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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 736 · 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. 1.123456 × 9 + 7 =
  2. 2.12345679 × 81 =
  3. 3.12345679 × 18 =
  4. 4.111 × 111 =
  5. 5.37 × 3 =
  6. 6.11111 × 11111 =
  7. 7.12345679 × 63 =
  8. 8.12345678 × 9 + 9 =
  9. 9.37 × 24 =
  10. 10.37 × 12 =
  11. 11.1111 × 1111 =
  12. 12.123456 × 8 + 6 =
  13. 13.12345679 × 36 =
  14. 14.12345678 × 8 + 8 =
  15. 15.111111 × 111111 =
  16. 16.37 × 18 =
  17. 17.12 × 9 + 3 =
  18. 18.1234 × 8 + 4 =
  19. 19.12 × 8 + 2 =
  20. 20.11 × 11 =
  21. 21.12345 × 9 + 6 =
  22. 22.1234 × 9 + 5 =
  23. 23.12345679 × 72 =
  24. 24.37 × 15 =
  25. 25.1234567 × 8 + 7 =
  26. 26.37 × 21 =
  27. 27.12345679 × 27 =
  28. 28.12345 × 8 + 5 =
  29. 29.12345679 × 45 =
  30. 30.37 × 27 =
  31. 31.37 × 6 =
  32. 32.123 × 8 + 3 =
  33. 33.123 × 9 + 4 =
  34. 34.1234567 × 9 + 8 =
  35. 35.37 × 15 =
  36. 36.111111 × 111111 =
  37. 37.12345679 × 9 =
  38. 38.37 × 9 =
  39. 39.12345679 × 54 =
  40. 40.11111 × 11111 =

Answer key

  1. 1111111
  2. 999999999
  3. 222222222
  4. 12321
  5. 111
  6. 123454321
  7. 777777777
  8. 111111111
  9. 888
  10. 444
  11. 1234321
  12. 987654
  13. 444444444
  14. 98765432
  15. 12345654321
  16. 666
  17. 111
  18. 9876
  19. 98
  20. 121
  21. 111111
  22. 11111
  23. 888888888
  24. 555
  25. 9876543
  26. 777
  27. 333333333
  28. 98765
  29. 555555555
  30. 999
  31. 222
  32. 987
  33. 1111
  34. 11111111
  35. 555
  36. 12345654321
  37. 111111111
  38. 333
  39. 666666666
  40. 123454321

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