Maths practice for 14 year olds - page 311 of 379
Number of problems found: 7575
- Segment in a triangle
In a triangle ABC with the side/AB/ = 24 cm constructed middle segment/DE/ = 18 cm parallel to the side AB at a distance of 1 cm from AB. Calculate the height of the triangle ABC to side AB. - Metals
Play eight teams in the Hockey World Cup and determine how many ways they can win gold, silver, and bronze medals. - Two numbers
The sum of two numbers is 1. Identify these two numbers if you know that half of the first is equal to the third of the second number. - Roll the dice
What is the probability that if we roll the dice, a number less than five falls? - Cylinder-shaped 3037
Nine hundred hectoliters of water were filled into the cylinder-shaped pool. The pool is 1.5 m deep, and its diameter is 10 m. What percentage of the pool volume has the water-filled? - Hexagonal pyramid
Calculate the volume and the surface of a regular hexagonal pyramid with a base edge length of 3 cm and a height of 5 cm. - Raspberries 3034
Find how many raspberries are in the third and tenth baskets, if there are three raspberries in the first and eight raspberries more in each.
- Determine 3033
Andrej, Michal, Patrik, and Juraj together weigh 128 kg. Their weights are in the ratio 1:6:7:2. Determine what weight each of them has. - Numbers 3032
Find three numbers so that the second number is three times larger than the first and the third is six larger than the second number. Their sum is 62 - Consecutive numbers
The sum of four consecutive odd numbers is 240. What are the numbers? - Inscribed circle
XYZ is a right triangle with a right angle at the vertex X and an inscribed circle with a radius of 5 cm. Find the area of the triangle XYZ if XZ = 14 cm. - Prize How many ways can 9 participants be rewarded with the first, second, and third prizes in a sports competition?
- Kilogram 3024
One kilogram of raisins costs a crown, and one kilogram of nuts a crown. They added 5 kg raisins and 3 kg nuts to the mixture. How much does 1 kg of mixture cost? - Octahedron
All walls of the regular octahedron are identical equilateral triangles. ABCDEF octahedron edges have a length d = 6 cm. Calculate the surface area and volume of this octahedron. - Calculate 3019
The height is 5 cm, and the size of the angle that the side of the cone with the base makes is 63 degrees. Calculate the surface and volume of this cone.
- Increased 3018
After an increase of 40%, the notebook cost 10.50 euros. How many euros would this notebook cost if it increased in price by only 30% instead of 40%? - Pupils at cinema
Alena bought movie tickets for two groups of pupils. The first group purchased seven tickets for 1st and five for 2nd place, and she paid 62Kč. The second group bought 11 tickets for 1st and four for 2nd place and paid 82Kč. How much was the ticket for 1s - Tank diameter
A cylindrical tank has a volume of 60 hectoliters and is 2.5 meters deep. Calculate the tank diameter. - Cylinder-shaped 3009
The municipality collects a fee of CZK 500 for 1 m of square billboard space. How much will he earn if he rents a cylinder-shaped column with a diameter of 2 m and a height of 3 m to stick posters? - Excavate 3008
The well will have a diameter of 2 m and a depth of 7 m. How many cubic meters of soil are needed to excavate a well?
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