8th std 3rd mid-Term Maths Question paper
Answers
8th Standard
Maths
Time : 02:00:00 Hrs
Total Marks : 60
I. Choose the best answer
10 x 1 = 10
1.
(a+b)2=(a+b)✕____
(a) ab (b) 2ab (c) (a+b) (d) (a-b)
2.
(a2-b2)=(a-b) ✕ ______
(a) (a-b) (b) (a+b) (c) a2+2ab+b2 (d) a2-2ab+b2
3.
m2+(c+d)m+cd=_____
(a) (m+c)2 (b) (m+c)(m+d) (c) (m+d)2 (d) (m+c)(m-d)
4.
The power of the term x2y2z2 is _______
(a) 3 (b) 2 (c) 12 (d) 7
5.
The degree of the polynomial x2-5x4+34x7-73x+5 is ______
(a) 7 (b) 3/4 (c) 4 (d) -73
6.
x2+y2-2z2+5x-7 is a ____________
(a) monomial (b) binomial (c) trinomial (d) polynomial
7.
The constant term of 0.4x7-75y2-0.75 is ______
(a) 0.4 (b) 0.75 (c) -0.75 (d) -75
8.
the factor of x2-x-2 are
(a) (x+4)(x-3) (b) (x-4)(x-3) (c) (x+2)(x-6) (d) (x+3)(x-4)
9.
The factor of 6x2-x-15 are (2x+3) and ____
(a) (3x-5) (b) (3x+5) (c) (5x-3) (d) (2x-3)
10.
The factor of 169l2-441m2 are
(a) (13l-21m),(13l-21m) (b) (13l-21m),(13l+21m) (c) (13l-21m),(13l+21m) (d) 13(l+21m)13(l-21m)
II. Answer any 10 in the following
10 x 2 = 20
11.
Factorize the following expressions:
2x+6
12.
Factorize the following expressions:
a2b-ab2
13.
Factorize the following using the Identities
x2+6x+9
14.
Factorize the following using the Identities
9x2y-4y3
15.
Factorize the following using the Identities
m8-n8
16.
A rational number is such that when we multiply it by 52 and add 23 to the product we get −712 . What is the number?
17.
Construct a rhombus ABCD with AB = 7 cm and ∠A = 60° and find its area.
18.
Construct a rhombus ABCD with AC = 7.5 cm and ∠A = 100°. Find its area.
19.
Construct a rectangle having adjacent sides of 6 cm and 4 cm and find its area.
20.
Construct a rectangle having diagonal of 7 cm and length of one of its side is 4 cm. Find its area also.
21.
Plot the following points on a graph paper and find out in which quadrant do they lie?
(i) A (3,5)
(ii) B (–2 , 7)
(iii) C (–3,–5)
(iv) D (2, – 7)
(v) O (0, 0)
22.
Plot the points A (5 , 3), B (–3 , 3), C (–3 , –4), D (5 , –4) and find the area of ABCD enclosed by the figure.
23.
Plot the points A (2 , 8 ), B (–3 , 3) , C (2 , 3) and find the area of the region enclosed by the figure ABC
24.
Amudha walks at a speed of 3 kilometers per hour. Draw a linear graph to show the relationship between the time and distance.
25.
Draw a graph to show the areaside of a square
III. Answer all in detail
10 x 3 = 30
26.
Evaluate the following by using the identities:
(12.1)2-(7.9)2
27.
Factorize the following expressions
17l2+85m2
28.
Factorize:
a2x+abx+ac+aby+b2y+bc
29.
Factorize:
x2+23x+19
30.
Construct rectangle MORE with the following measurements. Find its area also.
OR = 3 cm and diagonal MR = 5 cm.
31.
Construct rectangle MORE with the following measurements. Find its area also.
ME = 4 cm and diagonal OE = 6 cm.
32.
Construct square EASY with the following measurements. Find its area also.
Side 4.5 cm.
33.
Construct square GOLD, one of whose diagonal is given below. Find its area also.
4.8 cm
34.
Plot the following points in the graph paper and find out where they lie?
(i) A (2 , 3)
(ii) B (– 3 , 2)
(iii) C (–5 ,–5)
(iv) D (5 , –8)
(v) E (6 , 0)
(vi) F (–4 , 0)
(vii) G (0 , 9)
(viii) H (0 , –3)
(ix) J (7 , 8)
(x) O (0 , 0)
35.
Draw the following graph of side–area relationship of a square.
Side (in m) 2 3 4 5 6
Area (in m2 4 9 16 25 36