Math practice for 13 year olds - page 55 of 424
Number of problems found: 8477
- Three items
The price of a product is determined by these three items: the price of equipment (hardware), the price of software, and the profit. The price of the software was 500 Kč higher than three times the price of the hardware. The profit was set twice as high a - In production
In the production of sea buckthorn liqueur, 1.25 litres of sea buckthorn juice are mixed with 0.75 litres of spirit with 4% alcohol content. Calculate the percentage of alcohol in the sea buckthorn liqueur. Calculate the volume of pure alcohol in litres c - Sports Day 2
There are 15 boys in the class. 3 boys and 2 girls did not participate in the sports day. How many girls are there in the class if 80% of the students participated in the sports day? - Tin sheet
How much sheet metal is needed for a box in the shape of a triangular prism with a base edge of 20 cm, base height of 15 cm, and prism height of 30 cm? An additional 10% of sheet metal is needed for joins. - Fair
Several students from our class went on excursions and each paid the same amount. In the end, some money was left over that needed to be returned to them. If we returned €3 to each person, there would still be €5 left. If we returned €4 to each person, th - Infinite speed
A runner completes her first lap of the track at an average speed of 5 km/h. How fast must she run her second lap so that her overall average speed for both laps is 10 km/h? - Compound fractions
Simplify the compound fraction using known formulas: (4a²-12a+9)/(4a-6) - Kilogram chleba
We need 750 g of flour for one kilogram of bread. How much flour do we need for 20 loaves weighing 1200 g? - Hydraulic lift
Martin needs to lift a 1.5-ton car using a hydraulic device with pistons of sizes 2 cm² and 15 dm². How much force must the device exert on the small piston? - Triangle Area and Perimeter
The area of a right triangle is 240 cm². Determine its circumference if the given lengths are suspended in a ratio of 5:12. - Groundwater
A rainwater collection tank has the shape of a prism with trapezoidal cross-section, with parallel sides a = 5 m and c = 7 m, which are 4 metres apart. The depth of the tank is 3 metres. How many hectolitres of water can it hold at most if 8% of its volum - Similar triangles
We have similar triangles ABC with angle CAB=45° and angle ACB= 30° and a similar triangle OPN. What is the angle NOP in a similar triangle? - 3 weights
A two-arm lever has a 0.5 kg weight on the left arm at a distance of 64 cm from the axis of rotation, and a 0.8 kg weight at a distance of 30 cm from the axis of rotation. How far from the axis of rotation on the right arm must a 0.7 kg weight be placed f - Wrench Lever Force
The key works like a lever, where one arm is the radius of the bolt, and the other is the length of the key. If key no. 12 (for screws with a diameter of 12 mm) and a length of 12 cm can be tightened with a maximum force of 100 N, what force does the wren - Triangle and Cone
A right triangle has legs 3 cm and 4 cm long. Cone A was created by rotating this triangle around the longer leg, and cone B by rotating it around the shorter leg. Which cone has: a) a larger volume? b) a smaller lateral surface area? c) a larger total su - Staircase - escalator
An escalator moves downward at a speed of 0.6 m/s at an angle of 45° to the horizontal. A person weighing 80 kg walks upward on it at a speed of 0.9 m/s. Determine the distance covered by the person and the work done by him before he reaches a height of 2 - Passenger car and truck
At 6 a.m., a truck left the Factory at 40 km/h. At 6:30, a car drove behind it at 70 km/h. How long, at what time, and how far from the Factory will the passenger car catch up with the truck? - Rectangle Dimensions from Perimeter
The perimeter of the rectangle is 56 cm, and its length is three times greater than its width. What are the dimensions of the rectangle? - Textbook and Workbook Price
A textbook with a workbook costs 14 euros. The workbook is 6 euros cheaper than the textbook. How much is the textbook, and how much is the workbook? - A lottery In a lottery, a person chooses four different natural numbers at random from 1 to 10, and if these four numbers match the four numbers already fixed by the lottery committee, he wins the prize. What is the probability of winning the prize in the game? (Th
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