Maths practice for 14 year olds - page 304 of 370
Number of problems found: 7395
- Dimensions 3159
The rectangle is 6 cm longer than the width. A square with a side equal to the length of the rectangle has an area of 78 cm² larger than the rectangle. Calculate the dimensions of the rectangle. - The roof of the church
The cone roof of the church has a diameter of 3 m and a height of 4 m. What is the size of the side edge of the church roof (s=?), and how many sheets of the sheet will be needed to cover the church roof? - Church roof 2
The roof has the shape of a rotating cone shell with a base diameter of 6 m and a height of 2.5 m. How much money (CZK) will cost the roof cover sheet if 1 m² of metal sheet costs 152 CZK and if you need 15% extra for joints, overlays, and waste? - Circumscribed circle to square
Find the length of a circle circumscribing a square side of 10 cm. Compare it to the perimeter of this square. - Right-angled 3147
In a right-angled triangle ABC, the height of side c has a length of 6 cm. The letter D indicates the heel of the height. Line segment AD is 8 cm long. Calculate the area of triangle ABC. ( example on Monitor 9 ) - Perpendicular 3146
The base of the vertical prism is a right triangle with a perpendicular 5 cm. The area of the largest wall is 130 cm2, and the body's height is 10 cm. Calculate the surface area of the body. - Approximate 3145
The surface of the cylinder with a base diameter of 20 cm and a height of 0.3 m is approximate. - Prism - box
The prism's base is a rectangle with a side of 7.5 cm and 12.5 cm diagonal. The volume of the prism is V = 0.9 dm³. Calculate the surface of the prism. - Body diagonal
Find the cube surface if its body diagonal has a size of 6 cm. - Three-hectolitre 3136
Workers rolled the oil into 115 two-liter and three-liter cans from a full three-hectolitre barrel. How many cans were there? - Cylinder
A 1-meter diameter cylinder is 1413 liters of water, which is 60% of the cylinder. Calculate the cylinder height in meters, do not write the units. Please the resulting value round and write it as an integer. - Circumscribed 3132
The right triangle has squares in the ratio of 5:12, and the circumscribed circle diameter is 26 cm. Determine its perimeter. - Gardens
I have a garden in the shape of a square with a side length of 0.02 kilometers. The neighbor has a large garden, and we share one side of the garden. I bought from a neighbor's garden, and my garden area increased to 5 ares. I. By how many acres I purchas - Siblings
Three siblings had saved up a total of 1,274 CZK. Peter had saved up to 15% more than Jirka and Hanka, 10% less than Peter. How much money did they save for each one of them? - Painting
The room is 50 meters long, wide 60 dm, and 300 cm high. Calculate how much it will cost to paint if the area of windows and doors is 15% of the total area. One square meter costs 50 cents. - Costume
Denisa is preparing for a goldsmith's costume carnival. During the preparations, she thought she would let her hair wipe instead - she would apply a 5 μm thick layer of gold to each hair. How much gold would Denisa need? Assume that all hundred thousand D - Concentration
How many grams of 65% and 50% acid are to be mixed to give 240 g of acid with a concentration of 60%? - Hydrochloric acid Determine the concentration of which must have a solution of hydrochloric acid that mixes 10 l of the solution with 8 liters of 26% solution to get the solution with a concentration of 50%.
- Acid solution
By adding 250 grams of a 96% sulfuric acid solution to its 3% solution, we changed its initial concentration to 25%. How many grams of 3% of the acid were used for dilution? - Product 3108
The product of 3 numbers is 42. The first is 1.5 times larger than the second number, and the third is 3.5 times larger than the second number. What numbers are these?
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