Maths practice for 14 year olds - page 327 of 379
Number of problems found: 7575
- Tickets
The football tournament ticket cost 45 CZK for standing and 120 CZK for sitting. Sitting spectators were 1/3 more than standing. The organizers collected a total of 12300 CZK. How many seated and standing seats (spectators)? - Park
In the park is a marked diamond-shaped line connecting locations A, D, S, C, B, and A. Calculate its length if |AB| = 108 m, |AC| = 172.8 m. - Cube 9
What was the cube's original edge length after cutting 39 small cubes with an edge of 2 dm left 200 dm³? - Umbrella
Can a 75 cm umbrella fit into a box of fruit? The box's dimensions are 390 mm by 510 mm. - Acreage
What acreage has a rectangular plot whose diagonal is 34 meters long, and one side has a length of 16 meters? ... - Reciprocal equation
Determine the root of the equation: 9/x-7/x=1 - Katy MO
Kate drew a triangle ABC. The middle of the line segment AB is marked as X, and the center of the side AC is marked as Y. On the side BC, she wants to find point Z so that the area of a 4gon AXZY is the greatest. What part of the ABC triangle can maximall
- Right triangles
How many right triangles we can construct from line segments 3,4,5,6,8,10,12,13,15,17 cm long? (Do not forget the triangle inequality). - Metal box
How much metal do we need to produce in a box with dimensions of 5 dm, 30 cm, and a height of 1 m? Add 12% of the waste and fold. - Pine wood
We cut a carved beam from a pine trunk 6 m long and 35 cm in diameter. The beam's cross-section is in the shape of a square, which has the greatest area. Calculate the length of the sides of a square. Calculate the volume of lumber in cubic meters. - Trapezoid
The area of a trapezoid is 135 cm². The sides a, c, and height h are in a ratio of 6:4:3. How long are sides a, c, and height h? Perform calculation. - Average mark
Calculate the average mark in English if a student got a couple of 3's, 20% less two than 3, and 50% more 1's than the 2's. - Lathe
Calculate the percentage of waste if the cube with 53 cm long edge is lathed to the cylinder with a maximum volume. - Air pressure
The meteorological station measured the air pressure of 1060 hPa (hectopascals). In addition to measuring instruments, there is a residential house with a flat roof with dimensions of 10 m and 28 m. What pressure force in MN (meganewtons) from the air on - Rain
The empty barrel with a radius of 8 dm and height of 1.2 m rain filled to 75% of its capacity. How many mm of water rained on the roof space of 75 m²
- Aluminum wire
Aluminum wire of 3 mm diameter has a total weight of 1909 kg and a density of 2700 kg/m³. How long is the wire bundle? - Cuboid
The volume of the cuboid is 245 cm³. Each cuboid edge length can be expressed by an integer greater than 1 cm. What is the surface area of the cuboid? - Rhombus IV
Calculate the length of the diagonals of the rhombus, whose sizes are in the ratio of 1:2 and a rhombus side is 35 cm. - Broken tree
The tree was 35 meters high. The tree broke at a height of 10 m above the ground. Top, but does not fall off. It is refuted on the ground. How far from the base of the tree lay its peak? - Journey
Charles and Eva stand in front of his house. Charles went to school south at a speed of 5.4 km/h, and Eva went to the store on a bicycle eastwards at 21.6 km/h. How far apart are they after 10 minutes?
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