Maths practice for 14 year olds - page 108 of 369

Number of problems found: 7363

Rabbits and chicken
There are rabbits and chickens on a farm, 41 heads and 132 legs in all. How many rabbits at the farm?
Trapezoid
The rectangular trapezoid ABCD with a right angle at the vertex A has sides a, b, c, and d. Calculate the circumference and the area of the trapezoid if given: a = 25cm, c = 10cm, d = 8cm
Tunnel
Kubo sits on a train speeding at 108 km/h. At that moment, the train enters the tunnel, which, according to Kub's book, is 2 km long. Kubo notices that the end of the train has left the tunnel 75 seconds later than the locomotive has entered the tunnel. W
Consumption 58231
Assume that consumption C depends on income y according to the function C = a + by, where a and b are parameters. The slope of this function is 0.8, and c is €50 when Y is €30. Does it apply to the values of parameters a and b?
Calculate
Calculate the height of a tree that casts a shadow 22 m long if you know that at the same time, a pillar 2 m high casts a shadow 3 meters long.
Production 58191
The worker's daily production after t weeks is given by the function Q (t) = 50-2.7-0.4t. What will be its products in five weeks?
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.

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