Maths practice for 14 year olds - page 41 of 379
Number of problems found: 7575
- Cauliflower: 83523
Miss Kapustová sold vegetables in the market. Yesterday, she offered two types of cauliflower: a large one for 25 CZK and a small one for 15 CZK. She sold 8 crates of 20 heads and earned a total of CZK 3,270. How many large and how many small cauliflowers - Rectangular roof
Our house's roof is rectangular. When it rains, the water drains through the gutter. How much water flowed from our roof during a storm when we know that 12 liters of water fell on every 1 m² of surface? The roof width is 6m, the length is 9m, and the slo - Isosceles weight
A designer weight is made from a glass cube by cutting a three-sided prism with an isosceles triangle base that is right-angled and whose arm is half the length of the cube edge. What percentage of the cube is cut off when making the weight? - Children books
The library has 2748 books, three times more for adults than for children. Thus, the library has 2748 books for adults and 2748 books for children. - Granulate 83503
Bathing water should have a pH value in the range of 6.8 - 7.2. How much granulate should we add to increase the pH value from 6.2 to 7 if a dose of 100g/10m³ increases the pH by approx. 0.1? P.S. It's not 800 grams. - Acceleration 83493
A body with a mass of 5 kg moves in a vertical downward direction with an acceleration of a= 12 m/s². What force acts on it in addition to its weight? - Temperature 83492
How much heat is needed to turn 1kg of ice at a temperature of -10℃ into steam at a temperature of 100℃?
- Engine power
Calculate the engine power of a truck moving at a constant speed of v= 30 km/h on a road with a 5% gradient when the weight of the truck with the load m= 5000 kg! - Distinction 83469
In the year's first half, 20% of the 8A class students had honors. At the end of the year, 3 more students joined them, and a total of 32% of the students received the distinction. How many pupils went to 8A? - Good grades
At school, 10 percent of boys and 15 percent of girls achieve good grades. What percentage of students achieve good grades when 60 percent of girls are in school? - Accommodates 83454
The dormitory accommodates 173 students in 48 rooms. Some rooms have three beds; some have four beds. If all rooms are fully occupied, determine how many are triples and how many are quadruple rooms. - Distances 83452
For shorter distances, small train sets are marked with three different letters from the company name run; how many small sets can be marked like this? - Connecting lines
They are given a square ABCD. The points EFGH are the midpoints of its sides. What part of the area of the square ABCD is the area of the square created in its center by connecting the points AF, BG, CH, and DE? - Material 83438
Five cars deliver 300 tons of material in 6 days. How many tons of material will 10 cars deliver in 9 days? - Calculate 83431
In triangle ABC, the size of the exterior angle at vertex C is equal to 126°. The size of the internal angles at vertices A and B are in the ratio 5: 9. Calculate the size of the internal angles α, β, γ of triangle ABC.
- Spherical 83427
The bowl, in the shape of part of a spherical surface, has a diameter of 28 cm at the top edge and is 8 cm deep. What is the total volume of the bowl? How much water would you have to pour into the bowl to fill it halfway? - Hectoliters 83422
A barrel with a volume of 3 hectoliters was rolled into 375 bottles. Some had a volume of 0.7 l, some 1.0 liter. How many were there? - Capacity 83398 The hotel has 210 rooms, with 3 beds and 2 beds, and a capacity of 470 places. How much are 2 beds and 3 beds?
- Distance
If Danka increases her walking speed by 1km/h, she will cover a distance greater than 20 km in 4 hours. If she decreases her speed by 1km/h, she will not cover more than 20 km in 5 hours. At what speed did Danka walk? (s=v. t;s- distance, v- speed, t- tim - Representing 83365
30 women work in the police department, representing 60% of the workforce. How many work in the men's department?
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