Math practice for 13 year olds - page 48 of 422
Number of problems found: 8440
- Tank - fuel prices
I have a car with a 50l tank. My task is to find out the price of a full tank of fuel by weighted average at the end of the year. In December, 30l of fuel was filled - 37.50 CZK, and in November 40l - 38.40 CZK. What is the price per 1 liter and the value
- Table - tablecloth
Mrs. Vránová has a square table with a side length of 110 centimeters. She wants to have a square tablecloth sewn on it so that its corners extend beyond the edges of the table by 25 centimeters. What dimensions should the tablecloth have?
- Air 2
The air distance between New York and Los Angeles is 3962 km. How many km is 1 cm on a map if the map scale is 1:1000000?
- Left-handed
There are 100 people in a room, 99% of whom are left-handed. How many left-handed people must leave the room to reduce this proportion to 98%?
- Peter 27
Peter earned twice as much as Jano on his part-time job. Jano earned 50 euros less than Peter. How much did each of them earn?
- Irregular
Calculate the area and perimeter of the garden that was created from a rectangular plot measuring 10 by 20 meters after transferring one corner measuring 6 by 7 meters. The separated rectangular plot has parallel sides to the main plot. Did the perimeter
- Thinking unknown n
I am thinking of a number. If I subtract 14 from it and multiply by 6, I get the number 210. What is the number I am thinking of?
- Spiral - iron
An electric iron is connected to a 230 V voltage source. Its heating coil has an electrical resistance of 100 ohms. Calculate the power of the iron and the electric current flowing through the coil.
- Tank 28
The tank fills in 120 hours. When irrigated, it empties in 10 days. At what time will it fill with simultaneous irrigation?
- Oranges and apples
Mr. Novák bought 5 times more oranges than apples. One orange cost 8 CZK and one apple costs 12 CZK. He paid 156 CZK in total. How many oranges and apples did he buy?
- Asphalt
A tennis court can have a grass, asphalt, or clay surface. Singles are played on a court 23.78 m long and 8.23 m wide. For doubles, a strip 1.37 m wide is added on both longer sides. How many m² is a tennis court for doubles larger than for singles?
- Railing 3
A railing in a museum is filled with 18 glass plates in the shape of a parallelogram with a side length of 40cm and a corresponding height of 65cm. How many m² of glass were needed to produce these fillings?
- Expanding
A problem has spread here - money printing. The ECB claims it aims to maintain a price level with 2% inflation. But for the last three years in a row, annual inflation has been 6%, 7% and 9%.
- Divisible PIN
Marek's mother helped him with his shopping. She wanted to pay with a card when collecting the goods in person, but she wasn't sure what her PIN was. Could it have been if her PIN code was a number divisible by six?
- Triangles - combinations
How many different triangles with sides in whole centimeters have a perimeter of 12 cm?
- Determine 23
Determine in cm² the area of the rectangle ABCD, whose longer side a=20cm and whose diagonal is 10cm longer than its shorter side.
- Wall and ladder
A ladder is leaning against a wall at a height of 6.5 m. How long is the ladder if it makes an angle of 60° with the horizontal floor?
- Production
The company's production in February was 15% greater than in January and 25% less than in March. By what percent was the production in March higher than in January?
- Isosceles gable
The roof of a cottage has a gable in the shape of an isosceles triangle with a base length of 8m and a side length of 10m. How high is the gable?
- Diagonal 2
What is the area in square meters of a rectangular garden whose diagonal is 50m long and the width of the garden is 27m? Round the result to the nearest whole number.
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