The Andhra Pradesh Board of Secondary Education was established in 1953 and is known for its quality education standards not just in India but also abroad. It work as an autonomous body under the department of education. It executes and supervise various activities like conducts exams, provides direction, support and leadership for the educational system. The exams are conducted in the month of March and April. Here in this post, we have tried to made available Solved Andhra Pradesh Board Maths Sample Paper for Class 9. Solved papers gives better idea of Paper pattern and the right way to answer the question asked. While preparing this paper some help has been taken from few Evergreen sample papers. The questions are based on the syllabus of ANDHRA PRADESH BOARD. You can revise Physics and Chemistry Formulae to save your time.
Maths Sample Paper for Class 9 Andhra Pradesh Board
Instructions to be followed:
(a) This Sample Consists of four sections as
- Section A:1 to 10 Questions with 1 Mark allotment.
- Section B:11 to 18 Questions with 3 Mark allotment.
- Section C: 19 to 27 Questions with 4 Mark allotment.
- Section D: 28 to 32 Questions with 5 Mark allotment.
(b) All questions are compulsory.
(c) Marks are allotted to each question for your convenience.
SECTION A [ ONE MARK QUESTIONS ]
1. The coordinates of the point of intersection of the lines x = −8 and y = 5 are:
A. (8, 5)
B. (-8, 5)
C. (8, -5)
D. (-8, -5)
2. x = 2 and y = 5 is a solution of:
A. x + 2y = 12
B. x + y = 12
C. 2x + y = 10
D. x – 2y = 10
3. If the angles of a quadrilateral are in the ratio of 2 : 4 : 5 : 7, then their angle measure is:
A. 36 °, 58 °, 125 °, 141 °
B. 40 °, 80 °, 100 °, 140 °
C. 48 °, 72 °, 96 °, 144 °
D. 48 °, 52 °, 174 °, 86 °
4. PQRS is a parallelogram with PR = 7.8 cm and QS = 6 cm. If PQ and QS intersect each other at O, then find the value of OP and OQ?
A. 3.7 cm, 3 cm
B. 4.9 cm, 4 cm
C. 3.9 cm, 3 cm
D. 3 cm, 3 cm
5. The region occupied by a simple closed figure in a plane is called:
6. One-fourth of a circular disk is called a:
7. In the figure given here, if O is the centre of the circle, find the value of x
A. 65 degree
B. 50 degree
C. 60 degree
D. 70 degree
8. ABCD is a trapezium in which AB || DC. Then ar (∆AOD)= ____.
C. ar (BDC)
D. ar (ABD)
9. If 5.5 cm is the edge of a cube then its surface area is:
A. 172 m2
B. 181.5 m2
C. 160 m2
D. 150.2 m2
10. The probability of getting a number less than 5 in a single throw of a die is:
SECTION B [ THREE MARK QUESTIONS ]
11. Write four solutions of the equation 3x + y = 4.
SOL:- Given: 3x + y − 4 = 0, y = 4 − 3x
Putting x = 0, we get y = 4 − 3(0) = 4− 0 = 4
Putting x = 1, we get y = 4 −3(1) = 4− 3 = 1
Putting x = 2, we get y = 4−3(2) = 4− 6 = −2
Putting x = 3, we get y = 4 −3(3) = 4−9 = −5
Solutions of the given equation are (0, 4), (1, 1), (2, −2) and (3, −5).
12. In ΔABC, D and E are the mid-points of AC and BC, respectively. If DE = 11.5 cm, then find the length of AB.
SOL:- Given, DE = 11.5cm
By the mid-point theorem,
DE is parallel to AB and half of it
= 2 × 11.5
AB = 23 cm
Hence, the length of AB is 23 cm.
13. ABCD is a parallelogram. P is a point on AD such that AP = 1/3 AD. If Q is a point on BC such that CQ = 1/3 BC , then show that AQCP is a parallelogram.
AP=1/3 AD —– (i)
CQ=1/3 BC —– (ii)
AD = BC ( Opposite sides of a parallelogram are equal)
Multiplying by 1/3 on both the sides
1/3 AD = 1/3BC
AP = CQ —– (iii) (from (i) and (ii))
AD is parallel to BC
so AP is parallel to CQ —– (iv)
From (iii) and (iv):
AQCP is a quadrilateral in which one pair of opposite sides AP and CQ are equal and parallel.
Hence, AQCP forms a parallelogram.
14. In ∆ABC, AD is a median. Prove that ar (ΔABD) = ar (ΔACD).
SOL:- Given: AD is a median of ΔABC.
To prove: ar(ΔABD) = ar(ΔACD)
ar(ΔABD) = ½ BD X AN – – – – (1)
ar(ΔACD) = ½ CD X AN – – – – – (2)
We have BD = DC – – – – -(3) [∵AD is the median on side BC] From equations (1), (2) and (3) we get
ar(ΔABD) = ar(ΔACD)
15. In the figure given here, PQR = 75 and PRQ = 35. Find QSR.
SOL:- Do it by yourself.
16. The length of the sides of a triangle are 9