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questions across 5 modules.

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Math 1Standard
Find all stationary points of f(x)=x3−3x+2f(x) = x^3 - 3x + 2f(x)=x3−3x+2 and classify each one.
ChemistryStandard

Calculate the pH of a 0.01 mol dm⁻³ HCl solution at 25°C.

PhysicsChallenging
Two resistors of 4 Ω4\,\Omega4Ω and 6 Ω6\,\Omega6Ω are connected in parallel. Find the equivalent resistance.
BiologyStandard

A gene has sequence ATG-CGT-TTA. Write the corresponding mRNA sequence.

Math 1Challenging
Differentiate y=x2e−xy = x^2 e^{-x}y=x2e−x and find the coordinates of any turning points.
ChemistryStandard

State the oxidation number of sulfur in sulfuric acid (H₂SO₄).

PhysicsStandard
An object of mass 0.5 kg0.5\,kg0.5kg moves at 4 m/s4\,m/s4m/s. Find its kinetic energy.
BiologyStandard

Explain the role of ribosomes in protein synthesis.

Math 1Standard
Solve 2x+1=5x2^{x+1} = 5^x2x+1=5x, giving your answer in exact form.
Math 2Standard
Express 1(x−1)(x+2)\frac{1}{(x-1)(x+2)}(x−1)(x+2)1​ in partial fractions.
Math 1Standard
Find all stationary points of f(x)=x3−3x+2f(x) = x^3 - 3x + 2f(x)=x3−3x+2 and classify each one.
ChemistryStandard

Calculate the pH of a 0.01 mol dm⁻³ HCl solution at 25°C.

PhysicsChallenging
Two resistors of 4 Ω4\,\Omega4Ω and 6 Ω6\,\Omega6Ω are connected in parallel. Find the equivalent resistance.
BiologyStandard

A gene has sequence ATG-CGT-TTA. Write the corresponding mRNA sequence.

Math 1Challenging
Differentiate y=x2e−xy = x^2 e^{-x}y=x2e−x and find the coordinates of any turning points.
ChemistryStandard

State the oxidation number of sulfur in sulfuric acid (H₂SO₄).

PhysicsStandard
An object of mass 0.5 kg0.5\,kg0.5kg moves at 4 m/s4\,m/s4m/s. Find its kinetic energy.
BiologyStandard

Explain the role of ribosomes in protein synthesis.

Math 1Standard
Solve 2x+1=5x2^{x+1} = 5^x2x+1=5x, giving your answer in exact form.
Math 2Standard
Express 1(x−1)(x+2)\frac{1}{(x-1)(x+2)}(x−1)(x+2)1​ in partial fractions.
Math 1Standard
Find all stationary points of f(x)=x3−3x+2f(x) = x^3 - 3x + 2f(x)=x3−3x+2 and classify each one.
ChemistryStandard

Calculate the pH of a 0.01 mol dm⁻³ HCl solution at 25°C.

PhysicsChallenging
Two resistors of 4 Ω4\,\Omega4Ω and 6 Ω6\,\Omega6Ω are connected in parallel. Find the equivalent resistance.
BiologyStandard

A gene has sequence ATG-CGT-TTA. Write the corresponding mRNA sequence.

Math 1Challenging
Differentiate y=x2e−xy = x^2 e^{-x}y=x2e−x and find the coordinates of any turning points.
ChemistryStandard

State the oxidation number of sulfur in sulfuric acid (H₂SO₄).

PhysicsStandard
An object of mass 0.5 kg0.5\,kg0.5kg moves at 4 m/s4\,m/s4m/s. Find its kinetic energy.
BiologyStandard

Explain the role of ribosomes in protein synthesis.

