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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 744 · 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. 1.12345 × 8 + 5 =
  2. 2.1234567 × 8 + 7 =
  3. 3.123456 × 8 + 6 =
  4. 4.37 × 27 =
  5. 5.12345679 × 81 =
  6. 6.37 × 24 =
  7. 7.12345679 × 36 =
  8. 8.111111 × 111111 =
  9. 9.37 × 12 =
  10. 10.111 × 111 =
  11. 11.12345679 × 9 =
  12. 12.1234 × 9 + 5 =
  13. 13.1234 × 8 + 4 =
  14. 14.37 × 18 =
  15. 15.12345678 × 8 + 8 =
  16. 16.11 × 11 =
  17. 17.37 × 3 =
  18. 18.1111 × 1111 =
  19. 19.12345679 × 45 =
  20. 20.12345679 × 18 =
  21. 21.12 × 9 + 3 =
  22. 22.12345 × 9 + 6 =
  23. 23.37 × 15 =
  24. 24.12345679 × 63 =
  25. 25.11111 × 11111 =
  26. 26.123456 × 9 + 7 =
  27. 27.12345679 × 27 =
  28. 28.123456789 × 8 + 9 =
  29. 29.1234567 × 9 + 8 =
  30. 30.12345679 × 63 =
  31. 31.12345679 × 72 =
  32. 32.37 × 6 =
  33. 33.12 × 8 + 2 =
  34. 34.37 × 21 =
  35. 35.1234567 × 9 + 8 =
  36. 36.12345678 × 9 + 9 =
  37. 37.12345679 × 54 =
  38. 38.1234 × 9 + 5 =
  39. 39.37 × 9 =
  40. 40.123 × 9 + 4 =

Answer key

  1. 98765
  2. 9876543
  3. 987654
  4. 999
  5. 999999999
  6. 888
  7. 444444444
  8. 12345654321
  9. 444
  10. 12321
  11. 111111111
  12. 11111
  13. 9876
  14. 666
  15. 98765432
  16. 121
  17. 111
  18. 1234321
  19. 555555555
  20. 222222222
  21. 111
  22. 111111
  23. 555
  24. 777777777
  25. 123454321
  26. 1111111
  27. 333333333
  28. 987654321
  29. 11111111
  30. 777777777
  31. 888888888
  32. 222
  33. 98
  34. 777
  35. 11111111
  36. 111111111
  37. 666666666
  38. 11111
  39. 333
  40. 1111

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