JEE Main 8 April 2023 Shift 2 Question Paper with Answers
8 April 2023 · April session · 90 questions
The complete JEE Main 8 April 2023 Shift 2 paper — all 90 questions with the correct answer for each, tagged to the chapter it tests. Free to read, no account needed.
Physics
30
Chemistry
30
Mathematics
30
Physics — JEE Main 8 April 2023 Shift 2
Q1·PhysicsSingle correct
Electric potential at a point P due to a point charge of 5×10−9 C is 50 V. The distance of P from the point charge is: (Assume 4πε01=9×109 Nm2C−2)
(A)3 cm
(B)9 cm
(C)90 cm
(D)0.9 cm
Q2·PhysicsSingle correct
For a particle P revolving round the centre O with radius of circular path r and angular velocity ω, as shown in the figure, the projection of OP on the x-axis at time t is
(A)x(t)=rcos(ωt+6π)
(B)x(t)=rcos(ωt)
(C)x(t)=rsin(ωt+6π)
(D)x(t)=rcos(ωt−6π)
Q3·PhysicsSingle correct
Match List-I (physical quantity) with List-II (dimensional formula). Choose the correct answer from the options given below:
List-I (Physical quantity)
List-II (Dimensional formula)
A.Torque
I.ML−2T−2
B.Stress
II.ML2T−2
C.Pressure gradient
III.ML−1T−1
D.Coefficient of viscosity
IV.ML−1T−2
(A)A-III, B-IV, C-I, D-II
(B)A-IV, B-II, C-III, D-I
(C)A-II, B-IV, C-I, D-III
(D)A-II, B-I, C-IV, D-III
Q4·PhysicsSingle correct
For a given transistor amplifier circuit in CE configuration VCC=1 V, Rc=1 kΩ, Rb=100 kΩ and β=100. The value of base current Ib is
(A)Ib=1.0μA
(B)Ib=0.10μA
(C)Ib=100μA
(D)Ib=10μA
Q5·PhysicsSingle correct
The trajectory of a projectile, projected from the ground is given by y=x−20x2, where x and y are measured in metre. The maximum height attained by the projectile will be
(A)5 m
(B)102 m
(C)200 m
(D)10 m
Q6·PhysicsSingle correct
A radioactive material is reduced to 81 of its original amount in 3 days. If 8×10−3 kg of the material is left after 5 days, the initial amount of the material is
(A)64 g
(B)40 g
(C)32 g
(D)256 g
Q7·PhysicsSingle correct
The equivalent resistance between A and B shown in the figure is:
(A)5 kΩ
(B)30 kΩ
(C)10 kΩ
(D)20 kΩ
Q8·PhysicsSingle correct
A hydraulic automobile lift is designed to lift vehicles of mass 5000 kg. The area of cross section of the cylinder carrying the load is 250 cm2. The maximum pressure the smaller piston would have to bear is [Assume g=10 m/s2]:
(A)200×106 Pa
(B)20×106 Pa
(C)2×106 Pa
(D)2×105 Pa
Q9·PhysicsSingle correct
The orbital angular momentum of a satellite revolving in a circular orbit at a distance r from the centre of the earth is L. If the distance of the satellite from the centre of the earth is increased to nine times its initial value, then the new angular momentum will be
(A)8L
(B)4L
(C)9L
(D)3L
Q10·PhysicsSingle correct
The temperature at which the kinetic energy of oxygen molecules becomes double of its value at 27∘C is
(A)1227∘C
(B)927∘C
(C)327∘C
(D)627∘C
Q11·PhysicsSingle correct
The acceleration due to gravity at height h above the earth, if h≪R (radius of the earth), is given by
(A)g′=g(1−R2h)
(B)g′=g(1−R2h2)
(C)g′=g(1−2Rh)
(D)g′=g(1−2R2h2)
Q12·PhysicsSingle correct
Work done by a Carnot engine operating between temperatures 127∘C and 27∘C is 2 kJ. The amount of heat transferred to the engine by the reservoir is:
(A)4 kJ
(B)2 kJ
(C)8 kJ
(D)2.67 kJ
Q13·PhysicsSingle correct
Given below are two statements:
Statement I: Area under velocity-time graph gives the distance travelled by the body in a given time.
Statement II: Area under acceleration-time graph is equal to the change in velocity in the given time. In the light of the given statements, choose the correct answer from the options given below.
