Maths practice for 14 year olds - page 350 of 369
Number of problems found: 7380
- Circle arc
Calculate the circular arc area in m² where the diameter is 263 dm and the central angle is 40°. Please result round to three decimal places.
- Waiting room
In the waiting room are people and flies. Together, they have 21 heads and 102 legs (fly has six legs). How many people and flies are in the waiting room?
- Icerink
A rectangular rink with 68.7 m and 561 dm dimensions must be covered with a layer of ice 4.2 cm thick. How many liters of water is necessary for ice formation when the ice volume is 9.7% greater than the volume of water?
- Cyclists
The cyclist who rides at an average speed 20 km/h travels a trip distance 13 min before the cyclist who rides at an average speed 15 km/h. What is the length of this cyclist trip(distance in km)?
- Two wine
In the ratio of 2:1, mixed wine solution cost 4.1 USD. In the ratio of 1:2, mixed wine solution costs 4.5 USD. How much does a liter of each wine cost?
- Price of state
Estimate the cost of the state based on the following reasons. State price is expressed as a percentage of share in the redistribution of national GDP. Employee creates monthly value € 868 (super-gross wage). Then, tax him 35.2% employer contributions (th
- Hexagon
There is a regular hexagon ABCDEF. If the area of the triangle ABC is 10, what is the area of the hexagon ABCDEF? I do not know how to solve it simply....
- Balls
Ping-pong balls have a diameter of approximately 4 cm. It is sold in boxes of 9 pieces: each box has a cuboid shape with a square base. The balls touch the walls of the box. Calculate what portion of the internal volume of the box is filled with balls.
- Sale
If the product was twice price cut by 5%, what percentage was the price cut in total?
- Road repair
Road repair took 13 days for 39 workers if they worked 5 hours a day. How many days take to repair the same road 24 workers if they work 7 per day?
- Angles in a triangle
The angles of the triangle ABC make an arithmetic sequence with the largest angle γ=83°. What sizes have other angles in a triangle?
- Pyramid
The pyramid has a base a = 2cm and height in v = 7 cm. a) calculate the angle between plane ABV and the base plane b) Calculate the angle between the edges on the opposite side.
- Isosceles III
The base of the isosceles triangle is 18 cm area 250 cm². Calculate the perimeter of this triangle.
- XY triangle
Determine the area of a triangle given by line 2x-4y+47=0 and coordinate axes x and y.
- Tanks
The fire tank is cuboid in shape, with a rectangular floor measuring 13.3 m × 14.7 m. The water depth is 1.9 m. Water was pumped from the tank into barrels with a capacity of 5 hl. How many barrels would have been used if the water level in the tank
- Rotary cone
The volume of the rotation of the cone is 733 cm³. The angle between the side of the cone and the base angle is 75°. Calculate the lateral surface area of this cone.
- Cut and cone
Calculate the volume of the rotation cone whose lateral surface is a circular arc with radius 15 cm and central angle 63 degrees.
- Canopy
Mr Peter has a metal roof cone shape with a height of 127 cm and radius 130 cm over well. He needs to paint the roof with anticorrosion. If the manufacturer specifies the consumption of 1 kg to 3.3 m2, how many kg of color must he buy?
- Diagonals
The rhombus has two diagonals, e=14 dm, and f=11 dm. Calculate the side angle and height of the rhombus.
- Boat
A force of 240 kg (2400 N) is required to pull a boat up a ramp inclined at 10° with horizontal. How much does the boat weigh?
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