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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 503 · 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 × 36 =
  2. 2.1234 × 9 + 5 =
  3. 3.12345679 × 81 =
  4. 4.111111 × 111111 =
  5. 5.12345679 × 9 =
  6. 6.11111 × 11111 =
  7. 7.12 × 8 + 2 =
  8. 8.12345679 × 27 =
  9. 9.37 × 27 =
  10. 10.12345679 × 18 =
  11. 11.12345678 × 9 + 9 =
  12. 12.12345679 × 72 =
  13. 13.37 × 12 =
  14. 14.12345 × 9 + 6 =
  15. 15.111 × 111 =
  16. 16.37 × 3 =
  17. 17.37 × 18 =
  18. 18.1234567 × 9 + 8 =
  19. 19.37 × 6 =
  20. 20.37 × 21 =
  21. 21.123456 × 9 + 7 =
  22. 22.11 × 11 =
  23. 23.1111 × 1111 =
  24. 24.12 × 9 + 3 =
  25. 25.123456789 × 8 + 9 =
  26. 26.123456 × 8 + 6 =
  27. 27.12345 × 8 + 5 =
  28. 28.12345679 × 54 =
  29. 29.12345679 × 63 =
  30. 30.12345679 × 45 =
  31. 31.37 × 9 =
  32. 32.12345678 × 8 + 8 =
  33. 33.37 × 15 =
  34. 34.11 × 11 =
  35. 35.1234 × 8 + 4 =
  36. 36.123 × 9 + 4 =
  37. 37.12345679 × 18 =
  38. 38.123 × 8 + 3 =
  39. 39.1234567 × 8 + 7 =
  40. 40.37 × 15 =

Answer key

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

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