Maths practice for 14 year olds - page 163 of 361
Number of problems found: 7217
- 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?
- Coils of transformer The primary coil of the transformer has 400 turns. A current of 1.5 A passes through it and is connected to a voltage of 220 V. For the secondary coil, find the voltage, current, and number of turns if the transformation ratio k = 0.1.
- Transformer Transformer - U1 = 230 V, N1 = 300, N2 = 1,200, I1 = 4 A. Calculate the secondary coil's transformation ratio, voltage, and current.
- Baking cakes
Anička and Ema baked cakes together. Ema baked one third more cakes than Anička. Anička kept one third of the cakes for herself, Ema kept half of the cakes she baked. The remaining 12 cakes they gave to their parents. 1) Determine how many cakes Anička an - Candy mixture calculation
Clara mixed a mixture of candies of two types: Ham, ham candies at the price of CZK 210 per 1 kg, and Yum, Yum candies at CZK 150 per 1 kg. She mixed the candies so that the mixture of ham, ham, yum, and yum weighed 10 kg, and the price for 1 kg of the mi
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