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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 670 · 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 × 9 + 6 =
  2. 2.37 × 12 =
  3. 3.12345679 × 27 =
  4. 4.123 × 8 + 3 =
  5. 5.123456 × 8 + 6 =
  6. 6.12345679 × 9 =
  7. 7.1111 × 1111 =
  8. 8.1234 × 8 + 4 =
  9. 9.12 × 9 + 3 =
  10. 10.12345679 × 54 =
  11. 11.37 × 9 =
  12. 12.12345678 × 8 + 8 =
  13. 13.12345679 × 18 =
  14. 14.123456 × 9 + 7 =
  15. 15.37 × 18 =
  16. 16.123456789 × 8 + 9 =
  17. 17.12345679 × 72 =
  18. 18.12345679 × 36 =
  19. 19.37 × 24 =
  20. 20.11 × 11 =
  21. 21.111111 × 111111 =
  22. 22.37 × 3 =
  23. 23.12 × 8 + 2 =
  24. 24.12345678 × 9 + 9 =
  25. 25.12345679 × 81 =
  26. 26.1234567 × 8 + 7 =
  27. 27.1234 × 9 + 5 =
  28. 28.12345679 × 63 =
  29. 29.11111 × 11111 =
  30. 30.111 × 111 =
  31. 31.12345679 × 45 =
  32. 32.37 × 15 =
  33. 33.37 × 6 =
  34. 34.37 × 21 =
  35. 35.12345 × 8 + 5 =
  36. 36.123 × 9 + 4 =
  37. 37.37 × 15 =
  38. 38.1234 × 8 + 4 =
  39. 39.37 × 6 =
  40. 40.12345 × 9 + 6 =

Answer key

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

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