Maths practice for 14 year olds - page 188 of 375
Number of problems found: 7499
- Quadrilateral prism + water
We poured water up to a height of 34 cm into a container of a regular quadrilateral prism with a base edge a = 10.6 cm and a wall diagonal of 3.9 dm. We then inserted a 6 cm long cylinder with a diameter of 10 cm. How many liters of water overflowed? - Scholarship
The annual scholarship for the best and second-best student in the class is 3500 euros. The best student scholarship in 8 months is the same as the second-best student scholar in the class for the whole year. How big is the annual scholarship to be the fi - Baking muffins
Aunt Polly is baking muffins at a speed of 4 muffins per minute. Tom comes into the kitchen when Aunt Polly has 12 muffins and begins to eat these muffins at a speed of 6 muffins per minute. When he finally leaves the kitchen, there are four muffins at th - Panel house
The construction company has two groups of workers. Group A has more members than B. The Panel house was insulated by group A for ten days. They insulated the same block of flats together for 6 days. How many days would group B block insulate? - Cylinder
The 1.8m cylinder contains 2000 liters of water. What is the area (in dm2) of this container is the water? - Express train meeting
At 8:00 a.m., an express train left Bratislava for Poprad, which was 340 km away. At the same time, an express train left Poprad for Bratislava. The express train to Bratislava went at a speed of 80 km/h, and the express train to Poprad went at a speed of - Regular hexagonal pyramid
Calculate the height of a regular hexagonal pyramid with a base edge of 5 cm and a wall height of w = 20cm. Sketch a picture. - Pyramid volume calculation
Calculate the volume of a regular quadrilateral pyramid whose wall height is w = 12cm. - Octagonal pyramid
Find the volume of a regular octagonal pyramid with height v = 100 and the angle of the side edge with the base plane is α = 60°. - System equation solving
Solve the system: 15x + 30y = -20 0.3x-0.2y = 0.4 - Wall area calculation
On the wall, a meter long and v meters high, the door is b centimeters high and d centimeters wide. Please find the general area of this wall. - Tetrahedral pyramid
Determine the surface of a regular tetrahedral pyramid when its volume is V = 120 and the angle of the sidewall with the base plane is α = 42° 30'. - Number proportion sum
Please write the number 140 as the sum of two numbers whose proportion is 3. - Pairs of socks
Ferdinand has twelve pairs of socks, and one sock is leaky. What is the probability of putting on a leaky sock? - Uboid volume
Calculate the cuboid volume if the walls are 30cm², 35cm², 42cm² - Integer sum difference The sum of two integers is three, and their difference is 7. Determine the unknown numbers.
- Hexagonal pyramid surface
A regular hexagonal pyramid has a base inscribed in a circle with a radius of 8 cm and a height of 20 cm. Please sketch the picture. Please calculate the surface of a regular hexagonal pyramid. - Pyramid volume calculation
Please calculate the volume of a quadrilateral pyramid when a = 5cm and the wall height is w = 12cm. - Dog goose puzzle
Dogs and geese ran around the backyard. Together, they had 12 heads and 30 legs. How many geese ran around the backyard, and how many dogs? - Crayon basket calculation
Vendelín has 4/5 the number of colored pencils. But if Maruška took 1/2 of it, there would be 20 crayons left. How many crayons were still in the penalty before Vendelín's collection?
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