The official BACT Class-7 model paper — typeset, with the answer key this site authored
Balochistan Academy for College Teachers (BACT), Quetta publishes model papers for Class-7 admission to Balochistan's cadet colleges and residential colleges. This page typesets its 2024 paper — 30 transcribed MCQs plus the full subjective portion — and adds a worked answer key authorised by nobody but this site: every answer was solved and checked here, with the method written out.
Provenance — read this first
- The paper is Model Paper for Admission of Students in Class 7th, issued by Balochistan Academy for College Teachers (BACT), Quetta (2024) for the Balochistan cadet colleges and BRCs.
- Official listing: bact.edu.pk/modal_paper.php — the official PDF link was returning an error when this page was last typed out, so the working copy was re-published with full credit and source links. If the official file is live, use theirs — that is the point of these links.
- What could not be transcribed is named on the page, not hidden: the scan of the Urdu sections is too degraded for word-for-word copying, and one printed maths item is internally inconsistent — we flag it instead of guessing.
The paper — questions, our worked key and the subjective portion — as one printable sheet:
No sign-up. Browser print → save as PDF also works from the print view.
Objective portion — as the paper prints it
40 marks · by the paper's own heading, one hour. The options below keep the order the published scan prints them in — the answer key starts after the questions. Do not peek.
English MCQs· 10 marks
Q1. Ibne Sina was born in ________.
(a)Sparta(b)Samarkand(c)Bukhara(d)Mash’hadQ2. Beauty and cleanliness are ________.
(a)Collective noun(b)Concrete noun(c)Proper noun(d)Abstract nounQ3. The plural of ‘ox’ is ________.
(a)oxes(b)oxen(c)oxed(d)oxisQ4. My brother gave a gift ________.
(a)me(b)for me(c)to me(d)from meQ5. There is not ________ water in the stream.
(a)more(b)many(c)enough(d)too manyQ6. A word that describes a noun is called:
(a)Adverb(b)Adjective(c)Conjunction(d)PronounQ7. The child _____________ because he is hungry.
(a)was crying(b)is crying(c)crying(d)has been cryingQ8. Change into the passive: My brother plays football.
(a)Football is played by my brother.(b)Football is being played by my brother.(c)Football was being played by my brother.(d)Football was played by my brother.Q9. Change into the negative: We began to work hard for the test.
(a)We did not began to work hard for the test.(b)We did not begun to work hard for the test.(c)We did not begin to work hard for the test.(d)We did not begins to work hard for the test.Q10. ‘He has been studying here for ten years.’ Which tense is it?
(a)Present Continuous Tense(b)Present Perfect Continuous Tense(c)Past Perfect Tense(d)Past Perfect Continuous Tense
Mathematics MCQs· 10 marks
Q21. Which one represents the infinite set?
(a){g, h, i, j}(b){1, 3, 7, 9, 11, 13}(c)The set of real numbers(d)The set of boys in your schoolQ22. 12130 is divisible by:
(a)6(b)5(c)4(d)3Q23. If we subtract −13 from −6, the result is:
(a)−7(b)7(c)−19(d)19Q24. 8 − (6 − 6 ÷ 2) is equal to:
(a)2(b)5(c)6(d)8Q25. The second element of 5, 10, 14 will be
(a)5(b)7(c)9(d)12Q26. An object was sold at Rs. 48. If profit is 20%, then cost price will be:
(a)Rs. 15(b)Rs. 25(c)Rs. 20(d)Rs. 40Q27. The expression for ‘three more than x multiplied by two’ is:
(a)2 × x + 2(b)2 × x + 3(c)3(x + 2)(d)2(2x + 3)Q28. The common end points of two rays are called:
(a)Angle(b)Line(c)Vertex(d)Line segmentQ29. Area of a rectangle is:
(a)one dimensional(b)two dimensional(c)three dimensional(d)four dimensionalQ30. Number of vertices in a cuboid is:
(a)6(b)8(c)9(d)12
General Science MCQs· 10 marks
Q31. Which one of the following is in an animal cell?
