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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 480 · 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. 1.12 × 9 + 3 =
  2. 2.12345679 × 18 =
  3. 3.37 × 21 =
  4. 4.12345 × 9 + 6 =
  5. 5.37 × 9 =
  6. 6.1234 × 9 + 5 =
  7. 7.111 × 111 =
  8. 8.111111 × 111111 =
  9. 9.12345679 × 45 =
  10. 10.12345679 × 81 =
  11. 11.12 × 8 + 2 =
  12. 12.12345679 × 54 =
  13. 13.12345679 × 36 =
  14. 14.12345678 × 8 + 8 =
  15. 15.1234567 × 9 + 8 =
  16. 16.37 × 27 =
  17. 17.1111 × 1111 =
  18. 18.123 × 8 + 3 =
  19. 19.12345679 × 72 =
  20. 20.123 × 9 + 4 =
  21. 21.37 × 6 =
  22. 22.123456789 × 8 + 9 =
  23. 23.11 × 11 =
  24. 24.37 × 3 =
  25. 25.1234567 × 8 + 7 =
  26. 26.12345679 × 27 =
  27. 27.37 × 18 =
  28. 28.123456 × 9 + 7 =
  29. 29.12345679 × 63 =
  30. 30.11111 × 11111 =
  31. 31.37 × 12 =
  32. 32.37 × 15 =
  33. 33.123456 × 8 + 6 =
  34. 34.123456 × 9 + 7 =
  35. 35.12345679 × 9 =
  36. 36.12345 × 8 + 5 =
  37. 37.12345678 × 9 + 9 =
  38. 38.1234 × 8 + 4 =
  39. 39.1234 × 9 + 5 =
  40. 40.1234 × 8 + 4 =

Answer key

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

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