Maths practice for 14 year olds - page 156 of 371
Number of problems found: 7402
- Construction 27743
The length of the gutter is 2 m, and the diameter of the gutter is 0.4 m. It is necessary to add 7% of the material to the joints. Find the consumption of sheet metal for the gutter construction. - Diameter 27703
The road roller has a diameter of 0.81 m and a width of 154 cm. How many m² of the road will it level when it turns 37 times? - Right-angled triangle
The right-angled triangle XYZ is similar to the triangle ABC, which has a right angle at the vertex X. The following applies: side a = 9 cm, x=4 cm, x = v-4 (v = height of triangle ABC). Calculate the unknown side lengths of both triangles. - Cleaning 27663
During the pool cleaning, two drains and one inlet were opened. The first outflow would empty the pool in 6 hours, the second outflow would fill it in 9 hours, and the inflow would fill it in 12 hours. How long will it take to empty if the drains are open - Four-sided 27601
The house's roof has the shape of a regular four-sided pyramid 4 m high with a base edge of 100 dm. We consider 30% of the roofing in addition to the overlap. Calculate how much m² of roofing is needed to cover the roof. - Concentration 27551
We need a 4% solution of H2O2 (hydrogen peroxide) for the disinfection solution. We only have a 40% solution available. How much water must we add to 100ml of the original solution to obtain the desired concentration? - Sailboat
The 20 m long sailboat has an 8 m high mast in the middle of the deck. The top of the mast is fixed to the bow and stern with a steel cable. Determine how much cable is needed to secure the mast and what angle the cable will make with the ship's deck. - The Europe
The map of Europe is made at 1:4000000, and the distance between Bratislava and Paris is 28 cm. When will an airplane flying 800 km/h fly this journey? - Similarity coefficient
In the triangle TMA, the length of the sides is t = 5cm, m = 3.5cm, and a = 6.2cm. Another similar triangle has side lengths of 6.65 cm, 11.78 cm, and 9.5 cm. Determine the similarity coefficient of these triangles and assign similar sides to each other. - Between 27501
Dan and Honza live 4 km from each other. They agreed to meet on the way between the two homes. Dan went out at 2 p.m. at a speed of 5 km/h. Honza rode towards him on a bicycle at 15 km/h. What time did they meet, and how far did John travel? - Chord of triangle
If the whole chord of the triangle is 14.4 cm long, how do you calculate the shorter and longer parts? - Beer tapping
When checking compliance with the beer tapping, it was found that 60% of the offered beers were underfilled. The others were fine. Thus, instead of 0.5 l, the volume was 4.4 deciliters on average. What was the volume of one average underfilled beer? - Receiving heat
How many degrees Celsius was an iron cylinder weighing 300 g heated in a water bath if it received heat of 7.2 kJ? (specific heat capacity of iron c = 0.46kJ/kg/ºC) - Calculate 27441
Calculate the length of the side of the square if the size of the diagonal u = 9.9 cm is entered. - Difference 27431
The sum of 2 numbers, x, and y, is 80, and their difference is 16. Determine the numbers x and y. - Cuboid-shaped 27421
The cuboid-shaped aquarium has the dimensions of the bottom: a = 0.7 m, b = 0.4 m. if it is filled to 90% of its volume and contains 75.6 liters of water? - Original 27411
The tourist section planted 145 trees, 16% more than planned. What was the original plan? - Final price
The bookshop reduced the book's original price of CZK 850 by 20%. It was raised by 20% of the new price in a week. Find the final price of the book. How much percent of the original price of the book is the final price? - Final exam
At the final exam, the student answers from three areas, which are evaluated in a ratio of 1:2:2. What grade will John receive if he replies as follows: 3,1,2. - Banknotes 27361
We have the amount of 1,250 euros in banknotes of 100 and 50 euros. We have a total of 17 banknotes. How many are there?
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