(a)Cell wall(b)Centriole(c)Chloroplast(d)One big vacuoleQ32. There are three bones in the ear. Where are these located?
(a)Outer ear(b)Middle ear(c)Inner ear(d)Auditory nerveQ33. Which gas is used in photosynthesis?
(a)Nitrogen(b)Chlorine(c)Oxygen(d)Carbon dioxideQ34. Which organisms are called producers?
(a)Plants(b)Bacteria(c)Fungi(d)AnimalsQ35. Calcium carbonate is used:
(a)in white wash(b)in construction(c)as fuel(d)as foodQ36. The percentage of nitrogen in the air is:
(a)0.03%(b)1%(c)20.9%(d)78%Q37. Where are pollen grains located in?
(a)Ovary(b)Anther(c)Sepals(d)PetalsQ38. The energy of a moving object is called:
(a)kinetic energy(b)potential energy(c)electrical energy(d)solar energyQ39. Which of the following is an example of a wheel and axle system?
(a)Knife(b)Screwdriver(c)bottle opener(d)HammerQ40. Passage of a light ray through a certain object is called:
(a)Transmission(b)Absorption(c)Reflection(d)Diffused reflection
Urdu MCQs (Q11–Q20) — 10 marks, not reproduced here
The published paper carries ten Urdu MCQs here (تشریحی حصہ سے پہلے کا اردو حصہ). The copy available to this site is too degraded to typeset word-for-word, so the section is honest-missing rather than badly reproduced. Sit it from the official document at the links above — and remember the Urdu skills it tests are exactly the ones the site's Urdu units practise: قواعد، واحد جمع، مترادف و متضاد، محاورے.
The answer key — this site's work, not BACT's
The published paper carries no key. All 29 answers here were solved fresh, with the method each one teaches. 1 item is flagged, not guessed.
Q1. (c) — Ibne Sina was born in ________.
Ibne Sina (Avicenna), the physician-philosopher students meet in general-knowledge sections, was born near Bukhara in 980. Two of the distractors are other historical cities — memorise the pairing, not just the name.
Q2. (d) — Beauty and cleanliness are ________.
A noun you can see or touch is concrete; beauty and cleanliness are qualities of it, so they are abstract nouns — the one option whose definition fits.
Q3. (b) — The plural of ‘ox’ is ________.
Ox pluralises with the rare -en ending — the same small family as children, men and feet. Irregular plurals cannot be built by rule, which is exactly why papers test them.
Q4. (c) — My brother gave a gift ________.
Give takes the recipient with to: ‘gave a gift to me’. For me would mean on my behalf, which changes the meaning — a preposition trap, not a tense one.
Q5. (c) — There is not ________ water in the stream.
Water is uncountable, so many and too many are out on grammar; of the remaining choices, enough is the one that makes the sentence natural and complete.
Q6. (b) — A word that describes a noun is called:
Adjective describes a noun; adverb describes a verb, adjective or adverb; conjunction joins; pronoun replaces. Four definitions — match each to its job instead of memorising one.
Q7. (b) — The child _____________ because he is hungry.
The because-clause states a live current cause, so the crying is happening now: present continuous is crying. Was crying and has been crying belong to past and finished frames the sentence never enters.
Q8. (a) — Change into the passive: My brother plays football.
Present simple converts to the simple passive: is/are + past participle. Is being played smuggles in the progressive, was played shifts the tense — the passive keeps the original tense exactly.
Q9. (c) — Change into the negative: We began to work hard for the test.
Did absorbs the past, so the main verb returns to its base form: did not begin. Three of the four options leave the past ending on the second verb — that is the whole trap.
Q10. (b) — ‘He has been studying here for ten years.’ Which tense is it?
The pattern has been + V-ing with a for-duration is the present perfect continuous. Spot the three signals — has been, the -ing, and for — and the tense names itself.
Q21. (c) — Which one represents the infinite set?
A set is infinite when its members cannot be exhausted by counting. Every listed set has a last element — the real numbers do not, so option c is the definition, not a coined fact.
