Examples for secondary school students - page 180 of 230
Number of problems found: 4597
- 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. - Difference 3113
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 3108
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? - Liters 3107
Find how many liters of water at 80 °C and 20 °C need to mix to get 30 liters at 60 °C. - Quarter 3106
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? - Previous 3105
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 3085
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. - Probability 3080
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? - 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 - Probability 3065
Natural numbers 4,5,7,11,12 are given. Calculate the probability of the event that the sum of three randomly selected numbers is less than 22. - AP 6
Calculate the first five items of an arithmetic sequence if it is given: a2 – a3 + a5 = 20 a1 + a6 = 38 - Salary in enterprise
The average salary in the company is 27,000 CZK. 30% of workers have the lowest average income of 19,000 CZK. The wages in this group increased by 2%. How much did this increase the average wage across the company? - Subsequent 3056
There are 48 pupils in the third row and 17 more in each subsequent row than in the previous one. Find how many pupils there are in the first and tenth rows. - Centre of mass
The vertices of triangle ABC are from the line p distances 3 cm, 4 cm, and 8 cm. Calculate the distance from the center of gravity of the triangle to line p. - Cards
The player gets eight cards of 32. What is the probability that it gets a) all four aces b) at least one ace - Segment in a triangle
In a triangle ABC with the side/AB/ = 24 cm constructed middle segment/DE/ = 18 cm parallel to the side AB at a distance of 1 cm from AB. Calculate the height of the triangle ABC to side AB.
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