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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 697 · 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 × 27 =
  2. 2.123456 × 9 + 7 =
  3. 3.37 × 15 =
  4. 4.37 × 24 =
  5. 5.12345679 × 18 =
  6. 6.12345679 × 45 =
  7. 7.37 × 21 =
  8. 8.123 × 8 + 3 =
  9. 9.37 × 6 =
  10. 10.37 × 18 =
  11. 11.37 × 3 =
  12. 12.37 × 9 =
  13. 13.111111 × 111111 =
  14. 14.111 × 111 =
  15. 15.12345679 × 27 =
  16. 16.1111 × 1111 =
  17. 17.12345679 × 81 =
  18. 18.12 × 9 + 3 =
  19. 19.11 × 11 =
  20. 20.12345679 × 36 =
  21. 21.12345679 × 9 =
  22. 22.123 × 9 + 4 =
  23. 23.12345678 × 8 + 8 =
  24. 24.12345679 × 54 =
  25. 25.1234567 × 9 + 8 =
  26. 26.12345678 × 9 + 9 =
  27. 27.12 × 8 + 2 =
  28. 28.12345679 × 72 =
  29. 29.12345679 × 63 =
  30. 30.123456 × 8 + 6 =
  31. 31.12345 × 9 + 6 =
  32. 32.12345 × 8 + 5 =
  33. 33.1234 × 9 + 5 =
  34. 34.11 × 11 =
  35. 35.1234567 × 8 + 7 =
  36. 36.1234 × 8 + 4 =
  37. 37.37 × 12 =
  38. 38.12345679 × 72 =
  39. 39.123 × 9 + 4 =
  40. 40.37 × 21 =

Answer key

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

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