Maths practice for 14 year olds - page 108 of 370

Number of problems found: 7388

Resistance 58091
Does the copper conductor have a resistance of 2.8Ω at 36 °C? What will be the resistance value after cooling to -22 °C?
Cooker spiral
A current of 4.4 A flows through the spiral of the electric cooker. It is connected to a voltage of 220 V. What is the resistance of the spiral?
Children 58031
The children talked about how they spent the holidays at school. 2/3 of them were on holiday with their parents. There were ten children by the sea, which is 5/8 of those who were on vacation. How many children are in the class of children?
Acceleration 58021
The runner reaches a speed of 30 km/h after 3 seconds from the start. Determine its acceleration.
Balls in row
Calculate the number of ways of placing four black balls, four turquoise balls, and five gold balls in a row.
Squares
Cut out the square with the integer side from the square with the integer side so that the residual area is 100. What is the longest possible side of the larger square?
The temperature 18
The temperature at 12:00 PM was 43°F. Over the day, the temperature decreased by 3.5°F per hour. What was the new temperature at 6:00 PM?
Discount
If someone gives you a discount on "X" at 5% for 60 days. Then the discounted amount is 80000. find the actual amount? Discounted Amount=80000 rate=5% Period=60 days Actual amount=?
The sales 2
The sales tax in your city is 8.8 percent, and an item costs 55 USD before tax. How much tax would you pay on that item?
Full tank
Jakub pumps a full tank into his motorcycle and leaves. On the way to the city, it consumes 11/16 tanks and back 3/5 of the rest. What percentage of the fuel will remain in the tank?
Manganin
How long must a manganin wire with a diameter of 0.8 mm have a value of 10Ω?
24carat gold
The goldsmith cast 22-carat gold and 14-carat gold and earned 20 dkg of 18-carat gold. How much gold did he use?
Two angles 2
Two angles of a triangle have the same measure, and the third one is 45 degrees greater than the measure of the other two. Find the measure of the largest angle in the triangle.
Sides in ratio
The sides of the triangle are in a ratio of 2:6:5. Find the dimensions of the remaining sides if the longest side is 32 cm.
Trapezoid and diagonals
Find the area of a trapezoid with bases a = 24 cm, c = 16 cm, and diagonals u = 22 cm, v = 26 cm.
Mountains 57433
The trip to the seaside vacation was as follows: 80% of the entire route was on the plain. 40% of the rest was through the mountains. The remaining 180 km was along the coast. What is the total length of the route? Thank you
School student
The probability that a school student has a skateboard is 0.34, the probability that he has a bicycle is 0.81, and the probability that he has a skateboard and a bicycle is 0.22. What is the probability that a randomly selected student has a skateboard or
Similarity of triangles
If triangle ABC ~ to triangle XYZ, AC = 24, AB = 15, BC = 17, and XY = 9, what is the perimeter of triangle XYZ? Round all sides to 1 decimal place.
Gale and spruce
A mighty gale broke the top of the fifteen-year spruce, resting it on the ground. The distance of this top from the trunk was 4.6 m below. At what height was the spruce trunk broken?
Train
Find the average speed of a train (in km/h) that passes a telegraph pole in 7 seconds and passes a 378 m platform in 25 seconds. How long is the train?

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