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NSMQ 2021 past questions with answers

10 questions from the 2021 contests, across the rounds and all four subjects. Try each one before you open the answer. The full set of 654 2021 questions is in the Fomla app and the 2021 book.

Round 1: Fundamentals

Q1 · Physics · Prelims

Find emf when flux changes −1.0 Wb to 5.0 Wb in 0.20 s.

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Answer

−30 V

  1. 1.Calculate the change in magnetic flux: .
  2. 2.Apply Faraday’s law: .
  3. 3.Interpret the negative sign using Lenz’s law: it indicates the direction of the induced emf opposes the increase in flux.

Q2 · Mathematics · Prelims

Find equation of line through A(3,−2) and B(1,0).

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Answer

y = −x + 1

  1. 1.Label the points A(3,−2) as and B(1,0) as .
  2. 2.Compute the slope using .
  3. 3.Use the point-slope form with A to get , then simplify to .

Q3 · Chemistry · One-Eighth

Name the piece of glassware suitable for preparing a bulk solution of accurately known concentration.

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Answer

Volumetric flask.

  1. 1.Recall that preparing a solution of accurately known concentration requires measuring an exact volume of liquid.
  2. 2.Eliminate beakers and Erlenmeyer flasks due to their low accuracy and graduated cylinders due to multiple calibration marks and higher error.
  3. 3.Identify the volumetric flask, which is specifically designed with a single, precise calibration mark for accurate bulk solution preparation.

Round 2: Speed Race

Q4 · Chemistry · One-Eighth

Give the oxidation state of oxygen in ozone (O3).

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Answer

0

  1. 1.Identify that ozone is a pure elemental form of oxygen (allotrope).
  2. 2.Recall the rule that any atom in its elemental (uncombined) state has an oxidation state of 0.
  3. 3.Therefore, each oxygen atom in O3 has an oxidation state of 0.

Q5 · Physics · One-Eighth

A 2 kg object moving at 5 m/s collides head-on with and becomes attached to a stationary 1 kg object. Give the direction in which the combined object moves relative to the incoming object.

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Answer

It moves in the same direction as the incoming object.

  1. 1.Initial momentum toward the incoming object.
  2. 2.After collision the masses stick, total mass and by conservation .
  3. 3.Solve which is positive, i.e. in the same direction as the incoming object.

Q6 · Mathematics · Prelims

Find tan of angle between 3x−y=5 and y=2x+3.

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Answer

  1. 1.Rewrite 3x−y=5 in the form y=mx+c: 3x−y=5 ⇒ −y=5−3x ⇒ y=3x−5, so m₁=3.
  2. 2.Identify slope of y=2x+3 as m₂=2.
  3. 3.Apply the angle formula: tanθ=| (m₁−m₂)/(1+m₁m₂) | = | (3−2)/(1+3·2) | =1/7.

Round 4: True/False

Q7 · Chemistry · Quarter-final

True or false?The hydrides of the non-metallic elements of period 3 except argon are acidic.

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Answer

False

Because PH3 and SiH4 are essentially non-acidic while only H2S and HCl exhibit acidity, the blanket claim that all period-3 hydrides (except argon) are acidic is incorrect.

Q8 · Mathematics · One-Eighth

True or false?A cube is a hexahedron.

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Answer

True

A cube has six faces and thus satisfies the definition of a hexahedron, which is any six-faced polyhedron.

Round 5: Riddles

Q9 · Mathematics · One-Eighth

  1. 1.I am a three-digit number.
  2. 2.I am a palindromic number.
  3. 3.My digits are all powers of two.
  4. 4.My first digit is a square and my second digit is a cube.
  5. 5.None of my digits is 1.
  6. 6.What number am I?
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Answer

484

Q10 · Chemistry · Quarter-final

  1. 1.I am a form of energy and a physical characteristic of all matter.
  2. 2.Whether positive or negative, my value is the same.
  3. 3.I am measured only in the gaseous state.
  4. 4.I am supposed to be an average of a range of values.
  5. 5.My positive value represents the enthalpy change for the homogeneous cleavage of a covalent bond. Who am I?
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Answer

Bond energy

All 654 questions from 2021

Every 2021 contest on paper, with answers and worked solutions, plus practice papers.

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Practise them timed

Speed Races, the True or False round and riddles, marked as you go.