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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 301 · 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. 1.123456 × 8 + 6 =
  2. 2.1111 × 1111 =
  3. 3.1234567 × 9 + 8 =
  4. 4.1234567 × 8 + 7 =
  5. 5.12345679 × 9 =
  6. 6.111 × 111 =
  7. 7.12345679 × 54 =
  8. 8.12345678 × 9 + 9 =
  9. 9.37 × 9 =
  10. 10.12345679 × 36 =
  11. 11.12345679 × 81 =
  12. 12.12345679 × 27 =
  13. 13.37 × 18 =
  14. 14.12345 × 9 + 6 =
  15. 15.11111 × 11111 =
  16. 16.123456789 × 8 + 9 =
  17. 17.12345678 × 8 + 8 =
  18. 18.37 × 6 =
  19. 19.37 × 3 =
  20. 20.37 × 15 =
  21. 21.1234 × 8 + 4 =
  22. 22.11 × 11 =
  23. 23.37 × 24 =
  24. 24.1234 × 9 + 5 =
  25. 25.111111 × 111111 =
  26. 26.12345679 × 45 =
  27. 27.12 × 8 + 2 =
  28. 28.12 × 9 + 3 =
  29. 29.12345 × 8 + 5 =
  30. 30.123456 × 9 + 7 =
  31. 31.12345679 × 18 =
  32. 32.12345679 × 63 =
  33. 33.37 × 21 =
  34. 34.37 × 3 =
  35. 35.123 × 9 + 4 =
  36. 36.12345679 × 81 =
  37. 37.12345679 × 72 =
  38. 38.11 × 11 =
  39. 39.37 × 27 =
  40. 40.1234567 × 9 + 8 =

Answer key

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

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