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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 36 · 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. 1.12345679 × 36 =
  2. 2.12 × 8 + 2 =
  3. 3.11 × 11 =
  4. 4.12345679 × 81 =
  5. 5.12345679 × 18 =
  6. 6.37 × 27 =
  7. 7.12345679 × 72 =
  8. 8.12345 × 8 + 5 =
  9. 9.37 × 24 =
  10. 10.12345679 × 45 =
  11. 11.1234567 × 9 + 8 =
  12. 12.12345679 × 9 =
  13. 13.12345679 × 63 =
  14. 14.12345 × 9 + 6 =
  15. 15.1111 × 1111 =
  16. 16.123456 × 9 + 7 =
  17. 17.1234567 × 8 + 7 =
  18. 18.123 × 8 + 3 =
  19. 19.37 × 12 =
  20. 20.123456 × 8 + 6 =
  21. 21.11111 × 11111 =
  22. 22.111 × 111 =
  23. 23.1234 × 9 + 5 =
  24. 24.12345679 × 54 =
  25. 25.37 × 9 =
  26. 26.12345679 × 27 =
  27. 27.111111 × 111111 =
  28. 28.12 × 9 + 3 =
  29. 29.1234 × 8 + 4 =
  30. 30.37 × 3 =
  31. 31.123456789 × 8 + 9 =
  32. 32.12345678 × 9 + 9 =
  33. 33.37 × 21 =
  34. 34.123 × 9 + 4 =
  35. 35.37 × 18 =
  36. 36.12345678 × 8 + 8 =
  37. 37.111111 × 111111 =
  38. 38.37 × 6 =
  39. 39.37 × 3 =
  40. 40.111 × 111 =

Answer key

  1. 444444444
  2. 98
  3. 121
  4. 999999999
  5. 222222222
  6. 999
  7. 888888888
  8. 98765
  9. 888
  10. 555555555
  11. 11111111
  12. 111111111
  13. 777777777
  14. 111111
  15. 1234321
  16. 1111111
  17. 9876543
  18. 987
  19. 444
  20. 987654
  21. 123454321
  22. 12321
  23. 11111
  24. 666666666
  25. 333
  26. 333333333
  27. 12345654321
  28. 111
  29. 9876
  30. 111
  31. 987654321
  32. 111111111
  33. 777
  34. 1111
  35. 666
  36. 98765432
  37. 12345654321
  38. 222
  39. 111
  40. 12321

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