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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 276 · 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. 2.12345679 × 63 =
  3. 3.123456 × 8 + 6 =
  4. 4.12345679 × 27 =
  5. 5.111111 × 111111 =
  6. 6.1234 × 9 + 5 =
  7. 7.11 × 11 =
  8. 8.111 × 111 =
  9. 9.123456 × 9 + 7 =
  10. 10.1111 × 1111 =
  11. 11.1234 × 8 + 4 =
  12. 12.123 × 8 + 3 =
  13. 13.1234567 × 8 + 7 =
  14. 14.12345679 × 18 =
  15. 15.37 × 15 =
  16. 16.12345678 × 9 + 9 =
  17. 17.37 × 3 =
  18. 18.12345678 × 8 + 8 =
  19. 19.1234567 × 9 + 8 =
  20. 20.37 × 12 =
  21. 21.11111 × 11111 =
  22. 22.37 × 24 =
  23. 23.123 × 9 + 4 =
  24. 24.12 × 9 + 3 =
  25. 25.12345679 × 9 =
  26. 26.12345679 × 54 =
  27. 27.37 × 18 =
  28. 28.12345679 × 72 =
  29. 29.12 × 8 + 2 =
  30. 30.12345679 × 45 =
  31. 31.123456789 × 8 + 9 =
  32. 32.37 × 15 =
  33. 33.12345679 × 81 =
  34. 34.37 × 6 =
  35. 35.12345 × 8 + 5 =
  36. 36.12345679 × 36 =
  37. 37.11 × 11 =
  38. 38.37 × 27 =
  39. 39.12345 × 8 + 5 =
  40. 40.123 × 9 + 4 =

Answer key

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

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