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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 103 · 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. 1.123 × 9 + 4 =
  2. 2.1234567 × 9 + 8 =
  3. 3.123456 × 8 + 6 =
  4. 4.37 × 24 =
  5. 5.123456789 × 8 + 9 =
  6. 6.12345679 × 9 =
  7. 7.11 × 11 =
  8. 8.123456 × 9 + 7 =
  9. 9.111 × 111 =
  10. 10.12345679 × 81 =
  11. 11.12345 × 8 + 5 =
  12. 12.12345679 × 63 =
  13. 13.12345 × 9 + 6 =
  14. 14.12345679 × 72 =
  15. 15.1234 × 9 + 5 =
  16. 16.12 × 9 + 3 =
  17. 17.12345679 × 18 =
  18. 18.37 × 12 =
  19. 19.111111 × 111111 =
  20. 20.37 × 18 =
  21. 21.1234567 × 8 + 7 =
  22. 22.37 × 9 =
  23. 23.12345678 × 9 + 9 =
  24. 24.12345679 × 54 =
  25. 25.123 × 8 + 3 =
  26. 26.37 × 21 =
  27. 27.37 × 15 =
  28. 28.11111 × 11111 =
  29. 29.12345679 × 45 =
  30. 30.12345679 × 36 =
  31. 31.37 × 6 =
  32. 32.12 × 9 + 3 =
  33. 33.12345679 × 27 =
  34. 34.12345679 × 45 =
  35. 35.1234 × 8 + 4 =
  36. 36.1111 × 1111 =
  37. 37.37 × 27 =
  38. 38.12345679 × 72 =
  39. 39.111111 × 111111 =
  40. 40.12345678 × 8 + 8 =

Answer key

  1. 1111
  2. 11111111
  3. 987654
  4. 888
  5. 987654321
  6. 111111111
  7. 121
  8. 1111111
  9. 12321
  10. 999999999
  11. 98765
  12. 777777777
  13. 111111
  14. 888888888
  15. 11111
  16. 111
  17. 222222222
  18. 444
  19. 12345654321
  20. 666
  21. 9876543
  22. 333
  23. 111111111
  24. 666666666
  25. 987
  26. 777
  27. 555
  28. 123454321
  29. 555555555
  30. 444444444
  31. 222
  32. 111
  33. 333333333
  34. 555555555
  35. 9876
  36. 1234321
  37. 999
  38. 888888888
  39. 12345654321
  40. 98765432

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