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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 48 · 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. 2.123 × 9 + 4 =
  3. 3.111111 × 111111 =
  4. 4.12 × 8 + 2 =
  5. 5.11 × 11 =
  6. 6.1234 × 8 + 4 =
  7. 7.12345679 × 45 =
  8. 8.12345 × 8 + 5 =
  9. 9.37 × 9 =
  10. 10.37 × 21 =
  11. 11.123 × 8 + 3 =
  12. 12.11111 × 11111 =
  13. 13.12345679 × 18 =
  14. 14.37 × 12 =
  15. 15.12345679 × 63 =
  16. 16.37 × 15 =
  17. 17.37 × 6 =
  18. 18.37 × 3 =
  19. 19.1234567 × 9 + 8 =
  20. 20.12345679 × 36 =
  21. 21.1234 × 9 + 5 =
  22. 22.12345679 × 81 =
  23. 23.12345679 × 27 =
  24. 24.37 × 18 =
  25. 25.37 × 24 =
  26. 26.12345679 × 72 =
  27. 27.111 × 111 =
  28. 28.1234567 × 8 + 7 =
  29. 29.12 × 9 + 3 =
  30. 30.12345679 × 9 =
  31. 31.12345679 × 9 =
  32. 32.1111 × 1111 =
  33. 33.123456 × 9 + 7 =
  34. 34.123456789 × 8 + 9 =
  35. 35.37 × 27 =
  36. 36.37 × 15 =
  37. 37.12345679 × 72 =
  38. 38.12345679 × 54 =
  39. 39.12345 × 9 + 6 =
  40. 40.37 × 15 =

Answer key

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

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