(A)Both Statement I and Statement II are true
(B)Statement I is correct but Statement II is false
(C)Statement I is incorrect but Statement II is true
(D)Both Statement I and Statement II are false
Q14·PhysicsSingle correct
The waves emitted when a metal target is bombarded with high energy electrons are
(A)Microwaves
(B)X-rays
(C)Infrared rays
(D)Radio Waves
Q15·PhysicsSingle correct
The width of a fringe is 2 mm on the screen in a double slit experiment for light of wavelength 400 nm. The width of the fringe for light of wavelength 600 nm will be:
(A)4 mm
(B)1.33 mm
(C)3 mm
(D)2 mm
Q16·PhysicsSingle correct
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: Electromagnets are made of soft iron.
Reason R: Soft iron has high permeability and low retentivity.
In the light of the above statements, choose the most appropriate answer from the options given below.
(A)A is false but R is true
(B)Both A and R are true and R is the correct explanation of A
(C)Both A and R are true but R is NOT the correct explanation of A
(D)A is true but R is false
Q17·PhysicsSingle correct
In photoelectric effect: A. The photocurrent is proportional to the intensity of the incident radiation. B. Maximum kinetic energy with which photoelectrons are emitted depends on the intensity of incident light. C. Maximum K.E. with which photoelectrons are emitted depends on the frequency of incident light. D. The emission of photoelectrons requires a minimum threshold intensity of incident radiation. E. Maximum K.E. of the photoelectrons is independent of the frequency of the incident light. Choose the correct answer from the options below:
(A)A and C only
(B)A and E only
(C)B and C only
(D)A and B only
Q18·PhysicsSingle correct
An emf of 0.08 V is induced in a metal rod of length 10 cm held normal to a uniform magnetic field of 0.4 T, when it moves with a velocity of:
(A)2 ms−1
(B)3.2 ms−1
(C)0.5 ms−1
(D)20 ms−1
Q19·PhysicsSingle correct
A bullet of mass 0.1 kg moving horizontally with speed 400 ms−1 hits a wooden block of mass 3.9 kg kept on a horizontal rough surface. The bullet gets embedded into the block and moves 20 m before coming to rest. The coefficient of friction between the block and the surface is ____. (Given g=10 m/s2)
(A)0.50
(B)0.90
(C)0.65
(D)0.25
Q20·PhysicsSingle correct
The power radiated from a linear antenna of length l is proportional to (Given λ= wavelength of wave):
(A)λl
(B)λ2l
(C)λl2
(D)(λl)2
Q21·PhysicsNumerical
A series combination of a resistor of resistance 100 Ω, an inductor of inductance 1 H and a capacitor of capacitance 6.25 μF is connected to an ac source. The quality factor of the circuit will be ____.
Q22·PhysicsNumerical
A guitar string of length 90 cm vibrates with a fundamental frequency of 120 Hz. The length of the string producing a fundamental frequency of 180 Hz will be ____ cm.
Q23·PhysicsNumerical
The ratio of the wavelengths of the spectral lines Hα and Hβ in the Balmer series is 20x. The value of x is ____.
Q24·PhysicsNumerical
The number density of free electrons in copper is nearly 8×1028 m−3. A copper wire has its area of cross section =2×10−6 m2 and is carrying a current of 3.2 A. The drift speed of the electrons is ____ ×10−5 ms−1.
Q25·PhysicsNumerical
A steel rod of length 1 m and cross sectional area 10−4 m2 is heated from 0∘C to 200∘C without being allowed to extend or bend. The compressive tension produced in the rod is ____ ×104 N. (Given Young's modulus of steel =2×1011 N/m2, coefficient of linear expansion =10−5 K−1.)
Q26·PhysicsNumerical
A hollow spherical ball of uniform density rolls up a curved surface with an initial velocity 3 m/s (as shown in the figure). The maximum height with respect to the initial position covered by it will be ____ cm.
Q27·PhysicsNumerical
A body of mass 5 kg is moving with a momentum of 10 kg ms−1. A force of 2 N acts on the body in the direction of its motion for 5 s. The increase in the kinetic energy of the body is ____ J.
A 600 pF capacitor is charged by a 200 V supply. It is then disconnected from the supply and is connected to another uncharged 600 pF capacitor. The electrostatic energy lost in the process is ____ μJ.