Q22. (b) — 12130 is divisible by:
Last digit 0 means divisible by 10, hence by 5. Rule out the rest in one move each: digit sum 1+2+1+3+0 = 7 rules out 3 (and 6); last two digits 30 are not a multiple of 4.
Q23. (b) — If we subtract −13 from −6, the result is:
Subtracting a negative is adding its positive: −6 − (−13) = −6 + 13 = 7. The −19 trap flips the operation and keeps the magnitude-difference wrong direction.
Q24. (b) — 8 − (6 − 6 ÷ 2) is equal to:
Order of operations inside the bracket first: 6 ÷ 2 = 3, so the bracket is 6 − 3 = 3, and 8 − 3 = 5. Every wrong option corresponds to solving at the wrong stage — a clean way to self-diagnose.
Q25. not keyable from the scan — The second element of 5, 10, 14 will be
FLAG — kept visible, not guessed. As printed, the list is 5, 10, 14, whose second element is 10 — but 10 is not among the options, so the published item is internally inconsistent (a digit was lost somewhere between paper and scan). We do not manufacture a ‘right’ answer from a broken print. Where this item tests a real skill — reading a position in a sequence — the method is: element 1 is the first listed number, element 2 the next.
Q26. (d) — An object was sold at Rs. 48. If profit is 20%, then cost price will be:
A 20% profit multiplies the cost price by 1.2, so divide back: 48 ÷ 1.2 = 40. Fast check: 20% of 40 is 8, and 40 + 8 = 48 — run it backwards the moment you have a candidate.
Q27. (b) — The expression for ‘three more than x multiplied by two’ is:
Read the operations in the order the words fix them: x multiplied by two first (2x), three more than that second. 3(x + 2) is the trap of adding the 3 inside the multiplication instead of after it.
Q28. (c) — The common end points of two rays are called:
Two rays sharing one end point make an angle; the shared point itself is the vertex. The question asks for the point, not the figure — read what the stem names.
Q29. (b) — Area of a rectangle is:
Area covers length × width — two directions measured — so it is a two-dimensional measure. Perimeter is one (around a line), volume three. The dimension count is just how many quantities you multiply.
Q30. (b) — Number of vertices in a cuboid is:
A cuboid has 6 faces, 12 edges and 8 vertices where three edges meet. Lock the trio together — papers rotate the question among the three counts.
Q31. (b) — Which one of the following is in an animal cell?
Cell wall, chloroplast and one big central vacuole are the plant cell’s signature parts; the centriole is the animal-cell structure in the list. Plant-vs-animal is a two-column recall — learn the columns, not isolated parts.
Q32. (b) — There are three bones in the ear. Where are these located?
The three smallest bones in the body — malleus, incus, stapes — sit in the middle ear, carrying vibration to the inner ear where hearing happens. The inner ear is fluid and nerves, no bones.
Q33. (d) — Which gas is used in photosynthesis?
Photosynthesis takes in carbon dioxide and water and releases oxygen — oxygen is the OUTPUT, which makes it the trap. Fix the direction: CO2 in, O2 out.
Q34. (a) — Which organisms are called producers?
Producers make their own food from sunlight; that is plants. Fungi and bacteria are decomposers, animals consumers — know what each link in the chain is called and the whole question collapses.
Q35. (a) — Calcium carbonate is used:
Calcium carbonate is the white powder behind lime whitewash — the use in this course’s material. Fuel and food are naturals-to-say but belong to other compounds entirely.
Q36. (d) — The percentage of nitrogen in the air is:
Air is roughly 78% nitrogen, 21% oxygen (20.9% is the trap wearing a decimal), 0.9% argon and 0.03% CO2 — know the whole composition, not just the top slot.
Q37. (b) — Where are pollen grains located in?
The anther makes and holds the pollen; the ovary is where seeds form after fertilisation. Petals attract, sepals protect — every flower part has one job.
