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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 81 · 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. 1.123 × 9 + 4 =
  2. 2.12345679 × 81 =
  3. 3.37 × 3 =
  4. 4.1234567 × 8 + 7 =
  5. 5.37 × 15 =
  6. 6.123456789 × 8 + 9 =
  7. 7.12345679 × 18 =
  8. 8.11 × 11 =
  9. 9.12 × 9 + 3 =
  10. 10.12345 × 8 + 5 =
  11. 11.12345678 × 9 + 9 =
  12. 12.1111 × 1111 =
  13. 13.12 × 8 + 2 =
  14. 14.11111 × 11111 =
  15. 15.123456 × 9 + 7 =
  16. 16.111111 × 111111 =
  17. 17.111 × 111 =
  18. 18.1234567 × 9 + 8 =
  19. 19.37 × 9 =
  20. 20.12345679 × 9 =
  21. 21.12345679 × 27 =
  22. 22.12345679 × 63 =
  23. 23.1234 × 8 + 4 =
  24. 24.1234 × 9 + 5 =
  25. 25.12345679 × 36 =
  26. 26.37 × 18 =
  27. 27.37 × 21 =
  28. 28.12345679 × 45 =
  29. 29.37 × 27 =
  30. 30.12345 × 9 + 6 =
  31. 31.123 × 8 + 3 =
  32. 32.37 × 6 =
  33. 33.37 × 24 =
  34. 34.12345679 × 54 =
  35. 35.12345678 × 8 + 8 =
  36. 36.12345679 × 72 =
  37. 37.12345 × 9 + 6 =
  38. 38.12345679 × 9 =
  39. 39.12345679 × 18 =
  40. 40.12345678 × 8 + 8 =

Answer key

  1. 1111
  2. 999999999
  3. 111
  4. 9876543
  5. 555
  6. 987654321
  7. 222222222
  8. 121
  9. 111
  10. 98765
  11. 111111111
  12. 1234321
  13. 98
  14. 123454321
  15. 1111111
  16. 12345654321
  17. 12321
  18. 11111111
  19. 333
  20. 111111111
  21. 333333333
  22. 777777777
  23. 9876
  24. 11111
  25. 444444444
  26. 666
  27. 777
  28. 555555555
  29. 999
  30. 111111
  31. 987
  32. 222
  33. 888
  34. 666666666
  35. 98765432
  36. 888888888
  37. 111111
  38. 111111111
  39. 222222222
  40. 98765432

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