Q29·PhysicsNumerical
Two transparent media having refractive indices 1.0 and 1.5 are separated by a spherical refracting surface of radius of curvature 30 cm. The centre of curvature of the surface is towards the denser medium and a point object is placed on the principal axis in the rarer medium at a distance of 15 cm from the pole of the surface. The distance of the image from the pole of the surface is ____ cm.
Q30·PhysicsNumerical
The ratio of the magnetic field at the centre of a current carrying coil of radius r to the magnetic field at a distance r from the centre of the coil on its axis is x:1. The value of x is ____.
Chemistry — JEE Main 8 April 2023 Shift 2
Q31·ChemistrySingle correct
Which of the following have the same number of significant figures? A. 0.00253 B. 1.0003 C. 15.0 D. 163. Choose the correct answer from the options given below.
(A)A, B and C only
(B)C and D only
(C)A, C and D only
(D)B and C only
Q32·ChemistrySingle correct
Which of these reactions is not a part of the breakdown of ozone in the stratosphere?
(A)ClO(g)+O(g)→Cl(g)+O2(g)
(B)Cl(g)+O3(g)→ClO(g)+O2(g)
(C)2ClO→ClO2(g)+Cl(g)
(D)CF2Cl2(g)uvCl(g)+CF2Cl(g)
Q33·ChemistrySingle correct
The correct IUPAC nomenclature for the following compound is
(A)5-Formyl-2-methylhexanoic acid
(B)2-Methyl-5-oxohexanoic acid
(C)2-Formyl-5-methylhexan-6-oic acid
(D)5-Methyl-2-oxohexan-6-oic acid
Q34·ChemistrySingle correct
Arrange the following gases in increasing order of van der Waals constant 'a': A. Ar B. CH4 C. H2O D. C6H6. Choose the correct option from the following:
(A)B, C, D and A
(B)C, D, B and A
(C)A, B, C and D
(D)D, C, B and A
Q35·ChemistrySingle correct
Given below are two statements:
Statement I: Methyl orange is a weak acid.
Statement II: The benzenoid form of methyl orange is more intense/deeply coloured than the quinonoid form.
In the light of the above statements, choose the most appropriate answer from the options given below:
(A)Statement I is correct but Statement II is incorrect
(B)Statement I is incorrect but Statement II is correct
(C)Both Statement I and Statement II are incorrect
(D)Both Statement I and Statement II are correct
Q36·ChemistrySingle correct
Given below are two statements:
Statement I: In redox titration, the indicators used are sensitive to change in pH of the solution.
Statement II: In acid-base titration, the indicators used are sensitive to change in oxidation potential.
In the light of the above statements, choose the most appropriate answer from the options given below.
(A)Both Statement I and Statement II are correct
(B)Statement I is incorrect but Statement II is correct
(C)Statement I is correct but Statement II is incorrect
(D)Both Statement I and Statement II are incorrect
Q37·ChemistrySingle correct
The product (P) formed from the following multistep reaction is:
(A)(1)
(B)(2)
(C)(3)
(D)(4)
Q38·ChemistrySingle correct
The correct reaction profile diagram for a positively catalysed reaction is:
(A)(1)
(B)(2)
(C)(3)
(D)(4)
Q39·ChemistrySingle correct
Which of the following can reduce the decomposition of H2O2 on exposure to light?
(A)Alkali
(B)Urea
(C)Dust
(D)Glass containers
Q40·ChemistrySingle correct
The statement/s which are true about antagonists from the following is/are: A. They bind to the receptor site. B. They get transferred inside the cell for their action. C. They inhibit the natural communication of the body. D. They mimic the natural messenger. Choose the correct answer from the options given below:
(A)B only
(B)A, C and D
(C)A and B
(D)A and C
Q41·ChemistrySingle correct
Match List-I (coordination complex) with List-II (number of unpaired electrons). Choose the correct answer from the options given below:
List-I (Coordination complex)
List-II (Number of unpaired electrons)
A.[Cr(CN)6]3−
I.0
B.[Fe(H2O)6]2+
II.3
C.[Co(NH3)6]3+
III.2
D.[Ni(NH3)6]2+
IV.4
(A)A-II, B-IV, C-I, D-III
(B)A-IV, B-III, C-II, D-I
(C)A-III, B-IV, C-I, D-II
(D)A-II, B-I, C-IV, D-III
Q42·ChemistrySingle correct
The major product 'P' formed in the following reaction is:
(A)(1)
(B)(2)
(C)(3)
(D)(4)
Q43·ChemistrySingle correct
In the Hall-Heroult process, the following is used for reducing Al2O3:
(A)Graphite
(B)Magnesium
(C)Na3AlF6
(D)CaF2
Q44·ChemistrySingle correct
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: Sodium is about 30 times as abundant as potassium in the oceans.