Q38. (a) — The energy of a moving object is called:
Motion is kinetic — from the Greek for movement. Potential energy is stored (height, wound spring), the other two name energy sources, not states of motion.
Q39. (b) — Which of the following is an example of a wheel and axle system?
Wheel and axle means a larger circle turning a smaller one on a shared axis — the screwdriver’s handle turns its shaft. Bottle opener and hammer are levers; a knife is a wedge. Classifying the machine first kills the guesswork.
Q40. (a) — Passage of a light ray through a certain object is called:
Light passing through is transmission; soaking in is absorption; bouncing off is reflection. Three fates of light — match each verb to its behaviour and the options separate cleanly.
Subjective portion — 60 marks
Transcribed where the scan is legible, flagged where it is not. The worked methods for the numerical items are ours; the essay and report items get none on purpose — a student needs their own words under exam pressure, not ours.
English — Short Questions — 10 marks
Answer any five questions. (2 × 5 = 10 marks)
I (2) Who was the first woman who embraced Islam?
II (2) What are the causes of air pollution?
III (2) What message does Eid give?
IV (2) What should we do before getting on a bus?
V (2) How should we serve our country?
VI (2) What was the name of the first woman who embraced Islam?
Scan note: The scan prints a near-duplicate of item I here.
VII (2) How should we behave with other passengers while travelling on a bus?
Urdu — Short Questions — 10 marks
Answer (any five) questions from the following. (2 × 5 = 10 marks)
— (10 total) Item text not transcribable readably from the scan.
Scan note: The Urdu subjective items are too degraded in the available scan for a faithful transcription. The official document at the provenance links above carries it readable; the skills tested — محاورے، جملوں کی درست صورت، عبارت — are practised in this site's Urdu units.
Mathematics — 10 marks
Q1 (3) A number is multiplied by 5 and 3 is subtracted from it. If the result is 32, find the number.
Method: Build the equation one operation per line: 5x − 3 = 32 → 5x = 35 → x = 7. Check by running the paper's sentence on 7: 5 × 7 − 3 = 32 ✓.
Q1 OR (3) Find the HCF of 60, 72 and 84.
Method: Prime factorise: 60 = 2²·3·5, 72 = 2³·3², 84 = 2²·3·7. Common factors 2²·3 = 12 → HCF = 12. HCF takes the LOWEST power of each shared prime.
Q2 (3) The marked price of an object is Rs. 2500. If the sale price is Rs. 2400, find the discount percentage.
Method: Discount is always measured on the marked price: (2500 − 2400) / 2500 = 100/2500 = 4%. Divide by the MARKED price — dividing by the sale price is the classic wrong-turn.
Q2 OR (3) Simplify: 75 ÷ 35 × 46 − 43 (mixed-fraction expression as printed).
Scan note: The exact fractions in this expression are not legible in the scan — attempt the other option.
Q3 (4) A piece of cloth is 32 m long. Two pieces have been cut from it; find the length of the remaining piece.
Scan note: The cut lengths print as two mixed fractions the scan leaves half-legible (roughly 3⅗ m and 5⅔ m by the visible denominators). Method regardless of the exact numbers: remaining = 32 − (first piece) − (second piece), subtracting as mixed fractions with a common denominator.
Science — Short Questions — 10 marks
Answer in 3 to 4 lines.
Q1 (3) Differentiate animal cell and plant cell.
Method: Three columns: cell wall — plant only; chloroplast — plant only; one big central vacuole — plant, where the animal cell has several small ones. The centriole is the animal-side structure.
Q1 OR (3) Write a short note on respiration in plants.
Q2 (3) What is the difference between a fixed pulley and a moveable pulley?
Method: Fixed pulley: the wheel stays put and only the rope runs over it — it changes the direction of your effort without multiplying force. Moveable pulley: the wheel travels with the load and shares the weight, so force required drops.
Q2 OR (3) Differentiate concave mirror and convex mirror.
Method: Concave curves inward and can converge light to a real focus (think of the inside-surface of a spoon); convex bulges outward and always spreads light into an upright, smaller virtual image (the outside-surface).
