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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 782 · 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. 1.123456 × 9 + 7 =
  2. 2.1234567 × 9 + 8 =
  3. 3.12345679 × 27 =
  4. 4.111111 × 111111 =
  5. 5.37 × 3 =
  6. 6.1234567 × 8 + 7 =
  7. 7.11 × 11 =
  8. 8.123456 × 8 + 6 =
  9. 9.123456789 × 8 + 9 =
  10. 10.12345679 × 18 =
  11. 11.37 × 18 =
  12. 12.1111 × 1111 =
  13. 13.111 × 111 =
  14. 14.37 × 15 =
  15. 15.11111 × 11111 =
  16. 16.12 × 9 + 3 =
  17. 17.12345 × 9 + 6 =
  18. 18.12345679 × 63 =
  19. 19.37 × 6 =
  20. 20.12345679 × 72 =
  21. 21.37 × 21 =
  22. 22.37 × 9 =
  23. 23.12345679 × 36 =
  24. 24.12345679 × 81 =
  25. 25.37 × 24 =
  26. 26.12345 × 8 + 5 =
  27. 27.12345679 × 9 =
  28. 28.12345678 × 9 + 9 =
  29. 29.123 × 9 + 4 =
  30. 30.12 × 8 + 2 =
  31. 31.37 × 27 =
  32. 32.1234 × 9 + 5 =
  33. 33.37 × 12 =
  34. 34.37 × 24 =
  35. 35.1234 × 8 + 4 =
  36. 36.11111 × 11111 =
  37. 37.11 × 11 =
  38. 38.37 × 27 =
  39. 39.123 × 8 + 3 =
  40. 40.1234 × 8 + 4 =

Answer key

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

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