Maths practice for 14 year olds - page 67 of 361
Number of problems found: 7217
- Refreshing drink
For the participants of a meeting a refreshing drink had to be prepared. The mineral water however had in summer the temperature of the room, i.e. 30 °C, for drinking water with a temperature of 10 °C would be suitable. Therefore the secretary took ice fr - Agricultural
Last year, the Agro agricultural company sowed wheat on a total area of 29 ha and rye on a total area of 18 ha. From all these fields, it harvested a combined total of 137.4 tonnes of grain. The sum of the average yields per hectare of wheat and rye was 5 - Weekend visitor percentage
The second weekend saw 20% fewer visitors than the first. Over the two weekends, the number of visitors was 27,500. How many visitors came on the second weekend? - Tank inlet filling
The fire tank is filled with three inlets, each flowing 6 liters per second in 12 hours. How long will it take to fill if 8 liters per second flow through each of them? - Karel grade average
Charles has an average grade of exactly 1.12 from five-minute episodes. Prove that at least 22 of them have one. - The perimeter
The perimeter of the base of a regular quadrilateral pyramid is the same as its height. The pyramid has a volume of 288 dm³. Calculate its surface area round the result to the whole dm². - Elevation of the tower
We can see the top of the tower standing on a plane from a certain point A at an elevation angle of 39°25''. If we come towards its foot 50 m closer to place B, we can see the top of the tower from it at an elevation angle of 56°42''. How tall is the towe - Deposit interest increase
How much is the deposit? Which at an interest rate of 3.75%p. a., will it increase by 25 euros in one year? - Water temperature mixing
You have water at a temperature of 10 °C and boiling water at a temperature of 100 °C. How do you prepare 9 liters of water at a temperature of 30 °C? - Triangle similarity area
Triangle ABC and triangle ADE are similar. Calculate in square centimeters the area of triangle ABC if the length of side DE is 12 cm, the length of side BC is 16 cm, and the area of triangle ADE is 27 cm². - Triangle perimeter ratio
The lengths of the sides of the triangle are in the ratio 7:6:4. The shortest side is 36 cm. What is the perimeter in cm of this triangle? - Triangle colored part
Kornelia cut off the colored part from the equilateral triangle. The shortest side of the colored triangle is 1/3 the length of the side of the original triangle. Calculate what part of the triangle she cut off. - Janka Danka payment Jane and Dana together paid €132 for the purchase. However, Jane paid five times as many as Dana. How many euros did Jane pay, and how much did Dana pay?
- Trapezoid plot area
The right trapezoidal plot has a basic length of 102 m and 86 m. The vertical arm is 63 m long. Calculate the plot’s area and the mesh consumption for its fencing. - Jakub 6
Jakub collects dice, all of the same size. Yesterday he found a box into which he began to place the dice. The first layer covered exactly the square bottom of the box. He placed five more layers similarly, but in the middle of the next layer the dice ran - Triangle greenhouse
A greenhouse has the shape of a prism lying on its side wall. The base consists of a trapezoid and a triangle. The lower base of the trapezoid has a length of 3 m, the upper base (and the side of the triangle) has a length of 2 m, the height of the trapez - Rail temperature expansion
How does the rail lengthen when the temperature changes from -30 °C to 30 °C if it is 25 m long at 0 °C? The temperature coefficient of longitudinal expansion is 12.10na-6Kna-1. - Tatra sand transport
Three Tatras transported 22.2 tons of sand. The second Tatra transported 20% more than the first, and the third Tatra 25% more than the second. How much did each Tatra take? - Seed germination probability
The manufacturer indicates that the germination rate of the pepper seeds is 68%. What is the probability that a) out of ten seeds sown, at least 8 will germinate? b) will at most 3 sprouts out of ten seeds be sown? - Trapezoid roof
The house's roof is a trapezoid of the same name, with 85 tiles at the ridge and 100 tiles at the bottom. There is always one more tiles in each row than the previous one. How many tiles do I need for the entire roof?
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