Q3 (4) When an empty glass is inverted vertically in a tub of water, the water does not enter inside the inverted glass. Why is it so?
Method: The glass goes down full of air, and the air cannot escape sideways through a closed top boundary — it stays trapped ABOVE the sealed edge and keeps pressing down with atmospheric pressure. The trapped air's pressure builds exactly enough to balance the water pushing up at the mouth, so no water enters. A dry towel tucked into the glass before dipping stays dry — the trapped air's final demonstration.
Long Questions — 15 marks
English (5) Write a story on: The Fox and the Grapes.
OR — Write an application to your school principal for a fee concession.
Urdu (5) Urdu — the prose topic text is not legible in the scan.
Scan note: Same honest miss: the official document carries it readable. The syllabus behind it is this site's Urdu units.
Science (5) Illustrate the internal structure of a leaf with a diagram and explain its different parts.
OR — Describe the characteristics of the image formed by a convex mirror with the help of diagrams.
Maths (5) Two water tanks have 630 litres and 672 litres volume capacity each. Find the volume of the largest pot that fills both tanks exactly.
OR — A square garden has a length of 65 m. A path 3 m wide runs around it on the outside. Find the area of the path.
Method: ‘Fills both exactly’ = a volume that divides 630 and 672 with zero remainder → HCF. 630 = 2·3²·5·7, 672 = 2⁵·3·7 → HCF = 2·3·7 = 42 litres. Check: 630 = 42 × 15 and 672 = 42 × 16 ✓ — 15 fills the first, 16 the second.
OR-method: Outer square side = 65 + 3 + 3 = 71 m. Path area = 71² − 65² = (71 − 65)(71 + 65) = 6 × 136 = 816 m². The difference-of-squares factorisation keeps the arithmetic small.
The official paper — the questions everyone asks
Is this an official past paper of a cadet college?
It is official, but not a past paper. The Balochistan Academy for College Teachers (BACT), Quetta — the body that trains teachers for the Balochistan cadet colleges and residential colleges — publishes model papers for the Class-7 admission test. This page typesets that model paper exactly, with every link to the official source. Colleges still do not publish their own past entry papers; that answer has not changed.
Does the answer key come from BACT?
No — and it says so above the key. BACT's published model paper carries questions only. Every worked answer on this page was solved and checked by this site, with an explanation that teaches the method. One printed item (Q25) is visibly inconsistent in the available copy and is flagged rather than answered.
Why is the Urdu MCQ section missing?
Because honesty outranks completeness. The copy of the paper available to this site is a degraded scan, and the Urdu section's reflowed, reversed script cannot be transcribed word-for-word from it. Rather than print guessed or wrong Urdu, the section is clearly marked as not reproduced, with the official source linked for a fully readable original.
Who should sit this paper?
Anyone preparing for Class-7 admission to the Balochistan cadet colleges or the Balochistan Residential Colleges (BRCs) — this is the pattern those institutions' own exam authority publishes. Students aiming at other colleges' Class-7 gates benefit from it too: the subject mix of English, maths, science and Urdu objective questions matches the national entry-test pattern.
Is the paper free to download and share?
The typeset version and printable PDF are free here with no sign-up. We show full attribution to BACT — this is their document, presented with credit so students can reach the source. Print it, sit it in one go, mark it with the key, and take every missed topic into the free practice engine.
The rest of the shelf
This official paper is the pattern authority for the Balochistan Class-7 gate. For a full 100-question rehearsal at exam length, the shelf carries original papers written fresh from the published national pattern.
Missed topics after marking? Sit the matching questions online, free:
Aiming at a college that inducts at Class 8? Sit that paper instead — different questions, same discipline.
Open the Class-8 sample paperThis page typesets an official model paper published by the Balochistan Academy for College Teachers (BACT), Quetta, with full attribution and source links; the preservation credit for the typeset is this site's. The answer key and method notes are original work of Cadet College Prep and no institution has reviewed or endorsed them. See our copyright page for usage terms.