Math practice for 13 year olds - page 170 of 434
Number of problems found: 8666
- The garden
The garden is an isosceles trapezoid with bases 64 m and 24 m long and a height of 25 m. If a fifth of the area is occupied by a cottage, lawn, and path, in what garden area is it possible to grow vegetables? - Tourist 39691
How far from the lookout tower, 48 m high, did the tourist stand if he saw its top at an angle of 40°? - Hemispherical dome
What is the coverage area of the painting of a hemispherical dome with a diameter of 8 m? - Together 39671
Three workers were to lay the parquet floor. If everyone worked alone, the first would finish the job in 30 hours, the second in 24 hours, and the third in 20 hours. How long will they do the floor if they work together? - Mrs Perry
Mrs. Perry shares 25 biscuits between Gemma and Zak in a ratio of 1:4. How many biscuits have each? - Zubrohlava 39643
From Zubrohlava to Bobrov, there is one asphalt road, two forest roads, and one bike path. Find the number of ways we can get from Zubrohlava to Bobrov and back. List all options. - Quadrilateral 39633
A regular quadrilateral pyramid is given: a = 27 mm, w = 21 mm (wall height). Calculate the height, volume, and surface area of the pyramid.
- Dimensions 39623
In the form of a pyramid with a square floor plan, the house's roof has dimensions of 12 x 12 m, at the highest point, a height of 2 m. How much roofing do we need to buy? Count on a 10% reserve. - Pyramid of Giza
The Great Pyramid of Giza is shaped like a regular quadrangular pyramid. The base edge is 227 m long, and the pyramid is 140 m high. What is the weight of the stone needed to build this pyramid if the weight of 1 m³ of stone is 2.5 t? - 20-meter-long 39603
Two workers will pave a 20-meter-long sidewalk in 5 days. Determine how long it would take to pave the sidewalk: a) 4 workers b) 5 workers c) 10 workers - Truncated pyramid
Find the volume and surface area of a regular quadrilateral truncated pyramid if base lengths a1 = 17 cm, a2 = 5 cm, and height v = 8 cm. - Truncated pyramid Find the volume of a regular 4-sided truncated pyramid if a1 = 14 cm, a2 = 8 cm, and the angle that the side wall with the base is 42 degrees.
- Together
The three friends divided the balls in a ratio of 6:5:4. Some two got 126 balls. How many balls were there together? - 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 got a mug and chocolate, the girls got a mug and a wafer. How many crowns did the teache - Replied: 39523
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 39513
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? - Determine 39503
In a right triangle, one acute angle is 20° smaller than the other. Determine the size of the interior angles in the triangle. - Woodcutter 39491
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. - A spherical segment
The aspherical section, whose axial section has an angle of j = 120° in the center of the sphere, is part of a sphere with a radius r = 10 cm. Calculate the cut surface. - Approximately 39443
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?
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