Board Boosters
The questions your board exam loves to ask
800 most-asked Class 11 & 12 (+1 / +2) questions across Physics, Chemistry, Maths and Biology — each with a model answer and the exact marking-scheme points examiners reward. Revise smart, walk in calm.
ChemistryClass 113 marksmedium
Hydrogen
What is hard water? Distinguish between temporary and permanent hardness and give one method to remove each.
Reveal model answer + marking pointsHide answer▾
Hard water is water that does not give lather easily with soap because it contains dissolved calcium and magnesium salts. Temporary hardness is due to bicarbonates of Ca and Mg (Ca(HCO3)2, Mg(HCO3)2) and can be removed by boiling or by Clark's method (adding calculated slaked lime). Permanent hardness is due to chlorides and sulphates of Ca and Mg and is removed by adding washing soda (Na2CO3) or by the ion-exchange (permutit/resin) method.
Marking-scheme points
- ✓Hard water: contains Ca2+ and Mg2+ salts, no lather with soap
- ✓Temporary: bicarbonates -> removed by boiling / Clark's method
- ✓Permanent: chlorides and sulphates -> removed by washing soda / ion exchange
Still unsure? Ask the AI tutor →ChemistryClass 113 marksmedium
The s-Block Elements
Describe the trend in solubility of the hydroxides and sulphates of alkaline earth metals down the group. Give the flame colours of Ca, Sr and Ba.
Reveal model answer + marking pointsHide answer▾
Solubility of hydroxides increases down the group (Mg(OH)2 is sparingly soluble while Ba(OH)2 is fairly soluble) because lattice energy decreases faster than hydration energy. Solubility of sulphates decreases down the group (MgSO4 is soluble but BaSO4 is almost insoluble) because hydration energy decreases faster for the larger ions. Flame colours: calcium gives brick-red, strontium gives crimson-red and barium gives apple-green.
Marking-scheme points
- ✓Hydroxide solubility increases down group (lattice energy falls faster)
- ✓Sulphate solubility decreases down group (hydration energy falls faster)
- ✓Flame: Ca brick-red, Sr crimson, Ba apple-green
Still unsure? Ask the AI tutor →ChemistryClass 113 markshard
The p-Block Elements
Describe the structure and bonding in diborane (B2H6).
Reveal model answer + marking pointsHide answer▾
Diborane (B2H6) has two boron atoms and six hydrogen atoms. Four hydrogen atoms (two on each boron) are terminal and are bonded by normal two-centre two-electron (2c-2e) B-H bonds. The remaining two hydrogen atoms are bridging: each forms a three-centre two-electron (3c-2e) B-H-B bond, often called a banana bond. Each boron is sp3 hybridised. The molecule is electron-deficient because it does not have enough valence electrons for normal two-electron bonds throughout.
B2H6 (2 bridging + 4 terminal H)
Marking-scheme points
- ✓4 terminal B-H bonds (normal 2c-2e bonds)
- ✓2 bridging B-H-B bonds are 3c-2e (banana) bonds
- ✓Boron is sp3; molecule is electron-deficient
Still unsure? Ask the AI tutor →ChemistryClass 113 marksmedium
Organic Chemistry: Some Basic Principles and Techniques
What is structural isomerism? Name and briefly explain any three types.
🔒 Model answer + marking pointsUnlock with Premium →ChemistryClass 113 marksmedium
Organic Chemistry: Some Basic Principles and Techniques
What is hyperconjugation? How does it explain the stability of carbocations?
🔒 Model answer + marking pointsUnlock with Premium →ChemistryClass 113 marksmedium
Organic Chemistry: Some Basic Principles and Techniques
Briefly describe crystallisation, simple distillation and steam distillation as methods of purifying organic compounds.
🔒 Model answer + marking pointsUnlock with Premium →ChemistryClass 113 marksmedium
Hydrocarbons
How is ethene prepared by dehydration of ethanol? How can you test for unsaturation in an alkene?
🔒 Model answer + marking pointsUnlock with Premium →ChemistryClass 113 marksmedium
Hydrocarbons
State Huckel's rule of aromaticity. Why is benzene aromatic?
🔒 Model answer + marking pointsUnlock with Premium →ChemistryClass 113 marksmedium
Hydrocarbons
How would you chemically distinguish between ethane, ethene and ethyne?
🔒 Model answer + marking pointsUnlock with Premium →MathsClass 113 marksmedium
Sets
In a survey of 600 students, 150 drink tea, 225 drink coffee and 100 drink both tea and coffee. Find how many students drink neither tea nor coffee.
🔒 Model answer + marking pointsUnlock with Premium →MathsClass 113 marksmedium
Sets
Verify De Morgan's law (A union B)' = A' intersection B' for U = {1,2,3,4,5,6,7,8,9,10}, A = {2,3,4,5}, B = {4,5,6,7,8}.
🔒 Model answer + marking pointsUnlock with Premium →MathsClass 113 marksmedium
Relations and Functions
Find the domain and range of the function f(x) = sqrt(9 - x^2).
🔒 Model answer + marking pointsUnlock with Premium →MathsClass 113 marksmedium
Relations and Functions
If f(x) = x^2 + 1, find f(2), f(-1), and all values of x for which f(x) = 10.
🔒 Model answer + marking pointsUnlock with Premium →MathsClass 113 marksmedium
Trigonometric Functions
A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?
🔒 Model answer + marking pointsUnlock with Premium →MathsClass 113 marksmedium
Trigonometric Functions
Prove that cos(A + B) cos(A - B) = cos^2 A - sin^2 B.
🔒 Model answer + marking pointsUnlock with Premium →MathsClass 113 marksmedium
Trigonometric Functions
If cos x = -3/5 and x lies in the second quadrant, find sin x and tan x.
🔒 Model answer + marking pointsUnlock with Premium →MathsClass 113 marksmedium
Trigonometric Functions
Find the general solution of the equation sin x = 1/2.
🔒 Model answer + marking pointsUnlock with Premium →MathsClass 113 marksmedium
Trigonometric Functions
Find the general solution of the equation tan x = sqrt(3).
🔒 Model answer + marking pointsUnlock with Premium →MathsClass 113 marksmedium
Trigonometric Functions
Prove that sin 3x = 3 sin x - 4 sin^3 x.
🔒 Model answer + marking pointsUnlock with Premium →MathsClass 113 marksmedium
Complex Numbers and Quadratic Equations
Find the modulus and argument of the complex number z = 1 + i sqrt(3), and write it in polar form.
🔒 Model answer + marking pointsUnlock with Premium →You are more ready than you feel.
One question at a time is how every topper started. Bookmark this, revise a few each day, and watch the fear shrink. And if a friend is stressing about boards — send this their way. You both win.