Mathematics Solved Model Past Paper 2021 PDF
Part – 1 English
The Synonym of BRIEF is?
Answer: Short
His health is broken ____ due to hard work.
Answer: Down
The flight _______ for Islamabad tomorrow.
Answer: Is leaving
In 44 sounds of English language, ____ are vowel sounds and ____ are consonant sounds.
Answer: 20, 24
He is accustomed _________ drinking so much.
Answer: To
His proposal fell out for ______ of support.
Answer: Need
The Synonym of Pristine is?
Answer: Immaculate
Which sentence is imperative?
Answer: Move the chairs into that corner quickly.
One who believes in the power of fate?
Answer: Fatalist
One word for “A hater/hating of knowledge and learning” is?
Answer: Misologist
On leaving the shopping plaza, Sania was robbed _______ purse.
Answer: Of her
He is averse ______ hard work.
Answer: To
A rolling stone ____ no moss.
Answer: Gathers
We warned him ____ the danger.
Answer: Of
In formal letters, the most common salutation is ____?
Answer: Dear XYZ (Name)
He was married ______ a rich family.
Answer: to
What is the Synonym of SERENE?
Answer: Calm and peaceful
A ______ sentence is made up of an independent and one or more dependent clauses connected to it.
Answer: Complex sentence
The Idiom: To bite the bullet means?
Answer: To face a difficult or unpleasant situation with courage
Giving is better than ________?
Answer: Receiving
A disease that spreads over a large area and affects a large number of people at one place and time is known as ______?
Answer: Epidemic
“Inter alia” means _____?
Answer: Among other things
What is the Synonym of “Exonerate”?
Answer: Absolve
What is the Synonym of “Weird”?
Answer: Bizarre
Identify the exclamatory sentence:
Answer: What an amazing performance!
Surely you recognize somebody. Here ‘somebody’ is?
Answer: Indefinite pronoun
The Synonym of Vivid is?
Answer: Bright
He died before he could complete his ____?
Answer: Autobiography
Send the book ______ my address.
Answer: To
The ability to perform daily routine work without fatigue and to bear during fatigue is known as ______?
Answer: Fitness
Select the zero conditional sentence?
Answer: If you heat ice, it melts.
There was a touch of asperity in his tone. The Synonym of Asperity is?
Answer: Harshness of tone or manner
I am satisfied _____ his performance.
Answer: With
The term Aqua means ______?
Answer: Water
The Antonym of Prohibit is?
Answer: Permit
What is the Antonym of Concord?
Answer: Variance
What is the Synonym of word ‘Feeble’?
Answer: Weak
He has been ____ his pen since morning.
Answer: Searching for
Choose the correct meaning of the following idioms/phrases: Woolgathering.
Answer: Dreamy imagination
I have disposed ____ my car.
Answer: Of
A record of complaints _______ kept in the purser’s office.
Answer: Is
The vice-president will be seated _______ the chairman at the banquet.
Answer: By
If they had more money, they _______ a new house.
Answer: Would buy
Verbs that do not show action are called?
Answer: Linking Verbs
He is very popular ___ his employees.
Answer: With
Choose the correct meaning of the following idioms/phrases: Under the harrow.
Answer: Anxiety (Distress)
The Synonym of CHURLISH is?
Answer: Boorish (Rude)
The Synonym of DANGER is?
Answer: Risk
It is nothing ______ but pride.
Answer: Else
The Synonym of ‘Frightened” is?
Answer: Afraid
Part-I: Teaching Methodology
Which decision-making rule tries to equally satisfy both parties?
Answer: Compromise
Which branch of philosophy deals with knowledge, its structure, method and validity?
Answer: Epistemology
The teaching method recommended for elementary school science in Pakistan is _____?
Answer: Activity method
Frustration and anxiety produce ______ in an individual.
Answer: Tension
Who raised the slogan “Back to Nature”?
Answer: Naturalism (Rousseau)
Which does not fit into the scheme of educational goals of the Idealists?
