Maths practice for 14 year olds - page 202 of 361
Number of problems found: 7217
- 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 - Reading records
Lucy, Tereza, and Patricia decided to compile the compulsory reading records together. It would take 30 days for Lucy alone, 36 for Tereza, and 45 for Patricia. How long will it take to make records if they will work together? - Distance Between Boats
An observer watches two boats at depth angles of 64° and 48° from the top of the hill, which is 75 m above the lake level. Determine the distance between the boats if both boats and the observer are in the same vertical plane. - The difference
The difference between the two numbers is 1375. If their exact quotient is 12. Find the two numbers - Hexagonal Pyramid Volume
The tops of the base of a regular hexagonal pyramid lie on a circle with a radius of 10 cm. The height of the pyramid is 12 cm. What is its volume? - Carp Fishing Lengths Total
David caught three carp races. The second was 15 cm longer than the first. The third is 8 cm shorter than the second. David entered a total length of 166 cm in the competition. How big a carp did he catch?
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