System of equations - practice for 12 year olds - page 2 of 12
Number of problems found: 238
- Christmas or Easter
Please calculate this example by the Venn equation. They asked 73 students whether they liked Christmas or Easter. Thirty-four of them like one of the holidays. 39 loves Easter. There are twice as many students who wish for both holidays as those who only - Five-crown 13621
Jana saves two-crown and five-crown coins. He has ten coins in the coffers. How many are two Czech crowns, and how many are five Czech crowns if he has saved CZK 29? - Dividing money
Vilem, Cenek, and Edita divided the money they earned by spreading the leaflet. Vilem got 240 CZK more than Cenek and twice more than Edita. Edita got 400kc less than Vilem. How much did each of them earn? - Age question
Jano is three times older than Zdeno. Zdeno is 12 years younger than Janko. How old is Jano, and how old is Zdeno? - Flowerbed
Ondra digs the bed in 20 minutes. Cuba in 30 minutes. For how long do they dig together? - Oranges 7824
I have 20 pieces of fruit. How many apples when pears are nine times more than oranges? - Incorrectly 7484
Tomáš was given the task of solving 10 problems. He received 3 points for each correctly solved, and 4 points were deducted for each incorrectly solved. He scored a total of 9 points. How many tasks did he solve correctly, and how many incorrectly or not - Calculate 7451
The car will cover a certain distance in 3 hours and 20 minutes. If he increases his speed by 10 km/h, he will cover this distance in 2.5 hours. Calculate this distance. - Difference 7359
The apartment on the first floor has an annual rent of 10% higher than the same apartment on the second floor. The difference in the yearly rent is €105. What are the annual rent for the apartment on the first floor and the apartment on the second floor? - Watching TV
One evening 2/3 of students watch TV. Of those students, 3/8 watched a reality show. Of the students that watched the show, 1/4 of them recorded it. What fraction of the students watched and recorded reality TV? - Supplementary angles
One of the supplementary angles is larger by 33° than the second one. Calculate the angle size. - Gasoline tank 2
A gasoline tank is 1/6 full. When the family added 25 liters of gasoline, it became 3/4 full. How many are liters more needed to fill them? Show your solution. - Summer camp
Eighty-four children spent their holidays at the summer camp. There were eight fewer boys than girls. What percentage were boys and what percentage were girls? - Circumference 6598
Adam had three identical rectangles. He put them together and got a rectangle with a circumference of 50 cm. Then, he placed them differently and got a rectangle with a larger circumference. Calculate its perimeter. - Pupils 6579
There are 169 pupils, 45 rooms, how many rooms are three beds and how many five beds? - Bottles 6527
Five boxes of fish and three bottles of drink cost 276 CZK, three boxes of fish and two bottles of drink cost 176 CZK, and two boxes of fish and one drink bottle cost 176 CZK. Thus, we pay 276 CZK for two boxes of fish and one drink bottle. - Pedestrian 6526
At 9 o'clock, the pedestrian climbed at an average speed of 5 km/h, and 3 hours later, a cyclist followed him at 12 km/h. Determine what time they will meet. - Distance 6460
Tomas will leave point A at a speed of 4 km/h at 9 o'clock. Ondra will meet him from point B at a speed of 3 km/h at 9.30 am. The distance between points A and B is 5.5km. What time do they meet, and how far will they be from point B? - The tourist
The tourist came started from the hostel at an average speed of 5km/h. Half an hour later, the bicyclist started along the same route at a speed of 20km/h. How many minutes will a cyclist catch up, and how many kilometers will he go? - English-German 6443
Two foreign languages are compulsory from the fourth grade. Only a tenth of the class did not choose English, and a fifth did not take German. Fifteen children learn French this way. Calculate how many pupils chose the English-German combination.
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