Examples for secondary school students - page 122 of 231
Number of problems found: 4613
- Three workers
The three workers received € 2,850 together for the work done. They divided it according to the time worked, so the first received 20% less than the second and the third € 50 more than the second. Thus, each worker received € 2,850. - Securities profit tax Mr. Vlaško bought securities for 30,000 euros. The year he sold them, they were 15% more expensive. Mr. Vlaško paid a 15% tax on this profit. How much tax did he pay?
- Rectangle Garden Area Diagonals
The length of the sides of the rectangular garden is 4:3. The junction of the centers of adjacent sides is 20 m long. Calculate the area of the garden. - Two gears
The gearbox will use a large gear to turn a smaller gear. The large gear will make 75 revolutions per minute, while the smaller gear must make 384 revolutions per minute. Find the smallest number of teeth each gear could have. [Hint: Use either GCF or LCM - Calculate 3
Calculate the cube volume whose edge is 3x-1,3x-1,3x-1 - Car and motorcyclist
A car and a motorcyclist rode against each other from a distance of 190 km. The car drove 10km/h higher than the motorcyclist and started half an hour later. It met a motorcyclist in an hour and thirty minutes. Determine their speeds. - Lee is
Lee is eight years more than twice Parker's age. Four years ago, Lee was three times as old. How old was Lee 4 years ago? - Rectangular plot
The dimensions of a rectangular plot are (x+1)m and (2x-y)m. If the sum of x and y is 3m and the plot's perimeter is 36m. Find the area of the diagonal of the plot. - Two Numbers Square Relation
Two numbers are guessing. The second number is five times greater than the first number, and the square of the first number is equal to 3/5 of the second number. Find the sum of the two numbers and all its divisors. - Mark franc exchange
Ms. Vítovcová and Ms. Kupcová went to Paris for a few days. Mrs. Vítovcová exchanged 30 marks and 100 francs at the exchange office and paid a total of 1,200 CZK. Ms. Kupcová paid a total of CZK 1,400 for 10 marks and 200 francs. How many crowns was the m - Cake discount percentage
The store sells 3 types of cakes: poppy, cottage cheese, and jam. They all cost the same. As of yesterday, the following offer applies: If you buy any 8 of these cakes, you will pay for only 5. How much percent less will I pay now for 8 of these cakes? - Rectangular triangle
The lengths of the rectangular triangle sides with a longer leg of 12 cm form an arithmetic sequence. What is the area of the triangle? - Tangent spheres
A sphere with a radius of 1 m is placed in the corner of the room. What is the largest sphere size that fits into the corner behind it? Additional info: Two spheres are placed in the corner of a room. The spheres are each tangent to the walls and floor an - Three shooters
Three shooters shoot, each time, on the same target. The first hit the target with 0.7, the second with 0.8, and the third with 0.9 probability. What is the probability of hitting the target: a) just once b) at least once c) at least twice - Rectangular field
A rectangular field has a diagonal length of 169m. If the length and width are in the ratio of 12:5. Find the field's dimensions, the field's perimeter, and the field's area. - Cuboid Dimensions Ratio Surface
The base of a cuboid is a rectangle. The ratio of its length to width is 3:2. The length of the rectangle of the base is in the ratio of 4:5 to the height of the block. The sum of the lengths of all the edges of the block is 2.8m. Find: a) the surface of - Internet anywhere
In school, 60% of pupils have access to the internet at home. A group of 8 students is chosen at random. Find the probability that a) exactly 5 have access to the internet. b) At least six students have access to the internet - Tetrahedral pyramid
Calculate the surface S and the volume V of a regular tetrahedral pyramid with the base side a = 5 m and a body height of 14 m. - Word Arrangement VODA Together
How many words can be created from the word KLADIVO if we want the word VODA to be written next to each other? - Children playground
The playground has a trapezoid shape, and the parallel sides have a length of 36 m and 21 m. The remaining two sides are 14 m long and 16 m long. Find the size of the inner trapezoid angles.
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