Math practice for 13 year olds - page 401 of 426
Number of problems found: 8519
- Gasholder
The gasholder has a spherical shape with a diameter of 26 m. How many cubic meters (m³) can hold in? - Flowerbed 2
Around the square flower bed in a park is a sidewalk about 1.3 m wide. The area of this sidewalk is 246 m². What is the area of the flowerbed? - Trapezoid ABCD v2
Trapezoid ABCD has a length of bases in the ratio 2:7. The area of triangle ACD is 140 dm². What is the area of trapezoid ABCD? - Carpenter
A carpenter cut off a small cuboid block with half the edge length from a wooden block. How many percent of wood did he cut off? - Sales vs profit
Apple sells 46 percent less computes than Acer, but its sales are 7.8 times higher than Acer. How many times have Apple computers been more expensive than Acer? - The professor's birthday
Professor of mathematics had 44 birthdays. The director congratulated him. The professor asked the director: "And how old are you?" The director replied: "I'm exactly twice as many years as you were when I was old as to you today." How old is the director - Flowerbed
The flowerbed has the shape of an obtuse isosceles triangle. The arm has a size of 7.6 meters, and an angle opposite the base size is 124°. What is the distance from the base to the opposite vertex? - Bases
The length of the bases trapezium is in the ratio 2:4. The length of the midline is 20. How long are the bases of a trapezoid? - Divers
25-member group of divers carries the air for 10 hours of diving. 2 members of the expedition were sick or weren't coming. How many hours is sufficient air to other divers? - Racer
The first racer runs at a speed 22 m/s and is 880 meters before the finish and ahead 68 meters before the second competitor. At what speed must the second racer run to catch the first racer at the finish line? - Ethnicity
The share of ethnicity XY is 73%, which is 1/5 more than in the prewar period. What was the share of that ethnicity in the prewar period? - Tram
In the three-part tram went 66 passengers in front of others, 48 after others and in the middle half. How many passengers went on the tram in total? - Car
The driver of a car is to get to 454 km distant city. The atlas found that 54 km will have to pass through the cities at an average speed of 48 km/h. The remainder of the journey passes outside the cities at an average speed of 97 km/h. Calculate how many - Brunette
The girls attending primary school are 80% blondes and 20% brunettes. 32% blondes and 68% brunette has blue eyes. How many girls attend school altogether if 490 girls have blue eyes? - Circle section
An equilateral triangle with side 33 is an inscribed circle section whose center is in one of the triangle's vertices, and the arc touches the opposite side. Calculate: a) the length of the arc b) the ratio between the circumference to the circle sector a - Round table
A round table with a diameter d = 133 cm is coated by a square tablecloth with a side length 156 cm. About how many cm is the higher center of the tablecloth than its corners? - Prism X
The prism with the edges of the lengths x cm, 2x cm, and 3x cm has a volume 29478 cm³. What is the area of the surface of the prism? - Painter Pavel
Painter Pavel painted the fence for 14 hours, and painter Petr painted the same fence for 12 h. How long should it take to paint the fence together? - Cable car 2
The cable car rises at an angle of 16° and connects the upper and lower station with an altitude difference of 1082 m. How long is the cable car's track? - The bridge
Across the circle, the lake passes through its center bridge over the lake. At three different locations on the lakeshore are three fishermen, A, B, and C. Which of the fishermen sees the bridge from the largest angle?
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