# Grade - examples - page 4

- Three segments

The circle is divided into 3 segments. Segment A occupies 1/4 of the area, segment B occupies 1/3 of the area. What part is occupied by section C? In what proportion are areas A: B: C? - Hens and pigs

Hens and pigs have 46 feet in total. At least how much can heads have? - Percentages

52 is what percent of 93? - Two cyclists 2

At the same time, two cyclists left the towns A and B at constant speeds. The first one going from town A to town B, and the second one from town B to town A. At one point of the trip they met. After they met, the first cyclist arrived at town B in 36min,. - Sum of four numbers

The sum of four consecutive natural numbers is 114. Find them. - The rod

The rod has a length of 90cm. Half is painted blue, the third is red and the rest is yellow. How long is the yellow part of the rod? - Bottle

A company wants to produce a bottle whose capacity is 1.25 liters. Find the dimensions of a cylinder that will be required to produce this 1.25litres if the hight of the cylinder must be 5 times the radius. - Sales off

The price has decreased by 20%. How many percents do I have to raise the new price to be the same as before the cut? - Area to perimeter

Calculate circle circumference if its area is 254.34cm2 - Regular triangular pyramid

Calculate the volume and surface area of the regular triangular pyramid and the height of the pyramid is 12 centimeters, the bottom edge has 4 centimeters and the height of the side wall is 12 centimeters - Quadrangular pyramid

The regular quadrangular pyramid has a base length of 6 cm and a side edge length of 9 centimeters. Calculate its volume and surface area. - Acid evaporation

How many kilograms of water do we have to evaporate from 100 kg of 32% acid to make it 80% concentration? - Hay bags

4 cows eat 16 hay bags in 5 days. How many bags will eat 5 cows in 7 days? - Legs

Cancer has 5 pairs of legs. The insect has 6 legs. 60 animals have a total of 500 legs. How much more are cancers than insects? - Cube cut

In the ABCDA'B'C'D'cube, it is guided by the edge of the CC' a plane witch dividing the cube into two perpendicular four-sided and triangular prisms, whose volumes are 3:2. Determine in which ratio the edge AB is divided by this plane. - Addition of mixed numerals

Add two mixed fractions: 2 4/6 + 1 3/6 - Father and daughter

When I was 11 my father was 35 year old. Now, father has three times older then me. How old is she? - Eggs

3400 eggs sliced hens for February and March. We have to calculate how many hens can make 3400 eggs when one hen give 2 eggs a day for 59 days. - Granules

Katy had two dogs. The first one ate a pack of granules a week and the other two times longer. Katka bought them two bags of granules. How long does it last for both dogs? - Journey 5

A man has to do a journey of 84km in 3 hours. He travels the first 30km at 20km/hr. At what rate must he travel the remaining distance to complete his journey on time?

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