Maths practice for 14 year olds - page 263 of 382
Number of problems found: 7625
- Tournament
Six teams entered the basketball tournament. How many matches will be played if each team has to play one match with the other? - Triangle center
The height in the equilateral triangle ABC measures the square root of 3 cm. What is the length of the center bar of this triangle? - Mowing Lawn with Mowers
The football club owns five identical mowers. If they used two of them, they would mow the playground lawn in 10 hours. How long would it take to mow the lawn if they used all five mowers? - Fence and scale
The garden with 80 m of fencing is drawn on a plan as a square with a side length of 4 cm. At what scale is this plan made? - Triangle RT - land
The land in the shape of a right triangle has an area of 96 m². How many meters of mesh do we need to fence if one of its sides is 12 meters long? - Beam diameter
What diameter must the trunk of a tree have to carve a beam with a square cross-section of 20 cm on it? - Heating Water with Coils
The smaller heating coil heats the water in 30 hours and the larger one in 20 hours. How long will it take to heat the water if both coils are switched on simultaneously, but the smaller coil breaks down after 8 hours? - Girls in Chess Group
The chess group consists of eight boys, representing 40% of all group members. How many girls go to the chess ring? - Motorcycle speed
Determine the average speed of a motorcycle ridden 1/3 of the total ride speed at 30 m/s and 2/3 of the total ride speed at 15 m/s. - Orange colour
For the painter to get orange, he has to mix yellow and red in a ratio of 3:4. If he used 8 liters of red, how many liters of orange did he mix? - Trapezoid Height from Area
The bases of the trapezoid are 12 cm and 8 cm long. The area of this trapezoid is 40 cm². What is its height? - Diamond diagonal
The pool has the shape of a rhombus with a side 20 m long. One diagonal is 32 meters. What is the second diagonal? - Block weight
The block measuring 20 cm, 10 cm, and 8 cm weighs 80 grams. What is the weight of a block made of the same material, the edges of which are half the length? - Cube measurements
The cube has a wall area of 81 cm². Calculate the length of its edge, wall, and solid diagonals. - Gymnasium - classes
Half of the 9th-grade students want to study at secondary technical schools, a quarter at vocational schools, a sixth at gymnasiums, and 3 students do not wish to continue their studies. How many pupils are there in the class? - Quadrangular pyramid
Calculate the surface area and volume of a regular quadrilateral pyramid: sides of bases (bottom, top): a1 = 18 cm, a2 = 6 cm angle α = 60 ° (Angle α is the angle between the sidewall and the base plane.) S =? , V =? - Cube edges
Find the cube edge length (in centimeters) that has a surface and volume expressed by the same numeric value. Draw this cube at a scale of 1:2. - Tax price
The product, burdened with 20% taxes, was sold for 600 CZK. How much would you sell for 10% of taxes? - Cube measurements Calculate the area of one cube wall and the wall diagonal of a cube if its volume equals 1728 cubic centimeters.
- Girl weights
Sandra weighs the same as Markéta and 3 kg less than Justýna. All three together weigh 156 kg. How many kilograms does each girl have?
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