Maths practice for 12-year-olds - page 259 of 347
Number of problems found: 6932
- Display case
Place a glass shelf at the height of 1 m from the bottom of the display case in the cabinet. How long platter will we place at this height? The display case is a rectangular triangle with 2 m and 2.5 m legs. - Thales
Thales stands 1 m from the edge of the hole. The eyes are 150 cm above the ground and look into the hole with a diameter of 120 cm, as shown. Calculate the depth of the hole. - Boys at camp
At the camp, half of the boys went on a trip one day, a third went swimming, and 17 boys had various services. How many boys were there in total at the camp? How many boys were on the trip, and how many were swimming? - Black passengers
Five inspectors will catch an average of 70 black passengers in 6 days. How many black passengers are caught by nine inspectors in 10 days? - Crown coins
Jane saves two-crown and five-crown coins. She has 32 coins in the cashier. How many two crowns and how many five crowns would she have if she saved 145 crowns? - Triangle construction
Try to construct the MNP triangle. p = 6 cm, n = 5 cm, Vp = 4 cm Answer the measured side length m - Apartment sizes
The house has apartments of three sizes. One-sixth are four-room, and one-third are two-room. There are 160 three-room apartments. How many two-room apartments are there? - Rhombus EFGH
Construct the rhombus EFGH where e = 6.7 cm, height to side h: vh = 5 cm - Train distance
Two trains traveling in opposite directions meet at 8:00. How many km apart are they at 8:20 when one goes at 75 km/h and the other at 120 km/h? - Kilometers in the city
If the distance between two cities is 15 kilometers, and the scale of the map is 1:300000, what is the distance on the map? - Menu choices
The dining room offers three types of soups and four types of main courses. How many ways can we choose soup and the main course? - Flowerbed
The park has a large circular flowerbed with a diameter of 12 m. Jacob ran around it ten times and the shorter Walt seven times. How many meters each went by, and how many meters did Jacob run more than Walt? - Fewer than 500 sheep,
There are fewer than 500 sheep, but if they stand in a double, triple, quadruple, five, and sixth-order, one sheep will remain. But they can stand in the seventh order. How many sheep? - Diameter
What is the inside diameter of the cylinder container if half a liter of water reaches a height of 15 cm? - Paint needed
The janitor is to paint the computer room walls, which are 7 m long, 5 m wide and 3 m high. The classroom has four square windows with a length of 1 m and a door 1 m wide and 2 m high. At least how many kilograms of paint should he buy if 1 kg of paint pa - Father and son
The father is 48 years old, and the son is 23. When will the father be twice as old as the son? - Plan length
The part is 230 meters long. What will its image length be on the plan at a scale of 1:2500? - Children pool
The bottom of the children's pool is a regular hexagon with a = 60 cm side. The distance between opposing sides is 104 cm, and the height of the pool is 45 cm. A) How many liters of water can fit into the pool? B) The pool is made of a double layer of pla - Force meter
We put the statuette on the force meter, which showed a value of 25 N. Then, we placed it on the force meter, completely immersed in the water. The force meter showed a value of 17 N. What is the statuette's volume? - The tank
The tank has 1320 liters of water and is shaped like a prism. Its base is a rectangle with sides a = 0.6 m and b = 1.5 m. How high is the water level in the tank?
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