Math practice for 13 year olds - page 353 of 414
Number of problems found: 8279
- 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: ... - Train departure time
The train left Košice at 2:45 PM to Poprad, 120 km away. At 5:45 PM, we met in Poprad with an oncoming train from Žilina, 140 km from Poprad. Calculate what time the train left Žilina if you know that it was 8 km/h faster than the train from Košice. - Cyclist vs boat
The cyclist wants to ride a short distance by boat, but when he stops at the pier, the boat does not pick up passengers yet and is preparing to leave. The cyclist decides that the ship will catch up at the next stop. The stop is 12 km far along the water - Truck and car
At 6 h45 min, the truck started at a speed of 36 km/h. At 7 h30 m behind it, a passenger car. Find the passenger car's average speed to catch the truck 72 km away from the factory. - TV width
The electronics store offers a TV with a diagonal screen of 33 inches; the screen's height (without borders) is 44 cm. How wide is the TV if the edge on each side of the screen is 1.1 cm? - Ski price
The price of skis increased twice from May to December, always by 20%. In December, the skis cost 1440 SKK. What was the original price in May?
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