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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 617 · 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. 2.37 × 21 =
  3. 3.111111 × 111111 =
  4. 4.123456 × 8 + 6 =
  5. 5.1234 × 9 + 5 =
  6. 6.37 × 18 =
  7. 7.37 × 27 =
  8. 8.12345679 × 36 =
  9. 9.12345679 × 18 =
  10. 10.37 × 24 =
  11. 11.12345679 × 45 =
  12. 12.123 × 9 + 4 =
  13. 13.1111 × 1111 =
  14. 14.37 × 12 =
  15. 15.123 × 8 + 3 =
  16. 16.12345679 × 81 =
  17. 17.123456789 × 8 + 9 =
  18. 18.12 × 9 + 3 =
  19. 19.12345 × 9 + 6 =
  20. 20.37 × 3 =
  21. 21.12345678 × 8 + 8 =
  22. 22.1234567 × 9 + 8 =
  23. 23.12345679 × 63 =
  24. 24.123456 × 9 + 7 =
  25. 25.37 × 9 =
  26. 26.37 × 15 =
  27. 27.12345679 × 72 =
  28. 28.12345679 × 27 =
  29. 29.1234 × 8 + 4 =
  30. 30.12 × 8 + 2 =
  31. 31.12345679 × 9 =
  32. 32.12345679 × 54 =
  33. 33.11 × 11 =
  34. 34.37 × 27 =
  35. 35.111 × 111 =
  36. 36.12345678 × 9 + 9 =
  37. 37.1234567 × 8 + 7 =
  38. 38.11111 × 11111 =
  39. 39.37 × 24 =
  40. 40.12 × 9 + 3 =

Answer key

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

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