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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 864 · 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. 1.37 × 27 =
  2. 2.37 × 3 =
  3. 3.123456 × 8 + 6 =
  4. 4.12345679 × 18 =
  5. 5.37 × 12 =
  6. 6.12345678 × 8 + 8 =
  7. 7.1234 × 9 + 5 =
  8. 8.123456789 × 8 + 9 =
  9. 9.12 × 8 + 2 =
  10. 10.12345679 × 45 =
  11. 11.12345679 × 9 =
  12. 12.12345679 × 36 =
  13. 13.37 × 6 =
  14. 14.12345 × 9 + 6 =
  15. 15.12345679 × 81 =
  16. 16.37 × 15 =
  17. 17.1111 × 1111 =
  18. 18.1234567 × 9 + 8 =
  19. 19.11111 × 11111 =
  20. 20.11 × 11 =
  21. 21.12345679 × 72 =
  22. 22.37 × 18 =
  23. 23.37 × 9 =
  24. 24.111 × 111 =
  25. 25.12345678 × 9 + 9 =
  26. 26.12345679 × 63 =
  27. 27.123456 × 9 + 7 =
  28. 28.123 × 8 + 3 =
  29. 29.12345679 × 54 =
  30. 30.1234567 × 8 + 7 =
  31. 31.12345679 × 27 =
  32. 32.111111 × 111111 =
  33. 33.1234 × 8 + 4 =
  34. 34.12345679 × 54 =
  35. 35.12345 × 8 + 5 =
  36. 36.12 × 9 + 3 =
  37. 37.12345679 × 9 =
  38. 38.123 × 9 + 4 =
  39. 39.12345679 × 36 =
  40. 40.37 × 21 =

Answer key

  1. 999
  2. 111
  3. 987654
  4. 222222222
  5. 444
  6. 98765432
  7. 11111
  8. 987654321
  9. 98
  10. 555555555
  11. 111111111
  12. 444444444
  13. 222
  14. 111111
  15. 999999999
  16. 555
  17. 1234321
  18. 11111111
  19. 123454321
  20. 121
  21. 888888888
  22. 666
  23. 333
  24. 12321
  25. 111111111
  26. 777777777
  27. 1111111
  28. 987
  29. 666666666
  30. 9876543
  31. 333333333
  32. 12345654321
  33. 9876
  34. 666666666
  35. 98765
  36. 111
  37. 111111111
  38. 1111
  39. 444444444
  40. 777

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