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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 270 · 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. 1.123456 × 9 + 7 =
  2. 2.12 × 9 + 3 =
  3. 3.1234 × 9 + 5 =
  4. 4.37 × 21 =
  5. 5.12345679 × 72 =
  6. 6.12345679 × 9 =
  7. 7.11111 × 11111 =
  8. 8.12345678 × 8 + 8 =
  9. 9.1111 × 1111 =
  10. 10.1234 × 8 + 4 =
  11. 11.123 × 9 + 4 =
  12. 12.37 × 12 =
  13. 13.12345679 × 81 =
  14. 14.12345 × 8 + 5 =
  15. 15.37 × 3 =
  16. 16.111 × 111 =
  17. 17.1234567 × 8 + 7 =
  18. 18.12345679 × 63 =
  19. 19.12345679 × 36 =
  20. 20.37 × 27 =
  21. 21.37 × 9 =
  22. 22.12345679 × 18 =
  23. 23.12345679 × 54 =
  24. 24.37 × 24 =
  25. 25.123 × 8 + 3 =
  26. 26.12345679 × 27 =
  27. 27.123456789 × 8 + 9 =
  28. 28.12 × 8 + 2 =
  29. 29.11 × 11 =
  30. 30.111111 × 111111 =
  31. 31.123456 × 8 + 6 =
  32. 32.37 × 6 =
  33. 33.12345678 × 9 + 9 =
  34. 34.1234567 × 9 + 8 =
  35. 35.12345679 × 45 =
  36. 36.37 × 18 =
  37. 37.12 × 9 + 3 =
  38. 38.123456 × 9 + 7 =
  39. 39.37 × 15 =
  40. 40.37 × 3 =

Answer key

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

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