Maths practice for 12-year-olds - page 313 of 362
Number of problems found: 7223
- Students activities
There are 28 students in the class. Twenty-one of them are involved in ring activities. What part of the class does not attend the circle? - Circle chord
Calculate the length of the chord of the circle with radius r = 10 cm, the length of which is equal to the distance from the circle's center. - Embankment
The perpendicular cross-section of the embankment around the lake has the shape of an isosceles trapezoid. Calculate the perpendicular cross-section, where the bank is 4 m high, the upper width is 7 m, and the legs are 10 m long. - Two monuments
The distance between two historical monuments on a map with a scale of 1:500000 is 48 mm. Find the actual distance between these monuments in km. - Flowerbed 2540
The flowerbed has a diamond shape with side a = 35 dm. The longer diagonal is 56 dm long. Calculate the area of the flowerbed. - Produced 2536
The farm produced an average of 16.8 tons of potatoes per hectare. They had a 7% higher yield on state property. What was the average yield per hectare on state property? - Windbreak
A tree at a height of 3 meters broke in the windbreak. Its peak fell 4.5 m from the tree. How tall was the tree?
- Voltage 2533
The high voltage mast fastens 30 m long ropes at 2/3 of the mast height. How tall is the mast if the ropes anchor at 15 m from the mast? - Machines 2
Two machines produce 2,000 products in 50 hours. How many machines do you need to buy to make 15,000 products in 30 hours? - Workers 2
The worker dug the trench for 7 hours, and another worker for 10 hours. They recruited to work even one worker. Digging should be done for 2 hours. For how long would dig the third worker alone? - Lcd3
What is LCD of the equation of x/2 + 1/3=5/2 ? And what is x? - Two looms
On two looms of different performances, the desired amount of fabric can be woven in 6 hours when both are working simultaneously. On the first machine, this amount of fabric would be woven in 10 hours. How long would it take to weave on the second machin - Two trains
Two trains go at each other. First at a speed of 40 km/h and the second at a speed of 60 km/h. At what distance will it be 30 minutes before they will meet? - Determine 2510
Anna, Peter, Rado, Mišo, and Tomáš shared the amount of 250 euros in the ratio 1:1:1:1:1. Find how much each of them received. - Weights
Marry and John together, weighing 49 kg. Their weights are in a ratio of 1:6. Determine their weights.
- Chocolate
I eat 24 chocolate in 10 days. How much chocolate do I eat in 15 days at the same pace? - Brigade
On a weekly forest, the summer job operates 12 students. After plant one hundred spruces, get x CZK, after one hundred pines y CZK. How many CZK got one student for one day if planted spruces 25000 and 30000 pines week? - Cubes
How many cubes with an edge length of 5 cm may fit in the cube with an inner edge of 0.4 m maximally? - Saved 2490
Žeňa and Ivan saved a total of 800 CZK. How much did Ivan save if he had saved 80 CZK more than Žeňa? - Fractions mul add sum
To three-eighths of one-third, we add five-quarters of one-half and multiply the sum by four. How much will we get?
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