Maths practice for 14 year olds - page 259 of 362
Number of problems found: 7230
- Order fulfillment
This company can complete the order in 168 days. The second company is better equipped and can fulfill the order in 120 days. The companies will fulfill the orders together. Determine how long it will take them to fulfill the order and in what proportion - Two numbers
The sum of the two numbers is 1. Find both numbers if you know that half of the first equals one-seventh of the second number. - Testing
Students in high school have 10 points for each good-solved task. Five points deduct the wrong answer. After solving 20 tasks, student Michael had 80 points. How many tasks did he solve correctly, and how many were wrong? - Two unknowns
Determine the numbers x and y so that half of the number x is 30% of the number, and 60% of y is 90. - Powerful pumps
Three equally powerful pumps drain water from a flooded pit in 7 hours. In how many hours would drain water from a pit of 5 equally powerful pumps - Laths
There are two laths in the garage opposite one another: one 2 meters long and the other 3 meters long. They fall against each other and lean against the opposite walls of the garage. Both laths touch at 70 cm above the garage floor. How wide is the garage - Angles
In the triangle ABC, the ratio of angles is α:β = 4:5. The angle γ is 36°. How big are the angles α and β? - Rhombus MATH
Construct a rhombus M A T H with diagonal MT=4 cm, angle MAT=120° - Truncated cone 5
The height of a cone is 7 cm, the length of a side is 10 cm, and the lower radius is 3 cm. What could be the possible answer for the upper radius of a truncated cone? - Isosceles trapezoid
Calculate the area of an isosceles trapezoid whose bases are at a ratio of 5:3. The arm is 6 cm long and 4 cm high. - Truncated cone 3
The surface of the truncated rotating cone S = 7697 meters square, the substructure diameter is 56 m and 42 m, and the height of the tang is found. - Tree shadow 3
A 2-meter rod casts a shadow 3.2 m long. How high is a tree with a shadow of 14.4 m? - Three granaries
Three granaries hold 7,800 metric cents (q) of grain. In the first, 70 tonnes of grain was more than the second, and in the third, it was 120 tonnes less than in the second. How many grains were in each granary? - Pond
Workers will empty a pond with two open floodgates in 20 days. A larger floodgate will empty the whole pond in 30 days. For how long would he be emptied with a smaller floodgate? - View angle
At a distance of 10 m from the river bank, they measured the base AB = 50 m parallel to the bank. Point C on the other bank of the river is visible from point A at an angle of 32°30' and from point B at an angle of 42°15'. Calculate the width of the river - Water channel
The cross-section of the water channel is a trapezoid. The bottom width is 19.7 m, the water surface width is 28.5 m, and the side walls have a slope of 67°30' and 61°15'. Calculate how much water flows through the channel in 5 minutes if the water flows - Decagon area
Find the area of a regular decagon if its side is 10 cm in size. - Inner angles The inner angles of the triangle are 30°, 45°, and 105° and its longest side is 10 cm. Calculate the shortest side length, and write the result in cm up to two decimal places.
- Regular n-gon In a regular n-angle polygon, the internal angle is 144 degrees. Find the number n indicating the number of sides of this polygon.
- Triangle side
I have a circle with a diameter of 6.4 cm. I need to find out the length of the side of an equilateral triangle inscribed in a circle.
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