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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 72 · 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 × 8 + 8 =
  2. 2.12 × 9 + 3 =
  3. 3.111 × 111 =
  4. 4.111111 × 111111 =
  5. 5.123 × 8 + 3 =
  6. 6.1234567 × 9 + 8 =
  7. 7.37 × 21 =
  8. 8.12345679 × 27 =
  9. 9.37 × 3 =
  10. 10.12345 × 9 + 6 =
  11. 11.37 × 6 =
  12. 12.1111 × 1111 =
  13. 13.12345679 × 54 =
  14. 14.37 × 9 =
  15. 15.1234 × 8 + 4 =
  16. 16.11 × 11 =
  17. 17.123456 × 8 + 6 =
  18. 18.37 × 18 =
  19. 19.12345679 × 45 =
  20. 20.12345679 × 18 =
  21. 21.12345679 × 63 =
  22. 22.1234567 × 8 + 7 =
  23. 23.12 × 8 + 2 =
  24. 24.12345679 × 36 =
  25. 25.37 × 12 =
  26. 26.12345679 × 81 =
  27. 27.11111 × 11111 =
  28. 28.12345 × 8 + 5 =
  29. 29.37 × 24 =
  30. 30.1234 × 9 + 5 =
  31. 31.12345679 × 72 =
  32. 32.37 × 15 =
  33. 33.123456 × 9 + 7 =
  34. 34.37 × 27 =
  35. 35.12345678 × 9 + 9 =
  36. 36.12345679 × 36 =
  37. 37.12345679 × 9 =
  38. 38.37 × 6 =
  39. 39.12 × 9 + 3 =
  40. 40.11 × 11 =

Answer key

  1. 98765432
  2. 111
  3. 12321
  4. 12345654321
  5. 987
  6. 11111111
  7. 777
  8. 333333333
  9. 111
  10. 111111
  11. 222
  12. 1234321
  13. 666666666
  14. 333
  15. 9876
  16. 121
  17. 987654
  18. 666
  19. 555555555
  20. 222222222
  21. 777777777
  22. 9876543
  23. 98
  24. 444444444
  25. 444
  26. 999999999
  27. 123454321
  28. 98765
  29. 888
  30. 11111
  31. 888888888
  32. 555
  33. 1111111
  34. 999
  35. 111111111
  36. 444444444
  37. 111111111
  38. 222
  39. 111
  40. 121

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