Maths practice for 14 year olds - page 343 of 379
Number of problems found: 7578
- Water
The lawn has an area 1571 m², rained 5 mm of water. How many liters of water rained? - Tent
A pyramid-shaped tent has a base square with a side length of 2 m and a height of 1.7 m. How many meters of canvas is needed to make it if we should add 10% for waste? - Angles in ratio
The size of the angles of the triangle is in ratio x: y = 7:5, and the angle z is 42° lower than the angle y. Find the size of the angles x, y, and z. - Angles of the triangle
ABC is a triangle. The size of the angles alpha and beta are in a ratio of 4:7. The angle gamma is greater than the angle alpha by a quarter of a straight angle. Determine the angles of the triangle ABC. - Medians in triangle
The median of the isosceles triangle is 3 cm long. If its perimeter is 16 cm, determine the size of its sides. - Painters
One painter could paint a school for seven days. The second one does it for six days. It was necessary to paint the school in two days. The next painter was invited, and all worked together. How long would this painter paint the school itself? - Isosceles trapezoid
The bases of the isosceles trapezoid are in the ratio of 5:3. The arms have a length of 5 cm and height = 4.8 cm. Calculate the circumference and area of a trapezoid.
- Parallelogram
The parallelogram has side lengths in the ratio of 3:4 and a perimeter of 2.8 meters. Determine the sides' lengths. - Sphere
Intersect between the plane and a sphere is a circle with a radius of 60 mm. The cone, whose base is this circle and whose apex is at the center of the sphere, has a height of 34 mm. Calculate the surface area and volume of a sphere. - Three-digit
How many three-digit natural numbers are greater than 321 if no digit in the number is repeated? - The farmer
The farmer harvested 840 tons of grain in 2006, 44% less than in 2005 and one-fifth more than in 2004. How many tons of grain were harvested in the years 2005 and 2004? - Seven tractors
Seven tractors plowed 308 ha field in four days. How many hectares of fields will plow nine tractors in 3 days at the same power? - 3d vector component
The vector u = (3.9, u3), and the length of the vector u is 12. What is, is u3? - Mukls
The six workers' working group would order jobs completed within 21 working days. How many workers must be added to complete a contract in 14 working days? - Painting school
Redecoration school had scheduled for four crew to 10 days. After two days, a single worker was ill. For how many days was the school painted when remain workers working with the same tempo?
- Five tractors
Five tractors plow the field in 4.8 hours. How long would it take to plow this field if, after 1.5 hours of work, two tractors went to a different field? - Wood
Wood contains 12% water. One m³ of wood weighs 650 kg. How many liters of water does it contain? - Uranium ore
Uranium ore contains 0.2% pure uranium, and pure uranium includes 0.07% fissile uranium. How many grams of fissile uranium has 2800 ton of uranium ore? - Cargo
The weight of the cargo car is 761 kg. The car's weight is 23% of the total weight of the car+cargo. What is the weight of the cargo load? - Percentage 1544
Almost 60% of the country's area is permanent crops. 30% of permanent crops are orchards. What percentage of the area of the state is occupied by fruit orchards?
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