Math practice for 13 year olds - page 277 of 413

Number of problems found: 8260

Shadow of tree
Martin stands under a tree and watches its shadow and shadow of the tree. Martin is 180 cm tall, and its shade is 1.5 m long. The tree's shadow is three times as long as Martin's shadow. How tall is the tree in meters?
Right angled triangle 3
Side b = 1.5, hypotenuse angle A = 70 degrees, Angle B = 20 degrees. Find the length of its unknown sides.
Soaps
Each box has the same number of soaps. A quarter of all boxes contain only white soaps, and in each of the remaining 120 boxes, there are always half the white soaps and half the green. White soaps total 1200. (a) the number of all soap boxes; (b) the sma
Two equations
Solve equations (use adding and subtracting of linear equations): -4x+11y=5 6x-11y=-5
Product - price
The original price of the product was 6,300. We reduced the product price by 10 percent twice. What is its final price?
Sunflower Seeds Eating
Jane and Dana had a total of 125 sunflower seeds. When eating, Jane was smarter and ate 13 more seeds. They gave the last 6 seeds to the parrot. How many seeds did Jane eat, and how many did Dan eat?
Three 43
Three brothers inherited a cash amount of 62,000 and divided it among themselves in the ratio of 5:4:1. How much more is the largest share than the smallest share?
Roof cover
Above the pavilion with a square ground plan with a side length of a = 12 m is a pyramid-shaped roof with a height v = 4.5 m. Calculate how much m² of sheet metal is needed to cover this roof; if 5.5% of the sheet, we must add for joints and waste.
Simple right triangle
Right triangle. Given: side c = 18.8 and angle beta = 22° 23'. Calculate sides a, b, angle alpha, and area.
Alpha angle
Right triangle. Given: side c = 15.8 and angle alpha = 73°10'. Calculate side a, b, angle beta, and an area.
Cyclist meeting
Martha will leave Včelná on a bicycle at 12 km/h. From Holešovice, which is 32 km from the village of Včelná, at the same moment, Eve will drive towards it at a speed of 18 km/h. How long and where will they meet?
Surface area 6
Find the surface area of a prism whose bases are right triangles with sides of length 3, 4, and 5 inches and a height of 8 inches. Include a sketch
Triangle calculations
Right triangle. Given: side b = 15.8 angle alpha = 15° 11`. Calculate the side a, c, beta angle, and area.
Cube Surface from Section
The cube A B C D A'B'C'D 'has a section area ACC'A' equal to 64 square root of 2 cm². Calculate the surface of the cube.
Cube cut
The cube ABCDA'B'C'D ' has an edge of 12 cm. Calculate the area of diagonal cut B DD'B '.
Divide
Divide the area of rectangles with dimensions of 32 m and 10 m by the ratio of 7:9. What area corresponds to a smaller section?
Body diagonal - cube
Calculate the surface and cube volume with a body diagonal 15 cm long.
Cube Edge Volume Change
How does the volume of a cube change if we double the length of its edge?
Cuboid Height from Surface
The cuboid with a base measuring 17 cm and 13 cm has a surface of 1342 cm². Calculate the height of the cuboid and sketch its network.
Three-fifths
Three-fifths of the school's students are girls. What percentage are boys?

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