Math practice for 13 year olds - page 352 of 413
Number of problems found: 8260
- Cube - wall
In the cube ABCDEFGH, |CF|=4 √ 2. What is the surface area of the cube? - Two looms
On two looms of different performances, the desired amount of fabric can be woven in 6 hours when both are working simultaneously. On the first machine, this amount of fabric would be woven in 10 hours. How long would it take to weave on the second machin - Two trains
Two trains go at each other. First at a speed of 40 km/h and the second at a speed of 60 km/h. At what distance will it be 30 minutes before they will meet? - Candy benches
There are candies on ten benches. There are three candies on the first bench. There are two more candies in each one than in the previous one. Find how many candies there are. - Perpendicular diameters
Draw a circle k/S; 4.5 cm/. Next, draw: a/two mutually perpendicular diameters AB and CD b/two radii SA and SE which form an angle of 75 degrees c/chord/KL/= 4 cm d/chord/MN/, which is perpendicular to KL - Weights
Marry and John together, weighing 49 kg. Their weights are in a ratio of 1:6. Determine their weights. - Chord 5
It is given a circle k/S; 5 cm /. Its chord MN is 3 cm away from the center of the circle. Calculate its length. - Points on circle
In a Cartesian coordinate system with origin O, a circle k is drawn with centre O and radius r = 2 cm. Write all points on circle k whose coordinates are integers. Write all points on the circle with centre O and radius r = 5 cm whose coordinates are inte - Truck PRG-BA
Truck driving on the highway from Prague to Bratislava at an average speed of 72 km/h. When the truck passes 54 kilometers from Prague, the passenger car departs from Prague and travels to Bratislava at a speed of 90 km/h. When and where (at what highway - Diagonal in rectangle
In the ABCD rectangle is the center of BC, point E, and point F is the center of the CD. Prove that the lines AE and AF divide diagonal BD into three equal parts. - Barrel 4
The barrel of water weighs 63 kg. After off 75% water, the barrel's weight with water is 21 kg. How many kg weigh empty barrels and how many kgs of water in them? - Savings and retirement
The older sibling has saved 44% more euros than the younger sibling, which represents €22 more. How many euros has the older sibling saved? - Semicircle
To a semicircle with a diameter of 10 cm, inscribe a square. What is the length of the square sides? - Bronze, tin and copper
Bronze is an alloy of tin and copper. An alloy of 10% tin and 90% copper is Gunmetal. It is bell metal if it contains 20% tin and 80% copper. How many tons of molten bell metal and copper are needed to make 100 tons of Gunmetal? - Two tributaries
Two tributaries of the pool fill it in 10 hours. One of the tributaries would fill 15 hours. How long would fill the first tributary? - Rectangle - sides 4
The perimeter of the rectangle is 72 cm. Calculate the length of the sides that are in the ratio of 3:5. - Cubes
How many cubes with an edge length of 5 cm may fit in the cube with an inner edge of 0.4 m maximally? - Lake circumference
The circumference of lake in km is the number b, which must be added to the empty space in the equation below so that its solution is x = 12,000. (x/30) + (x/20) = x - ………… - Tree trunk
From the tree trunk, the diameter at the narrower end is 28 cm, and a beam of the square cross-section is to be made. Calculate the longest side of the largest possible square cross-section. - Similarity of squares
The ratio of the similarity of the squares ABCD and KLMN is 2.5. Square KLMN area is greater than an area of a square ABCD with side a: ...
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