Maths practice for 14 year olds - page 63 of 371

Number of problems found: 7415

Possible 81020
The front of the cycling peloton travels at an average speed of 48 km/h. The cyclist with the green T-shirt lost 5 minutes when he fell. What speed must he drive if he wants to reach the front of the peloton in twenty minutes? Possible?
Intersection 81017
There are also two equilateral triangles ABC, and BDE, such that the size of the angle ABD is greater than 120° and less than 180° points C and E lie in the same half-plane defined by the line AD. The intersection of CD and AE is marked F. Determine the s
Windbreaker 81000
Before the season, the windbreaker became more expensive by 30% to the amount of 80.60. How much was it before the price increase?
Follows: 80998
The three friends divided the money earned as follows: Tonda got 2/5, Karel 2/9, and Jirko took the rest of CZK 102. How much did each of them earn?
Respectively 80982
The vertices of the square ABCD are joined by the broken line DEFGHB. The smaller angles at the vertices E, F, G, and H are right angles, and the line segments DE, EF, FG, GH, and HB measure 6 cm, 4 cm, 4 cm, 1 cm, and 2 cm, respectively. Determine the ar
Agricultural
Last year, the Agro agricultural company sowed wheat on land with a total area of 29 ha and rye on land with a total area of 18 ha. From all these lands, it harvested a total of 137.4 tons of grain. The sum of the average yields per hectare of wheat a
Visitors 80966
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?
Through 80963
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?
Five-minute 80951
Karel 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 50m 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 tower
Interest 80867
How much is the deposit? Which at an interest rate of 3.75%p. a., will it increase by 25 euros in one year?
Temperature 80864
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?
Centimeters 80859
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.
Perimeter 80853
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?
Equilateral 80851
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.
Purchase 80850
Janka and Danka together paid €132 for the purchase. However, Jana paid five times more than Danka. How many euros did Janka pay, and how much did Danka pay?
Consumption 80836
The right trapezoidal plot has a basic length of 102m and 86m. The vertical arm is 63 m long. Calculate the plot’s area and the mesh consumption for its fencing.
Longitudinal 80822
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.
Transported 80813
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?

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