Maths practice for 14 year olds - page 323 of 379
Number of problems found: 7575
- Workers 2
The worker dug the trench for 7 hours, and another worker for 10 hours. They recruited to work even one worker. Digging should be done for 2 hours. For how long would dig the third worker alone? - 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 - Consecutive numbers
The sum of ten consecutive numbers is 105. Determine these numbers (write first and last). - Previous 2513
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. - Tangerines 2508
Michael, Tono, Marek, and Julia have 48 mandarins. Michael has 12 tangerines more than Tono, and Julia has eight tangerines less than Marek. Determine how much each has. - 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
The Cartesian coordinate system with the origin O is a sketched circle k /center O; radius r=2 cm/. Write all the points that lie on a circle k and whose coordinates are integers. Write all the points on the circle I with center O and radius r=5 cm, whose - 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 youngest, which represents 22 euros. How many euros older brother has 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? - 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.
- Three numbers
What are three numbers that have the property: the sum of the first and second numbers' reciprocals is 12/7, the first and third 11/24, and the second and the third 3/8. - Circumference 2489
The circumference of Baikal 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 - ………… Thanks - 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. - Pyramid 8
Calculate the volume and the surface area of a regular quadrangular pyramid with a base side of 9 cm and a side wall with the base has an angle of 75°. - Calculate 2482
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.
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