Higher Tier - Year 11

Year 11 Paper 6: Extended Practice

Covers organisation, quantitative chemistry, chemical changes, energy, electricity, particle model and forces.

11 questions - 60 marks - calculator allowed

Year 11 here means a typical teaching order, not a syllabus rule. No exam board defines what belongs to Year 11, and schools sequence the course differently. Check it against your own scheme of work before using it to decide what a class has covered.

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Questions

Question 1 [4 marks]

Quantitative Chemistry

Ammonium nitrate, NH4NO3, is used as a fertiliser.

Calculate the percentage by mass of nitrogen in ammonium nitrate. Relative atomic masses: H = 1, N = 14, O = 16.

Question 2 [4 marks]

Particle Model of Matter

A metal cube has sides of length 4 cm and a mass of 288 g.

Calculate the density of the metal, in g/cm^3.

Question 3 [5 marks]

Energy

A box is pushed 8.0 m across a floor by a constant horizontal force of 45 N.

Calculate the work done by the force pushing the box. Use work done = force x distance.

Given that 250 J of this work is usefully transferred to the kinetic energy store of the box, calculate the energy wasted to the thermal energy store due to friction.

Question 4 [5 marks]

Chemical Changes

50 cm^3 of copper sulfate solution, concentration 0.20 mol/dm^3, is reacted with excess zinc powder: Zn + CuSO4 -> ZnSO4 + Cu.

Calculate the maximum mass of copper that could be displaced. Relative atomic mass of Cu = 64.

Question 5 [6 marks]

Forces

A skydiver of mass 80 kg is falling and experiences air resistance of 600 N acting upwards.

The gravitational field strength is 9.8 N/kg.

Calculate the resultant force on the skydiver, and calculate their acceleration at this moment. Use weight = mass x gravitational field strength and F = m a.

Question 6 [6 marks]

Energy

A homeowner wants to reduce the rate of unwanted energy transfer by heating from their house in winter.

Explain how cavity wall insulation reduces the rate of energy transfer through the walls of a house, and explain why increasing the thickness of insulation gives a smaller and smaller additional benefit as more is added.

Question 7 [6 marks]

Electricity

In a circuit, a 4 ohm resistor is connected in series with a parallel combination of a 6 ohm resistor and a 3 ohm resistor. The circuit is connected to a 9 V supply.

Calculate the combined resistance of the parallel section, calculate the total resistance of the circuit, and calculate the total current supplied by the battery.

Question 8 [6 marks]

Energy

An electric heater with a power of 1.5 kW is used to heat 2.0 kg of water. The specific heat capacity of water is 4200 J/kg degrees C.

Calculate the energy transferred by the heater in 4 minutes, and calculate the resulting temperature rise of the water, assuming all the energy is usefully transferred to the water. Use energy = power x time and change in thermal energy = m c (change in temperature).

Question 9 [6 marks]

Organisation

The heart has four chambers: the left atrium, right atrium, left ventricle and right ventricle.

Explain why the wall of the left ventricle is thicker and more muscular than the wall of the right ventricle.

Question 10 [6 marks]

Energy

An electric motor is used to lift a load of mass 40 kg through a height of 6.0 m. The motor is 60% efficient. Use g = 9.8 N/kg.

Calculate the useful energy transferred to the gravitational potential energy store of the load, and calculate the total input energy supplied to the motor to achieve this lift.

Question 11 [6 marks]

Organisation

Cardiac output is the volume of blood pumped by the heart in one minute.

A patient has a cardiac output of 4.8 dm^3 per minute and a heart rate of 80 beats per minute.

Calculate the patient's stroke volume, in cm^3. Use cardiac output = heart rate x stroke volume.

