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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 6 · 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. 1.12345679 × 45 =
  2. 2.37 × 15 =
  3. 3.1234567 × 8 + 7 =
  4. 4.12 × 8 + 2 =
  5. 5.123456 × 9 + 7 =
  6. 6.37 × 12 =
  7. 7.12345679 × 27 =
  8. 8.37 × 21 =
  9. 9.11111 × 11111 =
  10. 10.12345679 × 18 =
  11. 11.1111 × 1111 =
  12. 12.12345679 × 63 =
  13. 13.111 × 111 =
  14. 14.12345679 × 9 =
  15. 15.37 × 3 =
  16. 16.12345679 × 54 =
  17. 17.123 × 9 + 4 =
  18. 18.37 × 18 =
  19. 19.123 × 8 + 3 =
  20. 20.12 × 9 + 3 =
  21. 21.37 × 27 =
  22. 22.37 × 24 =
  23. 23.12345679 × 72 =
  24. 24.12345679 × 36 =
  25. 25.123456 × 8 + 6 =
  26. 26.111111 × 111111 =
  27. 27.11 × 11 =
  28. 28.12345678 × 8 + 8 =
  29. 29.1234 × 9 + 5 =
  30. 30.12345 × 8 + 5 =
  31. 31.123456789 × 8 + 9 =
  32. 32.12345 × 9 + 6 =
  33. 33.12345679 × 18 =
  34. 34.1234567 × 9 + 8 =
  35. 35.37 × 9 =
  36. 36.111111 × 111111 =
  37. 37.12345679 × 81 =
  38. 38.1234 × 8 + 4 =
  39. 39.12 × 9 + 3 =
  40. 40.123 × 9 + 4 =

Answer key

  1. 555555555
  2. 555
  3. 9876543
  4. 98
  5. 1111111
  6. 444
  7. 333333333
  8. 777
  9. 123454321
  10. 222222222
  11. 1234321
  12. 777777777
  13. 12321
  14. 111111111
  15. 111
  16. 666666666
  17. 1111
  18. 666
  19. 987
  20. 111
  21. 999
  22. 888
  23. 888888888
  24. 444444444
  25. 987654
  26. 12345654321
  27. 121
  28. 98765432
  29. 11111
  30. 98765
  31. 987654321
  32. 111111
  33. 222222222
  34. 11111111
  35. 333
  36. 12345654321
  37. 999999999
  38. 9876
  39. 111
  40. 1111

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