CBSE Class 8 Mathematics Understanding Quadrilaterals Worksheet Set C

Question. Look at the group of figures in the box here. Which of the following properties fit ALL the figures in the box?

(a) All the sides are equal and at least one pair of sides is parallel
(b) At least one pair of sides is parallel and all the interior angles are acute
(c) At least one pair of sides is parallel and all the angles are equal
(d) All the sides are equal and all the interior angles are obtuse

Answer : A

Question. Some students are measuring and examining diagonal properties of quadrilaterals in their Geometry class. They have so far measured four quadrilaterals given in a worksheet and recorded their findings in a table as shown below. Which of the quadrilaterals measured by the students is a rectangle?

(a) EFGH
(b) IJKL
(c) MNOP
(d) QRST

Answer : D

Question. ABCD is a trapezium with AB parallel to CD. Which of the following CANNOT be concluded based on this?

(a)  L1 = L4
(b)  L2 = L3
(c)  L1 + L2 + L6 = L1800
(d)  L3 + L4 + L5 = L1800

Answer : B

Question. Five identical rectangular pieces of cloth of different prints when arranged as shown form a square patch. If the perimeter of each rectangular piece is 48 cm, what is the perimeter of the square patch?

(a) 240cm
(b) 120cm
(c) 96cm
(d) 80cm

Answer : D

Question. Rahul and Tapan are playing a guessing game with shapes. Rahul draws a quadrilateral and answers Tapan's questions as follows:  
Tapan:  Are all its sides equal?
Rahul:  Yes.
Tapan: Are its diagonals equal?
Rahul: No. Which of the following is the MOST accurate description of the shape that Rahul has drawn?
(a) Square 
(b) Rectangle
(c) Parallelogram
(d) Rhombus

Answer : D

Question. An equilateral triangle TSR is to be drawn on base SR of square PQRS. Where will point T lie?

(a) Inside square PQRS
(b) On the midpoint of side PQ
(c) Exactly on point P
(d) Outside the square, over the top of PQ

Answer : B

Question. Using which set of sticks can a triangle be formed?

Answer : A

Question. The figure below is called a network. It is made up of links and nodes. The aim is to start from a node and complete a full route of the links WITHOUT REPEATING ANY LINK (though a node may be repeated). Is it possible to do this?

(a) It is possible starting from any node.
(b) It is possible only if we start from nodes 1 or 2
(c) It is possible only if we start from nodes 3 or 4
(d) It is not possible.

Answer : C

Question. A triangular array is formed by placing 15 identical plasticchips. The LEAST number of chips that have to be moved to INVERT the triangle (to an upside-down arrangement) is

(a) 10
(b) 7
(c) 5
(d) 4

Answer : C

Question. According to Nadeem's classification, which box or boxes would contain Parallelograms?
Answer the question based on the given information. 
Nadeem is drawing a flowchart to classify quadrilaterals. 

(a) both P and Q
(b) both Q and R
(c) only Q
(d) only R

Answer : B

Question. Qadir wanted to form a triangle with exactly 12 identical matchsticks, without bending or breaking any. He makes one side of the triangle with 6 matches.   How many matchsticks should he use for the other two sides (respectively)?

(a) 3 matchsticks, 3 matchsticks
(b) 4 matchsticks, 2 matchsticks
(c) 5 matchsticks, 1 matchstick
(d) He will not be able to make a triangle.

Answer : D

Question. The length of the worm shown next to the ruler below is about

(a) 7.5cm
(b) 10cm
(c) 15cm
(d) 22.5

Answer : B

Question. What number should come in the box to make the following statement true? 34 + 32 = 9  x ,,,,,,,,,,
(a) 4
(b) 7
(c) 10
(d) 81

Answer : C

Question. What percent of figure 1is figure 2?

(a) 33%
(b) 150%
(c) 200%
(d) 300%

Answer : C

Question. To boost sales, a car company slashed the price of a particular model by one eighth from the existing price of Rs. 5.26 lakhs. The price was brought down by about
(a) Rs 4400
(b) Rs 6600
(c) Rs 44000
(d) Rs 66000

Answer : D

Answer 14: D

Answer 15: A

Answer 16: B

Answer 17: B

Answer 18: B

Answer 19: B

Answer 20: C

Answer 21: D

22 Each interior angle of a regular polygon is 150°. How many sides has the polygon ?
(A) 8
(B) 12
(C) 9
(D) 10
Answer : B

23 In the figure, ABCD is a trapezium and AD = AE.

Find the value of 'x:
(A) 30°
(B) 40°
(C) 60°
(D) 50°
Answer : A

24 The figure shows a hexagon ABCDEF. ∠ A = L D = 100°. The other angles are of the same size.

Find ∠ABC.
(A) 100°
(B) 110°
(C) 130°
(D) 120°
Answer : C

25 Each interior angle of a regular polygon is 162°. How many sides has the polygon?
(A) 12
(B) 20
(C) 16
(D) 10
Answer : B

26 ABCD is a quadrilateral such that AB = BC, AD = 1/2 CD and AD = 1/4 AB.
If BC = 12 em, what is the measure of AD ?
(A) 6 cm
(B) 4 cm
(C) 12 cm
(D) 3 cm
Answer : C

27 In the figure given, BD II A E. If CE = 3 cm, what is the length of AC ?

(A) 4
(B) 3√3
(C) 3
(D) 5
Answer : D

28 How many measurements are required to construct a quadrilateral ?
(A) 5
(B) 4
(C) 3
(D) 2
Answer : A

29 How many unique measurements are needed to construct a parallelogram ?
(A) 2
(B) 3
(C) 4
(D) 1
Answer : B

30 What is the minimum number of dimensions needed to construct a rectangle?
(A) 1
(B) 2
(C) 3
(D) 4
Answer : B

31 What is the minimum number of measurements needed to construct a square?
(A) 1
(B) 2
(C) 3
(D) 4
Answer : A

32 In the diagram, KLMN is a constructed parallelogram. What is the measure of ∠KLM?

What is the value of p + q + r + s + t?
(A) 200°
(B) 270°
(C) 360°
(D) 540°

Answer 32: C

Answer 33: B

Answer 34: B

35 In a trapezium ABCD,AB is parallel to CD and the diagonals intersect each other at O. What is the ratio of OA and OC ?
(A) OB/OD
(B) BC/CD
(D) AD/AB
(B) AC/BD
Answer : A

Please click the below link to access CBSE Class 8 Mathematics Worksheet - Understanding Quadrilaterals (1)