Maths practice for 14 year olds - page 169 of 361
Number of problems found: 7217
- Two hemispheres
In a wooden hemisphere with a radius r = 1, the carpenter created a hemispherical depression with a radius r/2. The bases of both hemispheres lie in the same plane. What is the surface of the created body (including the surface of the depression)? - Pyramid edge calculation
We know a regular quadrilateral pyramid's base diagonal length of u = 4 cm. The height of the pyramid is v = 5 cm. Calculate the size of the side edge and the base edge of the pyramid. - Wire fence
The wire fence around the garden is 160 m long. One side of the garden is three times longer than the other. How many meters do the individual sides of the garden measure? - Park fountain percentage
In the shape of a rectangle, the city park, measuring 125 x 12 m, has a circular fountain with a diameter of 10 m. What percentage of this fountain represents the total area of the park? - Quiz or test
I have a quiz with 20 questions. Each question has four multiple-choice answers, A, B, C, D. THERE IS NO WAY TO KNOW THE CORRECT ANSWER OF ANY GIVEN QUESTION, but the answers are static, in that if the "correct" answer to ; 1 = C, then it will always be e - Average height
There are twice as many girls in the class as there are boys. The average height of girls is 177 cm, and boys 186 cm. What is the average height of students in this class? - Trapezoid section area
The cross-section of the railway embankment is an isosceles trapezoid, the bases of which are in a ratio of 5:3. The arms have a 5 m embankment height v = 4.8 m. Calculate the section area S. - Difference - altitude
The distance as the crow flies between Dolní and Horní Ves is 3 km, and the steady climb is 5%. What is the height difference between Horní and Dolní Ves rounded to the nearest meter? - Half of halves
We cut half of the square off, then half of the rest, etc. Five cuts we made in this way. What part of the area of the original square is the area of the cut part? - Production cost reduction
The cost of production of a particular product decreased first by 15% and then by 10% of the new amount. After this reduction, it cost CZK 153. What were the original production costs? - Prism volume calculation
The prism with a diamond base has one base diagonal of 20 cm and a base edge of 26 cm. The edge of the base is 2:3 to the height of the prism. Calculate the volume of the prism. - Unknown number percentage
27% of the unknown number is 12 fewer than 33% of the same number. Find an unknown number. - Cone hat paper
For his birthday, George made a cone-shaped hat out of paper. The side of this cone is 35 cm long, and the radius of its base is 20 cm. How much dm of paper did George use to make it? Thank you - Triangle angle calculation
In an isosceles triangle, the angle at the primary vertex is 20 ° smaller than twice the magnitude of the angle at the base. What are the interior angles of a triangle? - The angles The angles in the triangle are in the ratio 12:15:9. Find the angles.
- Lenka Lukas age
Helen is three times younger than her brother Luke; they are 20 years old. How old is Helen, and how many are Luke? - Probability
How probable is a randomly selected three-digit number divisible by five or seven? - The coal
The coal stock would be enough to heat a larger room for 12 weeks and a smaller one for 18 weeks. It was heated for four weeks in both rooms, then only in the smaller one. Thus, the coal stock was enough for how long? - The right triangle
The right triangle ABC has a leg a = 36 cm and an area S = 540 cm². Calculate the length of the leg b and the median t2 to side b. - Concentric circles and chord
In a circle with a diameter d = 10 cm, a chord with a length of 6 cm is constructed. What radius has the concentric circle while touching this chord?
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