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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 875 · 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. 2.12345679 × 81 =
  3. 3.37 × 12 =
  4. 4.123 × 8 + 3 =
  5. 5.111 × 111 =
  6. 6.1111 × 1111 =
  7. 7.37 × 27 =
  8. 8.37 × 18 =
  9. 9.123456789 × 8 + 9 =
  10. 10.12345679 × 45 =
  11. 11.12345679 × 63 =
  12. 12.11111 × 11111 =
  13. 13.12345679 × 9 =
  14. 14.12345678 × 8 + 8 =
  15. 15.111111 × 111111 =
  16. 16.12345678 × 9 + 9 =
  17. 17.12345679 × 36 =
  18. 18.1234567 × 8 + 7 =
  19. 19.37 × 15 =
  20. 20.12345679 × 27 =
  21. 21.12345 × 9 + 6 =
  22. 22.1234567 × 9 + 8 =
  23. 23.123456 × 8 + 6 =
  24. 24.12345679 × 72 =
  25. 25.12345679 × 54 =
  26. 26.123456 × 9 + 7 =
  27. 27.1234 × 9 + 5 =
  28. 28.1234 × 8 + 4 =
  29. 29.37 × 9 =
  30. 30.12345679 × 9 =
  31. 31.11 × 11 =
  32. 32.37 × 3 =
  33. 33.37 × 6 =
  34. 34.12345679 × 18 =
  35. 35.12345 × 8 + 5 =
  36. 36.12345679 × 18 =
  37. 37.12 × 8 + 2 =
  38. 38.37 × 21 =
  39. 39.11 × 11 =
  40. 40.37 × 24 =

Answer key

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

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