Reason R: Potassium is bigger in size than sodium.
In the light of the above statements, choose the correct answer from the options given below.
(A)Both A and R are true and R is the correct explanation of A
(B)A is true but R is false
(C)A is false but R is true
(D)Both A and R are true but R is NOT the correct explanation of A
Q45·ChemistrySingle correct
Match List-I (natural amino acid) with List-II (one letter code). Choose the correct answer from the options given below:
List-I (Natural amino acid)
List-II (One letter code)
A.Glutamic acid
I.Q
B.Glutamine
II.W
C.Tyrosine
III.E
D.Tryptophan
IV.Y
(A)A-II, B-I, C-IV, D-III
(B)A-IV, B-III, C-I, D-II
(C)A-III, B-I, C-IV, D-II
(D)A-III, B-IV, C-I, D-II
Q46·ChemistrySingle correct
Henry Moseley studied the characteristic X-ray spectra of elements. The graph which represents his observation correctly is: (Given v= frequency of X-ray emitted; Z= atomic number)
The descending order of acidity for the following carboxylic acids is: A. CH3COOH B. F3C–COOH C. ClCH2–COOH D. FCH2–COOH E. BrCH2–COOH. Choose the correct answer from the options given below:
(A)D > B > A > E > C
(B)E > D > B > A > C
(C)B > C > D > E > A
(D)B > D > C > E > A
Q48·ChemistrySingle correct
The correct order of reactivity of the following haloarenes towards nucleophilic substitution with aqueous NaOH is:
(A)A > B > D > C
(B)C > A > D > B
(C)D > C > B > A
(D)D > B > A > C
Q49·ChemistrySingle correct
For a good quality cement, the ratio of lime to the total of the oxides of Si, Al and Fe should be as close as to:
(A)4
(B)2
(C)3
(D)1
Q50·ChemistrySingle correct
A compound 'X' when treated with phthalic anhydride in presence of concentrated H2SO4 yields 'Y'. 'Y' is used as an acid/base indicator. 'X' and 'Y' are respectively:
(A)Carbolic acid, Phenolphthalein
(B)Anisole, Methyl orange
(C)Salicylaldehyde, Phenolphthalein
(D)Toluidine, Phenolphthalein
Q51·ChemistryNumerical
The solubility product of BaSO4 is 1×10−10 at 298 K. The solubility of BaSO4 in 0.1 M K2SO4(aq) solution is ____ ×10−9 g L−1 (nearest integer). Given: Molar mass of BaSO4 is 233 g mol−1.
Q52·ChemistryNumerical
Coagulating values of the electrolytes AlCl3 and NaCl for As2S3 are 0.09 and 50.04 respectively. The coagulating power of AlCl3 is x times the coagulating power of NaCl. The value of x is ____.
Q53·ChemistryNumerical
The number of atomic orbitals from the following having 5 radial nodes is ____. 7s, 7p, 6s, 8p, 8d
Q54·ChemistryNumerical
For complete combustion of ethene, C2H4(g)+3O2(g)→2CO2(g)+2H2O(l), the amount of heat produced as measured in a bomb calorimeter is 1406 kJ mol−1 at 300 K. The minimum value of TΔS needed to reach equilibrium is (−) ____ kJ (nearest integer). Given: R=8.3 JK−1mol−1.
Q55·ChemistryNumerical
The number of species from the following carrying a single lone pair on the central atom xenon is ____. XeF5+, XeO3, XeO2F2, XeF5−, XeO3F2, XeOF4, XeF4
Q56·ChemistryNumerical
If the boiling points of two solvents X and Y (having the same molecular weights) are in the ratio 2:1 and their enthalpies of vaporization are in the ratio 1:2, then the boiling point elevation constant of X is m times the boiling point elevation constant of Y. The value of m is ____ (nearest integer).
