Geometrical Constructions - ICSE STD 6 MATHS Questions - Vidyadip

Question types

Geometrical Constructions question types

25 questions across 3 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

25

Questions

3

Question groups

5

Question types

[1 Mark Question Answer]

[2 Mark Question Answer]

[3 marks sum]

Sample Questions

Geometrical Constructions questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1[1 Mark Question Answer]1 Mark

Using ruler and compasses, construct an angle of : $45^{\circ}$

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Q 2[1 Mark Question Answer]1 Mark

Using ruler and compasses, construct an angle of : $90^{\circ}$

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Q 3[1 Mark Question Answer]1 Mark

Using ruler and compasses, construct an angle of : $30^{\circ}$

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Q 4[1 Mark Question Answer]1 Mark

Using ruler and compasses, construct an angle of : $120^{\circ}$

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Q 5[1 Mark Question Answer]1 Mark

Using ruler and compasses, construct an angle of : $60^{\circ}$

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Q 6[2 Mark Question Answer]2 Marks

Draw a line segment $AB =5.2 cm$. Take a point C on AB such that $AC =3 cm$. From C, draw $CD \perp AB$ using ruler and compasses.

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Q 7[2 Mark Question Answer]2 Marks

Draw a line segment $AB =4.8 cm$. Take a point P outside AB. From P, draw PQ $\perp AB$, using ruler and compasses.

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Q 8[2 Mark Question Answer]2 Marks

Draw a line segment $AB =5.3 cm$. Using ruler and compasses, draw the perpendicular bisector of AB.

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Q 9[2 Mark Question Answer]2 Marks

Draw $\angle POQ =110^{\circ}$ using a protractor. Bisect $\angle POQ$ using ruler and compasses.

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Q 10[2 Mark Question Answer]2 Marks

Draw $\angle XOY =53^{\circ}$ using a protractor. Bisect $\angle XOY$ using ruler and compasses.

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Q 11[3 marks sum]3 Marks

Draw a line segment $AB =4.6 cm$. Construct $\angle BAC =30^{\circ}$ and $\angle ABC =60^{\circ}$. Measure $\angle ACB$.

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Q 12[3 marks sum]3 Marks

Draw a line segment AB of length 6 cm. Draw a circle with AB as diameter. In this circle draw a chord of length 4 cm. Shade the minor segment of the circle.

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Q 13[3 marks sum]3 Marks

Mark any three points O, P, Q. Draw a circle with centre O and which contains P in its interior and Q in its exterior.

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Q 14[3 marks sum]3 Marks

Mark any two points P and Q on a paper. Using compasses, draw a circle with centre P and passing through Q.

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Q 15[3 marks sum]3 Marks

Take a point O on a paper. Draw a circle with centre O and radius 4.3 cm.

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