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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 502 · 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 × 18 =
  2. 2.123 × 8 + 3 =
  3. 3.12345679 × 27 =
  4. 4.12345 × 9 + 6 =
  5. 5.37 × 21 =
  6. 6.37 × 3 =
  7. 7.11111 × 11111 =
  8. 8.12345679 × 81 =
  9. 9.12345679 × 9 =
  10. 10.12345678 × 8 + 8 =
  11. 11.123 × 9 + 4 =
  12. 12.123456 × 9 + 7 =
  13. 13.123456 × 8 + 6 =
  14. 14.1111 × 1111 =
  15. 15.37 × 27 =
  16. 16.37 × 18 =
  17. 17.123456789 × 8 + 9 =
  18. 18.12 × 8 + 2 =
  19. 19.37 × 24 =
  20. 20.111 × 111 =
  21. 21.12345678 × 9 + 9 =
  22. 22.37 × 6 =
  23. 23.111111 × 111111 =
  24. 24.12345679 × 36 =
  25. 25.11 × 11 =
  26. 26.1234567 × 9 + 8 =
  27. 27.37 × 9 =
  28. 28.12345679 × 63 =
  29. 29.1234 × 8 + 4 =
  30. 30.37 × 15 =
  31. 31.1234567 × 8 + 7 =
  32. 32.37 × 12 =
  33. 33.12345 × 8 + 5 =
  34. 34.12345679 × 54 =
  35. 35.12 × 9 + 3 =
  36. 36.37 × 6 =
  37. 37.12345679 × 45 =
  38. 38.12345678 × 9 + 9 =
  39. 39.1234 × 9 + 5 =
  40. 40.12345679 × 72 =

Answer key

  1. 222222222
  2. 987
  3. 333333333
  4. 111111
  5. 777
  6. 111
  7. 123454321
  8. 999999999
  9. 111111111
  10. 98765432
  11. 1111
  12. 1111111
  13. 987654
  14. 1234321
  15. 999
  16. 666
  17. 987654321
  18. 98
  19. 888
  20. 12321
  21. 111111111
  22. 222
  23. 12345654321
  24. 444444444
  25. 121
  26. 11111111
  27. 333
  28. 777777777
  29. 9876
  30. 555
  31. 9876543
  32. 444
  33. 98765
  34. 666666666
  35. 111
  36. 222
  37. 555555555
  38. 111111111
  39. 11111
  40. 888888888

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