Maths practice for 14 year olds - page 113 of 362
Number of problems found: 7236
- Circular segment
What is the radius of a circular section whose central angle is 36° and the area of S = 53.095 cm²? - Circular segment
Calculate the area of a circular segment if the radius r = 80 cm and the central angle is α = 110°. - The number - digits
Vera formed different three-digit numbers from three given digits. When she added up all these numbers, the sum was 1554. What digits did Vera use? - Round table
Find the number of ways in which eight people can be seated at a round table such that 2 of them always sit together. - Two expressions
When x = 3 and y = 5, how much does the value of 3x² – 2y exceed the value of 2x² – 3y? - Gold tin alloy
To make a gold decorative item, we alloy 250 g of 18-carat and 200 g of 14-carat gold with tin. How much tin must be added to obtain 14.6-carat gold? Express the purity of the obtained gold in the sense of the applicable legislation. - Silvia
Silvia is 20% lighter than Katy. What percentage is Katy heavier? - Mushrooms
The ratio of dry matter and water is 1:9 for most mushrooms. Dry matter consists of carbohydrates, proteins, minerals, fat, and water in a ratio of 50:30:8:3:9. How many kilograms of fresh mushrooms need to be processed into a 10 kg package of dried mushr - The tourist
The tourist will cross a 5 km long section in 3 hours. Part of the journey goes at a speed of 0.8 m/s and the other part at a speed of 0.4 m/s. Find the length of the first and second parts of the journey. - Jakub Martin crowns
Jacob and Martin have a total of CZK 950. Jacob has a tenth less than Martin. How much CZK does Jacob have? - A discount
A discount clothing store sells a $72 sport jacket for $24 off the regular price. What is the discount rate? - Park fountain percentage
In the park, with an area of 1413 m2, there is a circular fountain with a diameter of 6 m. What percentage of the park does the fountain occupy? - Pyramid cube melting
They melted the steel part in the shape of a truncated quadrilateral needle and produced three identical cubes. Determine the surface area of one cube if the edges of the bases of the pyramid are 30 mm and 80 mm and the pyramid's height is 60 mm. I don't - Wooden prism
Find the mass of a regular triangular prism made of oak, whose height equals the perimeter of its equilateral triangular base, and whose base is inscribed in a circle with radius 6.M cm (where M is the month of your birth). The density of oak is 680 kg/m³ - Seedlings in a garden centre
In three garden centres they grow roses, pansies, and narcissi. Find out their numbers. a) In the blue garden centre they have in total 200 seedlings. Of these, half are pansies, and pansies with narcissi together make 150. roses: narcissi: pansies: b) In - Isosceles triangle
Calculate the height of the isosceles triangle ABC with the base AB, AB = c = 10 cm, and the arms a = b = 13 cm long. - What is 16
What is the sum of three consecutive even integers such that six more than twice the second is 2/3 of the first increased by 3/2 of the third? - I bought
I bought two bottles of alcohol and two sanitizers for 126 pesos. How much is a bottle of alcohol if the cost of alcohol is five times the cost of sanitizer? - 10 workers
Ten workers will perform the assigned work in 8 days. If six workers work for six days and then another six join them, how long will it take to get the job done? - Rabbits and chicken
There are rabbits and chickens on a farm, 41 heads and 132 legs in all. How many rabbits at the farm?
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