Examples for secondary school students - page 120 of 230
Number of problems found: 4582
- Balloon and bridge
From the balloon, which is 92 m above the bridge, one end of the bridge is seen at a depth angle of 37° and the second end at a depth angle of 30° 30 '. Calculate the length of the bridge. - Company and employees
There are 370 employees in the company - women are 15% less than men. How many men work in the company? - Perimeter 7882
The diagonals of the diamond are 2.4 dm and 1.8 dm long. What is the perimeter of this diamond? - Embankment 7879
An embankment 7.5 m high should be built on the horizontal plane. The width of the upper surface of the embankment is 2.9 m, and the slope is 35 °. What will be the lower width of the embankment? - Difference 7873
Find the first term and the difference of the sequence for which it holds: a1 + a6 = 39; a10 - a4 = 18 - Described 7872
In the KLM isosceles triangle, the KL base is 24 cm long, and the arm measures 15 cm. What is the radius of the circle described by this triangle? - Average temperature
The average temperature from Monday to Sunday was 40.5°F, and the average temperature from Monday to Saturday was 42.8°F. What was the temperature on Sunday?
- Liters 7869
There are a total of 1309 liters of oil in the two tanks. In the second, there are 4.5 times more than in the first. How many liters of oil are in each tank? - The sum AP with rule
Find the sum of all natural numbers between 1 and 100, which are divisible by 2 or 5 - The size
The size of a Trapezium are 3/4*x cm, x cm, 2*(x+1) cm and 3(x+2) cm long respectively. If its perimeter is 60cm, calculate the length of each side. - Different 7860
How many different triplets can be created from 4 pupils if it does not matter the order of the pupils in the triplets? - Mast shadow
The mast has a 13 m long shadow on a slope rising from the mast foot toward the shadow angle at an angle of 15°. Determine the height of the mast if the sun above the horizon is at an angle of 33°. Use the law of sines. - Lampshade 7846
Lampshade for the face of a truncated cone with a height of 20 cm. The upper diameter of the shade is 13 cm, the lower 36 cm, and the side forms an angle of 60 degrees with the lower diameter. At least how much fabric is needed to make this shade? - Pyramid-shaped 7820
The pyramid-shaped tent has a square base with a side size of 2.2m and a height of 1.8m. How many square meters of tent canvas are needed to make it if we count an extra five percent for the foundation? - The observatory
The dome of the hemisphere-shaped observatory is 5.4 meters high. How many square meters of sheet metal need to be covered to cover it, and must we add 15 percent to the minimum amount due to joints and waste?
- Quadrilateral 7815
The area of a regular quadrilateral pyramid's mantle is equal to twice its base's area. Calculate the pyramid's volume if the base edge's length is 20 dm. - 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 7805 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?
- Rectangular 7801
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
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