Maths practice for 14 year olds - page 67 of 367
Number of problems found: 7329
- Everyone age average
There are 10 students in the drama club. We count everyone's age in whole years. The average age of the girls is 12.25 and the boys 12.5, and the average age of all is 12.3. How many girls and how many boys are there in the class? - Cyclist peloton speed
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? - Triangle angle operations
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 price increase
Before the season, the windbreaker became more expensive by 30% to the amount of 80.60. How much was it before the price increase? - Friends money division
The three friends divided the money earned as follows: Tony got 2/5, Charles 2/9, and Jirko took the rest of CZK 102. How much did each of them earn? - In the fifth
In the fifth grade, which is attended by 88 pupils, two elective subjects are taught: mathematics exercises and sports games. 66 pupils did not attend mathematics exercises, which is 3 more than the number of pupils who did not sign up for sports games. 9 - Square broken line
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 - 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?
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