Examples for secondary school students - page 186 of 237
Number of problems found: 4730
- Rectangle dimensions
The rectangle is 6 cm longer than the width. A square with a side equal to the length of the rectangle has an area of 78 cm² larger than the rectangle. Calculate the dimensions of the rectangle. - Right triangle area
In a right-angled triangle ABC, the height of side c has a length of 6 cm. The letter D indicates the heel of the height. Line segment AD is 8 cm long. Calculate the area of triangle ABC. ( example on Monitor 9 ) - Triangle perimeter
The right triangle has squares in the ratio of 5:12, and the circumscribed circle diameter is 26 cm. Determine its perimeter. - Big celebration
An inseparable part of all big celebrations is the entertainment, during which the participants try to pull off the tablecloth from the set table so that nothing falls from the table on the ground. Let us look at this trick up close. We will start from Ne - Electricity consumption - Filip
Last year Filip was writing a long school paper. As a great conservationist of nature, however, he was unable to decide which is more ecological - to write the paper on a computer, or to write the paper by hand. Filip found out that: the paper written on - Costume
Denisa is preparing for a goldsmith's costume carnival. During the preparations, she thought she would let her hair wipe instead - she would apply a 5 μm thick layer of gold to each hair. How much gold would Denisa need? Assume that all hundred thousand D - Rectangle vs square
One side of the rectangle is 1 cm shorter than the side of the square. The second side is 3 cm longer than the side of the square. The square and rectangle have the same area. Calculate the length of the sides of a square and a rectangle. - Number difference
The difference between the two numbers is 82. The first number is eight, less than the square of the second number. Specify these numbers. - Concentration
How many grams of 65% and 50% acid are to be mixed to give 240 g of acid with a concentration of 60%? - Hydrochloric acid Determine the concentration of which must have a solution of hydrochloric acid that mixes 10 l of the solution with 8 liters of 26% solution to get the solution with a concentration of 50%.
- Product of three
The product of 3 numbers is 42. The first is 1.5 times larger than the second number, and the third is 3.5 times larger than the second number. What numbers are these? - Water mixing
Find how many liters of water at 80 °C and 20 °C need to mix to get 30 liters at 60 °C. - Tree storm
In the orchard, there were 46 more apple trees than pears. The storm upset a quarter of apple trees and seven pears; however, there were still 80 trees left. How many were apple trees, and how many pears were in the garden? - Apple baskets
How many apples are in the fifth and eighth baskets if there are five apples in the first and 11 more apples in the next than in the previous one? - Solution
What amount of 80% solution and water is needed to mix to obtain two liters of 60% solution of this mixture? - Two-digit numbers
How many two-digit numbers can you create from the digits 7,0,1 and 5 if the numerals can be repeated? - Gp - 80
One of the first four members of a geometric progression is 80. Find it if we know that the fourth member is nine times greater than the second. - Topic probability
There are eight styles of graduation topics in the Slovak language. The Minister of Education draws 4 of them. How likely is he to choose at least one of the pairs? - Beam on platform
A homogeneous wooden beam of length 6.00 m and mass 72.0 kg lies on a horizontal platform high above the ground and overhangs by 1.80 m over the edge of the platform a) Decide whether a person with a mass of 60.0 kg can stand on the overhanging end of the - Contestants
In the competition, it was possible to get 0-5 points. Five of the 15 best contestants have earned 5 points or 4 points (which have won 10 contestants). The number of contestants who scored 3 points was the same as those who did not get any points. Calcul
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