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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 127 · 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. 1.1234567 × 9 + 8 =
  2. 2.12345678 × 8 + 8 =
  3. 3.37 × 6 =
  4. 4.12345679 × 72 =
  5. 5.37 × 12 =
  6. 6.12345 × 9 + 6 =
  7. 7.111111 × 111111 =
  8. 8.37 × 15 =
  9. 9.12345 × 8 + 5 =
  10. 10.12345679 × 81 =
  11. 11.37 × 21 =
  12. 12.12 × 9 + 3 =
  13. 13.12345679 × 27 =
  14. 14.37 × 3 =
  15. 15.37 × 24 =
  16. 16.11 × 11 =
  17. 17.12345679 × 9 =
  18. 18.123 × 9 + 4 =
  19. 19.123456789 × 8 + 9 =
  20. 20.37 × 9 =
  21. 21.12345679 × 36 =
  22. 22.12345679 × 18 =
  23. 23.1111 × 1111 =
  24. 24.123456 × 8 + 6 =
  25. 25.12345678 × 9 + 9 =
  26. 26.123 × 8 + 3 =
  27. 27.11111 × 11111 =
  28. 28.123456 × 9 + 7 =
  29. 29.1234567 × 8 + 7 =
  30. 30.1234 × 8 + 4 =
  31. 31.12345679 × 54 =
  32. 32.12345679 × 45 =
  33. 33.12 × 8 + 2 =
  34. 34.37 × 18 =
  35. 35.111 × 111 =
  36. 36.37 × 12 =
  37. 37.1234 × 9 + 5 =
  38. 38.37 × 27 =
  39. 39.123456789 × 8 + 9 =
  40. 40.12345679 × 72 =

Answer key

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

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