Maths practice for 12-year-olds - page 63 of 362
Number of problems found: 7228
- Dimensions 81622
We cut the 80 cm and 50 cm, and 20 cm frames with a weight of 160 kg to a frame of half the dimensions. What is his weight now? - Classroom 81621
On a classroom clock, the large (minute) hand on the clock will travel through an angle of 120 degrees in some time. What angle does the small (hour) hand pass in this time? - 2-meter-long 81619
How tall is the tree if I lean a 2-meter-long ladder against it? The ladder is 0.7 m away from the tree, and the top of the ladder rests against the tree at 2/3 of its height. - Portioning ice cream
How many scoops of ice cream can we make using a scoop in the shape of a spherical canopy with a radius of 2.5 cm and a height of 4 cm. We have a 2-liter ice cream tub available. When portioning, we will follow the exact measure. - The concrete basement
The concrete base has a square base a = 90 cm and is 0.2 m high. How many kg of concrete did we use to build it if the concrete density is ρ=2200 kg/m³? - Garden 81614
The garden is drawn on a scale of 1:200. In what ratio are the real area of the garden and the area of its image? - Dimensions 81607
On a 1:150000 scale map, what will be the dimensions of a strip of the forest whose actual length is 6 km and actual width is 900 meters?
- Eight-millimeter 81605
The rain gauge showed that an eight-millimeter layer of water fell on Mr. Severa's square garden. If Mr. Severa wanted to achieve the same irrigation of the garden, he would have to use 200 full sixteen-liter watering cans. calculate the area of his garde - Pampalini 81604
Pampalini, an animal hunter, told a stranger how he caught a huge crocodile. He claimed that his head was as long as half his tail, and his body was as long as three and a half heads. How long was the crocodile if you know its tail was 4 meters? - Perimeter 81600 The radius of the circular bed is 2 m. Around it is an area filled with sand, the border of which is formed by the sides of a square with a length of 5 m and the bed's perimeter. Calculate the volume of the area covered with sand.
- Rectangle's 81596
The rectangle has a perimeter of 30 cm. The ratio of its sides a: b=2:3. Calculate the sides' lengths and the rectangle's area. - Proportion 81593
Express the ratio. There are 12 boys and 16 girls in the class. a) In what ratio is the number of girls to the number of boys? b) In what proportion is the number of boys to the total number of pupils? - Calculate 81590
Calculate the central angle if r = 72 cm and the arc length is 12.4 cm. - Performance 81586
The performance of three lathes can be expressed by the ratio 3:5:8. The most powerful lathe produces 136 shafts per shift. How many shafts did each of the remaining lathes make per shift? - Distance 81578
The express train leaves place A at 19:20 and arrives in town B at 20:24. The average speed of the express train is 15 m/s. What is the distance between cities A and B?
- Downstream 81577
The water in the river has a speed of 4.8 km/h relative to the bank. A boat in still water has a speed of 12.6 km/h. a) What is the boat's speed relative to the shore if it is sailing downstream and upstream of the river? b) What path will the boat travel - Two friends
Michael and Teresa have the same 9 km long journey home from SNP Square. It takes Michael an average of 2/5 hours by tram, and Teresa rides a bicycle at an average 18 km/h speed. Guess who comes home early and how much? - Remainders 81569
If we divide numbers by a divisor of 15, we get several different remainders. Write the sum of all possible even remainders that we get this way. - Propagation 81568
A cannon fired at a distance of 2720 m from the observer. The sound of the shot was heard by the observer 8 seconds after the flash. Calculate the speed of sound propagation in the air if we assume that the observer saw the flash at the same time as the s - Discounted 81567
A trip to Egypt was discounted by one-third of the price at the last minute. The discount was 5760 CZK. What was the original price of the tour?
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