Multiplication + planimetrics - practice problems - page 5 of 6
Number of problems found: 107
- Parcel
Both dimensions of the rectangular parcel were increased by 31%. By how much % has it increased its acreage? - Glass
Peter broke the window glass with sizes 110 cm and 90 cm. 1 square meter of glass costs 11 USD. How much money is needed to pay for a new glass? - 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 - Snowman
In a circle with a diameter of 40 cm are drawn three circles (as a snowman) where: its diameters are integers, each larger circle diameter is 2 cm larger than the diameter of the previous circle. Determine snowman height if we wish for the highest snowman
- Combi-triangle
Each square side is marked 10 different points outside the square's vertices. How many triangles can be constructed from this set of points, where each vertex of the triangle lies on the other side of the square? - Similarity coefficient
The similarity ratio of two equilateral triangles is 4.3 (i.e., 43:10). The length of the side of the smaller triangle is 7.5 cm. Calculate the perimeter and area of the larger triangle. - Chocholate
The table of chocolate is divided into squares on its surface. Lengthwise has 15 squares and widthwise 19 squares. We must chocolate broke into individual squares. How many times have we broken it to get only individual squares? It is not permitted to bre - XY triangle
Determine the area of a triangle given by line 7x+8y-69=0 and coordinate axes x and y. - Parallelogram
Calculate the area and perimeter of a parallelogram whose two sides are long a=24 cm b=22 cm and height ha = 6 cm long.
- Ray
Light ray loses 1/14 of brightness passing through a glass plate. What is the brightness of the ray after passing through 10 identical plates? - 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? - Hexagon
Draw a regular hexagon inscribed in a circle with a radius r=8 cm. What is its perimeter? - Observer
The observer sees a straight fence 100 m long in 30° view angle. From one end of the fence is 102 m. How far is it from another end of the fence? - Count of triangles
On each side of an ABCD square is 10 internal points. Determine the number of triangles with vertices at these points.
- Hands
The clock shows 12 hours. After how many minutes will the angle be between the hour and minute hand 90°? Consider the continuous movement of both hands for hours. - Windows
Calculate the masonry area to build a wall with dimensions of 18 m × 5 m with 3 windows of size 51 cm × 51 cm. - Carpet
The room has a rectangular shape with dimensions 5 m × 2.1 m. How many meters of carpet does a width of 2 need to buy to cover the entire room? - Movement
From the crossing of two perpendicular roads started two cyclists (each on a different road). One runs at an average speed of 28 km/h, and the second 24 km/h. Determine the distance between them after 45 minutes of cycling. - Steps
How many steps do you save if you go square estate for diagonal (crosswise) rather than circumvent the two sides of its perimeter with 458 steps?
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