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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 211 · 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. 1.12345679 × 9 =
  2. 2.12345679 × 36 =
  3. 3.11 × 11 =
  4. 4.1111 × 1111 =
  5. 5.37 × 6 =
  6. 6.37 × 9 =
  7. 7.37 × 24 =
  8. 8.123456 × 9 + 7 =
  9. 9.12 × 8 + 2 =
  10. 10.1234 × 8 + 4 =
  11. 11.111 × 111 =
  12. 12.123 × 8 + 3 =
  13. 13.12345679 × 81 =
  14. 14.37 × 18 =
  15. 15.12345678 × 8 + 8 =
  16. 16.12 × 9 + 3 =
  17. 17.12345679 × 18 =
  18. 18.37 × 15 =
  19. 19.123 × 9 + 4 =
  20. 20.12345679 × 72 =
  21. 21.12345678 × 9 + 9 =
  22. 22.37 × 27 =
  23. 23.12345 × 8 + 5 =
  24. 24.37 × 21 =
  25. 25.12345679 × 63 =
  26. 26.11111 × 11111 =
  27. 27.12345679 × 27 =
  28. 28.12345679 × 45 =
  29. 29.123456 × 8 + 6 =
  30. 30.37 × 12 =
  31. 31.12345679 × 54 =
  32. 32.1234 × 9 + 5 =
  33. 33.1234567 × 9 + 8 =
  34. 34.1234567 × 8 + 7 =
  35. 35.111111 × 111111 =
  36. 36.37 × 3 =
  37. 37.12345 × 9 + 6 =
  38. 38.12 × 9 + 3 =
  39. 39.123456789 × 8 + 9 =
  40. 40.12345679 × 18 =

Answer key

  1. 111111111
  2. 444444444
  3. 121
  4. 1234321
  5. 222
  6. 333
  7. 888
  8. 1111111
  9. 98
  10. 9876
  11. 12321
  12. 987
  13. 999999999
  14. 666
  15. 98765432
  16. 111
  17. 222222222
  18. 555
  19. 1111
  20. 888888888
  21. 111111111
  22. 999
  23. 98765
  24. 777
  25. 777777777
  26. 123454321
  27. 333333333
  28. 555555555
  29. 987654
  30. 444
  31. 666666666
  32. 11111
  33. 11111111
  34. 9876543
  35. 12345654321
  36. 111
  37. 111111
  38. 111
  39. 987654321
  40. 222222222

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