Maths practice for 14 year olds - page 352 of 361
Number of problems found: 7215
- Diagonal
Determine the dimensions of a cuboid whose space diagonal is 60 dm and makes an angle of 35° with one edge and 77° with another edge. - Cone A2V
The lateral surface of a cone, when unrolled flat, forms a circular sector with a central angle of 126° and an area of 415 cm². Calculate the volume of the cone. - Axial section
The axial cross-section of a cone is an equilateral triangle with an area of 208 km². Calculate the volume of the cone. - Rotation
A right triangle with legs 11 cm and 18 cm is rotated around the longer leg. Calculate the volume and surface area of the cone formed. - Right
Determine the angles of a right triangle with hypotenuse c and legs a and b, if: 2a +5b = 5.283c - Right isosceles
Calculate the area of an isosceles right triangle whose perimeter is 26 cm. - Euclid1
The right triangle ABC has hypotenuse c = 20 cm. How large sections cut height hc=9 cm on the hypotenuse c? - Discount
The product has been discounted twice by 15%. What is the total discount given? - Hole
We will drill the cylinder shape hole in the cube's center with an edge 16 cm. The volume of the hole must be 10% of the cube. What should drill diameter be chosen? - Pyramid roof
3/5 of the lateral surface area of a regular quadrilateral pyramid with base edge 9 m and height 6 m has already been covered with roofing. How many square metres still need to be covered? - Cubes
Cube, which consists of 8 small cubes with edge 1 dm, has volume: - Right triangle
Right triangle ABC has side a = 10 and area S = 50. Calculate the lengths of the remaining sides. - Square diagonal
Calculate the length of the diagonal of a square with side a = 11 cm. - Pool
The swimming pool is 10 m wide and 8 m long, and 153 cm deep. How many hectoliters of water are in it if the water is 30 cm below its upper edge? - Numbers
Determine the count of all positive integers less than 4064028 that are divisible by 5, 23, 2. What is their sum? - Circles
The areas of two circles are in the ratio 5:10. The larger circle has a diameter of 14. Calculate the radius of the smaller circle. - Climb
A road has a gradient of 1:26. What angle of inclination does this correspond to? - Lines
How many points will intersect 27 different lines where no two are parallel? - Pentagon
Calculate the area of a regular pentagon whose diagonal has length u = 18. - Compass
What is the angle between compass directions J (Juh) and ZSZ (ZápadoSeveroZápad)?
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