Planimetrics + reason - practice problems - page 5 of 11
Number of problems found: 212
- The door
The door to the apartment has a height of 2 m and a width of 80 cm. Calculate how many cm of sealing tape is needed to seal them. There are 5 m of seal tape. Is there be enough tape(write 0 = no, 1 = yes)? - Triangle ABC
Triangle ABC has side lengths m-1, m-2, and m-3. What has to be m to be a triangle a) rectangular b) acute-angled? - Squares
From the square with the integer side, cut out the square with the integer side so that the residual area is 100. What is the longest possible side of the larger square? - Integer sides
A right triangle with an integer length of two sides has one leg √11 long. How much is its longest side? - Intersections
How many intersections have circles with radius 16 mm and 15 mm if the distance of their centers is 16 mm? - Saw
Imagine that the saw blade with a diameter 40 cm has one tooth-colored with a different color. How long does the tooth's tip describe the path after 15 minutes if the blade is rotated 13365 times? - Snowman 2
On the medal, which has the shape of a circle with a diameter 18 cm, is sketched a snowman so that the following requirements are met: 1. snowman is composed of three circles, 2. space over the snowman is the same as under it, 3. diameters of all circles - Dimensions 26713
A rectangle with dimensions of 11 x 13 pieces consists of 11*13 = 143 small identical squares. How many squares, made up of nine small squares, can be drawn in this rectangle (squares can overlap)? - 14 sticks
I was cleaning up my attic recently and found a set of at least 14 sticks which a curious Italian sold me some years ago. Trying hard to figure out why I bought it from him, I realized that the set has the incredible property that there are no three stick - Folding table
The folding kitchen table is rectangular with an area of 168dm² (side and is 14 dm long). If necessary, it can be enlarged by sliding two semi-circular plates (at sides b). How much percent will the table area increase? The result round to one-hundredths. - Rectangle - parallelogram
A rectangle is circumscribed by a circle with a radius of 5 cm. The short side of the rectangle measures 6 cm. Calculate the perimeter of a parallelogram ABCD, whose vertices are the midpoints of the sides of the rectangle. - Centimeters 4170
In triangle ABC, we connected the centers of the sides, and we got a smaller triangle with an area of 14 cm². What is the content of triangle ABC in square centimeters? - Rectangle diagonals
It is given a rectangle with an area of 24 cm² and a circumference of 20 cm. The length of one side is 2 cm larger than the length of the second side. Calculate the length of the diagonal. Length and width are yet expressed in natural numbers. - Harry
Harry Thomson bought a large land in the shape of a rectangle with a circumference of 90 meters. He divided it into three rectangular plots. The shorter side has all three plots of equal length. Their longer sides are three consecutive natural numbers. Fi - Paving - joints
We are paving with rectangular pavement 18 cm × 24 cm was placed side by side in height in a row and the second row in width etc. How many times will the joints meet at a distance of 10 m? - Calculate 82878
Calculate in degrees the size of the acute angle made by the hands of the clock at half past six. - Chocolate
How many times do we have to break a chocolate bar composed of 10 × 12 pieces to get the 120 parts? - Quarter circle
What is the radius of a circle inscribed in the quarter circle with a radius of 100 cm? - ABCD square
In the ABCD square, the X point lies on the diagonal AC. The length of the XC is three times the length of the AX segment. Point S is the center of the AB side. The length of the AB side is 1 cm. What is the length of the XS segment? - Garden
The square garden area is 2/9 of triangle garden with sides 160 m, 100 m, and 100 m. How many meters of fencing need to fence a square garden?
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