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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 701 · 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. 1.11111 × 11111 =
  2. 2.12345679 × 72 =
  3. 3.12345679 × 63 =
  4. 4.12345679 × 45 =
  5. 5.11 × 11 =
  6. 6.12345678 × 8 + 8 =
  7. 7.1234567 × 8 + 7 =
  8. 8.111 × 111 =
  9. 9.123456789 × 8 + 9 =
  10. 10.12345679 × 27 =
  11. 11.37 × 18 =
  12. 12.123 × 9 + 4 =
  13. 13.12345679 × 18 =
  14. 14.111111 × 111111 =
  15. 15.12345679 × 81 =
  16. 16.1111 × 1111 =
  17. 17.37 × 15 =
  18. 18.12 × 9 + 3 =
  19. 19.12345679 × 9 =
  20. 20.37 × 9 =
  21. 21.12 × 8 + 2 =
  22. 22.12345679 × 36 =
  23. 23.37 × 24 =
  24. 24.37 × 21 =
  25. 25.37 × 27 =
  26. 26.1234 × 9 + 5 =
  27. 27.37 × 6 =
  28. 28.123456 × 9 + 7 =
  29. 29.1234 × 8 + 4 =
  30. 30.12345 × 8 + 5 =
  31. 31.37 × 3 =
  32. 32.123 × 8 + 3 =
  33. 33.123456 × 8 + 6 =
  34. 34.1234567 × 9 + 8 =
  35. 35.12345 × 9 + 6 =
  36. 36.37 × 12 =
  37. 37.1234567 × 9 + 8 =
  38. 38.12345679 × 36 =
  39. 39.37 × 6 =
  40. 40.123 × 8 + 3 =

Answer key

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

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