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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 653 · 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 × 54 =
  2. 2.37 × 21 =
  3. 3.37 × 18 =
  4. 4.123456789 × 8 + 9 =
  5. 5.123 × 9 + 4 =
  6. 6.12345679 × 63 =
  7. 7.12345679 × 18 =
  8. 8.37 × 6 =
  9. 9.37 × 9 =
  10. 10.1234567 × 8 + 7 =
  11. 11.1111 × 1111 =
  12. 12.12345 × 8 + 5 =
  13. 13.12 × 8 + 2 =
  14. 14.12345 × 9 + 6 =
  15. 15.111111 × 111111 =
  16. 16.12345679 × 45 =
  17. 17.11111 × 11111 =
  18. 18.11 × 11 =
  19. 19.12345679 × 27 =
  20. 20.12345679 × 72 =
  21. 21.123 × 8 + 3 =
  22. 22.37 × 3 =
  23. 23.12345679 × 9 =
  24. 24.37 × 27 =
  25. 25.12345678 × 8 + 8 =
  26. 26.12345678 × 9 + 9 =
  27. 27.1234 × 8 + 4 =
  28. 28.37 × 24 =
  29. 29.123456 × 9 + 7 =
  30. 30.111 × 111 =
  31. 31.123456 × 8 + 6 =
  32. 32.37 × 12 =
  33. 33.12 × 8 + 2 =
  34. 34.12345679 × 81 =
  35. 35.12345679 × 36 =
  36. 36.12 × 9 + 3 =
  37. 37.1234 × 9 + 5 =
  38. 38.37 × 21 =
  39. 39.11 × 11 =
  40. 40.37 × 24 =

Answer key

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

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