Math 1Standard
Solve 2x+1=5x2^{x+1} = 5^x2x+1=5x, giving your answer in exact form.
Math 2Standard
Express 1(x−1)(x+2)\frac{1}{(x-1)(x+2)}(x−1)(x+2)1​ in partial fractions.
PhysicsAccessible
A ball is thrown vertically at 20 m/s20\,m/s20m/s. Calculate the maximum height reached.
BiologyAccessible

Describe the role of ATP synthase in the electron transport chain.

Math 2Standard
A geometric series has first term 555 and common ratio 0.80.80.8. Find the sum to infinity.
Math 1Accessible
Solve for xxx: log⁡2x+log⁡2(x−2)=3\log_2 x + \log_2(x - 2) = 3log2​x+log2​(x−2)=3.
PhysicsAccessible
A 2 kg2\,kg2kg mass accelerates at 3 m/s23\,m/s^23m/s2. Find the resultant force.
BiologyAccessible

Outline the main steps of transcription in a eukaryotic cell.

Math 1Standard
Use the chain rule to differentiate (3x+1)4(3x + 1)^4(3x+1)4.
Math 2Accessible
An arithmetic sequence has a1=7a_1 = 7a1​=7 and d=3d = 3d=3. Find a20a_{20}a20​.
ChemistryStandard

Balance the equation for the complete combustion of propane in oxygen.

PhysicsAccessible
Calculate the power dissipated when I=2 AI = 2\,AI=2A flows through R=5 ΩR = 5\,\OmegaR=5Ω.
PhysicsAccessible
A ball is thrown vertically at 20 m/s20\,m/s20m/s. Calculate the maximum height reached.
BiologyAccessible

Describe the role of ATP synthase in the electron transport chain.

Math 2Standard
A geometric series has first term 555 and common ratio 0.80.80.8. Find the sum to infinity.
Math 1Accessible
Solve for xxx: log⁡2x+log⁡2(x−2)=3\log_2 x + \log_2(x - 2) = 3log2​x+log2​(x−2)=3.
PhysicsAccessible
A 2 kg2\,kg2kg mass accelerates at 3 m/s23\,m/s^23m/s2. Find the resultant force.
BiologyAccessible

Outline the main steps of transcription in a eukaryotic cell.

Math 1Standard
Use the chain rule to differentiate (3x+1)4(3x + 1)^4(3x+1)4.
Math 2Accessible
An arithmetic sequence has a1=7a_1 = 7a1​=7 and d=3d = 3d=3. Find a20a_{20}a20​.
ChemistryStandard

Balance the equation for the complete combustion of propane in oxygen.

PhysicsAccessible
Calculate the power dissipated when I=2 AI = 2\,AI=2A flows through R=5 ΩR = 5\,\OmegaR=5Ω.
PhysicsAccessible
A ball is thrown vertically at 20 m/s20\,m/s20m/s. Calculate the maximum height reached.
BiologyAccessible

Describe the role of ATP synthase in the electron transport chain.

Math 2Standard
A geometric series has first term 555 and common ratio 0.80.80.8. Find the sum to infinity.
Math 1Accessible
Solve for xxx: log⁡2x+log⁡2(x−2)=3\log_2 x + \log_2(x - 2) = 3log2​x+log2​(x−2)=3.
PhysicsAccessible
A 2 kg2\,kg2kg mass accelerates at 3 m/s23\,m/s^23m/s2. Find the resultant force.
BiologyAccessible

Outline the main steps of transcription in a eukaryotic cell.

Math 1Standard
Use the chain rule to differentiate (3x+1)4(3x + 1)^4(3x+1)4.
Math 2Accessible
An arithmetic sequence has a1=7a_1 = 7a1​=7 and d=3d = 3d=3. Find a20a_{20}a20​.
ChemistryStandard

Balance the equation for the complete combustion of propane in oxygen.

