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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 699 · 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 × 45 =
  2. 2.37 × 27 =
  3. 3.37 × 6 =
  4. 4.37 × 15 =
  5. 5.11 × 11 =
  6. 6.123 × 9 + 4 =
  7. 7.11111 × 11111 =
  8. 8.12345679 × 27 =
  9. 9.37 × 18 =
  10. 10.37 × 9 =
  11. 11.12345678 × 8 + 8 =
  12. 12.123456 × 8 + 6 =
  13. 13.12345679 × 81 =
  14. 14.12345679 × 18 =
  15. 15.1111 × 1111 =
  16. 16.1234 × 9 + 5 =
  17. 17.12345679 × 63 =
  18. 18.111 × 111 =
  19. 19.12345 × 9 + 6 =
  20. 20.123456 × 9 + 7 =
  21. 21.37 × 21 =
  22. 22.123 × 8 + 3 =
  23. 23.37 × 3 =
  24. 24.12 × 9 + 3 =
  25. 25.111111 × 111111 =
  26. 26.1234567 × 9 + 8 =
  27. 27.37 × 12 =
  28. 28.12 × 8 + 2 =
  29. 29.1234 × 8 + 4 =
  30. 30.12345679 × 72 =
  31. 31.123456789 × 8 + 9 =
  32. 32.12345679 × 45 =
  33. 33.37 × 12 =
  34. 34.12345678 × 9 + 9 =
  35. 35.1234567 × 8 + 7 =
  36. 36.37 × 3 =
  37. 37.12345679 × 54 =
  38. 38.12345679 × 9 =
  39. 39.123 × 9 + 4 =
  40. 40.12345 × 8 + 5 =

Answer key

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

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