1003055504
Level:
A
If \( 12\% \) of the number \( a \) equals \( 15 \), then
\( a = 125 \).
\( a = 75 \).
\( a = 80 \).
\( a = 150 \).
A
1003055503
Level:
A
Tomek collected \( 320 \) coins in the piggy bank, including \( 112 \) one-zloty coins. What percentage of the coins in the piggy bank was the number of one-zloty coins?
\( 35\% \)
\( 45\% \)
\( 40\% \)
\( 50\% \)
1103055502
Level:
A
Titanic sailed to New York on April 10, 1912. Among the \( 2200 \) people on board there were Class I, Class II, Class III passengers and the crew. The pie chart shows the Titanic percent composition (to \(1\%\) accuracy). By what percentage is the number of the third-class passengers bigger than the number of the crew?
\(25\%\)
\(8\%\)
\(17\%\)
\(125\%\)
1003055501
Level:
A
The price of a certain commodity was reduced by \( 30\% \) and then by another \( 20\% \). It means that the price of the item was decreased by:
\( 44\% \)
\( 50\% \)
\( 60\% \)
\( 56\% \)
1103055806
Level:
A
The rectangular box \( ABCDEFGH \) shown in the picture has edges of lengths \( |AB|=6\,\mathrm{cm} \), \( |BC|=4\,\mathrm{cm} \) and \( |AE|=8\,\mathrm{cm} \). Find the distance between the lines \(ES_{FG} \) and \( DS_{BC} \), where \( S_{FG} \) is the center of \(FG\) and \( S_{BC} \) is the center of \(BC\).
\( 8 \,\mathrm{cm} \)
\( 10\,\mathrm{cm} \)
\( 4\sqrt5\,\mathrm{cm} \)
\( 8\sqrt2\,\mathrm{cm} \)
1103055805
Level:
A
The rectangular box \( ABCDEFGH \) shown in the picture has edges of lengths \( |AB|=6\,\mathrm{cm} \), \( |BC|=4\,\mathrm{cm} \) and \( |AE|=8\,\mathrm{cm} \). Find the distance between the lines \( AB \) and \( HG \).
\( 4\sqrt5\,\mathrm{cm} \)
\( 8\sqrt2\,\mathrm{cm} \)
\( 10\,\mathrm{cm} \)
\( 8\,\mathrm{cm} \)
1103055804
Level:
A
The rectangular box \( ABCDEFGH \) shown in the picture has edges of lengths \( |AB|=6\,\mathrm{cm} \), \( |BC|=4\,\mathrm{cm} \) and \( |AE|=8\,\mathrm{cm} \). Find the distance between the lines \( AH \) and \( FC \).
\( 6\,\mathrm{cm} \)
\( 2\sqrt{13}\,\mathrm{cm} \)
\( 0 \,\mathrm{cm} \)
\( 4\,\mathrm{cm} \)
1103055803
Level:
A
The rectangular box \( ABCDEFGH \) has edges of lengths \( |AB|=6\,\mathrm{cm} \), \( |BC|=3\,\mathrm{cm} \) and the face diagonal of the length \( |BG|=5\,\mathrm{cm} \). Find the distance between the center of the top face \( EFGH \) and the center of the bottom base \( ABCD \).
\( 4\,\mathrm{cm} \)
\( 6\,\mathrm{cm} \)
\( 7.5\,\mathrm{cm} \)
\( \sqrt{61}\,\mathrm{cm} \)
1103055802
Level:
A
The rectangular box \( ABCDEFGH \) has edges of lengths \( |AB|=6\,\mathrm{cm} \), \( |BC|=4\,\mathrm{cm} \) and \( |AE|=8\,\mathrm{cm} \). The point \( S \) is the center of the left side face \( ADHE \) as seen in the picture. Find the distance between the point \( F \) and the point \( S \).
\( 2\sqrt{14}\,\mathrm{cm} \)
\( 2\sqrt{29}\,\mathrm{cm} \)
\( 2\sqrt{17}\,\mathrm{cm} \)
\( 4\sqrt{2}\,\mathrm{cm} \)
1103055801
Level:
A
The rectangular box \( ABCDEFGH \) has edges of lengths \( |AB|=6\,\mathrm{cm} \), \( |BC|=4\,\mathrm{cm} \) and \( |AE|=8\,\mathrm{cm} \). The point \( S \) is the center of the base \( ABCD \) as seen in the picture. Find the distance between the point \( E \) and the point \( S \).
\( \sqrt{77}\,\mathrm{cm} \)
\( 3\sqrt{10}\,\mathrm{cm} \)
\( 2\sqrt{26}\,\mathrm{cm} \)
\( 10\,\mathrm{cm} \)