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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 456 · 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. 2.12345679 × 63 =
  3. 3.11 × 11 =
  4. 4.1111 × 1111 =
  5. 5.12 × 9 + 3 =
  6. 6.12345679 × 9 =
  7. 7.111 × 111 =
  8. 8.1234 × 9 + 5 =
  9. 9.37 × 15 =
  10. 10.1234 × 8 + 4 =
  11. 11.37 × 18 =
  12. 12.12345679 × 27 =
  13. 13.37 × 3 =
  14. 14.12345 × 8 + 5 =
  15. 15.12345679 × 81 =
  16. 16.12345678 × 8 + 8 =
  17. 17.37 × 9 =
  18. 18.12345679 × 36 =
  19. 19.111111 × 111111 =
  20. 20.123456 × 9 + 7 =
  21. 21.12345679 × 18 =
  22. 22.37 × 12 =
  23. 23.37 × 24 =
  24. 24.1234567 × 9 + 8 =
  25. 25.123 × 8 + 3 =
  26. 26.12345 × 9 + 6 =
  27. 27.1234567 × 8 + 7 =
  28. 28.37 × 6 =
  29. 29.37 × 27 =
  30. 30.12345679 × 54 =
  31. 31.123456789 × 8 + 9 =
  32. 32.123456 × 8 + 6 =
  33. 33.37 × 3 =
  34. 34.37 × 9 =
  35. 35.12345678 × 8 + 8 =
  36. 36.123 × 9 + 4 =
  37. 37.11111 × 11111 =
  38. 38.12345679 × 45 =
  39. 39.12345678 × 9 + 9 =
  40. 40.12345679 × 72 =

Answer key

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

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