Maths practice for 14 year olds - page 248 of 382
Number of problems found: 7625
- Sidewalk
Workers will pave a 1-meter-wide sidewalk in the garden with tiles around the block-shaped pool. In the picture, the sidewalk is shown in gray. The dimensions of the bottom of the pool are 8.5 meters and 6 meters. The height of the pool walls is 2 meters. - Find radius
Find the radius of the circle using the Pythagorean theorem where a=9, b=r, c= 6+r - Cube Edge from Surface
Determine the length of the edge of the cube, the surface of which is equal to 60% of the surface of a block measuring 7 cm, 8 cm, 6 cm - Parallelogram Sides Length Ratio
The circumference of the parallelogram is 486 cm. The length of one side is 1.7 times the length of the shorter side. How long are the sides of the parallelogram? - The mayor
The mayor wanted to have the streets of an entire large neighbourhood cleaned. The cleaning would take 8 hours with an older type of vehicle, and 6 hours with a newer type. The vehicles started at once, but to make the cleaning process as quick as possibl - Hotel rooms
In the 45 rooms, there were 169 guests. Some rooms were three-bedrooms and some five-bedrooms. How many rooms were there? - Vegetable stew
The recipe for vegetable stew is recommended to mix tomatoes, peppers, and onions in a ratio of 4:3:1. The cook has already prepared both onions and peppers. In contrast, the onions were five kilograms less than the peppers. How many kilograms of tomatoes - Circle Area from Square
The circle has the same area as the square, whose circumference is 400 m. Calculate the diameter of the circle. - Unknown number x
If 5/18 of some number = 425, what is the value 13/18 of this number? - Cake ratio
On the tray, they had apricot and plum cakes in a ratio of 3:2. After eating three apricot pies, the chance of taking out a plum and apricot was the same. How many cakes were there together on the tray at the beginning? - Tablet Price Before Discount
Karel was saving for a tablet. When he had €178 saved, he discovered that the tablet's price had been reduced by 25%, so he could buy it right away and still have €13 left from the saved money. How much was the tablet before the discount? - Pyramid measurements
The regular quadrilateral pyramid is 2 m high. The height of the sidewall is 2.8 m. What are the dimensions of the base? Calculate the surface area and volume of the pyramid. - Pyramid measurements
A regular hexagonal pyramid has a base edge of 20 cm and a lateral edge of 40 cm. Calculate the height and surface area of the pyramid. - Hydraulic press
A force of 60 N acts on the smaller piston of a hydraulic press, 24 mm in diameter. What is the pressure in the liquid below the piston? How much compressive force is produced on the larger piston with a diameter of 420 mm? - Probability of Encyclopedia
The shelf contains 27 atlases, 29 dictionaries, eight textbooks, and 16 encyclopedias. What is the probability that a randomly selected book from this shelf is an encyclopedia? Give the result as a percentage. - Together
If eight men, ten women, and 16 children collect ₹1,024 in 4 days, how many days will six men, five women, and four boys need to collect ₹768? (₹ is the Indian Rupee.) - Trip Minibus Cost Reduction
The pupils traveled on the trip by minibus, while the cost per participant was 15 euros. If they occupied the last 4 free seats in the minibus, the cost per participant would be reduced by 3 euros. What was the total cost of minibus transportation? - Oranges
The mother divided her three children's oranges in a ratio of 6:5:4. Two children gave 45 oranges. How many oranges were there? - A box
A box is 15 centimeters long, 4 centimeters wide, and 3 centimeters tall. What is the diagonal S of the bottom side? What is the length of the body diagonal R? - Triangle Sides Perimeter
The triangle has a circumference of 35 cm. The first side is four centimeters larger than the second and, at the same time, 1 cm larger than the third side. Determine the sides of the triangle.
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