.12345679 × 9 =
  35. 35.12345679 × 81 =
  36. 36.12345679 × 18 =
  37. 37.1234 × 8 + 4 =
  38. 38.12 × 9 + 3 =
  39. 39.12345678 × 9 + 9 =
  40. 40.1234567 × 8 + 7 =

Answer key

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

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