- For multiple-choice items, circle the letter of the only correct answer.
- For items with parts a) and b), write complete solutions in your notebook.
A. Point, line, segment, angle
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Points $A$, $B$ and $C$ are collinear, in this order, $AB = 7\text{ cm}$ and $BC = 5\text{ cm}$. The length of segment $AC$ is:
- a) $12\text{ cm}$
- b) $2\text{ cm}$
- c) $35\text{ cm}$
- d) $7\text{ cm}$
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Point $M$ is the midpoint of segment $AB$ and $AM = 4,5\text{ cm}$. The length of segment $AB$ is:
- a) $9\text{ cm}$
- b) $2,25\text{ cm}$
- c) $4,5\text{ cm}$
- d) $13,5\text{ cm}$
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An angle measuring $135{^\circ}$ is:
- a) acute
- b) right
- c) obtuse
- d) straight
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The result of $35{^\circ}48' + 24{^\circ}27'$ is:
- a) $60{^\circ}15'$
- b) $59{^\circ}75'$
- c) $59{^\circ}15'$
- d) $60{^\circ}75'$
B. Measurement units. Perimeters, areas, volumes
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The length $3,2\text{ m}$, expressed in centimetres, is:
- a) $32\text{ cm}$
- b) $320\text{ cm}$
- c) $3200\text{ cm}$
- d) $0,32\text{ cm}$
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The area $2,5\text{ dm}^{2}$, expressed in square centimetres, is:
- a) $25\text{ cm}^{2}$
- b) $250\text{ cm}^{2}$
- c) $2500\text{ cm}^{2}$
- d) $0,25\text{ cm}^{2}$
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A square has side $7\text{ cm}$. The area of the square is:
- a) $28\text{ cm}^{2}$
- b) $49\text{ cm}^{2}$
- c) $14\text{ cm}^{2}$
- d) $21\text{ cm}^{2}$
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The greatest of the lengths $0,5\text{ km}$, $480\text{ m}$, $4900\text{ dm}$ and $51000\text{ cm}$ is:
- a) $0,5\text{ km}$
- b) $480\text{ m}$
- c) $4900\text{ dm}$
- d) $51000\text{ cm}$
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A cube-shaped container with edge $20\text{ cm}$ is full of water. The amount of water in the container is:
- a) $8$ litres
- b) $80$ litres
- c) $0,8$ litres
- d) $800$ litres
C. Problems
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Work in your notebook, using a graduated ruler and a protractor.
a) Construct a segment $AB$ of length $6\text{ cm}$ and mark its midpoint, $M$. Write the length of segment $MB$.
b) Construct angle $MAC$ measuring $50{^\circ}$ and state the type of this angle.
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A rectangle is $1,2\text{ dm}$ long, and its width is $4\text{ cm}$ less than its length.
a) Calculate the perimeter of the rectangle, in centimetres.
b) Calculate the area of the rectangle, in square centimetres and in square decimetres.
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The ray $OC$ lies inside the right angle $AOB$, and $m(\sphericalangle AOC) = 37{^\circ}45'$.
a) Calculate the measure of angle $COB$.
b) State whether angles $AOC$ and $COB$ are congruent. Justify your answer.
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The floor of a room is a rectangle $5\text{ m}$ long and $4,2\text{ m}$ wide.
a) Calculate the area of the floor.
b) One box of parquet flooring covers $2,5\text{ m}^{2}$. Find the minimum number of boxes needed to cover the whole floor.