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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 472 · 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 × 9 + 6 =
  2. 2.12345679 × 54 =
  3. 3.123 × 8 + 3 =
  4. 4.12345679 × 45 =
  5. 5.37 × 6 =
  6. 6.1234567 × 8 + 7 =
  7. 7.12345678 × 8 + 8 =
  8. 8.37 × 18 =
  9. 9.12345679 × 9 =
  10. 10.123 × 9 + 4 =
  11. 11.12 × 8 + 2 =
  12. 12.37 × 27 =
  13. 13.12345678 × 9 + 9 =
  14. 14.111111 × 111111 =
  15. 15.12345679 × 27 =
  16. 16.11 × 11 =
  17. 17.1111 × 1111 =
  18. 18.37 × 24 =
  19. 19.37 × 21 =
  20. 20.37 × 3 =
  21. 21.123456 × 8 + 6 =
  22. 22.12345679 × 18 =
  23. 23.1234567 × 9 + 8 =
  24. 24.37 × 12 =
  25. 25.37 × 9 =
  26. 26.12345679 × 72 =
  27. 27.123456789 × 8 + 9 =
  28. 28.12 × 9 + 3 =
  29. 29.37 × 15 =
  30. 30.12345679 × 81 =
  31. 31.11111 × 11111 =
  32. 32.1234 × 8 + 4 =
  33. 33.12345679 × 63 =
  34. 34.111 × 111 =
  35. 35.12345 × 8 + 5 =
  36. 36.12345679 × 36 =
  37. 37.123 × 9 + 4 =
  38. 38.1234 × 9 + 5 =
  39. 39.12345679 × 18 =
  40. 40.12345679 × 9 =

Answer key

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

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