Maths practice for 14 year olds - page 202 of 362
Number of problems found: 7230
- Circle Area from Diagonal
Calculate in cm² the area of a circle whose diameter is equal to the length of the diagonal of a square ABCD with a side of 4 cm. - Candidates
The citizens of Kocúrkovo elected a mayor from two candidates. The winning candidate received 51% of all votes, which was 12 votes more than the defeated candidate received. 75% of all eligible voters came to the vote and all votes were valid. How many ci - Masquerade ball
Marie wants to make a cone-shaped witch's hat for a masquerade ball. How much material will it need if it counts on an annular rim with diameters of 28 cm and 44 cm? The hat side length is 30 cm. Add 5% of the material to the bust. Round to cm². - Seating Arrangement Condition
How many different possibilities exist for settling friends A, B, C, D, E, and F in six seats if A wants to sit next to C? - Ski trip accommodation
159 pupils took part in the ski trip and were accommodated in 3 winter huts marked letters A, B, and C, 8 more pupils were accommodated in cottage B than in cottage A, and 14 more pupils were accommodated in cottage C than in cottage B. How many pupils we - Bookshelf and books
How many ways can we place seven books on a bookshelf? - Four-Digit PIN Codes
How many 4-digit numeric pin codes can be created so that not all four digits are identical? - Candy box distribution
There are cherry, hazelnut, and milk candies in a 60-piece candy box. There are 2 times nuttier than cherry and 20 times more milky than nutty. How many candies of each type are in the box? - Prism 4 sides
The prism has a square base with a side length of 3 cm. The diagonal of the sidewall of the prism (BG) is 5 cm. Calculate the surface of this prism in cm square and the volume in liters. - Weight of Gold Pyramid
The teacher cast the gold in the shape of a regular triangular pyramid with a base edge length of 12 cm and a height of 8 cm. The density of gold is 19,320 kg/m³. What is the weight of the casting? - Castle tower
The castle tower has a cone-shaped roof with a diameter of 10 meters and a height of 8 meters. If we add one-third to the overlap, calculate how many m² of coverage is needed to cover it. - Probability of intersection
Three students have a probability of 0.7,0.5, and 0.4 to graduate from university, respectively. What is the probability that at least one of them will be graduated? - The diagram 2
The diagram shows a cone with a slant height of 10.5 cm. If the curved surface area of the cone is 115.5 cm². Calculate to correct three significant figures: *Base Radius *Height *Volume of the cone - Pyramid height
Find the volume of a regular triangular pyramid with edge length a = 12 cm and pyramid height h = 20 cm. - Pyramid Height and Surface
Calculate the height and surface of a regular quadrilateral pyramid with a base edge a = 8 cm and a wall height w = 10 cm. - Pyramid Volume Wall Height
Calculate the volume of a regular quadrilateral pyramid, whose wall height is w = 12 cm and the edge of the base is a = 5 cm. - Pyramid Volume Height Calculate the body height in a regular quadrilateral pyramid with a volume V = 163.3 cm3, whose base edge has a size a = 0.7 dm.
- Friction coefficient
What is the weight of a car when it moves on a horizontal road at a speed of v = 50 km/h at engine power P = 7 kW? The friction coefficient is 0.07 - Scout trip distance
The scout troop covered a total of 28 km on the three-day trip. On Sunday, he walked twice as long as on Friday, and on Saturday, he walked 4 km longer than on Friday. How many kilometers did the scout troop walk each day? - Pyramid model
Peter brought back from his vacation in Egypt a model pyramid in the shape of a regular quadrilateral pyramid. He measured that its base edge has a length of 7 cm and the lateral edge has a length of 10 cm. The model has a mass of 1 kg and is made of an u
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