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9000085305

Level:

The price for the first issue of the book was $\$100$, the price for the second issue $\$125$. Find the rate of sale of the second issue if the target price for the second issue is the same as for the first issue.

$20\, \%$

$22.5\, \%$

$17.5\, \%$

$25\, \%$

9000085306

Level:

The ski has been sold for a reduced price in a sale after the season. The discount $18\, \%$ of the original price resumed in a price which was cheaper by $\$36$. Find the original price of the ski.

$\$200$

$\$250$

$\$450$

$\$500$

9000083609

Level:

Assuming $x\neq 0$, $x\neq \pm y$, $y\neq 0$, simplify the expression. \[ \frac{\frac{x^{2}+y^{2}} {x} - 2y} {\left ( \frac{1} {y^{2}} - \frac{1} {x^{2}} \right )\cdot \frac{xy} {x+y}} \]

$y(x - y)$

$\frac{x-y} {y} $

$x(x - y)$

$\frac{x-y} {x} $

9000079208

Level:

Assuming $x\neq 0$ and $y\neq 0$, simplify the following expression. \[ \left (\frac{x^{-2}y^{2}} {x^{0}y^{-8}}\right )^{-2} : \frac{x^{2}} {x^{-4}y^{7}} \]

$\frac{1} {x^{2}y^{13}} $

$\frac{y^{13}} {x^{2}} $

$\frac{y^{15}} {x^{6}} $

$\frac{x^{4}} {y^{27}} $

9000078510

Level:

Assuming $x\in (6,11)$, simplify the following expression. \[ 3|x - 11|- 2|6 - x| \]

$- 5x + 45$

$5x - 45$

$x - 45$

$x - 21$

9000078901

Level:

If we increase an unknown number $x$ by $5\, \%$, we get $378$. Find $x$.

$360$

$359.1$

$396.9$

$350$

9000078910

Level:

There is $19$ girls and $12$ boys in the class. Find the difference between the percentage of the girls and boys in this class.

$22.6\, \%$

$15.1\, \%$

$18.5\, \%$

$23.5\, \%$

9000080901

Level:

Find the intersection $A \cap B$ for $A = \{ - 5,0,1.5,2,6\}$ and $B = \{x\in \mathbb{Z},x\geq 0\}$.

$\{0,2,6\}$

$\{0,1.5,2,6\}$

$\{1.5,2,6\}$

$\mathbb{Z}$

9000076006

Level:

In the following list identify a set such that each element of this set is a divisor of $578$.

$17,\ 34,\ 289$

$1,\ 2,\ 4$

$13,\ 15,\ 17$

$1,\ 13,\ 289$

$2,\ 35,\ 578$

9000080902

Level:

Given the sets $A = \{x\in \mathbb{Z}:x\geq - 2\}$ and $B = \{x\in \mathbb{N}: x\leq 5\}$ find the intersection $A \cap B$.

$\{1,2,3,4,5\}$

$\{0,1,2,3,4,5\}$

$\{0,1,2,3,4\}$

$\{ - 2,-1,0,1,2,3,4,5\}$

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9000085305

9000085306

9000083609

9000079208

9000078510

9000078901

9000078910

9000080901

9000076006

9000080902

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