# Examples for 9th grade - page 25

- Pot

Calculate the height of 3 liter pot with shape cylinder with a diameter of 10 cm. - Unknown number 5

I think unknown number. If we enlarge it five times then subtract 3 and result decreases by 75% we get the number by one greater than the number I think. What number am I thinking? - Eva

When Eva buys 8 packages of cookies 4 CZK left her. If she wanted to buy 10 packages, she would have to borrow 20 CZK. How much money has Eva in her wallet? - Ski lessons

On the ski course leaves 80 pupils. They live in triple and quadruple rooms. Count if rooms is the 23. How many are triple and quadruple rooms? - Nuts, girl and boys

Milena collected fallen nuts and called a bunch of boys let them share. She took a condition: the first boy takes one nut and tenth of the rest, the second takes 2 nuts and tenth new rest, the third takes 3 nuts and tenth new rest and so on. Thus managed. - Pizza

Pizza with a diameter 41 cm have weight 531 g. What diameter will have a pizza weighing 749 g if it is make from the same cloth (same thickness....) and same decorated? - Toys

3 children pulled 9 different toys from a box. Many ways can be divided toys so that each children had at least one toy? - Rectangle

The perimeter of the rectangle is 22 cm and content area 30 cm^{2.}Determine its dimensions, if the length of the sides of the rectangle in centimeters is expressed by integers. - Three friends

Divide 570 euros to three friends so that first will get 50 euros less than the second and third twice more than the first. How many euros will get everyone? - The book

If one day you read p pages, you will read the book 24 days. If you read each day 10 pages more, you would read a book in 16 days. How many pages have the book? - Liters od milk

The cylinder-shaped container contains 80 liters of milk. Milk level is 45 cm. How much milk will in the container, if level raise to height 72 cm? - Stock

Enterprise sold 7/12 of their products to foreign markets and 2/5 of the remainder sold at home. How many % of the products is still in stock? - Parallelogram ABCD

The area of parallelogram ABCD is 41 cm^{2.}Points M and N are the midpoints of the sides AB and BC. What is the area of a quadrilateral MBND? - Alloy

The first alloy is a mixture of two metals in the ratio 1:2, the second is a mixture of same metals in the ratio 2:3. At what ratio we have these two alloys put into the furnace to obtain a new metal alloy with ratio 17:27? (All three ratios correspond to. - Circumferential angle

Vertices of the triangle ΔABC lies on circle and divided it into arcs in the ratio 5:5:3. Determine the size of the angles of the triangle ΔABC. - Isosceles III

The base of the isosceles triangle is 24 cm area 416 cm^{2.}Calculate the perimeter of this triangle. - Fertilizer

Mr. Gherkin use for fertilization 9% solution of fertilizer. 7 liters of it still left. How much water must be added to the solution to make only 5% solution? - Train

A passenger train traveled for 4 hours 136 km. 2.7 hours after its departure started fast train and caught it on 324 km. How many km/h is different its average speeds? - Squaring the Circle

Calculating side of the square with the same area as the circle of radius 18. - Cuboid

Cuboid with edge a=14 cm and body diagonal u=42 cm has volume V=10976 cm^{3.}Calculate the length of the other edges.

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