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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 554 · 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. 2.123 × 8 + 3 =
  3. 3.11 × 11 =
  4. 4.1234 × 9 + 5 =
  5. 5.111111 × 111111 =
  6. 6.37 × 9 =
  7. 7.12 × 8 + 2 =
  8. 8.12345679 × 45 =
  9. 9.12345679 × 36 =
  10. 10.37 × 3 =
  11. 11.37 × 18 =
  12. 12.37 × 6 =
  13. 13.123 × 9 + 4 =
  14. 14.111 × 111 =
  15. 15.12345679 × 18 =
  16. 16.12345679 × 27 =
  17. 17.12345678 × 9 + 9 =
  18. 18.123456 × 8 + 6 =
  19. 19.11111 × 11111 =
  20. 20.37 × 24 =
  21. 21.37 × 21 =
  22. 22.123456789 × 8 + 9 =
  23. 23.1234567 × 9 + 8 =
  24. 24.1234 × 8 + 4 =
  25. 25.12345 × 9 + 6 =
  26. 26.12345678 × 8 + 8 =
  27. 27.37 × 12 =
  28. 28.12345679 × 9 =
  29. 29.123456 × 9 + 7 =
  30. 30.12345679 × 81 =
  31. 31.37 × 27 =
  32. 32.1111 × 1111 =
  33. 33.37 × 15 =
  34. 34.12345 × 8 + 5 =
  35. 35.12345679 × 63 =
  36. 36.1234567 × 8 + 7 =
  37. 37.37 × 6 =
  38. 38.12345679 × 54 =
  39. 39.12 × 9 + 3 =
  40. 40.12 × 8 + 2 =

Answer key

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

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