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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 292 · 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. 1.12345678 × 8 + 8 =
  2. 2.12345679 × 36 =
  3. 3.37 × 12 =
  4. 4.12345679 × 27 =
  5. 5.11 × 11 =
  6. 6.11111 × 11111 =
  7. 7.12345678 × 9 + 9 =
  8. 8.12 × 8 + 2 =
  9. 9.123 × 9 + 4 =
  10. 10.12 × 9 + 3 =
  11. 11.37 × 18 =
  12. 12.37 × 15 =
  13. 13.37 × 27 =
  14. 14.111 × 111 =
  15. 15.1234567 × 9 + 8 =
  16. 16.37 × 3 =
  17. 17.37 × 21 =
  18. 18.1234 × 9 + 5 =
  19. 19.12345 × 9 + 6 =
  20. 20.123 × 8 + 3 =
  21. 21.12345679 × 18 =
  22. 22.123456 × 9 + 7 =
  23. 23.1111 × 1111 =
  24. 24.37 × 9 =
  25. 25.12345679 × 45 =
  26. 26.12345679 × 63 =
  27. 27.12345679 × 54 =
  28. 28.12345 × 8 + 5 =
  29. 29.111111 × 111111 =
  30. 30.37 × 24 =
  31. 31.1234567 × 8 + 7 =
  32. 32.12345679 × 9 =
  33. 33.123456 × 8 + 6 =
  34. 34.123456789 × 8 + 9 =
  35. 35.1234 × 8 + 4 =
  36. 36.12345679 × 81 =
  37. 37.111111 × 111111 =
  38. 38.12345679 × 9 =
  39. 39.123 × 9 + 4 =
  40. 40.111 × 111 =

Answer key

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

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