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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 509 · 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 × 12 =
  2. 2.12345679 × 72 =
  3. 3.123 × 9 + 4 =
  4. 4.111 × 111 =
  5. 5.123456789 × 8 + 9 =
  6. 6.111111 × 111111 =
  7. 7.1234567 × 8 + 7 =
  8. 8.37 × 24 =
  9. 9.12345679 × 63 =
  10. 10.12 × 8 + 2 =
  11. 11.1111 × 1111 =
  12. 12.12345679 × 45 =
  13. 13.12345678 × 9 + 9 =
  14. 14.12345679 × 9 =
  15. 15.1234567 × 9 + 8 =
  16. 16.37 × 15 =
  17. 17.11 × 11 =
  18. 18.123 × 8 + 3 =
  19. 19.37 × 6 =
  20. 20.1234 × 9 + 5 =
  21. 21.123456 × 9 + 7 =
  22. 22.12 × 9 + 3 =
  23. 23.12345 × 8 + 5 =
  24. 24.37 × 9 =
  25. 25.12345679 × 36 =
  26. 26.12345679 × 81 =
  27. 27.12345679 × 27 =
  28. 28.12345679 × 54 =
  29. 29.12345 × 9 + 6 =
  30. 30.37 × 27 =
  31. 31.11111 × 11111 =
  32. 32.12345679 × 18 =
  33. 33.12345678 × 8 + 8 =
  34. 34.37 × 18 =
  35. 35.123456 × 8 + 6 =
  36. 36.37 × 3 =
  37. 37.1234 × 8 + 4 =
  38. 38.37 × 27 =
  39. 39.37 × 12 =
  40. 40.123456789 × 8 + 9 =

Answer key

  1. 444
  2. 888888888
  3. 1111
  4. 12321
  5. 987654321
  6. 12345654321
  7. 9876543
  8. 888
  9. 777777777
  10. 98
  11. 1234321
  12. 555555555
  13. 111111111
  14. 111111111
  15. 11111111
  16. 555
  17. 121
  18. 987
  19. 222
  20. 11111
  21. 1111111
  22. 111
  23. 98765
  24. 333
  25. 444444444
  26. 999999999
  27. 333333333
  28. 666666666
  29. 111111
  30. 999
  31. 123454321
  32. 222222222
  33. 98765432
  34. 666
  35. 987654
  36. 111
  37. 9876
  38. 999
  39. 444
  40. 987654321

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