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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 894 · 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 × 21 =
  2. 2.12345679 × 72 =
  3. 3.123456789 × 8 + 9 =
  4. 4.37 × 18 =
  5. 5.37 × 24 =
  6. 6.12345679 × 36 =
  7. 7.1234 × 9 + 5 =
  8. 8.12345678 × 8 + 8 =
  9. 9.12345679 × 45 =
  10. 10.1111 × 1111 =
  11. 11.1234 × 8 + 4 =
  12. 12.12345 × 9 + 6 =
  13. 13.123456 × 9 + 7 =
  14. 14.37 × 27 =
  15. 15.1234567 × 9 + 8 =
  16. 16.12345679 × 81 =
  17. 17.12345 × 8 + 5 =
  18. 18.111111 × 111111 =
  19. 19.37 × 9 =
  20. 20.11111 × 11111 =
  21. 21.11 × 11 =
  22. 22.37 × 6 =
  23. 23.1234567 × 8 + 7 =
  24. 24.12345679 × 63 =
  25. 25.12345679 × 9 =
  26. 26.12 × 8 + 2 =
  27. 27.123 × 9 + 4 =
  28. 28.37 × 15 =
  29. 29.123 × 8 + 3 =
  30. 30.111 × 111 =
  31. 31.12345679 × 54 =
  32. 32.12345679 × 27 =
  33. 33.37 × 12 =
  34. 34.12345679 × 18 =
  35. 35.12345678 × 9 + 9 =
  36. 36.12345678 × 9 + 9 =
  37. 37.37 × 3 =
  38. 38.12 × 9 + 3 =
  39. 39.123 × 9 + 4 =
  40. 40.123456 × 8 + 6 =

Answer key

  1. 777
  2. 888888888
  3. 987654321
  4. 666
  5. 888
  6. 444444444
  7. 11111
  8. 98765432
  9. 555555555
  10. 1234321
  11. 9876
  12. 111111
  13. 1111111
  14. 999
  15. 11111111
  16. 999999999
  17. 98765
  18. 12345654321
  19. 333
  20. 123454321
  21. 121
  22. 222
  23. 9876543
  24. 777777777
  25. 111111111
  26. 98
  27. 1111
  28. 555
  29. 987
  30. 12321
  31. 666666666
  32. 333333333
  33. 444
  34. 222222222
  35. 111111111
  36. 111111111
  37. 111
  38. 111
  39. 1111
  40. 987654

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