Algebra, trigonometry, coordinate geometry and calculus
Model answer and review guidance
-4
(x−3)²−4 has minimum −4.
ORIGINAL WRITTEN REHEARSAL
Model Test for Exam
BUET Model Test for Exam
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20 written questions: 12 can be checked against the answer key; 8 need a guardian or subject teacher to review. Architecture drawing is an optional separate paper.
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Algebra, trigonometry, coordinate geometry and calculus
Model answer and review guidance
2
(8−2)/(4−1)=2.
Algebra, trigonometry, coordinate geometry and calculus
Model answer and review guidance
1
The identity is 1 for every real angle.
Algebra, trigonometry, coordinate geometry and calculus
Model answer and review guidance
[x³] from 0 to 2 = 8.
Show antiderivative and both bounds.
Algebra, trigonometry, coordinate geometry and calculus
Model answer and review guidance
(x−2)(x−3)=0, so x=2 or 3; both give zero on substitution.
Show both roots and a check.
Passage or question givens
A 1 kg object falls 5 m from rest. Use g = 10 m/s² and neglect air resistance in the ideal model. Explain how appreciable drag would change that prediction.
Mechanics, thermal physics, waves and electricity
Model answer and review guidance
100
mgh=2×10×5.
Mechanics, thermal physics, waves and electricity
Model answer and review guidance
400
f=v/λ=300/0.75.
Mechanics, thermal physics, waves and electricity
Model answer and review guidance
120
E=Pt.
Mechanics, thermal physics, waves and electricity
Model answer and review guidance
mgh=mv²/2 gives v=√(2gh)=√100=10 m/s.
Show cancellation and the loss assumption.
Mechanics, thermal physics, waves and electricity
Model answer and review guidance
Some gravitational energy transfers to the air and thermal stores rather than kinetic energy.
Account for energy without claiming it is lost from the total.
Passage or question givens
Use CaCO3 → CaO + CO2, molar mass CaCO3 = 100 g/mol and, for the gas calculation only, ideal molar volume = 24 dm³/mol at the stated conditions.
Physical, inorganic and organic chemistry
Model answer and review guidance
12
0.5 mol×24=12.
Physical, inorganic and organic chemistry
Model answer and review guidance
3
−log10(10^-3)=3.
Physical, inorganic and organic chemistry
Model answer and review guidance
1
Its two carbon atoms share one double bond.
Physical, inorganic and organic chemistry
Model answer and review guidance
It changes rates of both directions without changing the equilibrium constant.
Distinguish speed from equilibrium composition.
Physical, inorganic and organic chemistry
Model answer and review guidance
12/16×100=75%; three quarters of the theoretical mass was recovered under the stated case.
Define the numerator and denominator and note possible recovery losses.
Passage or question givens
For the worked-case reasoning question, a rectangle has perimeter 20 length units. Let one side be x, with 0 < x < 10. Other questions state their own dimensions.
Multi-step numerical reasoning and checking solutions
Model answer and review guidance
9
Half-perimeter is 14; 14−5=9.
Multi-step numerical reasoning and checking solutions
Model answer and review guidance
49
The 7×7 square gives 49.
Multi-step numerical reasoning and checking solutions
Model answer and review guidance
5
18/3.6=5.
Multi-step numerical reasoning and checking solutions
Model answer and review guidance
A=10x−x²=25−(x−5)²≤25, with equality at x=5.
Use the domain and equality condition.
Multi-step numerical reasoning and checking solutions
Model answer and review guidance
It violates the original physical domain.
Check original constraints rather than the transformed equation alone.
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