Answer: Care of body
Which question have increasing good objectivity of marking?
Answer: Multiple type questions
Position power of the principal is limited to ______?
Answer: Both (Teachers and Students)
Interviews may be conducted to ______ adaptive behaviour of candidates.
Answer: Assess
The school headmaster operates the following administrative functions except?
Answer: Recruiting
Measurement answers the question?
Answer: How much
According to Einstein, education should be a fun rather than _____?
Answer: Pushed
Religious education is strongly advocated by _______?
Answer: Idealists
An outline of the topic of the subject to be covered in specific time is called ______?
Answer: Syllabus
The growth of organizational needs to be meshed with the ______ growth.
Answer: Individual
The effectiveness of the curriculum depends on the interest of the ______?
Answer: Teachers
______ evaluates how people perform and how activities have been done.
Answer: Appraisal
What is meant by the term “interference”?
Answer: Nepotism
A sound curriculum must be based on the needs and aspiration of _____?
Answer: Society
Two students A and B achieved 25 and 75 marks. What is percentile for A?
Answer: 50
Which one of the following terms is most inclusive?
Answer: Assessment
_____ involves a sequence of work.
Answer: Life style concept
Curriculum could not be built without which things?
Answer: All of these
Students are directly involved as experiential learning in _____?
Answer: Simulation
A choice made between two or more alternatives is called ______?
Answer: Decision
Part – II Mathematics
Which number will complete the number series? 2, 5, 12, 23, 38, 57, _____?
Answer: 80
Solution:
Find the differences: 5–2=3, 12–5=7, 23–12=11, 38–23=15, 57–38=19 → Difference increases by 4 each time. Next difference = 19+4=23 → Next number = 57+23=80
What is the ratio of the circumference of a circle to its radius?
Answer: 2π
Solution:
Circumference = 2πr → Circumference / radius = 2πr / r = 2π
What number will come next in the series? 1, 2, 4, 8, 16, _____?
Answer: 32
Solution:
Series is multiplying by 2 each time: 1×2=2, 2×2=4, 4×2=8, 8×2=16, 16×2=32
Find the odd one out: 10, 25, 45, 54, 60, 75, 80
Answer: 54
Solution:
All numbers except 54 are multiples of 5. 54 is not divisible by 5 → Odd one out
What number comes next in the series 34, 24, 16, 10, 6 ?
Answer: 4
Solution:
Find differences: 34–24=10, 24–16=8, 16–10=6, 10–6=4 → Next difference = 2 → Next number = 6–2=4
A is father of C, D is son of B, E is brother of A. If C is sister of D, how is B related to E?
Answer: Sister-in-law
Solution:
C is D’s sister → B must be C’s mother/father → E is brother of A → B is married to A → B is sister-in-law of E
The angle of elevation of the top of a tower from a point 20 m away from its base is 60°. Find the height of the tower.
Answer: 20√3 m ≈ 34.64 m
Solution:
tan θ = height / distance → tan 60° = h / 20 → √3 = h / 20 → h = 20√3 ≈ 34.64 m
My mother is the sister of your brother. What relation am I to you?
Answer: Nephew
Solution:
Your brother’s sister is your mother → You are the child of my aunt → Your relation to me = nephew
If 4x + 12 = 36, find x + 3.
Answer: 9
Solution:
4x + 12 = 36 → 4x = 24 → x = 6 → x + 3 = 6 + 3 = 9
Two lines that make an angle are called?
Answer: Vertex
Solution:
The point where two lines meet to form an angle is called the vertex
25 is 125% of what number?
Answer: 20
Solution:
125% of number = 25 → 1.25 × number = 25 → number = 25 / 1.25 = 20
π (pi) = ?
Answer: 3.14
Solution:
π is the ratio of circumference to diameter → 3.14 approximately
Zain is facing North-West. He turns 90° clockwise, then 180° anticlockwise, then 90° clockwise. Which direction is he facing?
