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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 878 · 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 × 24 =
  2. 2.123456789 × 8 + 9 =
  3. 3.12345679 × 54 =
  4. 4.12345679 × 27 =
  5. 5.1234567 × 9 + 8 =
  6. 6.12345679 × 9 =
  7. 7.11 × 11 =
  8. 8.37 × 3 =
  9. 9.12 × 8 + 2 =
  10. 10.12345679 × 18 =
  11. 11.111111 × 111111 =
  12. 12.123456 × 8 + 6 =
  13. 13.37 × 6 =
  14. 14.1234 × 8 + 4 =
  15. 15.12 × 9 + 3 =
  16. 16.12345679 × 36 =
  17. 17.111 × 111 =
  18. 18.123 × 8 + 3 =
  19. 19.123 × 9 + 4 =
  20. 20.12345679 × 63 =
  21. 21.12345678 × 8 + 8 =
  22. 22.1111 × 1111 =
  23. 23.123456 × 9 + 7 =
  24. 24.1234 × 9 + 5 =
  25. 25.37 × 21 =
  26. 26.37 × 18 =
  27. 27.11111 × 11111 =
  28. 28.37 × 12 =
  29. 29.37 × 9 =
  30. 30.12345679 × 45 =
  31. 31.12345 × 8 + 5 =
  32. 32.12345 × 9 + 6 =
  33. 33.12345679 × 81 =
  34. 34.37 × 27 =
  35. 35.37 × 15 =
  36. 36.37 × 3 =
  37. 37.12345679 × 63 =
  38. 38.12345679 × 72 =
  39. 39.12345678 × 9 + 9 =
  40. 40.12 × 9 + 3 =

Answer key

  1. 888
  2. 987654321
  3. 666666666
  4. 333333333
  5. 11111111
  6. 111111111
  7. 121
  8. 111
  9. 98
  10. 222222222
  11. 12345654321
  12. 987654
  13. 222
  14. 9876
  15. 111
  16. 444444444
  17. 12321
  18. 987
  19. 1111
  20. 777777777
  21. 98765432
  22. 1234321
  23. 1111111
  24. 11111
  25. 777
  26. 666
  27. 123454321
  28. 444
  29. 333
  30. 555555555
  31. 98765
  32. 111111
  33. 999999999
  34. 999
  35. 555
  36. 111
  37. 777777777
  38. 888888888
  39. 111111111
  40. 111

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