Maths practice for 14 year olds - page 301 of 371
Number of problems found: 7411
- Inscribed sphere
How much % of the volume of the cube whose edge is 6 meters long is the volume of a sphere inscribed in that cube?
- Rectangle from string
String 12m. Make a rectangle when one side is two times longer than its width.
- Determine 3412
The average age of the siblings Standy, Radek, and Patricia are ten years. Standa is twice as old as Radek, and Patricia is two years younger than Radek. Determine the age of each sibling.
- Wall height
Calculate the surface and volume of a regular quadrangular pyramid if side a = 6 cm and wall height v = 0.8dm.
- Three dice
What is the probability that when we roll three dice, we roll the number 1,2,3?
- Axial cut
The cone surface is 388.84 cm2, and the axial cut is an equilateral triangle. Find the cone volume.
- Pyramid 4sides
Calculate the volume and the surface of a regular quadrangular pyramid when the edge of the base is 4 cm long, and the pyramid's height is 7 cm.
- Sputnik
The first Earth satellite was flying at a speed of 8000 m/s. At that rate, he circled the Earth in 82 minutes. Jet flies at an average speed of 800 km/h. How long would it take to circle the Earth around?
- Traffic cones
Forty identical traffic cones with a base diameter d = 3 dm and height v = 6 dm will be painted orange outside (without the base). If we need 50 cm³ of paint to cover 1 m² and 1 liter of paint costs 80 SKK, how many SKK crowns will we pay?
- Roof 8
How many liters of air is under the tower's roof, which has the shape of a regular six-sided pyramid with a 3,6-meter-long bottom edge and a 2,5-meter height? Calculate the supporting columns occupy about 7% of the volume under the roof.
- Apples
A 2 kg of apples cost a certain sum of money. This sum equals the number of kilograms for which we pay 72 CZK. How much is 1 kg of apples?
- Cylindrical 3395
The cylindrical vase is 28 cm high. Its inner diameter d = 1.1 dm. How many liters of water will fit in it if the bottom thickness is 1.5 cm?
- Cylindrical 3394
The cylindrical container with a diameter of 1.8 m contains 2000 l of water. What height does the water reach?
- Rotating cone
Calculate the volume and the surface area of a rotating cone of base radius r = 2.3 dm and a height h = 46 mm.
- Cube diagonals
If you know the length of the body diagonal u = 216 cm, determine the cube's volume and surface area.
- Wednesday 3391
On Monday, three pupils were missing from the class, 12% of the total number of pupils. How many pupils were missing on Wednesday if 84% of all pupils were in school?
- Algebrogram
Solve cryptarithmetic (alphametics) for a sum of three numbers: BEK KEMR SOMR ________ HERCI
- Pyramid
The pyramid has a base rectangle with a = 6cm and b = 8cm. The side edges are the same, and their length is 12.5 cm. Calculate the surface of the pyramid.
- Three-quarters 3384
The sum of the two numbers is 75. Find these numbers. Three-quarters of the first are one-seventh of the second.
- Intersection 3383
A regular 15-angle is given. A triangle is formed if we connect points 3 and 7, 13 and 10. The vertices are 3 and 13, and the lines' intersections are 3.7 and 13.10. We are to determine the angle size formed by sides 3.7 and 13.10. These numbers indicate
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