Maths practice for 14 year olds - page 339 of 362
Number of problems found: 7226
- Semicircle
The semicircle with center S and the diameter AB is constructed equilateral triangle SBC. What is the magnitude of the angle ∠SAC? - Tower
The roof of the tower is a regular hexagonal pyramid with a base edge 5.7 meters long and a height 7 meters. How many m² of the sheet is required to cover the top of the tower? We must add 4% of metal for waste. - House roof
The house's roof is a regular quadrilateral pyramid with a base edge 20 m. If the roof pitch is 38° and we calculate 12% of waste, connections, and overlapping of the area roof, how much m² is needed to cover the roof? - Trapezoid ABCD
Calculate the perimeter of trapezoid ABCD if we know the side c=12, b=19, which is also a height, and side d=32. - Ice cream in cone
The ice cream cone with a diameter of 5.4 cm is 1.2 dl of ice cream. Calculate the depth of the cone. - Cuboid diagonal
Calculate the volume and surface area of the cuboid ABCDEFGH, which sides a, b, and c have dimensions in the ratio of 10:8:9. If you know that the diagonal wall AC is 75 cm, and the angle between AC and space diagonal AG is 30 degrees. - Sector
The perimeter of a circular sector with an angle 0.7 rad is 53 cm. Determine the radius of the circle from which the sector comes. - Flowerbed
On the flowerbed were planted 310 flowers - pansies and crayons during the first week, wilts quarter of pansies and an eighth crayons, which is 20% of all flowers. How many pansies were planted on the flowerbed? - Axial section
The axial section of the cylinder is diagonal 45 cm long, and we know that the area of the side and the base area are in the ratio 6:5. Calculate the height and radius of the cylinder base. - Hexagon A
Calculate the area of a regular hexagon inscribed in a circle with radius r=15 cm. - Slope of the pool
Calculate the slope (ratio rise:run) of the bottom of the swimming pool long 40 m. The water depth at the beginning of the pool is 1.09 m (for children), and the depth at the end is 1.88 m (for swimmers). Calculated slope write it as a percentage and also - Three workers
Three workers, A, B, and C, must work on a specific task. Workers A and B completed the task in 19 days, B with C for 19 days, and A with C for 11 days. How long would it take to complete the task for everyone alone? How long would it take to complete the - Blueberries
Marie earns 2.2 liters of blueberries for 1 hours, and Peter 2.5 liters for 1.5 hours. How long do they pick one liter together? - Two runners
Two runners set off simultaneously toward each other from locations 23.1 km apart. The average speed of the first runner was 1/7 greater than the average speed of the second runner. How long would each take to run 23.1 km, given that they meet after 58 mi - Rectangles - sides
One side of the rectangle is 16 cm longer than a second. Shortening the longer side by 6 cm and extending the shorter by 9 cm increases the rectangle area by 250 cm². What are the dimensions of the original rectangle? - Two valves
Water fills the pool with two valves for 11 days. After 7 days, the workers stopped the first and second valve fill pool for 7 days. How many days did it take to fill the pool of each of the valves individually? - Posters
A column with posters in the form of a cylinder is 2 m high, and its diameter is 1.7 m. What is the area in which it is possible to stick posters? - Scale
The student drew the cylinder in scale 7:1. How many times is the volume of the cylinder smaller in reality? - Simple interest 4
Find the simple interest if 7134 USD at 4.2% for 188 days. Assume a 360-day year. - Simple interest 2
Find the simple interest if 16050 USD at 4.9% for 9 months.
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