System of equations - practice for 13 year olds - page 24 of 46
Number of problems found: 903
- Birthday 6092
Soňa and her aunt have a birthday, and her aunt is five times older than Soňa. When Soňa is a year younger than her aunt, her aunt will be eighty years old. How old is Sona now? - Perimeter of a rectangle
If the perimeter of a rectangle is 114 meters and the length is twice the width plus 6 meters, what are the length and width? - Circumference 6040
The picture shows a square net in which the side of one square is 1 cm long. Draw a rectangle with an area of 18 squares with a circumference of 22 cm. - Three-euro 6035
The boy bought stamps worth € 2 and € 3 worth, a total of € 65. Two euros was five times more than three-euro. How many marks were there?
- Three-room 6033
There are three sizes of apartments in the new building on the housing estate. One-sixth of the total number of apartments are four-room apartments, and one-third of the rest are two-room apartments. There are 160 three-room apartments. How many four-room - Investigation 6024
Kamil saved up to buy a new phone case, which cost CZK 390. He only put ten and twenty crowns in the cash box. After two months of investigation, he had 25 coins in his treasury. When he calculated the total value of all the coins, he found out that he st - Kilometers 5972
Pavlina went on a trip on a hiking trail at an average speed of 4 km/h. Dalibor followed her an hour later and hurried at a speed of 7 km/h. How many kilometers does Dalibor cover before he catches up with Pavlina? - Father and son
When I was 11, my father was 35 years old. Today, my father has three times more years than me. How old is she? - Kilometers 5928
The tourist traveled 78 km in three hours. For part of the journey, he traveled by bus at an average speed of 30 km/h, the rest, he walked at an average speed of 6 km/h. How long did he walk, and how many kilometers did he walk?
- Oranges 5927
When you buy 3 kg of apples and 2 kg of oranges, we will pay € 12. When you buy 2 kg of apples and 4 kg of oranges, we pay € 16. How much does 1 kg of apples cost? - Eva and
Eva and Jana have a total of 560 CZK. Eva has a third more than Jana. How much CZK does each have? - The train
The train passed the observer in the 20s and passed through a 1500m tunnel in 2 minutes. Calculate the speed (km/h) and train length. - The parallelogram
The circumference of the parallelogram is 79.5 m, and its shorter side is half the longer side. What is the length of which side of the parallelogram? - Different 5874
Mišo and Rišo ran back and forth on the running track. They started towards each other, each from a different end of the track. Both were still running at the same speed, each at a different speed. The first time, they met 800 m from one end of the track,
- President's 5862
For the opening ball of the season, the president's wife bought a necklace with a bracelet for 768 euros. How much did the necklace cost, and how much did the bracelet cost if the bracelet was 40% off a) cheaper, b) more expensive than the necklace? - Daffodils 5846
There are 20 more tulips than daffodils in the garden. How many tulips bloom in the garden when there are 70 flowers? - Grandmother
Michael's grandmother raises chickens and rabbits. Michael calculated that they have a total of 20 heads and 64 legs. How many animals does grandma keep? - Expressway 5837
The expressway covers the distance from the starting point to the final station in 4 hours and 20 minutes. A passenger train, whose average speed is 30 km/h less, will cover this distance in 7 h 40 min. What is the speed of the express train, and what is - Mother and son
Mother is four times older than her son. In 16 years, the son will be two times younger than his mother. How many years are mother and son?
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