Math practice for 13 year olds - page 398 of 422
Number of problems found: 8427
- 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 5.5 meters, and an angle opposite the base size is 94°. What is the distance from the base to the opposite vertex? - Bases
The length of the bases trapezium is in ratio 2:4. The length of the midline is 20. How long are the bases of a trapezoid? - Divers
20-member group of divers carries the air for 15 hours of diving. 4 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 26%, which is 1/9 more than in the prewar period. What was the share of that ethnicity in the prewar period? - 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 - 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 - 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? - Semicircle
The semicircle with center S and the diameter AB is constructed equilateral triangle SBC. What is the magnitude of the angle ∠SAC? - Trapezoid ABCD
Calculate the perimeter of trapezoid ABCD if we know the side c=12, b=19, which is also a height, and side d=32. - Ice cream in cone
The ice cream cone with a diameter of 5.4 cm is 1.2 dl of ice cream. Calculate the depth of the cone. - Cuboid diagonal
Calculate the volume and surface area of the cuboid ABCDEFGH, which sides a, b, and c have dimensions in the ratio of 10:8:9. If you know that the diagonal wall AC is 75 cm, and the angle between AC and space diagonal AG is 30 degrees. - Prism
The prism's base is a rhombus with a side 17 cm and a height 5 cm long. The height of the prism is 88% longer than the side length of the rhombus. Calculate the volume of the prism. - Hexagon A
Calculate the area of a regular hexagon inscribed in a circle with radius r=15 cm.
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