3 Marks Question

Question 13 Marks

Draw ray $PQ$ as shown in the figure. Using the protractor, make an angle of $15^\circ $ with one hand $PQ.$

Answer

Draw a ray $PQ$ as given in the question. Place the protractor on the ray $PQ$ such that its center coincides with the point $P$ and the diameter of the protractor coincides with $PQ$. Mark a point $B$ against the mark of $15^\circ $ on the protractor. Remove the protractor and draw $PB$. $\angle\text{Q$PB$}$ is the required angle of $15^\circ .$

View full question & answer→

Question 23 Marks

Construct line segments whose lengths are: $4.8\ cm.$

Answer

Draw a line L on the paper and mark a point $A$ on it. Take a compass and place its metal point at zero mark of the ruler. Adjust the compass such that the pencil point is at $4.8\ cm$ mark on the ruler. Now, take the compass to L such that its metal point is on point A. Mark a small mark at $B$ on $L$ corresponding to the pencil point of the compass. $AB$ is the required line segment of $4.8\ cm.$

View full question & answer→

Question 33 Marks

Construct line segments whose lengths are: $12\ cm \ 5\ mm$

Answer

Draw a line L on the paper and mark a point A on it. Take a compass and place its metal point at zero mark of the ruler. Adjust the compass such that the pencil point gets placed at the point which is $5$ small points from the mark of $12\ cm$ to $13\ cm$ of the ruler. Now, take the compass to $L$ such that its metal point is on A. Mark a small mark at $B$ on $L$ corresponding to the pencil point of the compass. $AB$ is the required line segment of $12\ cm \ 5mm.$

View full question & answer→

Question 43 Marks

Construct line segments whose lengths are: $7.6\ cm$

Answer

Draw a line $L$ on the paper and mark a point $A$ on it. Take a compass and place its metal point at zero mark of the ruler. Adjust the compass such that the pencil point gets placed at the point which is $6$ small points from the mark of $7\ cm$ to $8\ cm$ of the ruler. Take the compass to $L$ such that its metal point is on $A$. Mark a small mark at $B$ on the line $L$ corresponding to the pencil point of the compass. $AB$ is the required segment of $7.6\ cm.$

View full question & answer→

Question 53 Marks

Draw a line $PQ$. Take a point $R$ on it. Draw a line perpendicular to $PQ$ and passing through $R$. Ruler and compasses.

Answer

Draw a line $PQ$ and take a point $R$ on it. With $R$ as centre and taking a convenient radius, construct an arc touching the line $PQ$ at two points $A$ and $B$. Now, with $A$ and $B$ as centres and radius greater than $AR$, construct two arcs cutting each other at $S$. Join $RS$ and extend it in both directions. This is the required line, which is perpendicular to $PQ$ and passes through $R.$

View full question & answer→

Question 63 Marks

Draw ray $RS$ as shown in the figure. Using the protractor, make an angle of $138^\circ $ with one hand $PQ.$

Answer

Draw a ray $RS$ as given in the question. Place the protractor on ray $RS$ such that its centre coincides with the point $R$ and diameter of the protractor coincides with $RS$. Mark a point T against the mark of $138^\circ $ on the protractor. Remove the protractor and draw $RJ.$
$\angle\text{SRT}$ the required angle of $138^\circ .$

View full question & answer→

Question 73 Marks

Draw a line $PQ$. Take a point $R$ on it. Draw a line perpendicular to $PQ$ and passing through $R.$ Using ruler and a set-square.

Answer

Draw a line $PQ$ and take a point $R$ on it. Place a set-square, such that its one arm of the right angle is along the line $PQ .$ Without disturbing the position of the set-square, place a ruler along its edge. Now, without disturbing the position of the ruler, remove the set-square and draw a line $MN$ through point $R$. $MN$ is the required line perpendicular to line $PQ$ passing through $R.$

View full question & answer→

MATHS 3 Marks Question

Take a timed test