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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 147 · 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 × 27 =
  2. 2.37 × 15 =
  3. 3.123456 × 8 + 6 =
  4. 4.12345679 × 54 =
  5. 5.1234 × 8 + 4 =
  6. 6.12345 × 9 + 6 =
  7. 7.37 × 6 =
  8. 8.11111 × 11111 =
  9. 9.1234567 × 9 + 8 =
  10. 10.12 × 8 + 2 =
  11. 11.37 × 18 =
  12. 12.12345679 × 72 =
  13. 13.12345678 × 9 + 9 =
  14. 14.12345679 × 81 =
  15. 15.11 × 11 =
  16. 16.12345679 × 9 =
  17. 17.12345679 × 18 =
  18. 18.12345678 × 8 + 8 =
  19. 19.37 × 21 =
  20. 20.12345 × 8 + 5 =
  21. 21.37 × 12 =
  22. 22.123 × 8 + 3 =
  23. 23.37 × 24 =
  24. 24.1111 × 1111 =
  25. 25.12345679 × 45 =
  26. 26.12345679 × 63 =
  27. 27.12 × 9 + 3 =
  28. 28.12 × 9 + 3 =
  29. 29.37 × 3 =
  30. 30.37 × 9 =
  31. 31.37 × 27 =
  32. 32.111 × 111 =
  33. 33.1234 × 9 + 5 =
  34. 34.12345679 × 36 =
  35. 35.123456 × 9 + 7 =
  36. 36.37 × 18 =
  37. 37.111111 × 111111 =
  38. 38.123 × 9 + 4 =
  39. 39.37 × 3 =
  40. 40.1234567 × 8 + 7 =

Answer key

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

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