# Harder math problems - last page

- Quadrilaterals 7224

In the ABCDEFGHIJKL, the two adjacent sides are perpendicular to each other, and all sides except the AL and GF sides are identical. The AL and GF parties are twice as long as the other parties. The lines BG and EL intersect at point M and divide the dode - Cylinder

Calculate the dimensions of rotating cylindrical containers with volume 2 l if the container's height equals the base's diameter. - Steeple

We see the church tower from the road at an angle of 52°. When we zoom out to 29 meters away, it can be seen at an angle of 21°. How high is it? - Green - Red

We have 5 bags. Each consists of one green and 2 red balls. From each, we pull just one ball. What is the probability that we don't pull any green ball? - Train

The train is running at speeds of 96 km/h. From the beginning of braking to full stop, the train runs for 3.3 minutes. If the train slows the braking equally, calculate the distance from the location where you need to start to brake. - Gutter

How much metal is needed to produce 60 pieces of gutter pipes with the diameter 17 cm and length of 6 m? The plate bends add 6% of the material. - Tangents

To circle with a radius of 41 cm from the point R guided two tangents. The distance of both points of contact is 16 cm. Calculate the distance from point R and circle center. - Heron backlaw

Calculate the missing side in a triangle with sides 25 and 13 and area 152. - Circle in rhombus

In the rhombus is an inscribed circle. Contact points of touch divide the sides into parts of length 19 cm and 6 cm. Calculate the circle area. - Two workers

Two workers will do certain work for 12 days. After eight days of working, one was removed, and the other finished the job alone in 10 days. For how many days would you do this work alone for each worker? - Rhombus 2

Calculate the rhombus area with a height v=48 mm and shorter diagonal u = 60 mm long. - Steps

How many steps do you save if you go square estate for diagonal (crosswise) rather than circumvent the two sides of its perimeter with 458 steps? - n-gon II

What is the side length of the regular 5-gon circumscribed circle of radius 11 cm? - Diagonals of the rhombus

Calculate the height of the rhombus whose diagonals are 18 cm and 6 cm. - 4s pyramid

A regular tetrahedral pyramid has a base edge a=17 and a collateral edge length b=32. What is its height? - 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. - Aquarium II

Calculate how much glass we need to build an aquarium with a rectangular shape with a base 70 cm × 70 cm and a height of 70 cm, if the waste is 2%. The aquarium hasn't top glass. - The cyclist

The cyclist went from village to town. The first half of the journey went at 20 km/h. The second half of the journey, which mostly fell, went at 39 km/h. All journeys took 88 minutes. Calculate the distance from the village to the town. - Against each other

From two points, A and B distant 23 km at the same time started two cars against each other at speeds 41 km/h and 65 km/h. How long do cars meet, and what distance passes each of them? - Four pupils

Four pupils divided euro 634 so that the second received 30% less than the first, the third 1/5 less than a fourth, and the fourth euro 95 less than the first. How much money had each of them?

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