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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 510 · 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 × 72 =
  2. 2.12345 × 8 + 5 =
  3. 3.11 × 11 =
  4. 4.37 × 27 =
  5. 5.12345679 × 45 =
  6. 6.1111 × 1111 =
  7. 7.12345679 × 63 =
  8. 8.12345679 × 54 =
  9. 9.37 × 18 =
  10. 10.1234 × 9 + 5 =
  11. 11.12345679 × 9 =
  12. 12.12345679 × 81 =
  13. 13.12345678 × 9 + 9 =
  14. 14.123 × 8 + 3 =
  15. 15.1234 × 8 + 4 =
  16. 16.11111 × 11111 =
  17. 17.12345679 × 27 =
  18. 18.37 × 21 =
  19. 19.111111 × 111111 =
  20. 20.37 × 3 =
  21. 21.12345678 × 8 + 8 =
  22. 22.12345679 × 36 =
  23. 23.37 × 6 =
  24. 24.37 × 24 =
  25. 25.1234567 × 8 + 7 =
  26. 26.37 × 12 =
  27. 27.12 × 9 + 3 =
  28. 28.37 × 15 =
  29. 29.12345 × 9 + 6 =
  30. 30.111 × 111 =
  31. 31.12345679 × 18 =
  32. 32.12 × 8 + 2 =
  33. 33.123 × 9 + 4 =
  34. 34.37 × 27 =
  35. 35.123456 × 9 + 7 =
  36. 36.111 × 111 =
  37. 37.12 × 9 + 3 =
  38. 38.12345 × 8 + 5 =
  39. 39.12345 × 8 + 5 =
  40. 40.1234567 × 9 + 8 =

Answer key

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

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