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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 368 · 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 × 24 =
  2. 2.111 × 111 =
  3. 3.1234 × 9 + 5 =
  4. 4.37 × 6 =
  5. 5.37 × 3 =
  6. 6.37 × 15 =
  7. 7.1234 × 8 + 4 =
  8. 8.12345678 × 9 + 9 =
  9. 9.12345679 × 72 =
  10. 10.1234567 × 9 + 8 =
  11. 11.123456 × 8 + 6 =
  12. 12.12 × 9 + 3 =
  13. 13.11 × 11 =
  14. 14.1111 × 1111 =
  15. 15.37 × 9 =
  16. 16.111111 × 111111 =
  17. 17.1234567 × 8 + 7 =
  18. 18.12345678 × 8 + 8 =
  19. 19.12 × 8 + 2 =
  20. 20.123456 × 9 + 7 =
  21. 21.12345679 × 45 =
  22. 22.123 × 8 + 3 =
  23. 23.37 × 21 =
  24. 24.37 × 18 =
  25. 25.37 × 27 =
  26. 26.12345679 × 63 =
  27. 27.12345679 × 18 =
  28. 28.12345 × 8 + 5 =
  29. 29.37 × 12 =
  30. 30.123 × 9 + 4 =
  31. 31.12345679 × 27 =
  32. 32.12345679 × 9 =
  33. 33.12345679 × 81 =
  34. 34.11111 × 11111 =
  35. 35.12345 × 9 + 6 =
  36. 36.37 × 21 =
  37. 37.123456789 × 8 + 9 =
  38. 38.12345 × 9 + 6 =
  39. 39.12345679 × 36 =
  40. 40.37 × 6 =

Answer key

  1. 888
  2. 12321
  3. 11111
  4. 222
  5. 111
  6. 555
  7. 9876
  8. 111111111
  9. 888888888
  10. 11111111
  11. 987654
  12. 111
  13. 121
  14. 1234321
  15. 333
  16. 12345654321
  17. 9876543
  18. 98765432
  19. 98
  20. 1111111
  21. 555555555
  22. 987
  23. 777
  24. 666
  25. 999
  26. 777777777
  27. 222222222
  28. 98765
  29. 444
  30. 1111
  31. 333333333
  32. 111111111
  33. 999999999
  34. 123454321
  35. 111111
  36. 777
  37. 987654321
  38. 111111
  39. 444444444
  40. 222

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