Examples for secondary school students - page 157 of 230
Number of problems found: 4597
- Potatoes 6
The farmer brought potatoes to the market. In the first hour, he sold two-fifths of the potatoes, in the second hour, he sold five-sixth of the remaining potatoes, and in the third hour, he had sold the last 40kg of potatoes. How many kilograms of potatoe - Math test
Students wrote a math test. The average number of points obtained by them was 64. Another student wrote this test for 80 points. If the teacher added his result to the original ones, the total average of all students would be 65. How many students origina - Empty canister
The canister is filled with oil and weighs 17 kg. Suppose only half is filled, weighing 9 kg. What weight does my empty canister have? - Production 4704
The monthly production schedule of the two companies totaled 360 machines. When the first company met its plan at 105% and the second at 117%, the two companies produced 402 machines. Determine the original monthly schedules of both businesses. - Three-digit code
The five cards with the numbers 1, 2, 3, 4, and 5 put together all three-digit odd numbers. How many are there? - Circular 4690
The cone shell with a base radius of 20 cm and a height of 50 cm unfolds into a circular cutout. How big is the center angle of this cutout? - Calculate 4689
The area of the rotating cone shell is 240 cm2, and the area of its base is 160 cm². Calculate the volume of this cone. - System 2xy
Solve the system: (x + 5) (y-2) = (x-1) (y + 1) (x + 1) (y + 1) = (x + 5) (y-1) - Graphic solution
Solve the system by the graphical method: x + y = 8 2x-y = 1 - Trapezoid - central median
The central median divides the trapezoid into two smaller trapezoids. Find the ratio of its areas. - Probability 4665
We have three series of products. We select one product for quality control. Determine the probability of finding a low-quality product if the first batch contains 2/3, the second batch 7/9, and the third batch 3/4 quality products. - How far
From the top of a lighthouse 145 ft above sea level, the angle of depression of a boat is 29°. How far is the boat from the lighthouse? - Substitution 4644
Solve the system of equations by substitution, comparison, and addition method and perform the test: 4x + y = 5 3x-5y = 21 - Rhombus
One angle of a rhombus is 136°, and the shorter diagonal is 8 cm long. Find the length of the longer diagonal and the side of the rhombus. - Cells - guts
Guts (a single-celled organism) under ideal conditions divides into two littles every 27 hours on average. How many would there be in 7 days if all the childs remained alive? - Probability
An experiment was conducted, consisting of crossing white and purple peas, assuming that the experimental plants had not been previously crossed. According to the rules of inheritance, it can be expected that 3/4 of the new offspring will bloom purple and - Seagull
An artificially created island in the shape of a circle with a radius of 50 m is overgrown with grass. The only exception is a landing area for helicopters in the shape of a rectangle measuring 15 m and 8 m. What is the probability that the flying seagull - Rectangular trapezoid
The rectangular trapezoid ABCD is: /AB/ = /BC/ = /AC/. The length of the median is 6 cm. Calculate the circumference and area of a trapezoid. - Elements
If the number of elements is decreased by two, the number of permutations is decreased 30 times. How many elements are? - Percentage 4619
Concert tickets have risen in price from € 18 to € 24. What percentage did they increase in price?
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