Q57·ChemistryNumerical
The sum of the oxidation states of the metals in Fe(CO)5, VO2+ and WO3 is ____.
Q58·ChemistryNumerical
The observed magnetic moment of the complex [Mn(NCS)6]x− is 6.06 BM. The numerical value of x is ____.
Q59·ChemistryNumerical
The number of incorrect statements from the following is ____. A. The electrical work that a reaction can perform at constant pressure and temperature is equal to the reaction Gibbs energy. B. Ecell0 is dependent on the pressure. C. (dTdEcell0)=nFΔrS0. D. A cell is operating reversibly if the cell potential is exactly balanced by an opposing source of potential difference.
Q60·ChemistryNumerical
The ratio of sigma and π bonds present in pyrophosphoric acid is ____.
Mathematics — JEE Main 8 April 2023 Shift 2
Q61·MathematicsSingle correct
Let the mean and variance of 12 observations be 29 and 4 respectively. Later on, it was observed that two observations were considered as 9 and 10 instead of 7 and 14 respectively. If the correct variance is nm, where m and n are co-prime, then m+n is equal to
(A)316
(B)314
(C)317
(D)315
Q62·MathematicsSingle correct
Let an be the nth term of the series 5+8+14+23+35+50+… and Sn=∑k=1nak. Then S30−a40 is equal to
(A)11310
(B)11280
(C)11290
(D)11260
Q63·MathematicsSingle correct
Let P be the plane passing through the line 1x−1=−3y−2=7z+5 and the point (2,4,−3). If the image of the point (−1,3,4) in the plane P is (α,β,γ), then α+β+γ is equal to
(A)12
(B)11
(C)9
(D)10
Q64·MathematicsSingle correct
Let A={θ∈(0,2π):1−isinθ1+2isinθ is purely imaginary}. Then the sum of the elements in A is
(A)π
(B)2π
(C)4π
(D)3π
Q65·MathematicsSingle correct
The absolute difference of the coefficients of x10 and x7 in the expansion of (2x2+2x1)11 is equal to
(A)123−12
(B)113−11
(C)103−10
(D)133−13
Q66·MathematicsSingle correct
If the number of words, with or without meaning, which can be made using all the letters of the word MATHEMATICS in which C and S do not come together, is (6!)k, then k is equal to
Let S be the set of all values of θ∈[−π,π] for which the system of linear equations x+y+3z=0, −x+(tanθ)y+7z=0, x+y+(tanθ)z=0 has non-trivial solution. Then π120∑θ∈Sθ is equal to
(A)40
(B)10
(C)20
(D)30
Q68·MathematicsSingle correct
If the probability that the random variable X takes values x is given by P(X=x)=k(x+1)3−x, x=0,1,2,3,…, where k is a constant, then P(X≥2) is equal to
(A)271
(B)1811
(C)187
(D)2720
Q69·MathematicsSingle correct
The value of 36(4cos29∘−1)(4cos227∘−1)(4cos281∘−1)(4cos2243∘−1) is
(A)54
(B)18
(C)27
(D)36
Q70·MathematicsSingle correct
The integral ∫((2x)x+(x2)x)log2xdx is equal to
(A)(2x)x+(x2)x+C
(B)(2x)x−(x2)x+C
(C)(2x)xlog2(2x)+C
(D)(2x)xlog2(x2)+C
Q71·MathematicsSingle correct
The area of the quadrilateral ABCD with vertices A(2,1,1), B(1,2,5), C(−2,−3,5) and D(1,−6,−7) is equal to
(A)48
(B)838
(C)54
(D)938
Q72·MathematicsSingle correct
For a,b∈Z and ∣a−b∣≤10, let the angle between the plane P:ax+y−z=b and the line l:x−1=a−y=z+1 be cos−1(31). If the distance of the point (6,−6,4) from the plane P is 36, then a4+b2 is equal to
(A)25
(B)85
(C)48
(D)32
Q73·MathematicsSingle correct
25190−19190−8190+2190 is divisible by
(A)34 but not by 14
(B)both 14 and 34
(C)neither 14 nor 34
(D)14 but not by 34
Q74·MathematicsSingle correct
Let the vectors u1=i^+j^+ak^, u2=i^+bj^+k^ and u3=ci^+j^+k^ be coplanar. If the vectors v1=(a+b)i^+cj^+ck^, v2=ai^+(b+c)j^+ak^ and v3=bi^+bj^+(c+a)k^ are also coplanar, then 6(a+b+c) is equal to
