# Grade - examples - page 199

- Bridge cards

How many bridge hands are possible containing 4 spades,6 diamonds, 1 club, and 2 hearts? - 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. - SSA and geometry

The distance between the points P and Q was 356 m measured in the terrain. The PQ line can be seen from the viewer at a viewing angle of 107° 22 '. The observer's distance from P is 271 m. Determine the viewing angle of P and observer. - Simple equation 5

Solve equation with fractions: X × 3/8 = 1/2 - Summer tires

Three tire servants have to change the summer tires on 6 cars in 2 hours. Mark's replacement would take 4.5 hours, Jirka would do it in 3 hours and 10 minutes, and Honza in 4 hours. Will they be able to replace all tires at the desired time? - Waste

How many percents are waste from a circular plate with a radius of 1 m from which we cut a square with the highest area? - Equation - inverse

Solve for x: 7: x = 14: 1000 - Integer

Find the integer whose distance on the numerical axis from number 1 is two times smaller as the distance from number 6. - Symbols

If 2*3 = 60 ; 3*4 = 120 and 4*5 = 200, what is 2*5? - Cinema tickets

Cinema sold 180 tickets this Thursday, which is 20%. Monday 14%, Tuesday 6%, Wednesday 9%, Friday 24%, Saturday 12%, and Sunday 15%. How many tickets were sold per week? - Simple equations

Solve system of equations: 5x+3y=5 5x+7y=25 - There

There are 32 trees of three species in the orchard. 25% cherries, three eighty pears, others plums. How many plums are in the orchard? - 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? - Hectares

The tractor plows the first day of 4.5ha, the second day 6.3ha and the third day 5.4ha. It worked whole hours a day, and its hourly performance did not change and was the highest of the possible. How many hectares did it plow in one hour (what is it perfor - Sewing

Beth's mother can sew 235 pairs of short pants in 6 days while Lourdes can sew 187 pairs in 8 days. How many more pairs of short pants can Beth's mother sew? - Circle simple

Circumference of a circle is 6.28. What is the area of the circle? - The volume

The volume of a solid cylinder is 260 cm^{3}the cylinder is melt down into a cuboid, whose base is a square of 5cm, calculate the height of the cuboid and the surface area of the cuboid - A truck

A truck departs from a distribution center. From there, it goes 20km west, 30km north and 10km west and reaches a shop. How can the truck reach back to the distribution center from the shop (what is the shortest path)? - Points collinear

Show that the point A(-1,3), B(3,2), C(11,0) are col-linear. - The price

The price of the land increased by 17%. What was the original price of the land if it now costs 46800 €?

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