Maths practice for 12-year-olds - page 57 of 351
Number of problems found: 7020
- Completely 82545
A granite cube with an edge length of 1 dm and a weight of 2.5 kg is completely immersed in a container of water. How much buoyancy does it lighten? How much pressure does the cube exert on the bottom of the container?
- Cross-section 82544
A water spray nozzle with a cross-section of 1.5 cm² sprays water at a speed of 24 m/s. What is the speed of the current in the supply pipe whose cross-section has a volume of 18 cm²?
- Fraction 82525
Of 32 students in the class, 3/4 of the children were on the trip. Write as a fraction what part of the students stayed at home. How many students were on the trip?
- Rectangular 82520
The sides of the rectangular forest plot are in the ratio 11:7. The shorter side of the plot is 175 meters long. Calculate the longer side of the rectangular plot. How many steps would we take if we went around the whole lot? The length of 1 step is 60 cm
- Describes 82518
The minute hand describes an angle of 180 degrees in half an hour. In how many minutes does the minute hand cover an angle of 192 degrees?
- Peripheral 82517
Calculate the peripheral speed of the number on the Wheel of Fortune if the wheel rotates within a period of 0.25 seconds and the number is written 1.5 m from the center of the wheel.
- Identical 82514
What is the volume of a large cube composed of 27 identical small cubes with an edge length of 3 cm?
- Halfway 82508
Which number is halfway between a quarter of a fifth and a half of a third on the number line?
- box orders
You must order 100 wooden boxes from the United States of America. Each box costs $2.35 (dollars). How much will the order cost in £ (GB pounds)? The exchange rate is $1 = £0.70
- Triangle sides - natural
In triangle ABC, side a = 30 cm b = 7 cm. The length of the third side in cm is a natural number. What is the least and what is the greatest length that side c can have?
- Dimensions 82501
The table has the shape of a rectangle with dimensions of 80 × 100 cm. Ten identical sheets of paper measuring 20 x 30 cm lie next to each other on it. Papers do not overlap or extend beyond the surface of the table. What part of the table surface is cove
- Tetrahedron 82497
The sum of the lengths of all the edges of the regular tetrahedron ABCD is 48 cm. How many cm is the segment XY if you know that X is AB's midpoint and Y is CD's midpoint?
- The teapot
There were 2 liters of tea in the teapot. Dad poured himself a quarter of a liter of tea and Mom half a liter of tea. What part remained in the teapot?
- Meters 82487
How many meters are in 1/5 km?
- Misha 82482
Misha the bear slept 60 hours in one week. More than he was awake. How many hours per week did Mišo sleep?
- Taking 82481
There were pears in the basket. I took a third of them, which was 6 pears. How many pears were in the basket before taking it?
- Determine 82470
The school building casts a shadow 16 m long on the plane of the yard, and at the same time, a vertical meter pole casts a shadow 132 cm long. Determine the height of the building.
- Segment 82462
I will reduce a segment of length 16 cm in the ratio 7:8, what will its length be in cm?
- Calculate 82459
Calculate the depth of a pool that is 10 m long and 5 m wide if its volume is 65 m³
- Altogether 82457
Mr. Novák needs three wooden poles 21 dm, 350 cm, and 2.8 m long. He needs to cut them into smaller pieces of the same length, as long as possible. How long will he get and how many pieces will he have altogether?
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