Math practice for 13 year olds - page 278 of 420
Number of problems found: 8399
- Regular quadrangular pyramid
The height of the regular quadrilateral pyramid is 6 cm, and the length of the base is 4 cm. What is the angle between the ABV and BCV planes? ABCD is the base, V is the vertex. - The sides
The sides of a rectangle are in a ratio of 2:3, and its perimeter is 1 1/4 inches. What are the lengths of its side? Draw it. - A boy
A boy of 1.7 m in height is standing 30 m away from the flagstaff on the same level ground. He observes that the angle of deviation of the top of the flagstaff is 30 degrees. Calculate the height of the flagstaff. - Rectangle Dimensions Reduce Ratio
Reduce the dimensions of the rectangle with dimensions of 21 cm and 3 dm in a ratio of 4:6. In what proportion will the areas of both rectangles be? - Bicycle Gear Options
Peter got a new bike for his birthday. His bike was equipped with many gears. How many gear options does Peter have if you have three wheels at the front and eight wheels at the back? List them all - Tank percentage
288hl of water was filled into a block-shaped tank with bottom dimensions of 12 m and 6 m and a depth of 2 m. What percentage of the volume of the tank did the water occupy? - Cuboid and cube
A block with edges of lengths of 10 cm and 8 cm has the same volume as a cube with an edge of the length of 1 dm. Calculate the third dimension of the block. Compare the ratio of the surfaces of both bodies. - Velocity calculation
Calculate the unknown velocity x if: 24 km/h. ... . .. .20 min x km/h. ... . .. .12 min - Workshop production ratio
They produced a total of 7,290 light bulbs in three workshops. How much did each workshop produce when we write their production in the ratio of 2:3:4? - Body Diagonal of Block
Calculate the length of the space diagonal of a block whose dimensions are a = 5 cm, b = 6 cm, c = 10 cm. - A regular
A regular triangular prism with a base edge of 20 dm and a height of 30 dm is drawn. Find the volume of the prism and the area of the shell. - Sweater Discounted Twice
The women's sweater was discounted twice. First 10% later by 10% of the new price, its final price was 324 CZK. Determine the price of the sweater. - Exchange Rate Pencils Erasers
Pupils exchanged pencils, erasers, and pens so that there were two pens for 15 pencils and three pencils for two erasers. How many erasers were there for one pen? - Rectangle Perimeter and Area
Perimeter and area of the rectangle. Diagonal 260 m and one side 150 m - Diamond diagonals
Calculate the diamonds' diagonal lengths if the diamond area is 156 cm² and the side length is 13 cm. - 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?
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