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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 959 · 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 × 72 =
  2. 2.1111 × 1111 =
  3. 3.37 × 24 =
  4. 4.37 × 9 =
  5. 5.37 × 27 =
  6. 6.12345679 × 81 =
  7. 7.12 × 9 + 3 =
  8. 8.1234 × 8 + 4 =
  9. 9.37 × 6 =
  10. 10.37 × 3 =
  11. 11.11 × 11 =
  12. 12.12345 × 9 + 6 =
  13. 13.37 × 15 =
  14. 14.12345679 × 9 =
  15. 15.1234567 × 8 + 7 =
  16. 16.123456 × 9 + 7 =
  17. 17.1234 × 9 + 5 =
  18. 18.12345678 × 9 + 9 =
  19. 19.123 × 9 + 4 =
  20. 20.12345679 × 54 =
  21. 21.123456789 × 8 + 9 =
  22. 22.12345679 × 18 =
  23. 23.12345679 × 63 =
  24. 24.12345678 × 8 + 8 =
  25. 25.12 × 8 + 2 =
  26. 26.123 × 8 + 3 =
  27. 27.111 × 111 =
  28. 28.111111 × 111111 =
  29. 29.12345679 × 36 =
  30. 30.1234567 × 9 + 8 =
  31. 31.12345679 × 45 =
  32. 32.123456 × 8 + 6 =
  33. 33.12345678 × 8 + 8 =
  34. 34.11111 × 11111 =
  35. 35.37 × 21 =
  36. 36.12345679 × 27 =
  37. 37.37 × 18 =
  38. 38.12345 × 8 + 5 =
  39. 39.37 × 18 =
  40. 40.37 × 12 =

Answer key

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

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