Math practice for 13 year olds - page 243 of 415
Number of problems found: 8281
- Coins
The boy collected coins with values of 5 CZK and 2 CZK when he had 50 pieces saved 190 CZK. How many he has each type of coin? - Cyclist pursuit
The pedestrian walks at a speed of 4.3 km/h. In 1 hour and 10 minutes, a cyclist followed him at an average 18 km/h speed. How many minutes will a cyclist reach a pedestrian, and how many kilometers will he travel? - Rectangle Side from Diagonal
Calculate the other side of the rectangle if one side and the length of the diagonal are known: a = 3 cm u = 5 cm b =? - The pot
The pot is a cylinder with a volume of V = 7 l and an inner diameter of d = 20 cm. Find its depth. - Cows and calves
There are 168 cows and calves in the cowshed. Cows are in nine stalls, and calves are in four stalls. The same count of cows is in every cow stall, and there are three more calves in each calf stall than there are cows in each cow stall. What is the capac - Self-counting machine
The self-counting machine works exactly like a calculator. The innkeeper wanted to add several three-digit natural numbers on his own. On the first attempt, he got the result in 2224. To check, he added these numbers again, and he got 2198. Therefore, he - Circle position sketch
Sketch the relative position of the circles k1 (S1, r1 = 5 cm) and k2 (S2, r2 = 3 cm) and k / S1S2 / = 0 cm and give its name. - Red diplomas
The number of students with honors in 2013 and 2014 is in a ratio of 40:49. How big is the year-on-year percentage increase? - Money Sharing Equal Amount
Sylva and Sarah have 20 CZK together. If Sylva gives Sarah 6 CZK, they will have the same. Sylva has how many more CZK? - 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 - 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
Andrew digs the garden bed in 20 minutes and Jake does it in 30 minutes. How long does it take them working together? - The father wanted
A father wanted to divide his inheritance equally among all his sons and ordered: the eldest son would receive 1,000 CZK and one eighth of the remainder; the second would receive 2,000 CZK and one eighth of the new remainder; the third would receive 3,000 - 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 value puzzle
Number 1 is the value of the expression: a 5-3 b. 22 - 32 c. (2 - 3)² d. 2 - 32 e. 32 - 22 - Hare Food Consumption Days
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? - City visit arrangements
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?
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