Fractions - practice for 14 year olds - page 32 of 38
Number of problems found: 750
- Triangle 69144
The line p passes through the center of gravity T of the triangle and is parallel to the line BC. What is the ratio of the area of the divided smaller part of the triangle by the line p? What is the area of the triangle? - Hexagonal 66574
The candle is made from wax in the shape of a regular hexagonal pyramid. It has a height of 6.5 cm and a length of the base edge of 3 cm. Find the volume of wax. - Construction 7709
Two construction companies are working on the landscaping. The first would do the whole job in 12 days, the second in 20 days. How long will they work together if the first start working when the second has already worked 4 days? - Height and base
An isosceles triangle has an area of 168 cm², and its added height and base are 370 cm. What are the measurements of its height and base?
- Red balls
The bag has three red, 12 blue, and eight green balls. How many red balls must we add to the bag if we want the probability of pulling out the red balls to be 20%? - Triangular 6610
The curved part of the rotating cylinder is four times larger than the area of its base. Determine the volume of the regular triangular prism inscribed in the cylinder. The radius of the bottom of the cylinder is 10 cm. - Inscribed sphere
How much percent of the cube volume takes the sphere inscribed into it? - Two companies
The family ordered two companies to modify the garden. The first would be done in 20 days; the second would take 40% less time. How long will they work together if the second company started working when the first worked for four days? - Block-shaped 42481
A block-shaped pool that is 25 m long, 12 m wide, and 180 cm deep is to be filled with draft so that the water level is 20 cm below the edge. How long will it take to fill the pool if we use 2 pumps, each with a "power" of 125 l/min?
- Two pumps together
The first pump will fill the tank itself in 3 hours and the second one in 6 hours. How many hours will the tank be full if both pumps are worked simultaneously? - Swimming pool
Thaddeus set off on foot to the swimming pool, which is 18 km from his residence. The trip took him two and a half hours. An hour later, his brother Viliam met him on his bicycle, whose journey took three-quarters of an hour. a) Show the described situati - Prism - right isosceles
Find the volume and surface of a prism with a height of 120 mm, the base of which is a right isosceles triangle with a leg length of 5 cm. - Interest 65494
Martina invested 1,300 euros in the bank, and after a year, the bank credited her with an interest of 26.65 euros. What was the annual interest rate of this bank? - Simple interest 4
Find the simple interest if 7134 USD at 4.2% for 188 days. Assume a 360-day year.
- Triangular 46641
The regular triangular pyramid ABCDV has a base edge length of 8 cm and a height of 7 cm. Calculate the pyramid's surface area and volume. - Reading records
Lucy, Tereza, and Petra decided to compile the compulsory reading records together. It would take 30 days for Lucia alone, 36 for Tereza, and 45 for Petra. How long will it take to make records if they will work together? - Triangular prism
Calculate the surface area and volume of a three-sided prism with a base of a right-angled triangle, if its sides are a=3cm, b=4cm, c=5cm and the height of the prism is v=12cm. - Dices
We will throw two dice. What is the probability that the ratio between numbers on the first and second dice will be 1:2? - Cathethus and the inscribed circle
A right triangle is given one cathetus long 14 cm and the radius of the inscribed circle of 5 cm. Calculate the area of this right triangle.
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