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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 312 · 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 × 12 =
  2. 2.12345679 × 81 =
  3. 3.37 × 21 =
  4. 4.12345679 × 72 =
  5. 5.1111 × 1111 =
  6. 6.12 × 8 + 2 =
  7. 7.1234567 × 8 + 7 =
  8. 8.1234 × 9 + 5 =
  9. 9.37 × 24 =
  10. 10.12 × 9 + 3 =
  11. 11.12345679 × 54 =
  12. 12.123 × 8 + 3 =
  13. 13.123456 × 8 + 6 =
  14. 14.111 × 111 =
  15. 15.37 × 3 =
  16. 16.12345678 × 9 + 9 =
  17. 17.12345679 × 27 =
  18. 18.123 × 9 + 4 =
  19. 19.11 × 11 =
  20. 20.12345 × 8 + 5 =
  21. 21.37 × 6 =
  22. 22.11111 × 11111 =
  23. 23.111111 × 111111 =
  24. 24.1234 × 8 + 4 =
  25. 25.123456789 × 8 + 9 =
  26. 26.12345679 × 63 =
  27. 27.12345678 × 8 + 8 =
  28. 28.12345679 × 36 =
  29. 29.12345679 × 18 =
  30. 30.37 × 18 =
  31. 31.1234 × 9 + 5 =
  32. 32.12345679 × 9 =
  33. 33.12345 × 9 + 6 =
  34. 34.37 × 9 =
  35. 35.123456 × 9 + 7 =
  36. 36.37 × 27 =
  37. 37.12345679 × 45 =
  38. 38.1234567 × 9 + 8 =
  39. 39.123456 × 9 + 7 =
  40. 40.123456789 × 8 + 9 =

Answer key

  1. 444
  2. 999999999
  3. 777
  4. 888888888
  5. 1234321
  6. 98
  7. 9876543
  8. 11111
  9. 888
  10. 111
  11. 666666666
  12. 987
  13. 987654
  14. 12321
  15. 111
  16. 111111111
  17. 333333333
  18. 1111
  19. 121
  20. 98765
  21. 222
  22. 123454321
  23. 12345654321
  24. 9876
  25. 987654321
  26. 777777777
  27. 98765432
  28. 444444444
  29. 222222222
  30. 666
  31. 11111
  32. 111111111
  33. 111111
  34. 333
  35. 1111111
  36. 999
  37. 555555555
  38. 11111111
  39. 1111111
  40. 987654321

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