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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 149 · 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 × 15 =
  2. 2.12345679 × 27 =
  3. 3.1234 × 8 + 4 =
  4. 4.12 × 9 + 3 =
  5. 5.123456 × 8 + 6 =
  6. 6.11 × 11 =
  7. 7.123 × 8 + 3 =
  8. 8.12345679 × 81 =
  9. 9.37 × 9 =
  10. 10.111 × 111 =
  11. 11.12345 × 8 + 5 =
  12. 12.12345679 × 72 =
  13. 13.12345679 × 45 =
  14. 14.123456 × 9 + 7 =
  15. 15.1234567 × 9 + 8 =
  16. 16.12345679 × 9 =
  17. 17.12345679 × 54 =
  18. 18.37 × 24 =
  19. 19.12345679 × 63 =
  20. 20.123 × 9 + 4 =
  21. 21.1234 × 9 + 5 =
  22. 22.37 × 18 =
  23. 23.37 × 21 =
  24. 24.12345679 × 18 =
  25. 25.37 × 6 =
  26. 26.111111 × 111111 =
  27. 27.11111 × 11111 =
  28. 28.123456789 × 8 + 9 =
  29. 29.1234567 × 8 + 7 =
  30. 30.12345678 × 9 + 9 =
  31. 31.12 × 8 + 2 =
  32. 32.1111 × 1111 =
  33. 33.12345679 × 54 =
  34. 34.12345 × 9 + 6 =
  35. 35.11 × 11 =
  36. 36.37 × 12 =
  37. 37.37 × 27 =
  38. 38.37 × 24 =
  39. 39.123 × 9 + 4 =
  40. 40.1234567 × 9 + 8 =

Answer key

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

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