Maths practice for 14 year olds - page 275 of 314
Number of problems found: 6275
- Water pool
A pool with a volume of 990 hl is completely filled if water flows by one tap for 8 hours and by the second tap for 6 hours. The first tap gives 10hl more than a second per hour. How many hl flows in each of them in an hour?
- Principal and interest
Peter put € 270 principal into the bank, and at the end of the year, the account was € 282. To what annual interest rate did Peter deposit money in the bank?
- Triangle IRT
An isosceles right triangle ABC with a right angle at vertex C has vertex coordinates: A (-1, 2); C (-5, -2). Calculate the length of segment AB.
- Diamond
Calculate the length of the two diagonals of the diamond if: a = 13 cm v = 12 cm
- Rectangle
The rectangle is 18 cm long and 10 cm wide. Determine the diameter of the circle circumscribed by it.
- Buttercups 2031
Paul has eight dry mushrooms, 1/2 fewer oaks, and cossacks, five times more than buttercups. Cossacks and buttercups have a total of 3 times more than dry mushrooms. How many mushrooms do they have together? And how many buttercups and how many Cossacks?
- Railway
The railway line climbs 8 permille between points A and B, whose horizontal distance is 1.5 km. It climbs 14 permille between points B and C, which have a horizontal distance of 900 m. Calculate the differences in altitudes between points A and C.
- Journey to grandma
Daniel traveled to Grandma. He traveled 100 km, halfway by train, one quarter by bus, one-tenth by bicycle, and the rest by car. How many km did he travel by car?
- Basketball
Peter and Franta threw to the basket. Each had 20 attempts. Peter scored thirteen and twelve Franta. Give them a percentage of success.
- Resort
In a completely crowded resort, 30% of the Czech Republic quarter visitors were from Slovakia, and the rest, 135, came from Germany. What capacity has the resort had?
- Tiles
How much will you pay CZK for laying tiles in a square room with a diagonal of 8 m if 1 m² cost CZK 420?
- Height difference
What height difference is overcome if we pass a road 1 km long with a pitch of 21 per mille?
- Win in raffle
The raffle tickets were sold to 200, 5 of which were winning. What is the probability that Peter, who bought one ticket, will win?
- Rectangle - desc circle
The length of the sides of the rectangle is at a ratio of 1:3. The circle's radius circumscribed to the rectangle is 10 cm. Calculate the rectangle's perimeter.
- Railway
The railway line had a 5.8 km segment climb nine permille. How many meters does the track ascent?
- Ski tow
The ski club has 168 pupils and uses a lift with 60 seats. Students always follow the same sequence in filling seats. How often does a skier sit in the same seat as the first run while riding a ski lift?
- RT leg and perimeter
The right triangle ABC with hypotenuse c has the length of a leg a= 84 and the perimeter of the triangle o = 269. Calculate the size of the sides of the triangle ABC.
- Chimney
The lower circumference of the chimney is 12.57 m, and the top circumference is 5.655 m. The slope of the walls is 87°. Find the height of the chimney.
- Coffee shop
The coffee shop brought two types of coffee total of 50 kg. The first type was CZK 220 per kilogram, and the second type was 300 CZK per 1 kg. All the coffee traders earned CZK 12,000. How many kilograms of coffee of the first type and how many kilograms
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