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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 305 · 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. 1.37 × 6 =
  2. 2.123 × 9 + 4 =
  3. 3.12345679 × 9 =
  4. 4.1234 × 9 + 5 =
  5. 5.12345679 × 36 =
  6. 6.12345679 × 72 =
  7. 7.12345678 × 8 + 8 =
  8. 8.1234567 × 9 + 8 =
  9. 9.123456789 × 8 + 9 =
  10. 10.37 × 27 =
  11. 11.111 × 111 =
  12. 12.12345679 × 81 =
  13. 13.12345679 × 27 =
  14. 14.12345678 × 9 + 9 =
  15. 15.111111 × 111111 =
  16. 16.1234 × 8 + 4 =
  17. 17.123 × 8 + 3 =
  18. 18.12 × 9 + 3 =
  19. 19.12345679 × 45 =
  20. 20.37 × 12 =
  21. 21.37 × 9 =
  22. 22.1234567 × 8 + 7 =
  23. 23.12345679 × 54 =
  24. 24.37 × 3 =
  25. 25.12345 × 8 + 5 =
  26. 26.11111 × 11111 =
  27. 27.12345679 × 63 =
  28. 28.1111 × 1111 =
  29. 29.12345679 × 18 =
  30. 30.37 × 24 =
  31. 31.37 × 18 =
  32. 32.37 × 15 =
  33. 33.12345 × 9 + 6 =
  34. 34.11 × 11 =
  35. 35.12345678 × 9 + 9 =
  36. 36.123456 × 9 + 7 =
  37. 37.37 × 21 =
  38. 38.1111 × 1111 =
  39. 39.12345679 × 45 =
  40. 40.123456 × 8 + 6 =

Answer key

  1. 222
  2. 1111
  3. 111111111
  4. 11111
  5. 444444444
  6. 888888888
  7. 98765432
  8. 11111111
  9. 987654321
  10. 999
  11. 12321
  12. 999999999
  13. 333333333
  14. 111111111
  15. 12345654321
  16. 9876
  17. 987
  18. 111
  19. 555555555
  20. 444
  21. 333
  22. 9876543
  23. 666666666
  24. 111
  25. 98765
  26. 123454321
  27. 777777777
  28. 1234321
  29. 222222222
  30. 888
  31. 666
  32. 555
  33. 111111
  34. 121
  35. 111111111
  36. 1111111
  37. 777
  38. 1234321
  39. 555555555
  40. 987654

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