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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 899 · 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. 1.12 × 9 + 3 =
  2. 2.11111 × 11111 =
  3. 3.37 × 15 =
  4. 4.37 × 9 =
  5. 5.123456 × 8 + 6 =
  6. 6.111 × 111 =
  7. 7.1234 × 9 + 5 =
  8. 8.111111 × 111111 =
  9. 9.12345679 × 45 =
  10. 10.37 × 18 =
  11. 11.12345679 × 9 =
  12. 12.123 × 9 + 4 =
  13. 13.37 × 27 =
  14. 14.12345679 × 27 =
  15. 15.12345678 × 8 + 8 =
  16. 16.1234567 × 9 + 8 =
  17. 17.123456 × 9 + 7 =
  18. 18.1111 × 1111 =
  19. 19.11 × 11 =
  20. 20.12345 × 9 + 6 =
  21. 21.12345679 × 18 =
  22. 22.37 × 3 =
  23. 23.123 × 8 + 3 =
  24. 24.1234567 × 8 + 7 =
  25. 25.37 × 24 =
  26. 26.37 × 12 =
  27. 27.12345679 × 36 =
  28. 28.12345679 × 54 =
  29. 29.12345679 × 63 =
  30. 30.12345679 × 81 =
  31. 31.11 × 11 =
  32. 32.12345 × 8 + 5 =
  33. 33.12345678 × 9 + 9 =
  34. 34.1234567 × 9 + 8 =
  35. 35.12345679 × 81 =
  36. 36.12 × 8 + 2 =
  37. 37.1234 × 8 + 4 =
  38. 38.111 × 111 =
  39. 39.12 × 9 + 3 =
  40. 40.37 × 6 =

Answer key

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

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