POLICY GUIDELINES FOR MATHEMATICS PAPER

Paper Pattern and Distribution of Marks

Mathematics & General Mathematics SSC-I

The question paper is organized into following three sections, namely: "Section A, B &
C": Questions posed may be text based or derived/unseen but in similar pretext and difficulty
level as per the lessons taught in the course. Distribution of the questions with respect to
cognitive domain within each section shall roughly be around 30 percent Knowledge (K), 50
percent Understanding (U) and 20 percent Application (A).

The Questions in these subjects should be designed in such a manner that no pet-
definitions are asked or required from the candidates to be reproduced. Moreover the questions
should be appropriately designed whilst keeping in consideration the time for thought-process
(particularly in U and A Cognitive Domain questions) and the length of the subsequent text to be
produced by the candidates.

SECTION — A

This section consists of question number one with 15 compulsory structured part
questions - Multiple Choice Questions (MCQs) of one mark each. These MCQs should
preferably be designed in such a way that they cover the whole course taught. These MCQs
should objectively test the understanding of the concepts of the candidates in these subjects.

SECTION — B

This section consists of question number two (02) with preferably 14 part questions –
Short Response Questions (SRQs) of Four (04) marks each. The candidates are required to
attempt (respond to) any Nine (09) SRQs for a maximum total of 36 marks in this section.

SECTION — C

This section consists of Five (05) Extended Response Question (ERQs). Candidates are
required to attempt (respond to) any Three (03) of these ERQs as per their choice and
convenience. These questions may comprise of two or more part questions each if deemed
necessary by paper setter in order to balance out the distribution various concepts and knowledge
areas from different Cognitive Domains taught in course. None of these part questions shall be of
less than 04 marks.

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 Annexure for Policy Guidelines for Question Paper
Definitions and Disclaimer

Policy guidelines for paper setting vide Notification No.6-8/FBISE/RES/CC/SSC/823 dated 8 June
2019 have been conveyed for general information. Definitions of some terminologies and
disclaimers are given in this annexure.

1. Definitions
I. Cognitive Domains
Cognitive domain refers to development of mental skill and acquisition of
knowledge.
In the questions papers developed by Federal Board of Intermediate & Secondary Education,
Islamabad from hereon will be intended to test the following cognitive domains of the candidates:
 Knowledge: Approximately 30% Question in each section
 Understanding: Approximately 50% Question in each section
 Application: Approximately 20% Question in each section
i. Knowledge (K)
Knowledge refers to the ability of the candidates to recall the learned or
memorized information or data.
Examples
o A child reciting the alphabets of English
o Memorization and reproducing the dates and other facts etc.
e.g. Pakistan came into being on 27th Night of Ramadan-ul-Mubarak.
Related Verbs (Command Words)
Arrange, define, duplicate, label, list, memorize, name, order,
recognize, relate, recall, repeat, reproduce, state etc.

ii. .Understanding (U)

Understand (also called Comprehension) refers to ability of the candidates
to comprehend (a set of) information and/or situation and provide his/her
response to it accordingly.
Examples
o Performing analyses and illustrating the observations
o Comprehending the concepts of Social, Natural and Physical
Sciences
e.g. Discuss different types of noise and their impact on human
health briefly.
Related Verbs (Command Words)
Classify, describe, discuss, explain, express, identify, indicate,
locate, recognize, report, restate, review, select, translate, rephrase,
differentiate, compare etc.

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 iii. Application (A)
Application refers to the ability to use learned material in new and concrete
situation to solve problems and/or to design a schedule or task.
Examples
o Performing analyses and illustrating the observations
o Comprehending the concepts of Social, Natural and Physical
Sciences
e.g. Illustrate the similes and metaphors given in the poem Daffodils.

Related Verbs (Command Words)

Apply, choose, demonstrate, dramatize, employ, illustrate, interpret,
operate, practice, schedule, sketch, solve, use, write etc.

