9th Construction of Triangle CBSE Guess Paper

Section - A

Q.1 With a ruler and compass which of the following angles cannot be constructed?

(a) 60⁰ (b) 80⁰ (c) 900 105⁰

Q.2 With a ruler and compass which of the following angles can be constructed?

(a) 80⁰ (b) 90⁰ (c) 100⁰ 110⁰

Section - B

Q.3 Construct an angle of 45⁰ at the initial point of a given ray and justify the construction.

Q.4 Construct the following angles and verify by measuring them by a protractor.

(i) 75⁰ (ii) 135⁰

Section - C

Q.5 Construct Triangle PQR with base QR = 3.8 cm and <Q=75⁰ and PQ + PR = 7.9cm

Q.6 Construct a with base Triangle PQ R  a with base QR = 3.4 cm and <R=75⁰ and PQ - PR = 1.2cm

Q.7 Construct an equilateral triangle with sides 4cm.

Section -D

Q.8 Construct a triangle ABC in which and  < B = 60⁰ and <C = 45⁰ and  AB+BC+CA = 13 cm.

Q.9 Construct a right triangle whose base is 12cm and sum of its hypotenuse and other side is 18cm.

Q.10 Construct a with its perimeter = 11cm and the base angles of 75⁰ and 30⁰.

Answers:

Q.1 b Q.2 b

For more help Visit : JSUNIL TUTORIAL

8th(VIII)CBSE Chapter: Practical Geometry

Chapter: Practical Geometry:Constrtucton of Quadrilaterals

Q.1 Construct a quadrilateral ABCD in which AB = 4.4 cm, BC = 4 cm, CD = 6.4 cm, DA = 3.8 cm and BD = 6.6 cm

Q.2 Construct a parallelogram PQRS such that PQ = 5.2 cm, PR = 6.8 cm and QS = 8.2 cm

Q.3 Construct a rhombus with side 6 cm and one diagonal 8 cm. Measure the other diagonal.

Q.4 Construct if possible a quadrilateral ABCD give AB = 6cm, BC = 3.7 cm, CD =5.7cm, AD = 5.5 cm and BD = 6.1 cm. If not possible then give reasons for not able to construct it.

Q.5 Construct a quadrilateral ABCD in which AB = 3.8 cm, BC = 3cm, AD = 2.3 cm, AC = 4.5 cm and BD = 3.8 cm

Q.6 Construct a quadrilateral PQRS in which QR = 4cm, RP = 5.6 cm, PS = 4.5 cm, RS = 5cm and QS = 6.5 cm.

Q.7 Construct a quadrilateral ABCD in which AB = 6 cm, BC = 4cm, CD = 4cm, <B= 95=, and <C = 90⁰

Q.8 Construct a quadrilateral STUV where ST = 4.2 cm, TU = 3.6 cm, UV = 4.8 cm,

<T = 30= and <U = 150⁰

Q.9 Construct a quadrilateral ABCD in which AB = BC = 3cm, AD = 5cm , <A = 90⁰

and < B = 105⁰

Q.10 Construct a quadrilateral BDEF where DE = 4.5 cm, EF = 3.5cm, FB = 6.5cm,

< F = 50= and < E = 100⁰

8th CBSE Maths Sample Questions

1. Number by which 19602 be divided, So that the quotient is a perfect square is

(a) 2 (b) 9 (c) 3 (d) 4

Sol: (a)

2. If x + 1/x = 4, then the value of x²+1/x ²  is

(a) 12 (b) 16   (c) 14 (d) 20

Sol: (c)

3. The sum of the powers of the prime factors in 108  192 is

(a) 5 (b) 7 (c) 8 (d) 12

Sol: (d)

4. The factors of x⁴ + y⁴ +x²y² are

(a) (x² + y²)(x² + y² - xy) (b) (x² + y²)(x² - y²)

(c) (x² + y² + xy)(x² + y² -xy) (d) Factorization is not possible

Sol: (c)

5. A square of maximum size is inscribed in a circle with centre O and radius r. Find area excluding area of square?

(a) r² (p - 2)          (b) 2r² (2 - p )  (c) p (r² - 2)     (d) 8r² – 8r

Sol: (a)

6. A is the father of C and D is the son of B.E is the brother of A. If C is the sister of D, how is B related to E?

(a) Daughter (b) Brother-in-law (c) Husband (d) Sister-in-law

Sol:(d)

7. The perimeter of a square is twice the perimeter of a circle and their areas are AS and AC respectively then

(a) AS> AC (b) AC > AS   (c) AS = 2AC (d) AS = AC

Sol: (a)

8. Two poles, 15 m and 30m height, stand upright in a playground. If their feet be 36m  apart. The distance between their tops is :

(a) 21 m (b) 39 m   (c) 41 m (d) 36m

Sol: (b)

9. A  44m x 11m sheet is rolled along length to form a cylinder.  Find the volume of the cylinder

(a) 773 m³   (b) 773.5 m³   (c) 775.3 m³   (d) 753.5 m³  

Sol: (b)

10.If in a quadrilateral, diagonals are equal, then it cannot be a :

(A) Square (B) Parallelogram (C) Rhombus (D) Rectangle

Sol: (c)