PROVINCIAL WESTERN PROVINCE THIRD TERM TEST - 2018 MATHEMATICS - I

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PROVINCIAL DEPARTMENT OF EDUCATION NORTH WESTERN PROVINCE

THIRD TERM TEST - 2018

Grade 10

MATHEMATICS - I

Two Hours

Name / Index No. :

? Answer all questions on this paper itself. ? Each questions carries two marks in Part A and 10 marks for each questions in Part B.

PART - A

01' In between which whole numbers does the value of 40 lie?

02' Solve,

12 + 5 = 3

x

03' How long will it take to remove 540l of water amount in a tank, using a pipe through which water flows at a uniform rate of 18l per minute.

04' Find the value of x. 3x

05' Factorize. 2x2 + x - 3

06' Write in index form. log3 27 = x

520

x

07' Find the value of x.

1300

x

01

08' A- {Multiples of 3 between 1 and 15} ^i& Write setAwith elements. ^ii& Find n(A).

09' A house of assessed annual values Rs. 18000, is charged annual rates of 9%. Calculate the rates that have to be paid for a year.

10' If the perimeter of the shaded part in the figure is 52cm. Find the perimeter of the unshaded part.

11' Solve.

2

(x - 3) = 16

12' The mean age of 5 students is 13 years. When another student of 19 years age joined. Find the mean age of all the students.

13' If the length of the chordAB is x cm, Write the length ofAP in terms of x. O

A

P

B

02

14' Find the time taken by a motor car, to travel the distance of 216km with the uniform speed of 72 kmh-1 .

th

15' The n term of an arithmetic progression is 3n+2. In this progression, which term is 38.

16' Simplify.

3

1

-

x 2x

17' Using the information given in the diagram. ^i& Find the length of the side SR. ^ii& Find the value of x.

P 1100

8cm

Q

x

S

R

18' The probability of Vidusha passing the scholarship exam is 5 and Dinusha passing the scholarship 7

exam is 3 . Find the probability of both are passing the scholarship exam.

4

19' Write the equation of the straight line shown in the following cartesian plane.

20' According to the data given in the diagram, find the value ofAC^D.

03

y 4 3 2 1

x 0 1 23 4

C

550 O A

B D

21' Find the positive integral solutions that satisfy the following inequality. 2x + 1 < 5

22' In the diagram, CB = DE, DA^C = AC^D and BA^C =

A

B

EF^D. Name two congruent triangles in the figure and

write their case of congruency. C

E

D

F

23' The external surface area of the following Cylinder (without the lid) is 954 cm2. Find the curved surface area.

24' In the given figure, find the value of P^RQ.

25' AB andAC are two boundaries of a land. The well P is situated such that 5cm from A and equidistance from AB and AC. By showing the constructing lines obtain the location of point P. A

04

7cm R

O

600

P

Q

B

C

Grade 10

PART - B

^01& (a) Simplify. 1 31

2 ?2 48

Mathematics - I

(b) Vipula received a question paper from his teacher. He answered 2 of the questions of that 5

paper in the first day and answered 3 questions in the 2nd day. At that time he was answered

exactly half of the questions of the paper.

(i) After answering the first day, write the remaining number of questions as a fraction of total number of questions.

(ii) Write the number of questions answered in 2nd day as a fraction of total number of questions.

(iii) If he had answered 24 questions, at the end of 3rd day, write the remaining number of questions he had to answer as a fraction of total number of questions.

^02& (a)

Among two boys and three girls, it is needed to select the president for the Science association and English association in a certain school.

(i) Represent the sample space related to selecting students for the post of president of both associations in the given grid.

English association

G3

G2 G1 B2 B1

(ii) Find the probability of selecting, a boy

B1 B2 G1 G2 G3

student as the president of Science

Science association

association and a girl student as the president of English association.

05

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