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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 340 · 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 × 27 =
  3. 3.11 × 11 =
  4. 4.12345679 × 54 =
  5. 5.123456 × 8 + 6 =
  6. 6.37 × 12 =
  7. 7.37 × 18 =
  8. 8.1234567 × 9 + 8 =
  9. 9.111111 × 111111 =
  10. 10.111 × 111 =
  11. 11.12345679 × 81 =
  12. 12.37 × 21 =
  13. 13.1234 × 8 + 4 =
  14. 14.123 × 8 + 3 =
  15. 15.37 × 27 =
  16. 16.123 × 9 + 4 =
  17. 17.37 × 3 =
  18. 18.11111 × 11111 =
  19. 19.37 × 15 =
  20. 20.37 × 24 =
  21. 21.12345678 × 9 + 9 =
  22. 22.37 × 9 =
  23. 23.12 × 9 + 3 =
  24. 24.12345679 × 9 =
  25. 25.123456 × 9 + 7 =
  26. 26.12 × 8 + 2 =
  27. 27.12345 × 8 + 5 =
  28. 28.12345679 × 36 =
  29. 29.37 × 6 =
  30. 30.12345679 × 72 =
  31. 31.1234 × 9 + 5 =
  32. 32.123456789 × 8 + 9 =
  33. 33.12345678 × 8 + 8 =
  34. 34.1234 × 8 + 4 =
  35. 35.12345679 × 18 =
  36. 36.1111 × 1111 =
  37. 37.37 × 9 =
  38. 38.12345679 × 45 =
  39. 39.12345 × 9 + 6 =
  40. 40.12345679 × 63 =

Answer key

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

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