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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 9 · 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. 1.12345678 × 9 + 9 =
  2. 2.12345679 × 9 =
  3. 3.1234567 × 8 + 7 =
  4. 4.37 × 24 =
  5. 5.123456 × 9 + 7 =
  6. 6.111 × 111 =
  7. 7.12345678 × 8 + 8 =
  8. 8.1234 × 8 + 4 =
  9. 9.12 × 8 + 2 =
  10. 10.1111 × 1111 =
  11. 11.37 × 15 =
  12. 12.11111 × 11111 =
  13. 13.12345679 × 72 =
  14. 14.12345679 × 18 =
  15. 15.12345 × 9 + 6 =
  16. 16.12345679 × 81 =
  17. 17.12345679 × 27 =
  18. 18.12 × 9 + 3 =
  19. 19.37 × 27 =
  20. 20.11 × 11 =
  21. 21.12345679 × 63 =
  22. 22.1234 × 9 + 5 =
  23. 23.123 × 9 + 4 =
  24. 24.37 × 18 =
  25. 25.1234567 × 9 + 8 =
  26. 26.37 × 12 =
  27. 27.37 × 9 =
  28. 28.12345 × 8 + 5 =
  29. 29.12345679 × 54 =
  30. 30.37 × 24 =
  31. 31.123456 × 8 + 6 =
  32. 32.123 × 8 + 3 =
  33. 33.37 × 6 =
  34. 34.123456789 × 8 + 9 =
  35. 35.111111 × 111111 =
  36. 36.12345679 × 9 =
  37. 37.12345679 × 45 =
  38. 38.37 × 3 =
  39. 39.37 × 3 =
  40. 40.12345679 × 72 =

Answer key

  1. 111111111
  2. 111111111
  3. 9876543
  4. 888
  5. 1111111
  6. 12321
  7. 98765432
  8. 9876
  9. 98
  10. 1234321
  11. 555
  12. 123454321
  13. 888888888
  14. 222222222
  15. 111111
  16. 999999999
  17. 333333333
  18. 111
  19. 999
  20. 121
  21. 777777777
  22. 11111
  23. 1111
  24. 666
  25. 11111111
  26. 444
  27. 333
  28. 98765
  29. 666666666
  30. 888
  31. 987654
  32. 987
  33. 222
  34. 987654321
  35. 12345654321
  36. 111111111
  37. 555555555
  38. 111
  39. 111
  40. 888888888

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