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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 308 · 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. 1.12 × 9 + 3 =
  2. 2.1111 × 1111 =
  3. 3.12345679 × 9 =
  4. 4.12 × 8 + 2 =
  5. 5.12345678 × 9 + 9 =
  6. 6.123456 × 9 + 7 =
  7. 7.11 × 11 =
  8. 8.1234 × 8 + 4 =
  9. 9.111 × 111 =
  10. 10.37 × 12 =
  11. 11.12345679 × 18 =
  12. 12.37 × 3 =
  13. 13.37 × 21 =
  14. 14.1234 × 9 + 5 =
  15. 15.1234567 × 9 + 8 =
  16. 16.37 × 9 =
  17. 17.123 × 8 + 3 =
  18. 18.123 × 9 + 4 =
  19. 19.12345679 × 36 =
  20. 20.37 × 6 =
  21. 21.12345679 × 54 =
  22. 22.123456789 × 8 + 9 =
  23. 23.123456 × 8 + 6 =
  24. 24.37 × 18 =
  25. 25.11111 × 11111 =
  26. 26.12345679 × 72 =
  27. 27.12345679 × 63 =
  28. 28.111111 × 111111 =
  29. 29.12345 × 8 + 5 =
  30. 30.12345679 × 81 =
  31. 31.37 × 27 =
  32. 32.12345 × 9 + 6 =
  33. 33.37 × 15 =
  34. 34.1234567 × 8 + 7 =
  35. 35.123456 × 8 + 6 =
  36. 36.37 × 24 =
  37. 37.12345679 × 27 =
  38. 38.12345679 × 45 =
  39. 39.1234567 × 8 + 7 =
  40. 40.12345679 × 81 =

Answer key

  1. 111
  2. 1234321
  3. 111111111
  4. 98
  5. 111111111
  6. 1111111
  7. 121
  8. 9876
  9. 12321
  10. 444
  11. 222222222
  12. 111
  13. 777
  14. 11111
  15. 11111111
  16. 333
  17. 987
  18. 1111
  19. 444444444
  20. 222
  21. 666666666
  22. 987654321
  23. 987654
  24. 666
  25. 123454321
  26. 888888888
  27. 777777777
  28. 12345654321
  29. 98765
  30. 999999999
  31. 999
  32. 111111
  33. 555
  34. 9876543
  35. 987654
  36. 888
  37. 333333333
  38. 555555555
  39. 9876543
  40. 999999999

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