Maths practice for 14 year olds - page 163 of 362

Number of problems found: 7228

Roof material calculation
The house's roof has the shape of a regular four-sided pyramid 4 m high with a base edge of 100 dm. We consider 30% of the roofing in addition to the overlap. Calculate how much m² of roofing is needed to cover the roof.
Sailboat
The 20 m long sailboat has an 8 m high mast in the middle of the deck. The top of the mast is fixed to the bow and stern with a steel cable. Determine how much cable is needed to secure the mast and what angle the cable will make with the ship's deck.
The Europe
The map of Europe is made at 1:4000000, and the distance between Bratislava and Paris is 28 cm. When will an airplane flying 800 km/h fly this journey?
Similarity coefficient
In the triangle TMA, the length of the sides is t = 5 cm, m = 3.5 cm, and a = 6.2 cm. Another similar triangle has side lengths of 6.65 cm, 11.78 cm, and 9.5 cm. Determine the similarity coefficient of these triangles and assign similar sides to each othe
Bicycle meeting calculation
Dan and Johnny live 4 km from each other. They agreed to meet on the way between the two homes. Dan went out at 2 p.m. at a speed of 5 km/h. Johnny rode towards him on a bicycle at 15 km/h. What time did they meet, and how far did John travel?
Chord of triangle
If the whole chord of the triangle is 14.4 cm long, how do you calculate the shorter and longer parts?
Beer tapping
When checking compliance with the beer tapping, it was found that 60% of the offered beers were underfilled. The others were fine. Thus, instead of 0.5 l, the volume was 4.4 deciliters on average. What was the volume of one average underfilled beer?
Square side calculation
Calculate the length of the side of the square if the size of the diagonal u = 9.9 cm is entered.
Number sum difference
The sum of 2 numbers, x, and y, is 80, and their difference is 16. Determine the numbers x and y.
Banknote distribution
We have the amount of 1,250 euros in banknotes of 100 and 50 euros. We have a total of 17 banknotes. How many are there?
Goat chicken puzzle
There were goats and chickens in the yard. The total number of heads was 15, and the total number of legs was 40. Calculate the number of hens. Every animal has all its legs.
Hexagonal pyramid
Find the volume of a regular hexagonal pyramid, the base edge 12 cm long and the side edge 20 cm.
Square and circles
The square in the picture has a side length of a = 20 cm. Circular arcs have centers at the vertices of the square. Calculate the areas of the colored unit. Express area using side a.
Cyclist pedestrian pursuit
Behind a pedestrian walking at an average speed of 5 km/h, a cyclist drove from the same place 3 hours later at an average speed of 20 km/h. How long will it take for a cyclist to catch up with a pedestrian?
Audition group distribution
Thirty-five applicants applied for the company's audition. In the first round, they were divided into 3 groups. In the first group, there are 3 people fewer than in the second. In the third, there are 2 more people than in the second. How many candidates
Pyramid wall height
How can you calculate the wall height of a pyramid when you know the base edge length is 28 mm and the body height is 42 mm?
Transformer voltage
The output voltage of the transformer is 880 V. The secondary coil has 1200 turns. Determine the voltage to which the primary coil is connected and how many turns it has if a current of 1 A flows through it. The transformation ratio is k = 4. What current
Transformer coil turns
The bell uses 8 V alternating voltage obtained from the 220 V mains. The secondary coil of the bell transformer has 60 turns. How many turns must the primary coil have? What is the transformation ratio?
Coils of transformer
The transformer's primary coil has 1100 turns and is connected to a voltage of 220 V. How many turns does the secondary coil have when the voltage is 55 V? Find the transformation ratio and decide what kind of transformation.
Coils of transformer
What voltage is generated in the secondary coil of a transformer that has 1,500 turns, if the primary coil is connected to a voltage of 120 V and has 500 turns? What is the turns ratio, and what type of transformation is it?

Do you have unsolved math question and you need help? Ask a question, and we will try to solve it. We solve math question.