Math practice for 13 year olds - page 246 of 425
Number of problems found: 8484
- Together 8007
Sylva and Šárka have 20 CZK together. If Sylva gives Šárka 6 CZK, they will have the same. Sylva has how many more CZK? - Three-member 8005
There were a total of 50 teams in the competition. Eight teams were four-member, the rest three-member and two-member. How many teams were three-member when 134 people took part in the competition? - Three-digit 8002
Find the largest three-digit number that gives the remainder 1 when divided by three, gives the remainder 2 when divided by four, gives the remainder 3 when divided by five, and gives the remainder 4 when divided by six. - Inlet minus outlet
Water flows into the tank through two pipes and out of the third pipe spontaneously. Pipe A would fill the tank in 3 hours, pipe B would fill in 4 hours, and pipe C would flow out in 12 hours. If all three pipes open simultaneously, how long will the tank - Velocipedes
In the 19th century, bicycles had no chain drive, and the wheel axis connected the pedals directly. This wheel diameter gradually increased until the so-called high bikes (velocipedes) had a front-wheel diameter of up to 1.5 meters, while the rear wheel w - Difference 7985
The distance between cities A and B is 125 km. Two cars start from these places at the same time. The difference in their speed was 3 km/h. They met in an hour. What was the speed of each car? - The blue
The blue and red coats originally cost the same. Then red prices rose by 27%, and blue prices fell by 87%. Then their price differed by CZK 300. How much did the originally blue coat cost? - Flowerbed
Ondra digs the bed in 20 minutes, Cuba in 30 minutes. How long do they dig together? - Triangle 42
Triangle BCA. Angles A=119° B=(3y+14) C=4y. What is the measure of triangle BCA=? - Candies
In the confectionery, the price for 1 kg of pistachio candies cost CZK 360, and the price for 1 kg of hazelnut candies was CZK 280. Mixing these two types of sweets created a box of chocolates. How many grams of pistachios and hazelnut candies were in the - The dormitory
The dormitory accommodates 150 pupils in 42 rooms, some of which are triple and some are quadruple. Determine how many rooms are triple and how many quadruples. - Expression: 7974
Number 1 is the value of the expression: a 5-3 b. 22 - 32 c. (2 - 3)² d. 2 - 32 e. 32 - 22 - Entrepreneur 7971
Tatrabanka offers deposits with an annual interest rate of 3.6%. How much EUR must an entrepreneur deposit in Tatrabanka so that at this interest rate, after the end of the year, the bank will credit him with €1,000 interest on the deposit? - Available 7968
Michal is a hare breeder. He knows that seven hares will eat 98 doses of food in 7 days. How many must equal doses of food be available to have enough for six days for five hares? - Organized 7966
A group of foreign tourists planned to visit 4 Slovak cities - Košice, Prešov, Poprad, and Kežmarok. They decided that Prešov would be the third city they would visit. How many different ways could they have organized a visit to the listed places? - Jane plants Jane plants flowers in the garden. If she planted 12 every hour instead of 9 flowers, she would finish the job an hour earlier. How many flowers does she plant?
- Banknotes
Eva deposited 7800 USD in 50 banknotes in the bank. They had a value of 100 USD and 200 USD. How many were they? - Poplar
How tall is a poplar by the river if we know that 1/5 of its total height is a trunk, 1/10th of the height is the root, and 35m from the trunk to the top of the poplar? - National park
In the national park, the ratio of the wooded area to grassland is 4:1. The total area is 385 km². What area is wooded? - Cylindrical 7943
The outdoor pool has a cylindrical shape with an inner diameter of 3.6 m and a depth of 1.2 m. a) how long will it take to fill if 2 liters of water flow per second? b) how many crowns will it cost to fill the pool? (find out the price of 1 m³ of water. )
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