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Samagra Shiksha, Kerala – Mathematics VIII
A
SAMAGRA SHIKSHA, KERALA
SECOND TERMINAL EVALUATION – 2019
MATHEMATICS – VIII
E 803
Time : 1 ½ Hours
Score : 40
Instructions
Read the instructions before answering the questions
Give explanations wherever necessary
First 15 minutes time is cool – off time
Answer any 4 Questions from 1 to 5. Each question carries 2 scores.
(4 x 2 = 8)
1.
In the figure, O is the centre of the circle. ∠A = 30°
a)
∠B = ………………..
b)
∠AOB = ………………..
2.
a)
Which number is to be subtracted from 102 + 22 to get (10 – 2)2?
b)
What is to be subtracted from a2 + b2 to get (a – b)2?
3.
See the advertisement of a financial establishment.
Monthly interest for 1000 rupees is 20 rupees only
a)
What is the interest of 100 rupees for one month?
b)
What is the rate of interest?
4.
a)
What is the measure of one outer angle of a 12 sided regular polygon?
b)
What is the measure of one inner angle?
Mathematics VIII – Section Continued
7.
The length of a rectangle is 4 cm more than its breadth. If the perimeter is 84 cm.
a)
Length + Breadth = ………………..
b)
Find the length and breadth of the rectangle.
8.
Joseph deposited Rs 15000/- in a bank at the rate of 10% simple interest. Rafeek deposited Rs 15000/- in another bank at the rate of 10% compound interest.
a)
After 2 years, how much amount would Joseph get back?
b)
After 2 years, how much amount would Rafeek get back?
9.
a)
(10 + 2)2 − (10 − 2)2 = ………………..
b)
(x + y)2 − (x − y)2 = ………………..
c)
(10 + 0.6)2 − (10 − 0.6)2 = ………………..
10.
In the figure, PQRS is a parallelogram.
The diagonals intersect at the point O.
Also ∠POS = 60°, PR = 8 cm, QS = 6 cm
a)
Length of OP = ………………..
b)
Draw the parallelogram PQRS
Mathematics VIII – Page 2 & 3
11.
The price of a pen and a book are in the ratio 3:5. The price of a book is 12 rupees more than the price of a pen.
a)
If the price of a pen is taken as 3x, how can we write the price of a book?
b)
Find the price of a pen and that of a book.
Answer any 4 Questions from 12 to 17. Each question carries 4 scores.
(4 x 4 = 16)
12.
In the figure, ABCDE is a regular pentagon.
a)
Write the measure of one angle of a regular pentagon.
b)
Find the measures of all angles of triangle ACD.
13.
a)
Amrutha deposited rupees 20000 in a bank which compounds interest half yearly. The annual rate of interest is 8%. How much amount would she get back after one year?
b)
Najiya deposited rupees 20000 in a bank which compounds interest quarterly. The annual rate of interest is 16%. How much amount would Najiya get back after six months?
14.
Three equal rhombuses with one side 4 cm and one angle 60° are put together as in the figure.
Draw the figure with given measurements.
15.
a)
x2 − y2 = (x − y) ( …………. )
b)
(3a + b) (3a − b) = ……………………….
c)
Find (9.8)2 − (0.2)2
16.
In the quadrilateral ABCD, AB = 8 cm, BC = 5 cm, AC = 6 cm, CD = 4 cm, AD = 5 cm. Draw the quadrilateral.
17.
A plastic bottle manufacturing company decided to reduce its production by 10% in each year. If the current production is 4 lakhs, what would be the production after two years?
Mathematics VIII – Page 3
Read the given concept carefully and write answers to the following questions. Each question carries one score.
(4 x 1 = 4)