Maths practice for 14 year olds - page 283 of 309
Number of problems found: 6173
- Logs
The log has a diameter of 30 cm. What largest beam with a rectangular cross-section can be carved from it?
- Obtuse angle
Line OH is the height of the triangle DOM, and line MN is the bisector of angle DMO. the Obtuse angle between the lines MN and OH is four times larger than the angle DMN. What size is the angle DMO? (see attached image)
- Parcel
Both dimensions of the rectangular parcel were increased by 31%. By how much % has it increased its acreage?
- Circles
The area of a circle inscribed in a square is 7. What is the area of a circle circumscribed around a square?
- Cuboid
Cuboid ABCDEFGH with 10 cm height has a base edge length 6 cm and 8 cm. Determine the angle between the body diagonal and the base plane (round to degrees).
- Meat
Half a kilogram of pork and three-quarters of a kilogram of beef cost a total 5.1 USD. One-quarter of a kilogram of beef and 1 kilogram of pork costs 4.9 USD. Find the price of 1 kg of each type of meat.
- Product - quadratic equation
The product of the two numbers is 900. If we increase the lowest number by two, its product will increase by 150. Determine both numbers.
- Children
Less than 20 children played various games in the yard. They can create pairs, trios, and quartets. How many children were in the yard when Annie came to them?
- Cottages
The summer camp has 41 cottages. Each has rooms for three and four. How many of the 140 campers live on three?
- Building elevation angle
In the building, I focused at an angle 30°. When I moved the 5 m building, I focused at an angle 45°. What is the height of the building?
- Square roots
What is equal to the product of the square roots of 295936?
- Tree
How tall is the tree observed at the visual angle 45°? If I stand 3 m from the tree, my eyes are two meters above the ground.
- Line
Write an equation of a line parallel to To 9x + 3y = 8 That Passes Through The Point (-1, -4). Write in the form ax+by=c.
- Workers
Workers are digging a jump pit in the schoolyard. The pit is cuboid in shape, with a length of 5 m, a width of 20 dm, and a depth of 36 cm. They excavate 0.4 cubic meters of soil an hour. How much time (hours and minutes) is needed to excavate this pit?
- ISO Triangle V2
The perimeter of the isosceles triangle is 474 m, and the base is 48 m longer than the arms. Calculate the area of this triangle.
- Product V2
The price of the product was increased by 12%. Price increased by 273. How much money would this product cost if it was, on the contrary, by 19% discounted?
- Triangular prism
The base perpendicular triangular prism is a right triangle whose hypotenuse measures 14 cm and one cathetus 9 cm. The height of the prism is equal to 2/9 of the base's perimeter. Calculate the surface area of the prism.
- ISO trapezoid v2
The bases of the isosceles trapezoid are measured 20 cm and 4 cm, and their perimeter is 55 cm. What is the area of a trapezoid?
- Wheel
The diameter of the motorcycle wheel is 55 cm. How many times rotates the wheel on the road long 3 km?
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