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← BUET Model Test for Exam

ORIGINAL WRITTEN REHEARSAL

Model Test for Exam

BUET Model Test for Exam

Choose a subject or the available combined paper. The 30- and 90-minute timers are practice options, not a claim about the institution’s current format. These original questions are not past papers. Answers stay in this browser; no school grade, coin balance or enrolment changes.

Set 1 of 1 available paper set.

10 written questions: 6 can be checked against the answer key; 4 need a guardian or subject teacher to review. Architecture drawing is an optional separate paper.

Your written questions

Work on paper and enter the requested answer. Explain reasoning in the longer response boxes. Keep your work if you want a teacher to review it.

Algebra, trigonometry, coordinate geometry and calculus

Model answer and review guidance

-4

(x−3)²−4 has minimum −4.

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

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.

The automatic result counts exact supported answer-key matches. Other valid wording, working, handwriting and compositions need human review. It is not an overall examination mark or an admission prediction.