Model solutions

Mark scheme for Question 1 [4 marks]
Question 1[4 marks]
Answer or workingMarks
finding the relative formula mass of NH4NO3 = 80M1
finding the total mass of nitrogen in the formula, 28M1
(28 / 80) x 100M1
35%A1
Mark scheme for Question 2 [4 marks]
Question 2[4 marks]
Answer or workingMarks
volume = 4^3M1
64 cm^3A1
density = mass / volume, 288 / 64M1
4.5 g/cm^3A1
Mark scheme for Question 3 [5 marks]
Question 3[5 marks]
Answer or workingMarks
using work done = force x distanceM1
substituting 45 x 8M1
360 JA1
wasted energy = total work done - useful energy, 360 - 250M1
110 JA1
Final answer: 360 J of work done; 110 J wasted to the thermal energy store due to friction
Mark scheme for Question 4 [5 marks]
Question 4[5 marks]
Answer or workingMarks
moles of CuSO4 = 0.20 x (50 / 1000)M1
0.01 molA1
using the 1:1 mole ratio between CuSO4 and Cu from the equationM1
mass = moles x relative atomic mass, 0.01 x 64M1
0.64 gA1
Mark scheme for Question 5 [6 marks]
Question 5[6 marks]
Answer or workingMarks
weight = mass x gravitational field strength, substituting 80 x 9.8M1
a weight of 784 NA1
resultant force = weight - air resistance, substituting 784 - 600M1
a resultant force of 184 N, acting downwardsA1
rearranging F = m a to a = F / m, substituting 184 / 80M1
an acceleration of 2.3 m/s^2 (2 sf)A1
Final answer: Resultant force 184 N downwards; acceleration 2.3 m/s^2
Mark scheme for Question 6 [6 marks]
Question 6[6 marks]
Answer or workingMarks
cavity wall insulation containing trapped pockets of air (or foam) within the materialB1
trapped air being a poor conductor of heat, reducing energy transfer by conduction through the wallB1
trapped pockets of air also reducing energy transfer by convection, by preventing convection currents forming within the cavityB1
stating the rate of energy transfer through a wall depends on the thickness of the insulating layerB1
stating doubling the thickness of insulation approximately halves the rate of energy transfer (up to a point)B1
stating each additional layer of insulation therefore saves progressively less energy than the layer before it, giving diminishing returnsB1
Final answer: Cavity wall insulation traps air, which is a poor conductor and prevents convection, reducing heat loss; but each extra layer reduces the rate of loss by a smaller amount than the last, giving diminishing returns
Mark scheme for Question 7 [6 marks]
Question 7[6 marks]
Answer or workingMarks
using 1 / Rparallel = 1/6 + 1/3M1
a parallel resistance of 2 ohmsA1
total resistance = 4 + 2M1
6 ohmsA1
using current = V / RM1
substituting 9 / 6 to give 1.5 AA1
Final answer: Parallel resistance 2 ohms; total resistance 6 ohms; current 1.5 A
Mark scheme for Question 8 [6 marks]
Question 8[6 marks]
Answer or workingMarks
converting 4 minutes to seconds, 4 x 60M1
energy = power x time, 1500 x 240M1
360000 JA1
rearranging E = m c (change in temperature) to change in temperature = E / (m c)M1
substituting 360000 / (2.0 x 4200)M1
a temperature rise of 42.9 degrees C (3 sf)A1
Final answer: 360000 J transferred; a temperature rise of about 42.9 degrees C
Mark scheme for Question 9 [6 marks]
Question 9[6 marks]
Answer or workingMarks
the left ventricle pumping blood around the whole body (the systemic circulation)B1
the right ventricle only pumping blood to the lungs (the pulmonary circulation), a much shorter distanceB1
blood needing to be pumped at a higher pressure to reach the whole body than to reach only the lungsB1
the left ventricle therefore needing to contract with more force than the right ventricleB1
a thicker, more muscular wall allowing the left ventricle to contract with greater forceB1
this generating the higher pressure needed to pump blood all the way around the bodyB1
Final answer: The left ventricle pumps blood around the whole body, much further than the right ventricle pumps to the lungs, so it needs a thicker wall to generate higher pressure
Mark scheme for Question 10 [6 marks]
Question 10[6 marks]
Answer or workingMarks
using GPE = m g hM1
substituting 40 x 9.8 x 6.0M1
2352 JA1
rearranging efficiency = useful output energy / total input energy to input energy = useful output energy / efficiencyM1
substituting 2352 / 0.60M1
3920 JA1
Final answer: 2352 J of useful GPE gained; 3920 J of total input energy needed
Mark scheme for Question 11 [6 marks]
Question 11[6 marks]
Answer or workingMarks
converting cardiac output to cm^3, 4.8 x 1000M1
4800 cm^3 per minuteA1
rearranging to stroke volume = cardiac output / heart rateM1
substituting 4800 / 80M1
60 cm^3A1
stating the unit as cm^3 (per beat)B1
Final answer: 60 cm^3 stroke volume