Math practice for 13 year olds - page 397 of 422
Number of problems found: 8427
- 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? - 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? - 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. - Sector
The perimeter of a circular sector with an angle 0.7 rad is 53 cm. Determine the radius of the circle from which the sector comes. - Flowerbed
On the flowerbed were planted 310 flowers - pansies and crayons during the first week, wilts quarter of pansies and an eighth crayons, which is 20% of all flowers. How many pansies were planted on the flowerbed? - 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. - Slope of the pool
Calculate the slope (ratio rise:run) of the bottom of the swimming pool long 40 m. The water depth at the beginning of the pool is 1.09 m (for children), and the depth at the end is 1.88 m (for swimmers). Calculated slope write it as a percentage and also - Three workers
Three workers, A, B, and C, must work on a specific task. Workers A and B completed the task in 19 days, B with C for 19 days, and A with C for 11 days. How long would it take to complete the task for everyone alone? How long would it take to complete the
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