Maths practice for 14 year olds - page 218 of 375

Number of problems found: 7492

Transport coupon savings
The coupon allows you to travel by public transport with a 20% discount cost of 300 CZK. If the ticket costs CZK 20, how often do we have to go after buying coupons so we don't lose out on buying coupons?
Diluting Alcohol to Percentage
We want to prepare 200g of 64% alcohol. We have enough 80% alcohol to dilute with water. How much 80% of alcohol and water will we need?
Isosceles Triangle Interior Angles
The area of the isosceles triangle is 8 cm², and its arm's length is 4 cm. Calculate the sizes of its interior angles.
Catching Up on Bicycle
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?
Triangle height calculation
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?
Cottage room occupation
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
Cup Diameter Ball Displacement
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?
Primary School Graduates Paths
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?
Cylinder and Cuboid Volume
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?
Two Workers Digging Canal
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?
CD DVD shelf
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
Bicyclist Meeting Walker
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?
Polder filling
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
Two number sum
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?

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