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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 111 · 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. 1.12345 × 8 + 5 =
  2. 2.37 × 27 =
  3. 3.1234567 × 8 + 7 =
  4. 4.12345679 × 81 =
  5. 5.12345679 × 72 =
  6. 6.37 × 3 =
  7. 7.1234567 × 9 + 8 =
  8. 8.12 × 9 + 3 =
  9. 9.37 × 6 =
  10. 10.37 × 21 =
  11. 11.12345679 × 9 =
  12. 12.111111 × 111111 =
  13. 13.1234 × 9 + 5 =
  14. 14.12345679 × 36 =
  15. 15.1111 × 1111 =
  16. 16.1234 × 8 + 4 =
  17. 17.12345679 × 54 =
  18. 18.12345678 × 9 + 9 =
  19. 19.12345679 × 45 =
  20. 20.11111 × 11111 =
  21. 21.12345679 × 27 =
  22. 22.37 × 24 =
  23. 23.12345 × 9 + 6 =
  24. 24.12345679 × 18 =
  25. 25.123456 × 8 + 6 =
  26. 26.111 × 111 =
  27. 27.12345679 × 63 =
  28. 28.12 × 8 + 2 =
  29. 29.11 × 11 =
  30. 30.123456789 × 8 + 9 =
  31. 31.123456 × 9 + 7 =
  32. 32.123 × 9 + 4 =
  33. 33.37 × 9 =
  34. 34.37 × 12 =
  35. 35.37 × 15 =
  36. 36.1234567 × 9 + 8 =
  37. 37.123 × 8 + 3 =
  38. 38.123 × 8 + 3 =
  39. 39.37 × 18 =
  40. 40.12345678 × 8 + 8 =

Answer key

  1. 98765
  2. 999
  3. 9876543
  4. 999999999
  5. 888888888
  6. 111
  7. 11111111
  8. 111
  9. 222
  10. 777
  11. 111111111
  12. 12345654321
  13. 11111
  14. 444444444
  15. 1234321
  16. 9876
  17. 666666666
  18. 111111111
  19. 555555555
  20. 123454321
  21. 333333333
  22. 888
  23. 111111
  24. 222222222
  25. 987654
  26. 12321
  27. 777777777
  28. 98
  29. 121
  30. 987654321
  31. 1111111
  32. 1111
  33. 333
  34. 444
  35. 555
  36. 11111111
  37. 987
  38. 987
  39. 666
  40. 98765432

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