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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 598 · 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. 1.123 × 8 + 3 =
  2. 2.12345679 × 81 =
  3. 3.123 × 9 + 4 =
  4. 4.12345679 × 9 =
  5. 5.12 × 9 + 3 =
  6. 6.37 × 3 =
  7. 7.12345679 × 72 =
  8. 8.11 × 11 =
  9. 9.12345679 × 45 =
  10. 10.1234567 × 9 + 8 =
  11. 11.37 × 9 =
  12. 12.12345679 × 54 =
  13. 13.37 × 15 =
  14. 14.12345679 × 36 =
  15. 15.37 × 27 =
  16. 16.1234567 × 8 + 7 =
  17. 17.37 × 6 =
  18. 18.123456 × 8 + 6 =
  19. 19.111111 × 111111 =
  20. 20.12345679 × 18 =
  21. 21.123456 × 9 + 7 =
  22. 22.123456789 × 8 + 9 =
  23. 23.37 × 24 =
  24. 24.12345678 × 9 + 9 =
  25. 25.37 × 21 =
  26. 26.1111 × 1111 =
  27. 27.12345 × 9 + 6 =
  28. 28.12345 × 8 + 5 =
  29. 29.12345679 × 63 =
  30. 30.37 × 18 =
  31. 31.1234 × 8 + 4 =
  32. 32.12345679 × 27 =
  33. 33.11111 × 11111 =
  34. 34.12 × 8 + 2 =
  35. 35.12345678 × 8 + 8 =
  36. 36.111 × 111 =
  37. 37.12345 × 8 + 5 =
  38. 38.1234 × 9 + 5 =
  39. 39.12345 × 9 + 6 =
  40. 40.123 × 9 + 4 =

Answer key

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

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