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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 698 · 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 × 12 =
  2. 2.37 × 21 =
  3. 3.1234567 × 9 + 8 =
  4. 4.12345678 × 9 + 9 =
  5. 5.1111 × 1111 =
  6. 6.111111 × 111111 =
  7. 7.12345 × 9 + 6 =
  8. 8.123456 × 8 + 6 =
  9. 9.123 × 9 + 4 =
  10. 10.37 × 15 =
  11. 11.12 × 9 + 3 =
  12. 12.111 × 111 =
  13. 13.37 × 9 =
  14. 14.12345679 × 54 =
  15. 15.37 × 24 =
  16. 16.12345679 × 36 =
  17. 17.123456 × 9 + 7 =
  18. 18.12345679 × 9 =
  19. 19.12345679 × 72 =
  20. 20.1234 × 9 + 5 =
  21. 21.11 × 11 =
  22. 22.37 × 3 =
  23. 23.12345679 × 63 =
  24. 24.1234567 × 8 + 7 =
  25. 25.1234 × 8 + 4 =
  26. 26.11111 × 11111 =
  27. 27.12 × 8 + 2 =
  28. 28.12345679 × 45 =
  29. 29.123456789 × 8 + 9 =
  30. 30.1234 × 8 + 4 =
  31. 31.37 × 6 =
  32. 32.37 × 27 =
  33. 33.37 × 18 =
  34. 34.12345679 × 27 =
  35. 35.123 × 8 + 3 =
  36. 36.12345679 × 18 =
  37. 37.37 × 21 =
  38. 38.111 × 111 =
  39. 39.11111 × 11111 =
  40. 40.11 × 11 =

Answer key

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

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