(A)0
(B)6
(C)12
(D)4
Q75·MathematicsSingle correct
Let O be the origin and OP and OQ be the tangents to the circle x2+y2−6x+4y+8=0 at the points P and Q on it. If the circumcircle of the triangle OPQ passes through the point (α,21), then a value of α is
If α>β>0 are the roots of the equation ax2+bx+1=0, and x→α1lim(2(1−αx)21−cos(x2+bx+a))21=k1(β1−α1), then k is equal to
(A)2β
(B)2α
(C)α
(D)β
Q78·MathematicsSingle correct
If A=[1λ510], A−1=αA+βI and α+β=−2, then 4α2+β2+λ2 is equal to
(A)12
(B)10
(C)19
(D)14
Q79·MathematicsSingle correct
Let A(0,1), B(1,1) and C(1,0) be the mid-points of the sides of a triangle with incentre at the point D. If the focus of the parabola y2=4ax passing through D is (α+β2,0), where α and β are rational numbers, then β2α is equal to
(A)6
(B)8
(C)12
(D)29
Q80·MathematicsSingle correct
Let A={1,2,3,4,5,6,7}. Then the relation R={(x,y)∈A×A:x+y=7} is
(A)transitive but neither symmetric nor reflexive
(B)reflexive but neither symmetric nor transitive
(C)an equivalence relation
(D)symmetric but neither reflexive nor transitive
Q81·MathematicsNumerical
Let [t] denote the greatest integer function. If ∫02.4[x2]dx=α+β2+γ3+δ5, then α+β+γ+δ is equal to
Let k and m be positive real numbers such that the function f(x)={3x2+kx+1,mx2+k2,0<x<1x≥1 is differentiable for all x>0. Then f′(81)8f′(8) is equal to
Q83·MathematicsNumerical
Let 0<z<y<x be three real numbers such that x1,y1,z1 are in an arithmetic progression and x,2y,z are in a geometric progression. If xy+yz+zx=23xyz, then 3(x+y+z)2 is equal to
Q84·MathematicsNumerical
If domain of the function loge(2x−16x2+5x+1)+cos−1(3x−52x2−3x+4) is (α,β)∪(γ,δ], then 18(α2+β2+γ2+δ2) is equal to
Q85·MathematicsNumerical
Let m and n be the numbers of real roots of the quadratic equations x2−12x+[x]+31=0 and x2−5∣x+2∣−4=0 respectively, where [x] denotes the greatest integer ≤x. Then m2+mn+n2 is equal to
Q86·MathematicsNumerical
The ordinates of the points P and Q on the parabola with focus (3,0) and directrix x=−3 are in the ratio 3:1. If R(α,β) is the point of intersection of the tangents to the parabola at P and Q, then αβ2 is equal to
Q87·MathematicsNumerical
Let the solution curve x=x(y), 0<y<2π, of the differential equation (loge(cosy))2cosydx−(1+3xloge(cosy))sinydy=0 satisfy x(3π)=2loge21. If x(6π)=logem−logen1, where m and n are co-prime, then mn is equal to
Q88·MathematicsNumerical
Let P1 be the plane 3x−y−7z=11 and P2 be the plane passing through the points (2,−1,0), (2,0,−1) and (5,1,1). If the foot of the perpendicular drawn from the point (7,4,−1) on the line of intersection of the planes P1 and P2 is (α,β,γ), then α+β+γ is equal to
Q89·MathematicsNumerical
Let R={a,b,c,d,e} and S={1,2,3,4}. Total number of onto functions f:R→S such that f(a)=1, is equal to
Q90·MathematicsNumerical
Let the area enclosed by the lines x+y=2, y=0, x=0 and the curve f(x)=min{x2+43,1+[x]}, where [x] denotes the greatest integer ≤x, be A. Then the value of 12A is
Chapters tested in this paper
Open any chapter to practise every past-year question on that topic across all papers, and see how often it has actually appeared.
Take the 8 April 2023 Shift 2 paper as a timed mock and Jarvis marks it, then tells you which errors were conceptual gaps, which were silly mistakes, and which pattern you have now repeated. Step-by-step solutions for every question included.