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Geometry
1. Which of the given statements is correct?
a
c
b
d
(A) ab is a ray and cd is a line.
(B) ab is a line and cd is a ray.
(C) ab is a line segment and cd is a line.
(D) ab is a ray and cd is a line segment.
2. Which of the following forms an angle?
(A) Two rays with a common vertex called endpoint.
(B) Two lines with a common endpoint called vertex.
(C) Two rays with a common endpoint called vertex.
(D) Two rays with different endpoints.
3. What is the value, in degrees, of ∠c ?
a
850
600
b
(A) 45˚
(B) 35˚
(C) 40˚
(D) 55˚
c
4. If one angle of a triangle is an obtuse angle, then:
(A) One of the other two angles must be a right angle.
(B) One of the other two angles must be an obtuse angle.
(C) None of the other two angles can be acute.
(D) Both of the other two angles must be acute.
5. In a right angled triangle, if, the two acute angles are equal, then what is
their value in degrees?
(A) 30˚
(B) 60˚
(C) 45˚
(D) 50˚
6. Choose the correct statement:
(A) Every rhombus is a square.
(B) Every square is a rhombus and every rhombus is a parallelogram
(C) Every rectangle is a rhombus.
(D) Every parallelogram is a rhombus.
7. Choose the correct option with respect to the given diagram, classifying it
in as many ways as possible:
Given: ab = bd = dc = ca
a
d
b
c
(A) The quadrilateral is a square.
(B) The quadrilateral is a parallelogram, trapezium and a rectangle.
(C) The quadrilateral is a rhombus, parallelogram, rectangle and a
square.
(D) The quadrilateral is a rhombus and a square.
8. Three angles in a quadrilateral are 70˚, 80˚, & 120˚. What would be the
value of the fourth angle, in degrees?
(A) 90˚
(B) 100˚
(C) 130˚
(D) 110˚
9. Jimmy travels 30m north. Then, he turns towards the east and walks 40m.
He then turns southwards and walks 30m. Finally, he turns westwards and
walks 40m. Throughout his journey, his dirty shoes leave footprints. What
is the polygon traced by his footprints?
(A) Trapezium
(B) Pentagon
(C) Square
(D) Rectangle
10. For a trapezium, which of the following is true?
(A) All the sides must be congruent
(B) Both pairs of opposite sides should be parallel
(C) All angles must be right angles
(D) Any one pair of opposite sides should be parallel
11. How many diagonals does a pentagon have?
(A) 7
(B) 5
(C) 9
(D) 4
12. Which of the following statements is true?
(A) The diameter of a circle is twice its radius.
(B) The radius of a circle is twice its diameter.
(C) A circle is a quadrilateral.
(D) A circle is a polygon with more than four vertices.
13. How many lines of symmetry does a regular pentagon have?
(A) 2
(B) 1
(C) 5
(D) 6
14.
1m
5m
1m
1m
1m
2m
2m
1m
1m
5m
1m
1m
What is the perimeter of the diagram given above?
(A) 22 m
(B) 20 m
(C) 18 m
(D) 24 m
15. Given below is a parallelogram with opposite angles 60˚ & b˚. What is
the value of b?
b˚
60˚
(A) 45˚
(B) 30˚
(C) 120˚
(D) 90˚
16. The diagonal of a parallelogram divides it into:
(A) Two equilateral triangles.
(B) Two congruent triangles.
(C) Two isosceles triangles.
(D) Two scalene triangles.
17. Which of the following statements is true?
(A) The given solid is a pyramid
(B) The figure has a rectangular base
(C) The figure has a triangular base
(D) The figure has two pentagonal bases
18. Paige has a rectangular garden, which she wishes to get fenced. The length
of the garden is 20 m & the width is 14 m. If the carpenter charges $3 for
every meter of the fencing, how much would the total cost for fencing the
entire boundary of the garden be?
(A) $200
(B) $204
(C) $208
(D) $216
19. A triangle has all the three sides equal to each other in length. What kind
of a triangle would it be?
(A) Isosceles triangle
(B) Equilateral triangle
(C) Scalene triangle
(D) Obtuse angled triangle
20. A polygon has twice the no. of sides as that in a pentagon. How many
angles does this polygon have?
(A) 10
(B) 8
(C) 5
(D) 12
21. Which of the following set of angles would form a parallelogram?
(A) 65˚, 25˚, 60˚, 120˚.
(B) 30˚, 40˚, 30˚, 140˚.
(C) 150˚, 30˚, 150˚, 30˚.
(D) 90˚, 90˚, 60˚, 120˚.
22. Sam has a rectangular piece of land having an area of 600 sq. meters. The
length of the piece of land is 25m. What would be the breadth of this piece
of land?
25 m
(A) 30m
(B) 42m
(C) 25m
(D) 24m
25 m
23. Which of the given cuboids would have the same volume as that of a cube
of side measuring 8 meters?
32 m
4m
(A)
4m
16 m
16 m
(B)
16 m
16 m
(C)
4m
4m
64 m
(D)
4m
4m
24. A cardboard cube has sides measuring 4 cm each. What is the total surface
area of the cube?
(A) 32 sq. cm
(B) 96 sq. cm
(C) 128 sq. cm
(D) 16 sq. cm
25. Tiffany has a wall measuring 3m by 6m. She puts up a wall paper
measuring 2m by 4m on that wall. What would be the area of the wall that
is left uncovered?
(A) 6 sq. m
(B) 12 sq. m
(C) 10 sq. m
(D) 8 sq. m
26. Which of the following statements is true?
Given: ∠aod = ∠god = 90 0
c
d
b
a
e
f
o
(A) ∠aoc is obtuse & ∠aod is acute
(B)
∠aoc is acute & ∠aoe is obtuse
(C)
∠aob is obtuse
(D) ∠goc is acute
g
27. A Rubik’s cube is a perfect cube having three rows and three columns in
each side. 9 small squares make one side of the Rubik’s cube. If each small
square has an area of 1 sq. cm, what should be the total surface of the
Rubik’s cube?
(A) 54 sq. cm
(B) 81 sq. cm
(C) 27 sq. cm
(D) 36 sq. cm
28. Which of the following statements is true about a cone?
Base
Cone
(A) A cone has a triangular base.
(B) A cone has 2 bases, both being circular.
(C) A cone has one base, which is a circle.
(D) A cone has a rectangular base.
29. A certain quadrilateral has the following angles - 90˚, 100˚, 90˚, 80˚. No
two sides of this quadrilateral are congruent. What type of a quadrilateral is
it?
(A) Parallelogram.
(B) Square.
(C) Pentagon.
(D) Trapezium.
30. A 56 m rope is used as a square boundary for a vegetable garden. What is
the area within this boundary?
A
B
D
C
56 m long rope
(A) 216 sq. m.
(B) 196 sq. m.
(C) 169 sq. m.
(D) 256 sq. m.
Square boundary for vegetable
garden using the 56m rope as
Boundary or perimeter.