Maths practice for 14 year olds - page 241 of 361

Number of problems found: 7217

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?
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.
Prism and wall diagonal
The ABCDA'B'C'D' prism has a square base. The wall diagonal of the AC base is 9.9 cm long, and the body diagonal AC' is 11.4 cm long. Calculate the surface area and volume of the prism.
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.
Garden measurements
The lengths of the sides of the rectangular garden are in the ratio of 1:2. The connection of the centers of the adjacent sides is 20 m long. Calculate the perimeter and area of the rectangle.
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.
Rotating cone
How does the volume of the rotating cone change if: a) double the radius of the base b) We reduce the height three times c) Reduce the radius of the base five times
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?
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.

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