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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 233 · 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 × 9 =
  2. 2.37 × 15 =
  3. 3.11 × 11 =
  4. 4.12 × 9 + 3 =
  5. 5.37 × 24 =
  6. 6.123 × 9 + 4 =
  7. 7.37 × 6 =
  8. 8.12345679 × 54 =
  9. 9.12 × 8 + 2 =
  10. 10.12345679 × 27 =
  11. 11.123 × 8 + 3 =
  12. 12.1234 × 9 + 5 =
  13. 13.1234 × 8 + 4 =
  14. 14.12345678 × 8 + 8 =
  15. 15.11111 × 11111 =
  16. 16.12345679 × 72 =
  17. 17.111 × 111 =
  18. 18.1234567 × 8 + 7 =
  19. 19.12345678 × 9 + 9 =
  20. 20.12345679 × 18 =
  21. 21.12345 × 9 + 6 =
  22. 22.12345679 × 63 =
  23. 23.12345679 × 9 =
  24. 24.37 × 21 =
  25. 25.1111 × 1111 =
  26. 26.12345 × 8 + 5 =
  27. 27.123456 × 8 + 6 =
  28. 28.37 × 12 =
  29. 29.12345679 × 36 =
  30. 30.37 × 27 =
  31. 31.123456 × 9 + 7 =
  32. 32.12345679 × 45 =
  33. 33.12345679 × 81 =
  34. 34.111111 × 111111 =
  35. 35.12345678 × 8 + 8 =
  36. 36.37 × 18 =
  37. 37.37 × 9 =
  38. 38.37 × 3 =
  39. 39.123456789 × 8 + 9 =
  40. 40.123456 × 8 + 6 =

Answer key

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

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