Polygons

1003021308

Level: 
A
Choose the wrong claim:
The sum of the opposite angles in a rectangle is 360∘.
The sum of the interior angles of a convex n-gon is (n−2)⋅180∘.
If there is just one pair of sides parallel in a quadrilateral and the other side is perpendicular to them, then the quadrilateral is a right-angled trapezium.
At least one of the interior angles in a trapezium is obtuse.

1003021307

Level: 
A
Choose the wrong claim:
The diagonals of a rhombus contain an acute angle.
In each parallelogram the opposite angles are congruent.
If one of the interior angles of a quadrilateral is greater than straight angle, the quadrilateral is not convex.
All interior angles in a square are right.

9000150502

Level: 
C
Two hotels and a lake are in a satellite photo. The distance between the hotels is 400m which is 4cm in the photo. The area of the lake in the photo is 30cm2. Find the real area of the lake.
3⋅105m2
3⋅101m2
3⋅103m2
There is not enough information to solve this problem.

9000124502

Level: 
C
A rectangle-shaped land has dimensions 3×5cm on a map with scale 1:2000. The owner increased the size of his land by buying some land from his neighbor. The new land has dimensions 4×5cm on the map. Find the actual increase of the perimeter of the land (i.e. find the increase in the length of the fence required to enclose the whole land). Give your answer in meters.
40m
20m
80m
10m