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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 688 · 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 × 9 =
  2. 2.12345679 × 27 =
  3. 3.12345 × 9 + 6 =
  4. 4.37 × 12 =
  5. 5.12 × 8 + 2 =
  6. 6.12345 × 8 + 5 =
  7. 7.1234567 × 8 + 7 =
  8. 8.37 × 21 =
  9. 9.1234 × 9 + 5 =
  10. 10.12 × 9 + 3 =
  11. 11.123456 × 8 + 6 =
  12. 12.12345679 × 72 =
  13. 13.123456 × 9 + 7 =
  14. 14.37 × 15 =
  15. 15.1111 × 1111 =
  16. 16.123 × 8 + 3 =
  17. 17.12345679 × 18 =
  18. 18.37 × 27 =
  19. 19.12345679 × 81 =
  20. 20.123 × 9 + 4 =
  21. 21.37 × 9 =
  22. 22.111111 × 111111 =
  23. 23.37 × 3 =
  24. 24.12345679 × 63 =
  25. 25.12345678 × 8 + 8 =
  26. 26.12345679 × 45 =
  27. 27.37 × 6 =
  28. 28.1234 × 8 + 4 =
  29. 29.37 × 24 =
  30. 30.111 × 111 =
  31. 31.1234567 × 9 + 8 =
  32. 32.12345679 × 36 =
  33. 33.37 × 18 =
  34. 34.11111 × 11111 =
  35. 35.123456789 × 8 + 9 =
  36. 36.12345678 × 9 + 9 =
  37. 37.12345679 × 63 =
  38. 38.12345679 × 54 =
  39. 39.37 × 24 =
  40. 40.11111 × 11111 =

Answer key

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

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