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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 234 · 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 × 8 + 7 =
  2. 2.12345679 × 9 =
  3. 3.37 × 15 =
  4. 4.123 × 8 + 3 =
  5. 5.1234 × 8 + 4 =
  6. 6.11 × 11 =
  7. 7.1111 × 1111 =
  8. 8.111 × 111 =
  9. 9.111111 × 111111 =
  10. 10.12345679 × 45 =
  11. 11.12345679 × 18 =
  12. 12.123456 × 8 + 6 =
  13. 13.37 × 9 =
  14. 14.123456789 × 8 + 9 =
  15. 15.12 × 9 + 3 =
  16. 16.12345679 × 54 =
  17. 17.12345679 × 63 =
  18. 18.123 × 9 + 4 =
  19. 19.12345679 × 81 =
  20. 20.37 × 24 =
  21. 21.37 × 18 =
  22. 22.37 × 12 =
  23. 23.12 × 8 + 2 =
  24. 24.12345 × 9 + 6 =
  25. 25.11111 × 11111 =
  26. 26.12345 × 8 + 5 =
  27. 27.12345679 × 27 =
  28. 28.37 × 3 =
  29. 29.123456 × 9 + 7 =
  30. 30.1234 × 9 + 5 =
  31. 31.12345679 × 36 =
  32. 32.37 × 6 =
  33. 33.12345679 × 72 =
  34. 34.12345678 × 9 + 9 =
  35. 35.1234567 × 9 + 8 =
  36. 36.37 × 21 =
  37. 37.1111 × 1111 =
  38. 38.12345679 × 72 =
  39. 39.12345678 × 8 + 8 =
  40. 40.37 × 24 =

Answer key

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

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