II. Sections of Paper

There are three or four (03 or 04) sections in each question paper:
i. Section-A
Contains Multiple Choice Questions (MCQs). All questions are compulsory
without any external or internal choice. Usually comprises of 20% of total
marks of the (theory if applicable) paper.
ii. Section B
Contains Short Response Questions (SRQ). Candidates may have external
choice up to 33%. In addition to that internal choice may also be offered
based upon model, content and/or nature of the subject.
 This section may contain almost 50% of total marks in some
subjects of the (theory if applicable) paper.
iii. Section C
This section usually contains Extended Response Questions (ERQ).
Candidates may have external choice in the questions. In addition to that
internal choice may also be offered based upon model, content and/or nature
of the subject. For ERQs it should contain around 30% of total marks in
some subjects of the (theory if applicable) paper.

III. Choice
Sometimes the candidates are required to attempt a certain number of questions
from a given pool or group of questions, it is commonly known as choice in
questions.
There are two types of choices
i. External Choice
Whenever the candidates are required to solve (respond to) a certain number
of questions from a given pool it is called external choice. This choice may
be around 33% in a section.

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 e.g. 1. Answer any six parts in about 30-40 words each.
(Out of eight questions)
2. Attempt any eight questions from the following.
(Out of eleven questions)
ii. Internal Choice
Whenever the candidates have to solve (respond to) a question mandatorily
but they have an option within the question it is called internal choice.

e.g. 1. Paraphrase any ONE of the following stanzas.

a. Stanza 1
b. Stanza 2
2. Translate the following: (Some sentences for translation are given)
OR
Write a Dialogue between a beggar and a citizen

2. Disclaimers
I. The cognitive levels written in sample model paper are for explanation purpose
only. In the actual question papers administered during examination shall not
contain description of these cognitive domains.
II. Association of the cognitive domains is solely based on subject expert’s judgment and
may be subject to errors and/or omissions.
III. In the class rooms and during teaching the candidates (students) need to be taught about
the time management in accordance with allocation of marks to the questions.

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 Roll No: Answer Sheet No: ______________
Sig. of Candidate: _____________ Sig. of Invigilator: ______________

Federal Board SSC-I Examination

Mathematics Model Question Paper
(Science Group)

SECTION – A
Time allowed: 20 minutes Marks: 15
Note: Section-A is compulsory. All parts of this section are to be answered on the question
paper itself. It should be completed in the first 20 minutes and handed over to the Centre
Superintendent. Deleting/overwriting is not allowed. Do not use lead pencil.

Q.1 Encircle the correct option i.e. A / B / C / D. All parts carry equal marks.

i. In matrices (A + B)t equals to

A. (AB)t B. At – Bt
C. At + Bt D. Bt – At

ii. Imaginary part of is

A. –2 B. 2
C. –3 D. 3

iii. Scientific notation of 0.000761 is

A. B.
C. D.

iv. If a + b = 4 and a – b = , what is the value of ab?

A. 1 B. 2
C. 4 D. 7

v. For what value of K, (x – 2) is a factor of Kx3 – 4x2 + 3x – 6?

A. 0 B. 2
C. D.

vi. What is the L.C.M of (x – y)2 and (x – y)3?

A. (x – y) B. (x – y)2
C. (x – y)3 D. (x – y)5

vii. Under what condition capacity “c” of a lift is at the most 1000 Kg?
A. B.
C. D.

viii. Which of the following lines does not intersect y = – 3x + 7?

A. y = – 3x – 7 B. y = 3x + 7
C. y = 3x – 7 D. y = 3x

ix. At what point straight line cuts y – axis?

