Math practice for 13 year olds - page 345 of 424
Number of problems found: 8472
- Money for grandchildren
My grandfather distributed CZK 1,600 among his grandchildren. He divides the amount proportionally to their ages. The grandchildren are 15, 12, and 6 years. How much will each of the boys get? - Scout trip
During the trip, the scouts ran 1/2 of the route on the first day, 2/5 of the route on the second day, and on the third day, they were still 12 km away. How many km have they traveled in all three days? - Trapezoid waste
We cut two triangles from the rectangular plate so that the resulting quadrilateral-trapezoid with the same arm lengths has an area of 32 cm², and one of its bases is twice as long as the other. What is the area of the two triangles that make up the waste - Circle radius
The area of the two circles is in a 4:9 ratio. The larger circle has a diameter of 12 cm. Calculate the radius of the smaller circle. - Expression substitution
Determine the value of the expression by substituting for the variables a = 5, b = 2, x = 3, y = 1: k = 4ab + 1/2 ab - 14 l = x² + 2xy + y² m = 5b³ - 4b² - Measuring cork
Simon boasted that he had taken away a block of cork measuring 0.5 m x 0.5 m x 1.2 m. Is it possible we know that 1 m of cubic cork weighs 300 kg and children from 10 to 15 years old can carry a maximum load of 5 kg? - Square pyramid
What is the surface of a regular pyramid with a square base? If each edge of the base measures 40 mm, the pyramid's height is 44 mm, and the pyramid's height is 38 mm. - Trapezoid bases
In the isosceles trapezoid ABCD, the arm is 5.2 cm long, the middle bar is 7 cm long, and the height is 4.8 cm. Calculate the lengths of both bases. - Triangle area
In an isosceles triangle, the base length is 75% of the arm's length. If the circumference is 22 cm, calculate the area of the triangle. - Rectangle dimensions
The rectangle is 6 cm longer than the width. A square with a side equal to the length of the rectangle has an area of 78 cm² larger than the rectangle. Calculate the dimensions of the rectangle. - The roof of the church
The cone roof of the church has a diameter of 3 m and a height of 4 m. What is the size of the side edge of the church roof (s=?), and how many sheets of the sheet will be needed to cover the church roof? - Surface of a cube
The cube's edge, the volume of which is 58.3% of its surface, is: a) 3.5cm b) 4.5cm c) 2.5cm d) 1.5cm - Church roof 2
The roof has the shape of a rotating cone shell with a base diameter of 6 m and a height of 2.5 m. How much money (CZK) will cost the roof cover sheet if 1 m² of metal sheet costs 152 CZK and if you need 15% extra for joints, overlays, and waste? - Ghost clock
At 6:15, a ghost conjured a clock that showed the correct time. At that moment, the hands on the clock began to move at the correct speed but in the opposite direction. The ghost reappeared at 7:30 p.m. What time was the clock showing at this moment? - Circumscribed circle to square
Find the length of a circle circumscribing a square side of 10 cm. Compare it to the perimeter of this square. - Right triangle area
In a right-angled triangle ABC, the height of side c has a length of 6 cm. The letter D indicates the heel of the height. Line segment AD is 8 cm long. Calculate the area of triangle ABC. ( example on Monitor 9 ) - Prism surface
The base of the vertical prism is a right triangle with a perpendicular 5 cm. The area of the largest wall is 130 cm2, and the body's height is 10 cm. Calculate the surface area of the body. - Cylinder surface
The surface of the cylinder with a base diameter of 20 cm and a height of 0.3 m is approximate. - Prism - box
The prism's base is a rectangle with a side of 7.5 cm and 12.5 cm diagonal. The volume of the prism is V = 0.9 dm³. Calculate the surface of the prism. - Body diagonal
Find the cube surface if its body diagonal has a size of 6 cm.
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