Maths practice for 14 year olds - page 196 of 371
Number of problems found: 7412
- Triangle's 9731
Solve the triangle ABC if the side a = 52 cm, the height on the other side is vb = 21 cm, and the triangle's area is S = 330 cm².
- Different 9711
A new bus route network was built. There are three stops on each line. In addition, every two lines either do not have a common stop or have only one common stop. What is the largest number of tracks there can be in a town if we know there are only nine d
- Calculate sides
In the triangle, the side length AB = 6 cm, the height to side c = 5 cm, and the angle BCA = 35°. Calculate sides a b.
- Northeasterly 9681
A military unit marches in a northerly direction from point A to point B, 15 km away. From place B, it goes 12 km in a northeasterly direction to place C. Determine the direct distance of cities A and C and certainly the deviation -alpha- by which the uni
- Two water containers
There are 200 m³ of water in the first container, and in the second, 40 m³. The first container will flow down at a rate of 10 m³ water per hour. At the same time flows at the second rate of 5 m³ per hour. After how many hours will there be three times le
- The devils
The devils weighed in hell with Dorota. They found that Dorota and the two devils weigh 250 kg together, and Dorota and the four devils weigh 426 kg. All the devils weigh the same. How Much Does Dorota Weigh?
- Complaining 9611
Ondra, Mathias, and Kuba are returning from collecting nuts. They have a total of 120. Mathias complains that Ondra has the most, as always. The father orders Ondra to sprinkle it on his Mathias so that the number of nuts doubles. Now Cuba is complaining
- Three-digit 9601
Majka researched multi-digit numbers, in which odd and even numbers alternate regularly. Those who start with an odd number are called comics, and those who start with an even number are called cheerful. (For, number 32387 is comic, and number 4529 is hil
- Two rectangles 2
A square area of 36 cm² is cut out to make two rectangles - A and B. The area's ratio A to B is 2:1. Find the rectangles A and B dimensions.
- Calculate 9571
At 9:00 AM, a car left Zlín in the direction of Brno, 98 km away. At 9:15 AM, a vehicle left Brno in the direction of Zlín and drove at a speed 6 km/h higher than the speed of the car traveling from Zlín. The cars met at 9:45 AM. Calculate the speeds of b
- Three-digit 9531
How many three-digit numbers do not change if we replace the digit in the hundreds with the digit in the units?
- Bodybuilder 9521
The bodybuilder weighs 96 kg. The second bodybuilder weighs 25% more than the first bodybuilder. What is the sum of their weights?
- Grandmother 9451
Petr and Honza received 315 CZK from their grandmother. Petr Dostál a third more than Honza. How many crowns did each of them have?
- Tax and death
Calculate 60% (aggregate taxes and levies) of 1000 euros of the gross wage.
- Rectangular 9401
Matrix E is a rectangular matrix that contains 48 elements and four rows. How many columns does this matrix have?
- Dimensions 9371
Change both dimensions of the rectangle in a ratio of 5:3. Initially, the dimensions are 9cm and 15cm. What are the dimensions of the rectangle after the change?
- Tree trunk
What is the smallest diameter of a tree trunk that we can cut a square-section square with a side length of 20 cm?
- Divisible 9331
The number X is the smallest natural number whose half is divisible by three, a third is divisible by four, a quarter is divisible by eleven, and its half gives a remainder of 5 when divided by seven. Find this number.
- Significant 9321
Only herbs with 5 and 7 leaves grow in the Old Forest. When the boar Vavřínec collects raw materials for herbal liquor, it always tears off the whole herb and puts it in a basket. What is the most significant number of letters he will ever manage to have
- Geometric progressiob
If the sum of four consecutive terms of a geometric progression is 80 and the arithmetic mean of the second and fourth terms is 30, then find terms.
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