# Examples for 9th grade - page 79

- Sphere radius

The surface of the sphere is 60 cm square. Calculate its radius; result round to tenth of cm. - Cone

Calculate the volume of the rotating cone with a base radius 26.3 cm and a side 38.4 cm long. - Sales off

shoes cost x euros. First they are discounted by 50%, and then 25% of the new amount. Determine what percentage of the total cost is cheaper. - Acres

Two hours 24 students harvested chestnuts on 36 acres. How many square meters harvested one student per hour? - Enterprise company

30% of all employees in the enterprise are women. Men are 360 more. How many employees are in the company? - Fifth member

Determine the fifth member of the arithmetic progression, if the sum of the second and fifth members equal to 73, and difference d = 7. - Apples

Apples I picked 600 kg this year. Autumn's apples was 4 times more than the summer. How many kg's I picked the summer and how much winter apples? - Summer camp

Out of the 180 students at a summer camp, 72 signed up for canoeing. There were 23 students who signed up for trekking, and 13 of those students also signed up for canoeing. Use a two-way table to organize the information and answer the following questio - Rectangle 35

Find the area of a rectangle when the diagonal is equal to 30 cms and the width is double the length. - The rectangle

Determine the area of the rectangle where the length and width are in the ratio 5:2 and its length is 7.5 cm longer than its width. Determine also its length and its width. - RT perimeter

The leg of the rectangular triangle is 7 cm shorter than the second leg and 8 cm shorter than the hypotenuse. Calculate the triangle circumference. - Dividends

The three friends divided the win by the invested money. Karlos got three eighths John 320 permille and the rest got Martin. Who got the most and which the least? - Prize

How many ways can be rewarded 9 participants with the first, second and third prize in a sports competition? - One percent

One percent of all the lights in the city are LED, the remaining 99% are conventional. Other types are not there. John counted them honestly but he had counted only conventional. After a good dinner he registered numbers and he have notice that from all t - Ravens

On two trees sitting 17 ravens. If 3 ravens flew from first to second tree and 5 ravens took off from second tree then the first tree has 2 times more ravens than second tree. How many ravens was originally on every tree? - Quadrangular pyramid

Calculate the surface area and volume of a regular quadrangular pyramid: sides of bases (bottom, top): a1 = 18 cm, a2 = 6cm angle α = 60 ° (Angle α is the angle between the side wall and the plane of the base.) S =? , V =? - Pond

A pond with two open floodgates will emptied in 20 days. A larger floodgate will emptied whole pond in 30 days. For how long would he be emptied with a smaller floodgate. - Boys and money

270 USD boys divided so that Peter got three times more than Paul and Ivan has 120 USD more than than Paul. How much each received? - Unknown number x

5% from an unknown number equals the number 2^{6.}What is the unknown number? - Trapezoid - central median

The central median divides the trapezoid into two smaller trapezoids. Determines the ratio of their contents.

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