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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 137 · 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 × 21 =
  2. 2.12345679 × 81 =
  3. 3.12345679 × 72 =
  4. 4.12345 × 8 + 5 =
  5. 5.37 × 12 =
  6. 6.12345678 × 8 + 8 =
  7. 7.12 × 9 + 3 =
  8. 8.37 × 15 =
  9. 9.12345679 × 27 =
  10. 10.1234567 × 8 + 7 =
  11. 11.12 × 8 + 2 =
  12. 12.123456 × 8 + 6 =
  13. 13.11111 × 11111 =
  14. 14.12345679 × 45 =
  15. 15.12345 × 9 + 6 =
  16. 16.111 × 111 =
  17. 17.12345679 × 9 =
  18. 18.11 × 11 =
  19. 19.37 × 6 =
  20. 20.37 × 18 =
  21. 21.123 × 9 + 4 =
  22. 22.12345679 × 18 =
  23. 23.37 × 9 =
  24. 24.111111 × 111111 =
  25. 25.37 × 24 =
  26. 26.1234567 × 9 + 8 =
  27. 27.12345679 × 54 =
  28. 28.1234 × 9 + 5 =
  29. 29.1111 × 1111 =
  30. 30.12345678 × 9 + 9 =
  31. 31.11 × 11 =
  32. 32.37 × 27 =
  33. 33.1234 × 8 + 4 =
  34. 34.123456789 × 8 + 9 =
  35. 35.37 × 9 =
  36. 36.12345679 × 36 =
  37. 37.123 × 8 + 3 =
  38. 38.12345679 × 63 =
  39. 39.12345 × 9 + 6 =
  40. 40.37 × 3 =

Answer key

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

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