PhysicsAccessible
Calculate the power dissipated when I=2 AI = 2\,AI=2A flows through R=5 ΩR = 5\,\OmegaR=5Ω.
Math 2Challenging
Expand (1+2x)5(1 + 2x)^5(1+2x)5 and find the coefficient of x3x^3x3.
Math 1Standard
Evaluate ∫02(x2+1) dx\int_0^2 (x^2 + 1)\,dx∫02​(x2+1)dx, giving your answer as an exact value.
ChemistryChallenging

Using Hess's law, determine ΔH for the combustion of ethanol.

PhysicsStandard
State what happens to the entropy SSS of an ideal gas during isothermal expansion.
Math 2Standard
Find ddx(ln⁡x⋅sin⁡x)\frac{d}{dx}(\ln x \cdot \sin x)dxd​(lnx⋅sinx).
Math 2Challenging
Solve sin⁡2θ+cos⁡θ=1\sin^2\theta + \cos\theta = 1sin2θ+cosθ=1 for 0≤θ<2π0 \le \theta < 2\pi0≤θ<2π.
ChemistryAccessible

Define dynamic equilibrium in a reversible reaction.

PhysicsChallenging
A converging lens has f=0.15 mf = 0.15\,mf=0.15m. An object is placed 0.40 m0.40\,m0.40m away. Find the image distance.
BiologyChallenging

Describe negative feedback in the regulation of a hormone such as insulin.

BiologyAccessible

State the function of the semi-conservative model of DNA replication.

Math 2Challenging
Expand (1+2x)5(1 + 2x)^5(1+2x)5 and find the coefficient of x3x^3x3.
Math 1Standard
Evaluate ∫02(x2+1) dx\int_0^2 (x^2 + 1)\,dx∫02​(x2+1)dx, giving your answer as an exact value.
ChemistryChallenging

Using Hess's law, determine ΔH for the combustion of ethanol.

PhysicsStandard
State what happens to the entropy SSS of an ideal gas during isothermal expansion.
Math 2Standard
Find ddx(ln⁡x⋅sin⁡x)\frac{d}{dx}(\ln x \cdot \sin x)dxd​(lnx⋅sinx).
Math 2Challenging
Solve sin⁡2θ+cos⁡θ=1\sin^2\theta + \cos\theta = 1sin2θ+cosθ=1 for 0≤θ<2π0 \le \theta < 2\pi0≤θ<2π.
ChemistryAccessible

Define dynamic equilibrium in a reversible reaction.

PhysicsChallenging
A converging lens has f=0.15 mf = 0.15\,mf=0.15m. An object is placed 0.40 m0.40\,m0.40m away. Find the image distance.
BiologyChallenging

Describe negative feedback in the regulation of a hormone such as insulin.

BiologyAccessible

State the function of the semi-conservative model of DNA replication.

Math 2Challenging
Expand (1+2x)5(1 + 2x)^5(1+2x)5 and find the coefficient of x3x^3x3.
Math 1Standard
Evaluate ∫02(x2+1) dx\int_0^2 (x^2 + 1)\,dx∫02​(x2+1)dx, giving your answer as an exact value.
ChemistryChallenging

Using Hess's law, determine ΔH for the combustion of ethanol.

PhysicsStandard
State what happens to the entropy SSS of an ideal gas during isothermal expansion.
Math 2Standard
Find ddx(ln⁡x⋅sin⁡x)\frac{d}{dx}(\ln x \cdot \sin x)dxd​(lnx⋅sinx).
Math 2Challenging
Solve sin⁡2θ+cos⁡θ=1\sin^2\theta + \cos\theta = 1sin2θ+cosθ=1 for 0≤θ<2π0 \le \theta < 2\pi0≤θ<2π.
ChemistryAccessible

Define dynamic equilibrium in a reversible reaction.

PhysicsChallenging
A converging lens has f=0.15 mf = 0.15\,mf=0.15m. An object is placed 0.40 m0.40\,m0.40m away. Find the image distance.
BiologyChallenging

Describe negative feedback in the regulation of a hormone such as insulin.

BiologyAccessible

State the function of the semi-conservative model of DNA replication.

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