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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 31 · 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 × 18 =
  2. 2.12345679 × 54 =
  3. 3.12345678 × 8 + 8 =
  4. 4.12345 × 9 + 6 =
  5. 5.11111 × 11111 =
  6. 6.12345 × 8 + 5 =
  7. 7.12345679 × 18 =
  8. 8.12345679 × 9 =
  9. 9.12345679 × 63 =
  10. 10.11 × 11 =
  11. 11.12345679 × 27 =
  12. 12.1234567 × 9 + 8 =
  13. 13.111 × 111 =
  14. 14.123 × 8 + 3 =
  15. 15.37 × 12 =
  16. 16.37 × 3 =
  17. 17.12345679 × 36 =
  18. 18.123456 × 9 + 7 =
  19. 19.111111 × 111111 =
  20. 20.37 × 21 =
  21. 21.37 × 15 =
  22. 22.1111 × 1111 =
  23. 23.123456 × 8 + 6 =
  24. 24.12345679 × 81 =
  25. 25.12345679 × 45 =
  26. 26.12345679 × 72 =
  27. 27.12 × 9 + 3 =
  28. 28.37 × 24 =
  29. 29.1234567 × 8 + 7 =
  30. 30.37 × 6 =
  31. 31.123 × 9 + 4 =
  32. 32.123456789 × 8 + 9 =
  33. 33.37 × 27 =
  34. 34.1234 × 8 + 4 =
  35. 35.12 × 8 + 2 =
  36. 36.12345678 × 9 + 9 =
  37. 37.12345679 × 27 =
  38. 38.1234 × 9 + 5 =
  39. 39.1111 × 1111 =
  40. 40.37 × 3 =

Answer key

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

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