# What is the curriculum of NSEJS

## QP 1006

### SECOND TERM ASSESSME

ASSESSMENT

MATHEMATICS

### Hours: 8 Max Marks: 80

Date: 03/27/2019 No. of Questions: 07

Duration: 2 hrs No. of Printed sides: 04

(Answers to this paper must be written on the paper provided separately.

All working including rough work must be clearly shown and must be done

on the same sheet as the rest of the answer. Omission of essential

working will result in loss of marks. Thee intended marks for questions or

parts of questions are given in brackets [].

### In Section A, Question Nos. 1, 2 and 3 are compulsory. Attempt any three

questions from Question Nos. 4 to 7)

Section

ection A (60 marks)

Attempt all questions from Question Nos. 1 to 3

### Question 1 [10 marks]

a) Factorise: 3 11 10 [3]

### b) A shopkeeper purchased a sewing machine for 12000. He sells it at a

discount of 10% and still makes a profit of 8%. Find: [3]

i) S.P. ii) M.P.

### c) What number should be added to each of the numbers 3, 5, 13, 19

so that the resulting numbers may be in proportion. [4]

### Question 2 [10 marks]

a) If 2 8 16 = 1, find ‘n’, using laws of exponents. [3]

4 16

b) If the wages of 15 laborers for 6 days are r7200,7200, find the wages of 23

laborers for 5 days. [3]

### c) Construct ∆ ABC such that AB = 5.3 cm, AC = 4.8 cm and altitude AM to

BC is 4.2 cm. Measure BC. [4]

1 P.T.O.

Std 8: Mathematics page 2

### Question 3 [10 marks]

### a) The daily wages of 60 workers in a factory are given in the following

frequency distribution table. [3]

### Wages (in r) No. of workers

0 – 50 9

50 – 100 6

100 – 150 8

150 – 200 12

200 – 250 15

250 – 300 10

Total 60

### From the data given above, determine:

### i) the class size.

ii) the class mark of the 6th class.

iii) the number of workers earning r150 and more.

b) The ratio between the exterior angle and the interior angle of a regular

polygon is 1: 8. Find the measure of each exterior angle and the number

of sides. [3]

### c) Solve the following equations by cross multiplication method: [4]

i) 3-5 = 19; −7 3 = −1

### Attempt any three questions from Question Nos. 4 to 7

### Question 4 [10 marks]

### a) The perimeter of a parallelogram is 28 cm and the ratio of the adjacent

sides is 3: 4. Find the sides of the parallelogram. [3]

b) If a + b + c = 9, a2 + b2 + c2 = 29, find ab + bc + ac [3]

2 P.T.O.

Std 8: Mathematics page 3

Question 4 continued

### c) In the figure given below, ABCD is a square and ABE is an equilateral

triangle. Prove that: [4]

### i) ∠EAD = ∠EBC ii) DE = CE.

D C

E.

A B

### Question 5 [10 marks]

a) Taps A and B can fill a tank in 4 hours and 6 hours respectively and

tap C (at the bottom) can empty it in 12 hours. If all the three taps are

opened together when the tank is empty, find after how many hours, the

tank will be full. [3]

### b) Find the area of an equilateral triangle of side 8 m correct to 3 significant

figures. Use √3 = 1,732. [3]

### c) Solve the inequation −3 ≤ 3 - 2 <9, ∈, write the solution set and

represent it on a number line. [4]

### Question 6 [10 marks]

a) The length, breadth and height of a cuboid are in the ratio 7: 6: 5. If the

surface area of the cuboid is 1926 cm², find its volume. [3]

### b) If! = 5,! = 6, find! . [3]

### c) Calculate the C.I on r12,500 for 2 years at 6% per annum. [4]

3 P.T.O.

Std 8: Mathematics page 4

### Question 7 [10 marks]

### a) The diagonals of a rhombus are 8cm and 6cm. Find: [2]

### i) area of the rhombus and

ii) perimeter of the rhombus.

### " " "

b) Solve: - = 3 - [4]

# $

### c) A copper wire when bent in the form of a square, encloses an area of

121 cm². If the same wire is bent to form a circle, find the area of the

circle. [4]

Section B - 20 marks

: on / 12.03.2019 4

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