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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 360 · 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 × 27 =
  2. 2.1111 × 1111 =
  3. 3.123 × 8 + 3 =
  4. 4.37 × 27 =
  5. 5.37 × 21 =
  6. 6.12345679 × 81 =
  7. 7.111 × 111 =
  8. 8.37 × 9 =
  9. 9.12345679 × 72 =
  10. 10.12345679 × 54 =
  11. 11.12345679 × 36 =
  12. 12.1234567 × 9 + 8 =
  13. 13.11 × 11 =
  14. 14.1234 × 9 + 5 =
  15. 15.1234567 × 8 + 7 =
  16. 16.12 × 9 + 3 =
  17. 17.37 × 3 =
  18. 18.123 × 9 + 4 =
  19. 19.12345 × 8 + 5 =
  20. 20.12345679 × 45 =
  21. 21.37 × 6 =
  22. 22.12345 × 9 + 6 =
  23. 23.37 × 24 =
  24. 24.111111 × 111111 =
  25. 25.37 × 18 =
  26. 26.11111 × 11111 =
  27. 27.123456 × 9 + 7 =
  28. 28.1234 × 8 + 4 =
  29. 29.12345679 × 63 =
  30. 30.123456 × 8 + 6 =
  31. 31.12345679 × 9 =
  32. 32.37 × 15 =
  33. 33.37 × 3 =
  34. 34.12 × 8 + 2 =
  35. 35.12345678 × 9 + 9 =
  36. 36.1234567 × 8 + 7 =
  37. 37.1234567 × 8 + 7 =
  38. 38.12345679 × 18 =
  39. 39.37 × 12 =
  40. 40.12345679 × 36 =

Answer key

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

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