Physical quantity + reason - practice problems - page 14 of 15
Number of problems found: 300
- Floating floor
In the new building is considered a floating floor worker in each room. Thirty minutes lay 9 m² of the floor. How long did three workers lay the floor in 4 rooms with a total area of 90 m²? - There 26
There are 200 sweets in a jar, measured to the nearest 10. They weigh 600 grams to the nearest 10 grams. What is the least possible mass of each sweet in grams? 2 d. p - Nicolas
Nicolas and his father can repair one desk in 1/3 hour. How many desks can they repair in 3 hours? - Smaller 4835
There are two gears in the wall clock. The larger wheel has 54 teeth and the smaller 24 teeth. How many times does the small wheel turn if the big one turns four times?
- Into box
How many cubes with an edge of 2.5 cm fit into a box measuring 11.6 cm, 8.9 cm, and 13.75 cm? - Budapest 82510
In Trnava, it was -6 degrees Celsius; how much was it in Budapest, which was twice as hot.? - Dimensions 81670
A wooden crate with dimensions d=3m, e=4m, and f=3m was placed in a transport container with dimensions a=10 m, b=4m, and c=3m. What is the maximum length of a straight, rigid rod of negligible diameter that can still be placed in the container in this si - Painting
To paint the pool with dimensions: 2 meters depth, 3m x 4m we bought paint to 50 meters square. How much "paint" will be wasted? - Tetrahedron 83144
A container shaped like a rotating cylinder with a base radius of 5 cm is filled with water. If a regular tetrahedron with an edge of 7 cm is immersed in it, how much will the water level in the container rise?
- Wiring
The conduit has a cross-section 54² mm. Maybe put it into 6 conductors with a cross section S2 $mm²? - Right-angled 25091
A thin plate in the shape of a right-angled triangle is turned once around the shorter hanger and a second time around the longer hanger. Cones are described by rotation. Are they the same volume? The dimensions are: shorter pendant 6cm, longer pendant 8c - Spheres in sphere
How many spheres with a radius of 15 cm can fit into the larger sphere with a radius of 150 cm? - Mouse Hryzka
Mouse Hryzka found 27 identical cubes of cheese. She first put a large cube out of them and then waited for a while before the cheese cubes stuck together. Then, she will eat the middle cube from every wall of the big cube. Then she also eats the cube in - Metal balls
Four metal balls with a diameter of 5 cm are placed in a measuring cylinder with an inner diameter of 10 cm. What is the smallest water volume to be poured into the cylinder so that all balls are below the water level?
- Distance 11711
The observer sits in a room 2 m from a 50 cm wide window. A road runs parallel at a distance of 500 m. What is the cyclist's average speed on this road when the observer sees him at 15 s? - Tower
Charles built a tower of cubes with an edge 2 cm long. In the lowest layer, there were six cubes (in one row) in six rows. In each subsequent layer, always one cube and one row less. What volume in cm³ did the whole tower have? - Calculate 9221
There are two sloths in the tree's branches. One is 2.5 m from the trunk, and the other is on the other side of the tree, 4 m from the trunk. The sloths head out to get to know each other. Calculate how far from the log they will meet if they climb at the - Alarm clock
The old watchmaker has a unique digital alarm in its collection that rings whenever the sum of the alarm's digits equals 21. Find out when the alarm clock will ring. What is their number? List all options. - Uphill and downhill
The cyclist moves uphill at a constant speed of v1 = 10 km/h. When he reaches the top of the hill, he turns and passes the same track downhill at a speed of v2 = 40 km/h. What is the average speed of a cyclist?
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