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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 202 · 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 × 21 =
  2. 2.37 × 3 =
  3. 3.1234 × 9 + 5 =
  4. 4.11 × 11 =
  5. 5.1234567 × 9 + 8 =
  6. 6.12345679 × 63 =
  7. 7.123456789 × 8 + 9 =
  8. 8.12345679 × 54 =
  9. 9.11111 × 11111 =
  10. 10.12 × 8 + 2 =
  11. 11.123456 × 8 + 6 =
  12. 12.37 × 18 =
  13. 13.12345679 × 9 =
  14. 14.12345679 × 72 =
  15. 15.123 × 8 + 3 =
  16. 16.1234567 × 8 + 7 =
  17. 17.12345679 × 18 =
  18. 18.37 × 12 =
  19. 19.37 × 24 =
  20. 20.37 × 6 =
  21. 21.12345679 × 36 =
  22. 22.111111 × 111111 =
  23. 23.12345678 × 8 + 8 =
  24. 24.1111 × 1111 =
  25. 25.123 × 9 + 4 =
  26. 26.12345679 × 45 =
  27. 27.37 × 9 =
  28. 28.12345679 × 27 =
  29. 29.12345 × 9 + 6 =
  30. 30.37 × 27 =
  31. 31.12345679 × 81 =
  32. 32.111 × 111 =
  33. 33.12345679 × 72 =
  34. 34.12345 × 8 + 5 =
  35. 35.123456 × 9 + 7 =
  36. 36.37 × 15 =
  37. 37.1234 × 8 + 4 =
  38. 38.111 × 111 =
  39. 39.12345678 × 9 + 9 =
  40. 40.12 × 9 + 3 =

Answer key

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

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