Maths practice for 14 year olds - page 204 of 371
Number of problems found: 7417
- Hazelnut 8229
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.
- Triangular 8227
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 10.5cm. 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 = 12cm and pyramid height h = 20cm.
- Quadrilateral 8221
Calculate the height and surface of a regular quadrilateral pyramid with a base edge a = 8 cm and a wall height w = 10 cm.
- Quadrilateral 8220
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.
- Quadrilateral 8219
Calculate the body height in a regular quadrilateral pyramid with a volume V = 163.3 cm3, whose base edge has a size a = 0.7dm.
- 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
- Kilometers 8215
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?
- Children's 8212
The family paid (2 adults and three children) in the museum, and the children spent half the adult entrance fee. How much does the children's entrance fee to the museum cost if Dad paid CZK 315.)
- Reading records
Lucy, Tereza, and Petra decided to compile the compulsory reading records together. It would take 30 days for Lucia alone, 36 for Tereza, and 45 for Petra. How long will it take to make records if they will work together?
- Determine 8202
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
- Competition 8193
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?
- Diagonal 8192
Find the volume and surface of a cube if you know the length of its body diagonal u = 216 cm.
- Accommodated 8189
One hundred sixty-nine pupils were accommodated in 45 rooms at the outdoor school. Some were triple, and some quadruple, and all were fully occupied. How many were triple and quadruple rooms there?
- A jackpot
How many times must I play this jackpot to win? A jackpot of seven games having (1 X 2), i.e., home win or away win.
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