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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 299 · 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. 2.123 × 9 + 4 =
  3. 3.37 × 18 =
  4. 4.37 × 9 =
  5. 5.12345 × 9 + 6 =
  6. 6.111 × 111 =
  7. 7.123456 × 9 + 7 =
  8. 8.12345679 × 72 =
  9. 9.12345678 × 8 + 8 =
  10. 10.12345679 × 36 =
  11. 11.12345 × 8 + 5 =
  12. 12.11111 × 11111 =
  13. 13.12345679 × 54 =
  14. 14.11 × 11 =
  15. 15.37 × 21 =
  16. 16.12345678 × 9 + 9 =
  17. 17.12345679 × 18 =
  18. 18.1111 × 1111 =
  19. 19.12 × 8 + 2 =
  20. 20.37 × 27 =
  21. 21.12345679 × 81 =
  22. 22.37 × 15 =
  23. 23.123456789 × 8 + 9 =
  24. 24.12345679 × 63 =
  25. 25.123456 × 8 + 6 =
  26. 26.12 × 9 + 3 =
  27. 27.1234 × 9 + 5 =
  28. 28.123 × 8 + 3 =
  29. 29.37 × 3 =
  30. 30.12345679 × 9 =
  31. 31.1234567 × 8 + 7 =
  32. 32.12345679 × 18 =
  33. 33.12345679 × 27 =
  34. 34.12345679 × 45 =
  35. 35.111111 × 111111 =
  36. 36.37 × 12 =
  37. 37.12345679 × 45 =
  38. 38.1234567 × 9 + 8 =
  39. 39.1234 × 8 + 4 =
  40. 40.123 × 9 + 4 =

Answer key

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

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