Free Printable Extra Practice Exercise on Geometry and Mensuration 2

Worksheets

Extra Practice Exercise on Geometry and Mensuration 2

Total questions: 20

Worksheet time: 40mins

Name

Class

Date

In the given figure, circle AXB passes through ‘O’ the centre of circle AYB. AX and BX and AY and BY are tangents to the circles AYB and AXB respectively. The value of y° is

180° – x°,

180° – 2x

½ (90° – x°)

90° – (x°/2)

In the figure, AB = x Calculate the area of triangle ADC ( $\angle B$ = 90°)

½ x² sin 30°

½ x² cos 30°

½ x² tan 30°

½ x² (tan 45° – tan 30°)

In the given figure SQ = TR = a, QT = b, QM ^ PR, ST is parallel to PR. m $\angle STQ$ = 30° m $\angle SQT$ = 90° Find QM.

(a + b)/2

2(a + b)

(2a + b)/2

(a + 2b)/2

In the figure given, AB is a diameter of the circle and C and D are on the circumference such that $\angle CAD$ = 40°. Find the measure of the $\angle ACD$

40°

50°

60°

None of these

Six solid hemispherical balls have to be arranged one upon the other vertically. Find the minimum total surface area of the cylinder in which the hemispherical balls can be arranged, if the radii of each hemispherical ball is 7 cm.

2056

2156

1232

None of these

In the following figure, there is a cone which is being cut and extracted in three segments having heights h₁ , h₂ and h₃ and the radius of their bases 1 cm, 2 cm and 3 cm respectively, The ratio of the volumes of the smallest segment to that of the largest segment is

1 : 27

27 : 1

1 : 19

None of these

In the following figure, there is a cone which is being cut and extracted in three segments having heights h1 , h2 and h3 and the radius of their bases 1 cm, 2 cm and 3 cm respectively, The ratio of the curved surface area of the second largest segment to that of the full cone is:

1 : 3

4 : 9

Cannot be determined

None of these

On a semicircle with diameter AD, Chord BC is parallel to the diameter. Further each of the chords AB and CD has Length 2 cm while AD has length 8 cm. Find the length of BC.

7.5 cm

7 cm

7.75 cm

Cannot be determined

In the given figure, B and C are points on the diameter AD of the circle such that AB = BC = CD. Then find the ratio of area of the shaded portion to that of the whole circle.

1 : 3

2 : 3

1 : 2

None of these

10.

In the given figure, ABC is a triangle in which AD and DE are medians to BC and AB respectively, the ratio of the area of $\Delta BED$ to that of $\Delta ABC$ is

1 : 4

1 : 16

Data inadequate

None of these

11.

Two identical circles intersect so that their centres, and the points at which they intersect, from a square of side 1 cm. The area in square cm of the portion that is common to the two circles is

$\pi$ /4

$\frac{\pi}{2}$ – 1

$\pi$ /5

÷2 – 1

12.

If the height of a cone is trebled and its base diameter is doubled, then the ratio of the volume of the resultant cone to that of the original cone is

9 : 1

12 : 1

6 : 1

13.

If two cylinders of equal volume have their heights in the ratio 2 : 3, then the ratio of their radii is

$\sqrt[]{3}:\sqrt[]{2}$

2 : 3

$\sqrt[]{5}:\sqrt[]{3}$

$\sqrt[]{6}:\sqrt[]{3}$

14.

Through three given non-collinear points, how many circles can pass.

Both 1 and 2

None of these

15.

The area of the rectangle ABCD is 2 and BD = DE. Find the area of the shaded region

$\sqrt[]{5}$

$2\ \sqrt[]{5}$

$\sqrt[]{\left(\frac{5}{2}\right)}$

16.

In a right-angled triangle, the square of the hypotenuse is equal to twice the product of the other two sides. The acute angles of the triangle are

30° and 30°

30° and 60°

15° and 75°

45° and 45°

17.

Find $\angle ALC$ if AB || CD

135

110

145

18.

If the sides of a triangle are in the ratio of ½ : 1 / 3 : ¼ , the perimeter is 52 cm, then the length of the smallest side is

12 cm

11 cm

8 cm

None of these

19.

The number of distinct triangles with integral valued sides and perimeter as 14 is

20.

A polygon has 65 diagonals. Then, what is the number of sides of the same polygon?

None of these

100 %

Extra Practice Exercise on Geometry and Mensuration 2

Total questions: 20

Worksheet time: 40mins

Similar Resources on Wayground