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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 102 · 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. 1.37 × 18 =
  2. 2.123 × 8 + 3 =
  3. 3.12 × 8 + 2 =
  4. 4.12345679 × 18 =
  5. 5.111111 × 111111 =
  6. 6.123456789 × 8 + 9 =
  7. 7.1111 × 1111 =
  8. 8.11111 × 11111 =
  9. 9.1234567 × 9 + 8 =
  10. 10.123456 × 9 + 7 =
  11. 11.123 × 9 + 4 =
  12. 12.12345679 × 72 =
  13. 13.1234567 × 8 + 7 =
  14. 14.12345679 × 45 =
  15. 15.37 × 24 =
  16. 16.111 × 111 =
  17. 17.37 × 12 =
  18. 18.123456 × 8 + 6 =
  19. 19.37 × 3 =
  20. 20.12345679 × 81 =
  21. 21.12345679 × 27 =
  22. 22.1234 × 9 + 5 =
  23. 23.1234 × 8 + 4 =
  24. 24.12345679 × 36 =
  25. 25.37 × 21 =
  26. 26.11 × 11 =
  27. 27.37 × 15 =
  28. 28.37 × 27 =
  29. 29.12345679 × 54 =
  30. 30.37 × 18 =
  31. 31.12345 × 9 + 6 =
  32. 32.1234567 × 9 + 8 =
  33. 33.12345678 × 8 + 8 =
  34. 34.12 × 9 + 3 =
  35. 35.12345679 × 63 =
  36. 36.1234 × 8 + 4 =
  37. 37.37 × 6 =
  38. 38.37 × 24 =
  39. 39.12345679 × 72 =
  40. 40.12345678 × 9 + 9 =

Answer key

  1. 666
  2. 987
  3. 98
  4. 222222222
  5. 12345654321
  6. 987654321
  7. 1234321
  8. 123454321
  9. 11111111
  10. 1111111
  11. 1111
  12. 888888888
  13. 9876543
  14. 555555555
  15. 888
  16. 12321
  17. 444
  18. 987654
  19. 111
  20. 999999999
  21. 333333333
  22. 11111
  23. 9876
  24. 444444444
  25. 777
  26. 121
  27. 555
  28. 999
  29. 666666666
  30. 666
  31. 111111
  32. 11111111
  33. 98765432
  34. 111
  35. 777777777
  36. 9876
  37. 222
  38. 888
  39. 888888888
  40. 111111111

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