Examples for secondary school students - page 158 of 230

Number of problems found: 4586

Surface and volume
What is the volume of a sphere with a surface area of 113.04 square meters?
Trapezium
The lengths of parallel sides of a trapezium are (2x+3) and (x+8), and the distance between them is (x+4). If the area of the trapezium is 590, find the value of x.
Prescribed 4579
The racing ball for men has a prescribed weight of 7250g. It is made of iron. How does its diameter change if we make it from lead? The density of iron is 7.8 g / cm cubic, and the density of lead is 11.3 t / m cubic.
Everyone 4572
Two workers completed the work in 12 days. If the other worked ten days longer than the first, how long would everyone work alone?
Hectoliters 4550
The water's surface in the pool is a rectangle 50 meters long and 12 meters wide. The water depth rises evenly from 1 meter at one end of the pool to 3 meters at the other end of the pool (longer sides). Determine the amount of water in the pool in hectol
Multiplied 4545
Philip multiplied the number 4 twice in a row by his lucky number. He added 4 to the result and got a result of 200. What is Filip's lucky number?
Four sided prism
Calculate the volume and surface area of a regular quadrangular prism whose height is 28.6cm, and the diagonal body forms a 50-degree angle with the base plane.
According 4543
Three workers received €2,850 for the work done. They divided them according to the time worked so that the first got 20% less than the second and the third €50 more than the second. How many euros did the second worker get?
Combinations
How many elements can form six times more combinations of the fourth class than the combination of the second class?
Triangle ABC v2
The area of the triangle is 12 cm square. Angle ACB = 30º , AC = (x + 2) cm, BC = x cm. Calculate the value of x.
Pentagon
Calculate the length of a regular pentagon's side, circumference, and area, inscribed in a circle with a radius r = 6 cm.
Different 4533
Five different positive numbers are written on the board. Determine the largest possible number of pairs formed from them in which the sum of the two elements equals one of the five numbers written on the board.
Together 4521
Husband and wife earn 6600 euros together. The husband earns 20% more than the wife. What is the wife's income?
Octagonal pyramid
Draw an octagonal pyramid in free parallel projection if the length of the edge a = 3 cm and the height of the pyramid v = 6 cm.
Michaella presents
Katy went to buy presents for her 3 friends. She paid 1/4 of her savings for the gift for Kristy. She bought a present for Michaella with half of the remaining money. She paid €8 for a gift for Marta. How much did all the gifts for Katy's friends cost tog
Employees 4496
Four workshop workers had a basic hourly wage of € 8.50. Eight employees € 9.60, five employees € 10.90. What was the average basic hourly wage of workshop workers, and what will be if the hourly rates increase by 10%
Arithmetic 4495
Insert as many members of the arithmetic sequence between the numbers 8 and 20 that their sum is 196.
Motorcycle's 4492
Find the motorcycle's acceleration, which will cover a distance of 64 meters in 8 seconds if it is at rest at the beginning.
Cuboid and eq2
Calculate the volume of a cuboid with a square base and height of 6 cm if the surface area is 48 cm².
Body diagonal
The cuboid has a volume of 32 cm³. Its side surface area is double that of one of the square bases. What is the length of the body diagonal?

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