Maths practice for 13 year olds - page 333 of 342
Number of problems found: 6832
- Estate
Semicircle estate must be a fence. The straight section has a 26 meters long fence. How many meters of the fence should we buy? - Square 2
Points D[10,-8] and B[4,5] are opposed vertices of the square ABCD. Calculate the area of the square ABCD. - Square
Points A[9,9] and B[-4,1] are adjacent vertices of the square ABCD. Calculate the area of the square ABCD. - Gimli Glider
Aircraft Boeing 767 lose both engines at 42000 feet. The plane captain maintains optimum gliding conditions. Every minute, lose 1910 feet and maintain constant speed 211 knots. Calculate how long it takes for a plane to hit the ground from engine failure.
- Cubes
One cube is an inscribed sphere, and the other one is described. Calculate the difference of volumes of cubes if the difference of surfaces in 231 cm². - Cone A2V
The cone's surface in the plane is a circular arc with a central angle of 126° and area 415 cm². Calculate the volume of a cone. - Axial section
The axial section of the cone is an equilateral triangle with an area 208 m². Calculate the volume of the cone. - Rotation
The right triangle with legs 11 cm and 18 cm rotates around the longer leg. Calculate the volume and surface area of the formed cone. - Right isosceles
Calculate the area of the isosceles right triangle whose perimeter is 26 cm.
- Discount
The product has been discounted twice by 19%. What is the total discount given? - Hole
We will drill the cylinder shape hole in the cube's center with an edge 14 cm. The volume of the hole must be 27% of the cube. What should drill diameter be chosen? - Pyramid roof
1/3 of the area of the roof-shaped regular tetrahedral pyramid with base edge 8 m and height of 4 m is already covered with roofing. How many square meters still need to be covered? - Right triangle
Right triangle ABC with side a = 19 and the area S = 95. Calculate the length of the remaining sides. - Square diagonal
Calculate the length of the diagonal of the square with side a = 11 cm.
- Triangle
Can an equilateral triangle have a right angle? - 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? - Lines
Five bus lines run at intervals 3, 6, 9, 12, 15 minutes. In the morning, it suddenly starts at 4:00. After how many minutes do the bus lines meet again? - Numbers
Determine the number of all positive integers less than 4183444 if each is divisible by 29, 7, 17. What is its sum? - Circles
The areas of the two circles are in the ratio 2:20. The larger circle has a diameter 20. Calculate the radius of the smaller circle.
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