Math practice for 13 year olds - page 173 of 428
Number of problems found: 8555
- Grade 2
At the end of the year, the class teacher bought a mug and sweets for her students. One mug cost 15 CZK, a chocolate bar cost 12 CZK, and a wafer cost 9 CZK. The boys received a mug and chocolate, and the girls received a mug and a wafer. How many crowns - Ondra money
Dalibor asks Ondra: 'Ondra, how many crowns do you have?' Ondra replied: "If I added another CZK 200 to my money, I would have six times more than now." How many crowns does Ondra have? - Grandmother money distribution
Jana and Tomáš received a total of 105 CZK from their grandmother. Jana got a third more than Tomáš. How many crowns did everyone receive? - Triangle angle
In a right triangle, one acute angle is 20° smaller than the other. Determine the size of the interior angles in the triangle. - Forest clearing
A bark beetle attacked part of the forest. The first woodcutter would need ten shifts to clear the forest, the second 6 shifts, and the third five shifts. Calculate how many shifts the forest will take if they work together. - Spherical sector
The spherical sector has axial section has an angle of α = 120° in the center of the sphere, is part of a sphere with a radius r = 10 cm. Calculate the surface of this spherical sector. - Danube map length
On the map of Bratislava, with a scale of 1:200,000, the length of the river Danube is about 12.3 cm. Approximately how many km of Danube flows through this area? - Romeo Juliet height
Romeo is 20% taller than Juliet. What percentage is Julie lower than Romeo, who measures 180 cm? - Product shipping cost
The online store offers free shipping when you buy five or more products. The price of transport is 100 crowns. When you buy five products without shipping, we pay the same amount as when you buy three products with shipping included. How much does 1 piec - Sphere cube percentage
A sphere is placed inside the 10 cm cube to touch all the cube's walls. What percentage of the volume of a cube makes up the volume of a sphere? - Turnover change
The company's turnover for the period 2011-2013 increased by 3.7%. From 2013 to 2019, an average year-on-year decrease in turnover of 5% was recorded. What is the total relative change in turnover from 2013 to 2019? - Tent canvas
The tent with the floor has the shape of a regular quadrilateral pyramid with a base edge a = 2.4 m and a height of 1.8 m. How much canvas is needed for the tent? - Road ascent
The road rises by 8 m to 2000 m. Calculate its ascent in per mille. - What is
What is the height of a cylinder whose surface size is 602.88 cm² and the area of its shell is 376.8 cm²? - Ethanol turbine
How much power can we get if we pour ethanol on a mini turbine from a height of 1.5 m Volume Ethanol 0.2 m³. How much work does ethanol do? The casting time is 1.9 minutes. The density of ethanol is 789 kg/m². - The amphitheater
The amphitheater has the shape of a semicircle, the spectators sit on the perimeter of the semicircle, and the stage forms the diameter of the semicircle. Which spectators, P, Q, R, S, and T, see the stage at the greatest viewing angle? - Totem shed fitting
The boys wanted to store their hand-made totem 5.1 m high in the block-shaped shed, which measures 4 m, 3 m, and 2 m, for the winter. Will it fit in there at all? - Average speed
The car drove from city A to city B at 40 km/h and back to city A at a speed of 80 km/h. What was the average speed of the car? - Škoda cars At 8:30 AM, car Škoda 120 started from Prievidza at 60 km/h toward Bratislava. At 9:00, we started from Prievidza in the same direction as Škoda Rapid at 90 km/h. Where and when will Škoda Rapid catch up with Skoda 120?
- Car departure time
A bus left Žilina towards Bratislava at 9:00 a.m. at an average speed of 60 km/h. After a certain time, a Škoda Superb set off from Žilina in the same direction at a speed of 100 km/h and overtook the bus after 45 minutes. When did Škoda leave Žilina?
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