Planimetrics - practice for 12 year olds - page 16 of 49
Number of problems found: 966
- Returning 27121
Two gears – one smaller and one larger rotate so that the teeth of both wheels mesh together. The first wheel has 18 teeth, the second 27. How often does each wheel turn before returning to its starting position? - Perimeter 20283
If we increase the length of one pair of opposite sides of the square by 2 cm and the length of the other two sides by 1 cm, we will create a rectangle, the perimeter of which will be 10% larger than the perimeter of the original square. What is the side - Dimensions 7131
The paper has dimensions 220mm and 308mm. We need to cut it into as large a square as possible. What will be the side of this square? - Square tiles
The room has dimensions of 12 meters and 5.6 meters. Determine the number of square tiles and their largest dimension to exactly cover the floor.
- Smallest 44681
What is the smallest width of the pool to be divided without rest into equally wide tracks, either 80cm or 1m, or 120cm? - Rhumbline
Find the circumference and area of the rhumbline ABCD if the short side AD has a length of 5 cm, and the heel of the height from D leading to the AB side divides the AB side into two sections of 3 cm and 4 cm. - Rectangular 82582
We have to pave the smallest possible square with rectangular tiles with 168 cm and 280 cm sides. What will its side of the square be? - Rectangular 22761
We will pave a square plot of land from rectangular tiles with 25 cm and 30 cm dimensions. What is the smallest square plot we can pave with these tiles without cutting them? - A map
A map with a scale of 1:5,000 shows a rectangular field with an area of 18 ha. The length of the field is three times its width. The area of the field on the map is 72 cm square. What is the actual length and width of the field?
- Rectangle
The length of the rectangle is 12 cm greater than three times its width. What dimensions and area this rectangle has if its circumference is 104 cm? - The perimeter 6
The perimeter of the quadrilateral is 442.95 cm. The three known sides measure 84.56 cm,132.77 cm, and 82.75 cm. How long is the fourth side? - Midpoints
Triangle ABC with sides a = 5 cm, b = 3 cm, c = 40mm has a midpoint of K, L, M. How many centimeters is the long perimeter of parallelogram KBLM? - Rectangular 82803
A rectangular flower bed, one side formed by a wall, must be fenced off with 8-meter-long mesh. What should the flower bed length be so the content is as large as possible? - Circumference 6040
The picture shows a square net in which the side of one square is 1 cm long. Draw a rectangle with an area of 18 squares with a circumference of 22 cm.
- Corresponding 59063
Calculate the radius and area of the circular segment if the center angle = 106° and the length of the corresponding circular arc is l = 52 cm. - Circumference 46801
Calculate side b and the height of the trapezoid if a = 5.1cm; c = 6.8cm; d = 4.7cm; circumference is 21cm, and the area is 17.85 cm². - Circumference 8137
One side of the rectangle is 8 cm long. When we enlarge the dimensions of this rectangle four times, we get a rectangle with a circumference of exactly 1m. How many mm does the other side of the unmagnified rectangle measure? - Matches
George poured out-of-the-box matches and composed their triangles, and no match was left. Then he tried squares, hexagons, and octagons, and no match was left. How many matches must be at least in the box? - Expression 19303
The area of the diamond is 112 cm square, and the length of its side is given by the expression x + 5 cm. Calculate this length if the height of the diamond is v = 7 cm.
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Planimetrics - math word problems. Maths practice for 12-year-olds.