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Next attempt · NDA I 2027 · April 2027

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In the exam, 120 questions arrive unannounced.
Every wrong guess costs 0.83.
Most find out where they stand on result day.

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Wednesday, 29 JulyNDA I 2027 · April 2027

Today’s mission

18 questions · about 18 minutes

46/ 300

floor 75target 120

Begin session

74 marks to your target

Click a tab - see a day inside Mentr ↓

The daily loop

Every day, the next right thing.

A daily mission sized to your day, a to-do list that knows what comes after, and a week view that keeps you honest.

mentrby Metis Labs

Wednesday, 29 JulyNDA I 2027 · April 2027

Today’s mission

18 questions · about 18 minutes

Focused on Matrices and Determinants, your biggest gap on the way to a safe 120-mark clear.

Shown up: 5 of 7

days

41%

Accuracy

6/14

Topics measured

Marks to target

Begin session Browse Practice

Projected

46 / 300

74 marks to your target

floor 75target 120

Up next

To do

NDA I 2027 · April 2027

1
Complete today’s session
18 questions · about 18 minutes
2
Drill Matrices and Determinants
28% recent accuracy · your lowest measured topic
3
Review your mistakes
Spaced repetition of your recent slips.

Free Mock · 27 Jul

Free full mock

Review

−7

4 right · 20 wrong · 0 skipped

This week

60questions practised

last 7 dayspeak Mon

Needs attention

View all topics in Progress →

Matrices and Determinants

Critical

Trigonometry

Needs work

Analytical Geometry 2D

Needs work

Ranked by expected marks lost. Open Readiness →

Readiness

Am I going to be ready? The honest, in-depth answer.

NDA I 2027 · April 2027

Trajectory

Projected marks · last 8 weeks

ProjectedTarget 120Floor 75

Topic mastery

6 topics · weakest first

Analytical Geometry 3D
12% of examCritical
Matrices and Determinants
10% of examNeeds work
Trigonometry
18% of examNeeds work
Differential Calculus
15% of examNeeds work
Algebra
20% of examGrowing
Analytical Geometry 2D
10% of examGrowing

Mock history

Full-length simulations

MockDateScoreAccuracyΔ prev

Mock 2Jul 2052 / 30038%↑ 14
Mock 1Jul 638 / 30030%-

BackFree Mock · 27/7/2026 · results

Your score

−6.6 / 60

4 correct · 20 wrong · 0 skipped · 17%

Solid pace. The 20 wrong ones matter more than the 4 right - go see them. Analytical Geometry 2D is where the marks leaked.

Review answersBack

4Correct

20Wrong

0Skipped

Analysis

Analytical Geometry 2D
0/7 · Critical
Analytical Geometry 3D
0/6 · Critical
Algebra
1/4 · Critical
Differential Calculus
1/3 · Needs Work
Matrices and Determinants
1/2 · Growing
Trigonometry
1/2 · Growing

17% this test · 42% your running average

The pattern costing you the most marks

Assertion & Reason · Analytical Geometry 2D

You keep assuming the assertion must imply the reason - they are independent statements that can each be true on their own.

You answered 8% of these correctly on this test (6 attempts) - this pattern sits in a topic worth 12% of the NDA paper.

Coach's note

What happened

Speed was fine, accuracy wasn't. Geometry is where the marks leaked - both 2D and 3D went unanswered correctly. Calculus was closer than the score looks; those slips were silly mistakes, not gaps.

Patterns I see

Geometry is the leak
0 from 13 across 2D and 3D, and these carry heavy exam weight.
Negative marking bit hard
20 wrong at −0.83 each cost you 16.6 marks. Skip when uncertain.
Calculus slips are fixable
Most errors were sign and arithmetic, not concept gaps.

Do this next

Drill Analytical Geometry 2D

18 questions · about 18 minutes

Review the 20 wrong answers

Each one is filed with a worked solution

Take a full mock

120 questions · 2½ hrs · +2.5/−0.83

Free Mock · 27/7/2026 · Attempt #1

The loop-closer

Mistake sprint

Your 7 open mistakes, served fresh as a drill - explained after each one. Clear the notebook, keep the lesson.

3 of these are Matrices and Determinants.

10152030All

Start sprint

By topicNewest first

TopicAll topics

Matrices and Determinants

3 openDrill these

If A is a 3×3 matrix and det(A) = 5, then det(2A) equals:Free Mock · 27 Jul 2026Wrong

A10Your answer

B20

C40Correct answer

Why: For an n×n matrix A, det(kA) = kⁿ·det(A). With n = 3 and k = 2, det(2A) = 2³·5 = 8·5 = 40.

You scaled det by 2, but 2 multiplies every row, so it compounds three times.

If A and B are square matrices of the same order, then (AB)ᵀ equals:Free Mock · 27 Jul 2026Wrong

The rank of a 4×4 matrix with every entry equal to 1 is:PYQ practice · 25 Jul 2026Skipped

Analytical Geometry 2D

2 openDrill these

The angle between the lines y = 2x + 3 and y = −3x + 1 is:Free Mock · 27 Jul 2026Wrong

A45°Correct answer

B90°

C60°Your answer

D30°

Why: tan θ = |(m₁ − m₂)/(1 + m₁m₂)| = |(2 − (−3))/(1 + 2·(−3))| = |5/−5| = 1, so θ = 45°.

m₁m₂ lives in the denominator. The negative slope flips the sign and trips the formula.

The locus of the points equidistant from (3, 0) and (0, 3) is:Free Mock · 27 Jul 2026Wrong

Differential Calculus

2 openDrill these

If f(x) = x³ − 3x² + 2, the number of distinct real roots of f(x) = 0 is:Free Mock · 27 Jul 2026Wrong

B2Your answer

C3Correct answer

Why: f(1) = 0, so (x − 1) is a factor. The quotient x² − 2x − 2 has discriminant 12 > 0, giving two more real roots, three in total.

One rational root hid two irrationals. Finish the factorisation before you count.

The derivative of (ln x)² with respect to x is:PYQ practice · 24 Jul 2026Wrong

End testMock 1

1:47:23Questions7/120Submit

Question 7+2.5 · −0.83

If the determinant of the matrix [[3, 1], [2, 4]] is evaluated, its value is:

Matrices and Determinants · Medium

B10

C12

D14

Mark for reviewClear choice

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300 marks · 120 questions · 2½ hours · +2.5 / −0.83 · April 2027

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