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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 262 · 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. 2.12345679 × 63 =
  3. 3.12345679 × 18 =
  4. 4.11 × 11 =
  5. 5.123 × 8 + 3 =
  6. 6.12345679 × 9 =
  7. 7.37 × 3 =
  8. 8.37 × 6 =
  9. 9.1234 × 8 + 4 =
  10. 10.37 × 9 =
  11. 11.12345 × 9 + 6 =
  12. 12.12345 × 8 + 5 =
  13. 13.123 × 9 + 4 =
  14. 14.37 × 21 =
  15. 15.37 × 27 =
  16. 16.12345678 × 8 + 8 =
  17. 17.11111 × 11111 =
  18. 18.123456 × 8 + 6 =
  19. 19.1234567 × 8 + 7 =
  20. 20.12345678 × 9 + 9 =
  21. 21.123456 × 9 + 7 =
  22. 22.37 × 18 =
  23. 23.37 × 15 =
  24. 24.111111 × 111111 =
  25. 25.123456789 × 8 + 9 =
  26. 26.12345679 × 54 =
  27. 27.37 × 24 =
  28. 28.1234 × 9 + 5 =
  29. 29.1234567 × 9 + 8 =
  30. 30.37 × 12 =
  31. 31.12345679 × 45 =
  32. 32.12345679 × 27 =
  33. 33.12345679 × 72 =
  34. 34.111 × 111 =
  35. 35.12 × 8 + 2 =
  36. 36.11111 × 11111 =
  37. 37.12345679 × 36 =
  38. 38.12345679 × 45 =
  39. 39.111111 × 111111 =
  40. 40.12345679 × 81 =

Answer key

  1. 111
  2. 777777777
  3. 222222222
  4. 121
  5. 987
  6. 111111111
  7. 111
  8. 222
  9. 9876
  10. 333
  11. 111111
  12. 98765
  13. 1111
  14. 777
  15. 999
  16. 98765432
  17. 123454321
  18. 987654
  19. 9876543
  20. 111111111
  21. 1111111
  22. 666
  23. 555
  24. 12345654321
  25. 987654321
  26. 666666666
  27. 888
  28. 11111
  29. 11111111
  30. 444
  31. 555555555
  32. 333333333
  33. 888888888
  34. 12321
  35. 98
  36. 123454321
  37. 444444444
  38. 555555555
  39. 12345654321
  40. 999999999

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