Answer: South-East
Solution:
Start facing NW → 90° clockwise → NE → 180° anticlockwise → SW → 90° clockwise → SE (final direction)
How many zeros are there in 1 billion?
Answer: 9
Solution:
1 billion = 1,000,000,000 → 9 zeros
The perimeter of a square with side 6 cm is?
Answer: 24 cm
Solution:
Perimeter = 4 × side = 4 × 6 = 24 cm
What number comes next in the series? 6, 11, 21, 36, 56, ?
Answer: 81
Solution:
Find differences: 11–6=5, 21–11=10, 36–21=15, 56–36=20 → Difference increases by 5 → Next difference =25 → Next number = 56+25=81
What is the sum of all angles in a triangle?
Answer: 180°
Solution:
By definition, sum of interior angles of triangle = 180°
If a>b, b>c, and d>a then?
Answer: b<d
Solution:
b is less than a, a is less than d → b < d
1 radian is equal to?
Answer: 57.3°
Solution:
1 rad ≈ 57.2958° → Approx 57.3°
Formula of area of square?
Answer: side²
Solution:
Area = side × side = a²
Right-angled triangle with legs 6 cm and 8 cm, find hypotenuse.
Answer: 10
Solution:
Pythagoras theorem: hypotenuse² = 6² + 8² = 36 + 64 = 100 → hypotenuse = √100 = 10
If the sum of two angles is 180°, they are called?
Answer: Supplementary angles
Solution:
By definition, sum = 180° → Supplementary
Sum of interior angles of a triangle?
Answer: 180°
Solution:
By formula, sum = 180°
There are 12 pens on table, you took 3. How many do you have?
Answer: 3
Solution:
You took 3 → You have 3
If the day before yesterday was Saturday, what will be the day after tomorrow?
Answer: Wednesday
Solution:
-
Day before yesterday → Saturday
-
Yesterday → Sunday
-
Today → Monday
-
Tomorrow → Tuesday
-
Day after tomorrow → Wednesday
10% of 20% of 30% equals?
Answer: 0.6%
Solution:
0.1 × 0.2 × 0.3 = 0.006 → 0.6%
The average (arithmetic mean) of 5, 10, 15 and x is 20. Find x.
Answer: 50
Solution:
(5+10+15+x)/4 = 20 → 30 + x = 80 → x = 50
Average of 13 numbers is 60. Average of first 7 = 57, last 7 = 61. Find 7th number.
Answer: 68
Solution:
Sum of all 13 = 13×60=780
Sum of first 7 = 7×57=399
Sum of last 7 = 7×61=427
7th number = 399 + 427 – 780 = 46 → Wait check: 399+427=826 → 826-780=46 → Yes, 46
Value of eccentricity of a circle?
Answer: 0
Solution:
Eccentricity of circle = 0
If ROAD is coded as “WTFI”, find code for BEAT.
Answer: GJFY
Solution:
Each letter is shifted forward by 5 in the alphabet.
B + 5 = G, E + 5 = J, A + 5 = F, T + 5 = Y
So, BEAT → GJFY
A train 100 m long runs at 30 km/h. Time to pass an 80 m bridge?
Answer: 21.6 sec
Solution:
Speed = 30 km/h = 30×1000/3600 = 8.33 m/s
Distance = 100+80=180 m → Time = 180 / 8.33 ≈ 21.6 sec
72496 → 1315, 62134 → 97, 85316 → 167, find 28439 → ?
Answer:1412
Solution:
Step 1: Split the number into two parts – first three digits and last two digits.
Step 2: Add the digits in each part:
-
72496 → First part 7+2+4 = 13, Second part 9+6 = 15 → Combine → 1315
-
62134 → First part 6+2+1 = 9, Second part 3+4 = 7 → Combine → 97
-
85316 → First part 8+5+3 = 16, Second part 1+6 = 7 → Combine → 167
Step 3: Apply the same logic to 28439:
-
First part 2+8+4 = 14
-
Second part 3+9 = 12
-
Combine → 1412
