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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 332 · 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. 1.12345678 × 9 + 9 =
  2. 2.12 × 9 + 3 =
  3. 3.37 × 12 =
  4. 4.12345679 × 81 =
  5. 5.12345 × 8 + 5 =
  6. 6.11 × 11 =
  7. 7.12 × 8 + 2 =
  8. 8.37 × 3 =
  9. 9.12345679 × 9 =
  10. 10.123 × 9 + 4 =
  11. 11.12345679 × 54 =
  12. 12.1234567 × 9 + 8 =
  13. 13.12345678 × 8 + 8 =
  14. 14.12345679 × 72 =
  15. 15.111111 × 111111 =
  16. 16.37 × 9 =
  17. 17.37 × 15 =
  18. 18.123 × 8 + 3 =
  19. 19.123456789 × 8 + 9 =
  20. 20.123456 × 8 + 6 =
  21. 21.12345679 × 18 =
  22. 22.12345679 × 27 =
  23. 23.37 × 27 =
  24. 24.12345679 × 63 =
  25. 25.1234567 × 8 + 7 =
  26. 26.1111 × 1111 =
  27. 27.12345679 × 36 =
  28. 28.37 × 6 =
  29. 29.11111 × 11111 =
  30. 30.1234 × 9 + 5 =
  31. 31.12345679 × 63 =
  32. 32.111 × 111 =
  33. 33.12345 × 9 + 6 =
  34. 34.1234 × 8 + 4 =
  35. 35.12345679 × 72 =
  36. 36.12345679 × 45 =
  37. 37.123456 × 9 + 7 =
  38. 38.12345678 × 9 + 9 =
  39. 39.123 × 8 + 3 =
  40. 40.37 × 24 =

Answer key

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

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