1003118609
Level:
A
The number \( 350 \) millions is equal to:
\( 3.5\cdot10^8 \)
\( 3.5\cdot10^6 \)
\( 3.5\cdot10^9 \)
\( 3.5\cdot10^7 \)
A
1003118606
Level:
A
The number \(2^{10}+10\cdot2^9 \) is divisible by:
\( 3 \)
\( 5 \)
\( 10 \)
\( 11 \)
1003118604
Level:
A
The sum of \( 3^{100}+3^{100}+3^{100} \) equals:
\( 3^{101} \)
\( 3^{103} \)
\( 3^{300} \)
\( 9^{100} \)
1003118602
Level:
A
Choose the number equal to \( \sqrt{18}-\sqrt8 \).
\( \sqrt2 \)
\( \sqrt{10} \)
\( 10 \)
\( 5\sqrt2 \)
1003118601
Level:
A
Decide which of the following equations is false.
\( \sqrt5-\sqrt2=\sqrt3 \)
\( \sqrt{15}:\sqrt3=\sqrt5 \)
\( \sqrt5 \cdot \sqrt2 =\sqrt{10} \)
\( \sqrt{\sqrt4}=\sqrt2 \)
1103049404
Level:
A
In addition to solving equation \( ax+b=cx+d \) algebraically, you can also solve it graphically. When the lines \( y=ax+b \) and \( y=cx+d \) are graphed, you look for the intersection of these lines. In the pictures below are graphed lines \( y=ax+b \) and \( y=cx+d\). Choose the picture in which the equation \( ax+b=cx+d \) has only one non-negative solution.
1103049403
Level:
A
Choose the picture which represents the graphical solution of the following equation.
\[ 1-\frac{5+2x}3=3 \]
1103049402
Level:
A
Choose the picture which represents the graphical solution of the following equation.
\[ \frac23 x+\frac13=1-\frac32 x \]
1103049401
Level:
A
Choose the equation whose graphical solution is in the picture.
\( \frac12x-3=-\frac52x-5 \)
\( \frac12x-3=-2x-5 \)
\( 2x-3=-\frac52 x-5 \)
\( 2x-3=-2x-5 \)
1003085406
Level:
A
A diagonal of a rectangle has length of \( 30\,\mathrm{cm} \) and the perimeter of the rectangle is \( 84\,\mathrm{cm} \). Find the difference of the length and the width of the rectangle in centimeters.
\( 6 \)
\( 8 \)
\( 9 \)
\( 10 \)