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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 695 · 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 × 9 =
  3. 3.123 × 8 + 3 =
  4. 4.37 × 12 =
  5. 5.11 × 11 =
  6. 6.1234567 × 9 + 8 =
  7. 7.12345 × 8 + 5 =
  8. 8.111 × 111 =
  9. 9.12345679 × 18 =
  10. 10.12 × 9 + 3 =
  11. 11.11111 × 11111 =
  12. 12.37 × 18 =
  13. 13.12345679 × 81 =
  14. 14.37 × 24 =
  15. 15.1234 × 8 + 4 =
  16. 16.111111 × 111111 =
  17. 17.12345679 × 63 =
  18. 18.12345 × 9 + 6 =
  19. 19.123456789 × 8 + 9 =
  20. 20.37 × 3 =
  21. 21.12345679 × 72 =
  22. 22.12345678 × 8 + 8 =
  23. 23.1111 × 1111 =
  24. 24.37 × 6 =
  25. 25.123456 × 9 + 7 =
  26. 26.12345679 × 45 =
  27. 27.37 × 27 =
  28. 28.12345679 × 36 =
  29. 29.12345679 × 9 =
  30. 30.123 × 9 + 4 =
  31. 31.37 × 21 =
  32. 32.11111 × 11111 =
  33. 33.1234567 × 8 + 7 =
  34. 34.12 × 8 + 2 =
  35. 35.123456 × 8 + 6 =
  36. 36.1234 × 9 + 5 =
  37. 37.11 × 11 =
  38. 38.37 × 18 =
  39. 39.37 × 15 =
  40. 40.123456 × 9 + 7 =

Answer key

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

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