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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 548 · 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. 1.37 × 6 =
  2. 2.111 × 111 =
  3. 3.1111 × 1111 =
  4. 4.12345 × 9 + 6 =
  5. 5.12345678 × 8 + 8 =
  6. 6.37 × 21 =
  7. 7.123456 × 9 + 7 =
  8. 8.37 × 3 =
  9. 9.37 × 9 =
  10. 10.12345679 × 27 =
  11. 11.37 × 27 =
  12. 12.12 × 8 + 2 =
  13. 13.123 × 9 + 4 =
  14. 14.11111 × 11111 =
  15. 15.12345679 × 18 =
  16. 16.37 × 18 =
  17. 17.12345679 × 54 =
  18. 18.37 × 12 =
  19. 19.12345679 × 63 =
  20. 20.11 × 11 =
  21. 21.12345679 × 9 =
  22. 22.1234567 × 9 + 8 =
  23. 23.12345679 × 45 =
  24. 24.12345 × 8 + 5 =
  25. 25.12 × 9 + 3 =
  26. 26.1234 × 8 + 4 =
  27. 27.111111 × 111111 =
  28. 28.12345678 × 9 + 9 =
  29. 29.37 × 12 =
  30. 30.1234 × 9 + 5 =
  31. 31.1234567 × 8 + 7 =
  32. 32.37 × 24 =
  33. 33.123456789 × 8 + 9 =
  34. 34.123 × 8 + 3 =
  35. 35.12345679 × 81 =
  36. 36.123456 × 8 + 6 =
  37. 37.37 × 15 =
  38. 38.123456 × 8 + 6 =
  39. 39.37 × 3 =
  40. 40.123 × 8 + 3 =

Answer key

  1. 222
  2. 12321
  3. 1234321
  4. 111111
  5. 98765432
  6. 777
  7. 1111111
  8. 111
  9. 333
  10. 333333333
  11. 999
  12. 98
  13. 1111
  14. 123454321
  15. 222222222
  16. 666
  17. 666666666
  18. 444
  19. 777777777
  20. 121
  21. 111111111
  22. 11111111
  23. 555555555
  24. 98765
  25. 111
  26. 9876
  27. 12345654321
  28. 111111111
  29. 444
  30. 11111
  31. 9876543
  32. 888
  33. 987654321
  34. 987
  35. 999999999
  36. 987654
  37. 555
  38. 987654
  39. 111
  40. 987

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