A. (0, 0) B. (1, 1)
C. D. (-1, 0)

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 DO NOT WRITE ANYTHING HERE

x. In if mLA = 30˚ and then values of LB and LC are:

A. 75˚, 75˚ B. 60˚, 60˚
C. 60˚, 90˚ D. 90˚, 60˚

xi. What values of x and y make ABCD a parallelogram? 2 C

A. 16, 2 B. 8, –2 D
C. 16, –2 D. 8, 2
x-2y 12

B
A x+3y
xii. Medians of a triangle cut each other in the ratio:
A. 1:1 B. 2:1
C. 3:1 D. 3:2

xiii. What is the diagonal length of a TV screen having dimensions 80cm x 60cm?
A. 100cm B. 140cm
C. 70cm D. 50cm

xiv. The bisectors of any two adjacent angles of a parallelogram intersect at

A. 30˚ B. 45˚
C. 60˚ D. 90˚

xv. Two adjacent angles of a parallelogram are (2x + 25)˚ and (3x – 5)˚ then value of
x is:
A. 28 B. 32
C. 36 D. 42

_______________
For Examiner’s use only:

Total Marks: 15

Marks Obtained:

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 Federal Board SSC-I Examination
Mathematics Model Question Paper
(Science Group)

Time allowed: 2.40 hours Total Marks: 60

Note: Attempt any nine parts from Section ‘B’ and any three questions from Section ‘C’ on the
separately provided answer book. Use supplementary answer sheet i.e. Sheet–B if
required. Write your answers neatly and legibly. Log book and graph paper will be
provided on demand.

SECTION – B (Marks 36)

Q.2 Attempt any NINE parts from the following. All parts carry equal marks. (9  4 = 36)

i. If
(a) Find At
(b) Find A – At
(c) Also check if A – At is Skew-Symmetric.

ii. Show that

iii. Use logarithm to find the value of

iv. If , find the values of and

v. Factorize (x – 1) (x – 2) (x + 3) (x + 4) + 6
vi. Find the value of k for which the expression
4x4 – 12x3 + 37x2 – 42x + k is a perfect square
vii. If x + 2y = 5 and 3x – y = 1
(a) Draw the graph of above equations on the same plane.
(b) Do the lines intersect?
(c) What is the solution of given lines?
Note: Candidates can make their own grid on the answer sheet.
viii. Use the distance formula to check whether or not the points (1, 1), (–2, –8) and
(4, 10) lie on a straight line.
ix. In the given figure, and L1 L2 B
Prove that ∆ABD ∆CBE
E D
F
1 2

A C
x. The distances of the point of concurrency of the medians of a triangle from its
vertices are respectively 1.2cm, 1.4cm, 1.6cm. Find the lengths of its medians.
xi. Any point on the bisector of an angle is equidistant from its arms. Prove it.

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 xii. Prove that in a scalene triangle, the angle opposite to the largest side is of measure
greater than 60˚.
xiii. In the shown figure, , , ,
. Find x if ll A

P Q

B C
xiv. Construct a triangle ABC having , and mLC = 60˚.
Construct a parallelogram equal in area to ∆ABC having one angle 60˚.

SECTION – C (Marks 24)

Note: Attempt any THREE questions. Each question carries equal marks. (3  8 = 24)

Q.3 Four chairs and two tables cost Rs.2500, while six chairs and five tables cost Rs.6000.
Find the cost of one chair and one table separately. (Use Cramer’s Rule by forming
pair of Linear equations)
Q.4 Show that the points A (–6, –5), B (5, –5), C (5, –8) and D (–6, –8) are vertices of a
rectangle. Find the lengths of its diagonals. Are they equal?
Q.5 The internal bisector of an angle of a triangle divides the side opposite to it in the ratio of
the length of the sides containing the angle. Prove it.
Q.6 In a right angled triangle, the square of the length of hypotenuse is equal to the sum of
squares of the lengths of the other two sides. Prove it.
Q.7 Construct a triangle ABC with , mLA = 45˚, mLB = 60˚. Draw perpendicular
bisectors of the sides and verify that they are concurrent. Write the steps of construction.

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