Maths practice for 14 year olds - page 190 of 376
Number of problems found: 7519
- Cylinder and its circumference
The height of a cylinder is four times its circumference, c. What is the volume of the cylinder in terms of its circumference c?
- Propeller
The aircraft propeller rotates at an angular speed of 200 rad/s. A) What is the speed at the tip of the propeller if its distance from the axis of rotation is 1.5 m? B) What path does the aircraft travel during one propeller revolution at a speed of 540 k
- Reducing balance method
A company buys an item having a useful life of 10 years for 1,000,000. If the company depreciates the item by the reducing balance method, a. find the depreciation for the first year. b. Estimate the depreciation for the second and third years. c. What is
- Pozdechodim 11611
Mr. Pozdechodim missed the bus at 10.05. At 10.10, he passed Jindra. The bus travels at an average speed of 60 km/h and Jindra at 80 km/h. Will they catch the bus, which is 20 km from the next stop?
- Budějovice 11601
At midnight, a 40km/h truck will leave České Budějovice for Turnov. At 1.5 hours after midnight, a 70 km/h car drove against him. The distance between České Budějovice and Trutnov is 223 km. At what time and how far from Trutnov will the two cars meet?
- Surface of the cylinder
Calculate the surface of the cylinder for which the shell area is Spl = 20 cm² and the height v = 3.5 cm.
- Cuboid face diagonals
The lengths of the cuboid edges are in the ratio 1:2:3. Will the lengths of its diagonals be in the same ratio? The cuboid has dimensions of 5 cm, 10 cm, and 15 cm. Calculate the size of the wall diagonals of this cuboid.
- Boys and girls
There are 20 boys and ten girls in the class. How many different dance pairs can we make of them?
- Compound interest 3
After eight years, what is the total amount of a compound interest investment of $25,000 at 3% interest, compounded quarterly? (interest is now a dream - in the year 2019)
- Minutes 11521
The road from Brno to Hodonin is 60 km long. Lenka left Hodonin at a speed of 4 km/h, and at the same time, Jonas left Brno on a moped for her. What was the moped's speed if Jonas and Lenka met in 1 hour and 30 minutes?
- Construct 11511
Construct the diamond ABCD so that its diagonal BD is 8 cm and the distance of apex B from the line AD is 5 cm. Specify all options
- Z8–I–5 MO 2019
For eight different points as shown in the figure, points C, D, and E lie on a line parallel to line AB, F is the midpoint of line AD, G is the midpoint of line AC, and H is the intersection of lines AC and BE. The area of triangle BCG is 12 cm² and the
- Body diagonal
Calculate the volume of a cuboid whose body diagonal u equals 6.1 cm. The rectangular base has dimensions of 3.2 cm and 2.4 cm.
- Kilograms of melons
The three melons weigh a total of 18 1/2 kg. The first weighs 1 1/4 kg more than the second and 2 3/4 kilograms more than the third. How much do melons weigh in kilograms?
- Cut trees
There are 1,200 trees in the grove, of which 55 percent are deciduous, the remaining coniferous. Workers cut down 35 percent of a) trees, b) deciduous trees, and c) coniferous trees. How many trees now have this grove?
- Uphill garden
I have a garden uphill, increasing from 0 to 4.5 m for a length of 25 m. How much is the climb in percent?
- The escalator
I run up the escalator constantly in the stairs' direction and write down the number of steps A we climbed. Then we turned around, ran it at the same constant speed in the opposite direction, and wrote down the number of steps B that I climbed. If A = 24
- Break time
Calculate how much percent of school time is spent on breaks. Calculate data for the whole week.
- Three points 4
The line passed through three points - see table: x y -6 4 -4 3 -2 2 Write line equation in y=mx+b form.
- Two workers
One worker needs 40 hours to do a job, and the second would do it in 30 hours. They worked together for several hours, then the company recalled the second, and the first completed the job in 5 hours. How many hours did they work together, and how much di
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