Maths practice for 14 year olds - page 274 of 362
Number of problems found: 7230
- Circle perimeters
An inscribed circle is also described as an equilateral triangle with a side length of 8 cm. How many cm is the perimeter of the inscribed circle smaller than the circumference of the described circle? - Rectangle diagonals
It is given a rectangle with an area of 24 cm² and a circumference of 20 cm. The length of one side is 2 cm larger than the length of the second side. Calculate the length of the diagonal. Length and width are yet expressed in natural numbers. - Diagonals
Given a rhombus ABCD with a diagonal length of 8 cm and 12 cm. Calculate the side length and area of the rhombus. - Phone battery
Mrs. Helen has an old cell phone with nothing to do but makes phone calls. The cell phone will discharge in 72 hours when fully charged and on the phone. Three hours of calling in a row are enough to discharge a fully charged phone. After the last full ch - A stone
There is a stone weighing 60 kg on the billet. The distance from the support point to the stone is 20 cm. The length of the billet is 1 m. Determine the force exerted by the hand at the end of the billet. - 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 - Braking acceleration
At the start of braking, the car had a speed of 72 km h at -1. It stopped on a track of 50 m. What was the acceleration, and how long did the braking last? - Ice cream cone
How many cm² of dough are needed to produce an ice cream cone if it is to hold 0.3 l of ice cream and its height is to be 15 cm. Add 8% for folds. 1. Convert litres into cm³ 2. Decide which data you can calculate first and from what formula. 3. Calculate - Exponent equation
Solve the equation: (4096^x) · 8! = 161280 - Candy - MO
Gretel deploys different numbers to the vertex of a regular octagon, from one to eight candy. Peter can then choose which three piles of candy to give Gretel others retain. The only requirement is that the three piles lie at the vertices of an isosceles t - 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? - 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. - Work together
Michael and Dorota would do the work together in 2.25 hours. If Dorota had to do it herself, it would have taken her 6 hours longer than Michael. Determine when Dorota will do the work herself and when Michael will do it himself. - 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 - 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
Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
