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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 640 · 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. 1.1234567 × 9 + 8 =
  2. 2.111111 × 111111 =
  3. 3.11111 × 11111 =
  4. 4.37 × 9 =
  5. 5.12345679 × 54 =
  6. 6.123456 × 9 + 7 =
  7. 7.123 × 9 + 4 =
  8. 8.12 × 9 + 3 =
  9. 9.111 × 111 =
  10. 10.37 × 18 =
  11. 11.12345679 × 9 =
  12. 12.12345 × 9 + 6 =
  13. 13.1234567 × 8 + 7 =
  14. 14.37 × 3 =
  15. 15.12345678 × 9 + 9 =
  16. 16.12345679 × 36 =
  17. 17.123 × 8 + 3 =
  18. 18.37 × 27 =
  19. 19.37 × 15 =
  20. 20.11 × 11 =
  21. 21.1234 × 8 + 4 =
  22. 22.123456789 × 8 + 9 =
  23. 23.12345679 × 72 =
  24. 24.12345679 × 18 =
  25. 25.37 × 12 =
  26. 26.1111 × 1111 =
  27. 27.12345679 × 45 =
  28. 28.12345679 × 81 =
  29. 29.37 × 24 =
  30. 30.12345678 × 8 + 8 =
  31. 31.12345678 × 9 + 9 =
  32. 32.12345 × 8 + 5 =
  33. 33.123456 × 8 + 6 =
  34. 34.37 × 6 =
  35. 35.12 × 8 + 2 =
  36. 36.12345679 × 27 =
  37. 37.1234 × 9 + 5 =
  38. 38.12345679 × 63 =
  39. 39.37 × 15 =
  40. 40.37 × 15 =

Answer key

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

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