# Examples for 9th grade - page 58

- Cans

How many cans must be put in the bottom row if we want 182 cans arrange in 13 rows above so that each subsequent row has always been one tin less? How many cans will be in the top row? - Water reservoir

The cuboid reservoir contains 2200 hectoliters of water and the water height is 2.9 m. Determine the dimensions of the bottom where one dimension is 2.1 m longer than the second one. - Interst on savings

The bank offers 1.6% interest. How many euros have to insert at the beginning if we received € 15 on the interest? - Mortgage

Family XY wants to take the bank mortgage (loan for an apartment/house) in the amount of € 100,000. Bank for processing the mortgage charges a fee of 0.79% of the amount borrowed. How many euros is this fee? - Apprentice

Worker and apprentice execute the work for 6 hours. Worker performs himself in 10 hours. How long do the work of an apprentice? - Isosceles right triangle

Contents of an isosceles right triangle is 18 dm^{2.}Calculate the length of its base. - Radians compare

What is greater angle? 1 radians or 1π radians? - Basic form

Expressed the ratios of values in the basic form: 0,5 t : 1,2 kg 200 l : 0,15 m^{3}12 t : 3600 kg 500 kg : 2,5 t 0,9 kg : 500 g 3,6 m : 240 cm 1200 mm : 2,4 m 300 l : 0,3 m^{3}6 min 30 s : 900 s - Sweets

3 chocolate and 7 cakes cost 85, - CZK. 2 chocolates and 6 cakes cost 86, - CZK. How much is 5 chocolates and 9 cakes? I wonder how to get the result, but only by logic without the use of a system of equations - Compound interest

Compound interest: Clara deposited CZK 100,000 in the bank with an annual interest rate of 1.5%. Both money and interest remain deposited in the bank. How many CZK will be in the bank after 3 years? - Candies

There are two types of candies in the store at 20 CZK/kg and 80 CZK/kg. How much will be cost a mix if we mix 22kg cheaper and 4kg more expensive candies? - Vacation

Smiths paid a deposit for a vacation of two-sevenths of the total price of the vacation. Then paid also € 550. How much cost their vacation? - Heating plant

Workers dump imported coke at heating plant. On the first day used half of the amount, the second day three quarters the rest and on the third day left 120 tons. How much coke they dump at heating plant? - Rhombus and diagonals

The a rhombus area is 150 cm^{2}and the ratio of the diagonals is 3:4. Calculate the length of its height. - Prism bases

Volume perpendicular quadrilateral prism is 360 cm^{3.}The edges of the base and height of the prism are in the ratio 5:4:2 Determine the area of the base and walls of the prism. - Painters 4

One painter will do the job for 12 days. After a 4 1/3 day he comes second to help him and complete work together for 8 days. How long would work the second painter himself? - Rain

How many mm of water rained the roof space 75 m^{2}if the empty barrel with a radius of 8 dm and height 1.2 m filled to 75% its capacity? :-) - 3 years savings

Simple interest - Tereza has deposited CZK 100,000 in the bank with an annual interest rate of 1.5%. Interest is added each year and left aside. How many CZK crowns will has total after 3 years? - Vector - basic operations

There are given points A [13; 11] B [23; -4] C [9; -1] and D [-11; 25] a. Determine the coordinates of the vectors u=AB v=CD s=DB b. Calculate the sum of the vectors u + v c. Calculate difference of vectors u-v d. Determine the coordinates of the vector w - Trapezium

The length of the base and the height size of the base of the trapezium is at ratio 5:3:2, the content area of the trapezium is 128 cm^{2.}Calculate the length of the base and the height of the trapezoid.

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