A

9000139502

Level: 
A
The average mass of \(30\) eggs on a plate is \(60\, \mathrm{g}\). From this amount we remove five eggs. The total mass of these five eggs is \(280\, \mathrm{g}\). Find the change in the average mass of the remaining eggs on the plate.
The average mass of eggs increases by \(0.8\, \mathrm{g}\).
The average mass of eggs decreases by \(4\, \mathrm{g}\).
The average mass of eggs increases by \(4\, \mathrm{g}\).
The average mass of eggs increases by \(12\, \mathrm{g}\).

9000139503

Level: 
A
The average mass of the pear in a basket is \(150\, \mathrm{g}\). Find the change in the average mass of the pears in the basket if one pear has been removed from the basket.
There is not enough information to solve this problem.
The average mass of the pears increases by \(7.5\, \mathrm{g}\).
The average mass of the pears decreases by \(7.5\, \mathrm{g}\).
The average mass of the pears does not change.

9000121708

Level: 
A
Consider a square \(ABCD\) and a point \(E\) on the side \(BC\) such that the angle \( BAE\) has measure \(20^{\circ }\). The point \(F\) is on the side \(CD\) and the length of \(AF\) equals to the length of \(AE\) (i.e. the triangle \(AEF\) is isosceles with \(AF\) and \(AE\) of equal length). Find the measure of the angle \( AEF\).
\(65^{\circ }\)
\(45^{\circ }\)
\(50^{\circ }\)
\(70^{\circ }\)

9000121709

Level: 
A
Consider a rectangle \(ABCD\) of a special ratio between the length and the width: if \(E\), \(F\), \(G\) and \(H\) denote the midpoints of the sides \(AB\), \(BC\), \(CD\) and \(DA\), respectively, then the measure of the angle \( AEH\) is \(25^{\circ }\). Find the measure of the angle \( EFG\).
\(50^{\circ }\)
\(65^{\circ }\)
\(75^{\circ }\)
\(130^{\circ }\)

9000121807

Level: 
A
In the figure the cut of a regular polygon with unspecified number of vertices is shown. The red angle is the central angle of the polygon, the blue angle is the interior angle of the polygon. Suppose we consider a regular polygon with the central angle of \(40^{\circ}\), then find the measure of the interior angle of this polygon.
\(140^{\circ }\)
\(80^{\circ }\)
\(200^{\circ }\)
\(120^{\circ }\)

9000120307

Level: 
A
The lengths of a side, base diagonal and solid diagonal through the vertex \(A\) in a rectangular box \(ABCDEFGH\) are \(|AB| = 6\, \mathrm{cm}\), \(|AC| = 10\, \mathrm{cm}\), \(|AG| = 15\, \mathrm{cm}\). Find the volume of the box.
\(240\sqrt{5}\, \mathrm{cm}^{3}\)
\(900\, \mathrm{cm}^{3}\)
\(300\sqrt{5}\, \mathrm{cm}^{3}\)
\(600\sqrt{2}\, \mathrm{cm}^{3}\)
\(240\sqrt{2}\, \mathrm{cm}^{3}\)