Maths practice for 14 year olds - page 296 of 314
Number of problems found: 6274
- Isosceles trapezoid
Isosceles trapezoid ABCD, AB||CD is given by |CD| = c = 12 cm, height v = 5 cm and |CAB| = 41°. Calculate area of the trapezoid.
- Driving school
Driving final exam involving 10 attendants. The exam consists of three parts. 2 fails the test (quiz), and 6 students fail on car skills test on the playground (slalom between the cone). The practical part of the test - driving in town in real traffic - a
- 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?
- Weekly service
There are 20 pupils in the class. How many opportunities has the teacher randomly selected for two pupils to have a week-class service?
- Certificate
There are 31 students in a class. The mathematics score wasn't worse than 2. The average score in mathematics was 2. How many students have a score of one, and how many have a score of 2?
- 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
- Sale
If the product was twice price cut by 25%, what percentage was the price cut in total?
- Road repair
Road repair took 19 days for 35 workers if they worked 9 hours a day. How many days take to repair the same road 26 workers if they work 10 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 = 3cm and height in v = 15 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 17 cm area 416 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 967 cm³. The angle between the side of the cone and the base angle is 70°. 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.
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