Math practice for 13 year olds - page 246 of 428
Number of problems found: 8556
- Triangle α and side
Side a in the right triangle has size a = 120 mm, angle α = 60°. How big is the hypotenuse c? - 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 = 3cm u = 5cm b =? - The pot
The pot is a cylinder with a volume of V = 7l and an inner diameter of d = 20cm. 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 three more in each calf stall than in a cow stall. What is the capacity of the stalls for cows, and wha - 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 = 5cm) and k2 (S2, r2 = 3cm) 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 Šárka have 20 CZK together. If Sylva gives Šárka 6 CZK, they will have the same. Sylva has how many more CZK?
- Competition Teams Member
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? - 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 - Cars Meeting Speed Difference
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 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
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