Math practice for 13 year olds - page 319 of 422
Number of problems found: 8424
- Calculate chord
A circle k (S, 5cm) is given. Calculate the length of the chord of the circle k if it is 3 cm from the center S. - Carpenter - kitchen
The carpenter leaned the two-meter kitchen counter against the wall. The lower edge is 0.75m away from the wall. At what height from the ground is the board's top edge resting? - Completely 4226
The aquarium is shaped like a cube and is partially filled with water. For Peter, a cube with an edge of 8 cm fell into it and completely sank. The water level in the aquarium rose by 1 cm. What is the volume of the whole aquarium? - Approximately 4222
The equator is approximately 40,000 km long. What would be the gap between an imaginary hoop 40001 km long and the ground? Would a mouse crawl under it? - Hypotenuse 4221
Find the set of points formed by the center of gravity of right triangles with the same hypotenuse (build several possible triangles into one image). - Chocolate roll
The cube of a 5 cm chocolate roll weighs 30 g. How many calories will the identical chocolate roller of a prism shape with a length of 0.5 m whose cross-section is an isosceles trapezoid with bases 25 and 13 cm and legs 10 cm contain? You know that 100 g - Intersection - cars
The tractor drove through the crossroads at a speed of 36 km/h. Ten minutes later, a passenger car moved at 54 km/h. How long and at what distance from the intersection will the car run over the tractor? - The land
The land in the shape of a square has 9 ha. How big a side will the land have at a scale of 1:5000? - Apples
I picked 600 kg of apples this year. Autumn's apples were four times more plentiful than summer's. How many kilograms do I pick in the summer, and how many winter apples? - Unions now
The plant has 1,250 employees. The Trade Unions (former ROH, OH) is 18% male and 23% female. Plant management reported that 20% of all employees are in the trade union. How many men and women are in the plant, and how many are men and women in trade union - Fertilizer
With an area of 1,500 square meters, Meadow was fertilized with 12 kg of urea. Urea contains 45% nitrogen. How much nitrogen accounted for per 1 m²? - Cows
The agricultural cooperative has increased the number of housed cows by 14% to 285 units. How many cows increased the agricultural cooperative number of cows? - Underwater 4189
The water pillar is partly embedded in the ground, partly underwater, and protrudes 55 cm above the water. The length of the part above the water to the length of the part in the water is in the ratio of 1:2. The length of the part above the water to the - Raw meat
The school cafeteria prepares 490 servings of 50 g of boiled meat for one lunch. Meat loses 30% of its weight by cooking. How many kilograms of raw meat must the school canteen prepare for this lunch to cook? - Described 4187
Find the area of the circle that is a) inscribed, b) described 6.32 cm square. - Cuboid easy
The cuboid has the dimensions a = 12 cm, b = 9 cm, c = 36 cm. Calculate the length of the body diagonal of the cuboid. - Rings groups
Twenty-seven pupils attend some groups. Fourteen pupils attend the Dance group, 21 in the sports group, and 16 in the dramatic group. Dance and sporting attend nine pupils, dance and drama six pupils, and sporty and dramatic 11 pupils. How many pupils att - Sale
A camera has a listed price of $751.98 before tax. If the sales tax rate is 9.25%, find the total cost of the camera with sales tax included. - Calculate sphere
Calculate the volume of a sphere with a diameter of 15 cm. - Centimeters 4170
In triangle ABC, we connected the centers of the sides, and we got a smaller triangle with an area of 14 cm². What is the area of triangle ABC in square centimeters?
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