Maths practice for 14 year olds - page 217 of 371

Number of problems found: 7412

Isosceles 7661
The area of the isosceles triangle is 8 cm², and its arm's length is 4 cm. Calculate the sizes of its interior angles.
Minutes 7660
The mile came from point A at 13 hours at a speed of 4 km/h. At 3.30 PM, Líba rode her at a speed of 20 km/h. How many minutes will Líba catch up with Milo?
Second-longest 7659
The sides of the ABC triangle measure 39 cm, 42 cm, and 45 cm. The second-longest height of this triangle is 36 cm. What is its shortest height?
Diesel fuel
In the morning, we refueled and set off. After the first stop, we passed 20% of diesel and 10% of the balance after the second. At the third stop, we had only 9 liters of diesel and had to refuel. How big a tank do we have?
Five inlets
The tank can be filled with five equally powerful inlets. If four inlets fill the tank, it takes 30 minutes to fill one-third of the tank. How many minutes does it take to fill an empty tank if it is filled with all five inlets?
Quadruple 7654
Triple and quadruple rooms are available in the cottage for 30 children. Rooms are occupied so that all beds are always occupied. Determine how many rooms the children will occupy in total if there are four times as many children in the four-bedroom rooms
Diameter 7648
The mug has the shape of a cylinder with a height of 60.7 mm. There is two dl of water in it. If we dip a ball with a diameter of 40 cm into the water, the water will not overflow. What is the minimum diameter of the cup?
Screens
The area of a 25-inch TV screen is 300 inch² the area of a 40-inch TV screen is 768 inch². The area of the smaller screen is what percent of the area of the larger screen?
Pupils
There are 350 girls in the school, and the other 30% of the total number of pupils are boys. How many pupils does the school have?
Vocational 7639
From the last year of one primary school, 8% of pupils went to study at a gymnasium, 60% went to vocational schools, and 8 pupils went into practice. How many students were there in total in the last year? How many went to study?
10-centimeter-high 7638
A block with a square base is inserted into a 10-centimeter-high cylinder in such a way that its base is inscribed in the base of the cylinder. The edge of the base of the block measures 4 cm. Both bodies have the same height. Calculate the difference bet
Chickens and hares
There were chickens and hares in the yard. Together they had 22 heads and 54 legs. How many hens were there in the yard?
Opposite 7634
The first worker digs a canal in 3 hours. The other will dig the trench in 4 hours. They will work 1 hour opposite each other and then together. How long will it take them?
Shelves 7633
Juraj had music CDs and DVDs stored on the shelves. There are a total of 64. How many DVDs are on the shelf if there are seven times less than a CD?
Equation - inverse
Solve for x: 7: x = 14:1000
Kilometers 7631
At 8:00, Peter set out on a hike at 5 km/h. At 9:12, Michal followed him on a bike at a speed of 20 km/h. At what time did Michal Petra run, and how many kilometers did he cover?
Tributaries 7630
The polder has two tributaries. A larger inflow will fill an empty polder in 12 hours. The polder is already a quarter full. If we open both tributaries, the polder will be filled in 6 hours. How long would it take for a smaller inflow to fill an empty po
Three-fifths 7629
The sum of the two numbers is 46. It holds that two times the first is one greater than three-fifths of the second. What are the numbers?
Friends 7624
Five friends want to sit on one bench. How many ways can this be done if one of them always sits in the middle of the bench?
Workshops
The first workshop will complete the robot itself in 15 days, and the second workshop in 10 days. They started together, but only the second workshop worked after three days. Thus, the work will take 15 days.

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