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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 877 · 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. 1.12345679 × 18 =
  2. 2.12345679 × 72 =
  3. 3.12345679 × 81 =
  4. 4.12345679 × 54 =
  5. 5.12345678 × 9 + 9 =
  6. 6.37 × 3 =
  7. 7.1234567 × 8 + 7 =
  8. 8.37 × 27 =
  9. 9.123 × 8 + 3 =
  10. 10.12345679 × 9 =
  11. 11.1234 × 9 + 5 =
  12. 12.12345678 × 8 + 8 =
  13. 13.37 × 9 =
  14. 14.37 × 18 =
  15. 15.12345679 × 27 =
  16. 16.37 × 24 =
  17. 17.1234567 × 9 + 8 =
  18. 18.123456 × 8 + 6 =
  19. 19.1111 × 1111 =
  20. 20.12345679 × 63 =
  21. 21.11111 × 11111 =
  22. 22.123456789 × 8 + 9 =
  23. 23.12345679 × 36 =
  24. 24.37 × 6 =
  25. 25.1234 × 8 + 4 =
  26. 26.11 × 11 =
  27. 27.37 × 21 =
  28. 28.123 × 9 + 4 =
  29. 29.12 × 8 + 2 =
  30. 30.12 × 9 + 3 =
  31. 31.12345679 × 45 =
  32. 32.111 × 111 =
  33. 33.111111 × 111111 =
  34. 34.12345 × 9 + 6 =
  35. 35.12345678 × 9 + 9 =
  36. 36.37 × 24 =
  37. 37.12345 × 8 + 5 =
  38. 38.37 × 15 =
  39. 39.12345678 × 8 + 8 =
  40. 40.12 × 9 + 3 =

Answer key

  1. 222222222
  2. 888888888
  3. 999999999
  4. 666666666
  5. 111111111
  6. 111
  7. 9876543
  8. 999
  9. 987
  10. 111111111
  11. 11111
  12. 98765432
  13. 333
  14. 666
  15. 333333333
  16. 888
  17. 11111111
  18. 987654
  19. 1234321
  20. 777777777
  21. 123454321
  22. 987654321
  23. 444444444
  24. 222
  25. 9876
  26. 121
  27. 777
  28. 1111
  29. 98
  30. 111
  31. 555555555
  32. 12321
  33. 12345654321
  34. 111111
  35. 111111111
  36. 888
  37. 98765
  38. 555
  39. 98765432
  40. 111

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