Maths practice for 14 year olds - page 359 of 379
Number of problems found: 7575
- 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 25%, 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 = 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 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? - Oil rig
The oil drilling rig is 23 meters in height and fixes the ropes, the ends of which are 10 meters away from the foot of the tower. How long are these ropes? - Moving
Vojta left the house at three o'clock at 4 km/h and, half an hour later, went from the same place to Filip by bicycle at speed 11 km/h. How long does it take Tilip to catch up with Vojta, and how far from the house? - Dices
We will throw two dice. What is the probability that the ratio between numbers on the first and second dice will be 1:2? - Ace
We pulled out one card from a complete set of playing cards (32 cards). What is the probability of pulling the ace?
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