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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 296 · 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. 2.1234 × 9 + 5 =
  3. 3.12345 × 8 + 5 =
  4. 4.123 × 9 + 4 =
  5. 5.123456 × 8 + 6 =
  6. 6.12345679 × 18 =
  7. 7.11111 × 11111 =
  8. 8.1234567 × 8 + 7 =
  9. 9.12345 × 9 + 6 =
  10. 10.11 × 11 =
  11. 11.111111 × 111111 =
  12. 12.123456789 × 8 + 9 =
  13. 13.123456 × 9 + 7 =
  14. 14.111 × 111 =
  15. 15.1111 × 1111 =
  16. 16.37 × 15 =
  17. 17.123 × 8 + 3 =
  18. 18.12345679 × 72 =
  19. 19.12345679 × 27 =
  20. 20.12 × 8 + 2 =
  21. 21.12 × 9 + 3 =
  22. 22.12345678 × 9 + 9 =
  23. 23.37 × 3 =
  24. 24.12345679 × 63 =
  25. 25.37 × 6 =
  26. 26.37 × 21 =
  27. 27.12345679 × 9 =
  28. 28.37 × 27 =
  29. 29.12345678 × 8 + 8 =
  30. 30.1234567 × 9 + 8 =
  31. 31.37 × 18 =
  32. 32.12345679 × 36 =
  33. 33.12345679 × 45 =
  34. 34.37 × 24 =
  35. 35.37 × 9 =
  36. 36.37 × 9 =
  37. 37.12345679 × 81 =
  38. 38.37 × 3 =
  39. 39.12345679 × 36 =
  40. 40.37 × 27 =

Answer key

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

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