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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 295 · 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. 1.123 × 8 + 3 =
  2. 2.11 × 11 =
  3. 3.123 × 9 + 4 =
  4. 4.123456 × 9 + 7 =
  5. 5.37 × 15 =
  6. 6.37 × 24 =
  7. 7.12345678 × 9 + 9 =
  8. 8.12345679 × 72 =
  9. 9.111 × 111 =
  10. 10.12345679 × 9 =
  11. 11.37 × 6 =
  12. 12.12345679 × 54 =
  13. 13.12345 × 8 + 5 =
  14. 14.37 × 3 =
  15. 15.37 × 27 =
  16. 16.37 × 18 =
  17. 17.12345679 × 27 =
  18. 18.123456 × 8 + 6 =
  19. 19.11111 × 11111 =
  20. 20.12345679 × 81 =
  21. 21.37 × 12 =
  22. 22.12345 × 9 + 6 =
  23. 23.37 × 9 =
  24. 24.1234 × 8 + 4 =
  25. 25.37 × 6 =
  26. 26.12 × 8 + 2 =
  27. 27.1234 × 9 + 5 =
  28. 28.12345679 × 36 =
  29. 29.12 × 9 + 3 =
  30. 30.1234567 × 9 + 8 =
  31. 31.111111 × 111111 =
  32. 32.1111 × 1111 =
  33. 33.12345679 × 18 =
  34. 34.12345679 × 63 =
  35. 35.12345678 × 8 + 8 =
  36. 36.123456789 × 8 + 9 =
  37. 37.12345679 × 45 =
  38. 38.123456 × 8 + 6 =
  39. 39.1234567 × 8 + 7 =
  40. 40.12 × 9 + 3 =

Answer key

  1. 987
  2. 121
  3. 1111
  4. 1111111
  5. 555
  6. 888
  7. 111111111
  8. 888888888
  9. 12321
  10. 111111111
  11. 222
  12. 666666666
  13. 98765
  14. 111
  15. 999
  16. 666
  17. 333333333
  18. 987654
  19. 123454321
  20. 999999999
  21. 444
  22. 111111
  23. 333
  24. 9876
  25. 222
  26. 98
  27. 11111
  28. 444444444
  29. 111
  30. 11111111
  31. 12345654321
  32. 1234321
  33. 222222222
  34. 777777777
  35. 98765432
  36. 987654321
  37. 555555555
  38. 987654
  39. 9876543
  40. 111

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