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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 591 · 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. 1.37 × 27 =
  2. 2.1234567 × 9 + 8 =
  3. 3.123 × 8 + 3 =
  4. 4.12345 × 9 + 6 =
  5. 5.123456 × 9 + 7 =
  6. 6.1234 × 9 + 5 =
  7. 7.11111 × 11111 =
  8. 8.12345679 × 27 =
  9. 9.1234567 × 8 + 7 =
  10. 10.123 × 9 + 4 =
  11. 11.111 × 111 =
  12. 12.37 × 21 =
  13. 13.111111 × 111111 =
  14. 14.37 × 18 =
  15. 15.1111 × 1111 =
  16. 16.37 × 15 =
  17. 17.12 × 8 + 2 =
  18. 18.11 × 11 =
  19. 19.37 × 12 =
  20. 20.12345679 × 81 =
  21. 21.12345679 × 45 =
  22. 22.12345678 × 9 + 9 =
  23. 23.12 × 9 + 3 =
  24. 24.123456789 × 8 + 9 =
  25. 25.1234 × 8 + 4 =
  26. 26.12345679 × 36 =
  27. 27.37 × 24 =
  28. 28.12345679 × 63 =
  29. 29.37 × 6 =
  30. 30.12345679 × 18 =
  31. 31.12345679 × 72 =
  32. 32.12345678 × 8 + 8 =
  33. 33.123456 × 8 + 6 =
  34. 34.12345679 × 9 =
  35. 35.12345 × 8 + 5 =
  36. 36.37 × 3 =
  37. 37.37 × 9 =
  38. 38.37 × 9 =
  39. 39.37 × 21 =
  40. 40.37 × 6 =

Answer key

  1. 999
  2. 11111111
  3. 987
  4. 111111
  5. 1111111
  6. 11111
  7. 123454321
  8. 333333333
  9. 9876543
  10. 1111
  11. 12321
  12. 777
  13. 12345654321
  14. 666
  15. 1234321
  16. 555
  17. 98
  18. 121
  19. 444
  20. 999999999
  21. 555555555
  22. 111111111
  23. 111
  24. 987654321
  25. 9876
  26. 444444444
  27. 888
  28. 777777777
  29. 222
  30. 222222222
  31. 888888888
  32. 98765432
  33. 987654
  34. 111111111
  35. 98765
  36. 111
  37. 333
  38. 333
  39. 777
  40. 222

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