Math practice for 13 year olds - page 314 of 413
Number of problems found: 8254
- Equator hoop
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? - Center of gravity
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? - Direct indirect proportion
Decide if the variables are in a relation of direct or indirect proportionality. 1st variable 2nd variable does not change: a) number of bottles of syrup amount paid for them price per 1 bottle b) length of the side of a rhombus length of the correspondin - 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
A meadow with an area of 1,500 m² was fertilised with 12 kg of urea. Urea contains 45% nitrogen. How much nitrogen was applied 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? - 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? - 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. - Symmetry
Eve loves symmetry in shapes and numbers. Yesterday she invented an entirely new kind of symmetry - divisible symmetry. She wrote all five-digit numbers with different digits with the following property: The first digit is divisible by 1, the second by 2, - 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. - Models
On the catwalk there are three models: Miss Pink, Green, and Blue. Each of them is wearing a single-coloured dress: pink, green, and blue. "Strange," said Miss Blue. "We are called Pink, Green, and Blue, our dresses are pink, green, and blue, but none of - Calculate sphere
Calculate the volume of a sphere with a diameter of 15 cm. - Triangle area
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? - Book discount
Jurko bought the book for € 9.60. He found out that he bought it with a 36% discount. How many euros did Jurko save? - Class students
3/4 of the class went skiing. Of those who stayed home, 1/3 fell ill, and the remaining 6 were at a math camp. How many students does the class have? - Rectangle diagonals
Calculate for me the length of the diagonal of a rectangle whose size is 7 cm greater than its width and whose perimeter is 34 centimeters. The dimensions of the rectangle are expressed in natural numbers.
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