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NSMQ 2024 past questions with answers

10 questions from the 2024 contests, across the rounds and all four subjects. Try each one before you open the answer. The full set of 1,020 2024 questions is in the Fomla app and the 2024 book.

Round 1: Fundamentals

Q1 · Biology · Prelims

GIVE the mode of spread of Influenza

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Answer

Droplet infection

  1. 1.Recall the main routes of disease transmission: direct contact, indirect contact, droplet infection, airborne spread, and vectors.
  2. 2.Recognize that influenza presents with coughing and sneezing, producing respiratory droplets laden with virus.
  3. 3.Eliminate vector-borne and airborne droplet nuclei (<5 µm) as primary routes for influenza.
  4. 4.Conclude that influenza spreads primarily through droplet infection.

Q2 · Chemistry · Prelims

Which ore of iron consists of iron as its carbonate?

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Answer

Siderite

  1. 1.Recall that carbonate minerals contain the CO32– group.
  2. 2.List the chemical formulas of common iron ores.
  3. 3.Identify that only FeCO3 contains the carbonate ion.
  4. 4.Conclude that the ore is siderite.

Q3 · Mathematics · One-Eighth

Find the next prime number after 173.

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Answer

179

  1. 1.List the odd numbers after 173: 175, 177, 179, ...
  2. 2.Eliminate 175 and 177 since 175 = 5 × 35 and 177 = 3 × 59. Check 179 by testing divisibility by primes ≤ √179 (2, 3, 5, 7, 11, 13).
  3. 3.Since 179 is not divisible by any of these primes, it is prime and is the next prime after 173.

Round 2: Speed Race

Q4 · Chemistry · Prelims

What is the mass of oxygen in 2.4 g of S₂O₈?

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Answer

1.6 g

  1. 1.Calculate the mass of oxygen in one mole of S₂O₈ as 8 × 16 = 128 g
  2. 2.Calculate the molar mass of S₂O₈ as (2 × 32) + (8 × 16) = 192 g/mol
  3. 3.Find the mass fraction of oxygen: 128/192 = 2/3
  4. 4.Multiply this fraction by the sample mass: (2/3) × 2.4 g = 1.6 g

Q5 · Biology · Prelims

Name the type of cell divisions that somatic cells and gametic cells undergo.

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Answer

Somatic = mitosis; Gametic = meiosis

  1. 1.Somatic (body) cells divide to replace tissues and produce genetically identical daughter cells; this process is mitosis.
  2. 2.Gametic (sex) cells are produced by a reduction division that halves the chromosome number and generates genetic variation; this process is meiosis.
  3. 3.Mitosis yields diploid daughter cells identical to the parent; meiosis yields haploid, non‑identical gametes.
  4. 4.Therefore: Somatic = mitosis; Gametic = meiosis.

Q6 · Mathematics · Prelims

A fair coin is tossed three times. Find the probability of obtaining an even number of heads.

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Answer

  1. 1.Define the random variable X as the number of heads in n = 3 tosses of a fair coin, so X ~ Binomial(n=3, p=1/2).
  2. 2.Use the binomial formula P(X=k)=C(3,k)(1/2)k(1/2)3−k.
  3. 3.Compute P(X=0)=C(3,0)(1/2)3=1·1/8=1/8 and P(X=2)=C(3,2)(1/2)3=3·1/8=3/8.
  4. 4.Sum the probabilities for even k: P(even heads)=P(0)+P(2)=1/8+3/8=4/8=1/2.

Round 4: True/False

Q7 · Physics · Quarter-final

True or false?In Millikan’s oil drop experiment, with zero electric field, forces on the falling oil drop are gravity, upthrust, and air drag.

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Answer

True

At zero applied electric field the charged oil drop experiences no electrostatic force, leaving only its weight, the buoyant force from displaced air, and viscous drag.

Q8 · Mathematics · One-Eighth

True or false?x3 + y3 = (x + y)(x2 - xy + y2).

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Answer

True

By applying the standard factorization for the sum of cubes, x3 + y3 exactly matches (x + y)(x2 - xy + y2), confirming the identity.

Round 5: Riddles

Q9 · Mathematics · One-Eighth

  1. 1.I am the most important and most used measure of dispersion.
  2. 2.I give a single number that indicates how spread out data are around their mean.
  3. 3.I have the same units as the original data.
  4. 4.I equal the positive square root of the variance.
  5. 5.My common symbols are σ for a population and s for a sample. Who am I?
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Answer

Standard deviation

Q10 · Biology · Prelims

  1. 1.I am a microscopic structure.
  2. 2.Although I am too small to be seen individually, I can be seen by the naked eye in large quantities.
  3. 3.In angiosperms, I am produced by the anther, which sits on the filament in the center of the flower.
  4. 4.I represent the male portion of the reproductive process in angiosperms. Who am I?
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Answer

Pollen grain

All 1,020 questions from 2024

Every 2024 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.