You wonder why some contestants can quickly answer NSMQ questions even before the quiz mistress finishes reading those questions? Oh, it is not magical or they are superhumans, they just learnt these NSMQ past or trial questions. In principle, most of these questions are past questions or PASSCO!
As you prepare to embrace the upcoming edition of the 2026 NSMQ competition, here are complete trial questions you should try your hands on.
Checjk Also: NSMQ MATHEMATICS QUESTIONS
Answers are provided at the end of the post, so make sure you check them out.
About NSMQ
In simple terms, the National Science and Math Quiz, NSMQ is a yearly Science and Mathematics based national level quiz competition for high schools across Ghana.
High Schools in Ghana compete at the regional level, and those who qualify eventually compete at the one-eighth stage. Also, based on the previous performances of some schools in the past year, that is, those that reached quarter finals in 2025, they are seeded, thus they don’t compete at the regional level but straight to the one-eighth stage of the competition.
Structure Of The NSMQ Competition
The NSMQ competition comes with five rounds, where each round has allocated marks:
NSMQ Round 1
Fundamentals: This includes questions across Biology, Chemistry, Physics, and Mathematics.
All the contesting high schools usually receive 4 Biology, 4 Chemistry, 4 Physics, and 4 Mathematics questions, making 16 questions to answer.
NSMQ Round 2
Speed Race: This consist of quick-response applied questions. The Speed Race questions are thrown to all the contesting schools, and the first school to answer gets full three (3) points.
NSMQ Round 3
Problem of the Day: Each contesting school gets one high stake question worth 10 points. These contestants must solve a single question within 3 minutes.
NSMQ Round 4
True or False: Turn based statements are given to contestants with penalties for wrong answers.
NSMQ Round 5
Riddles: These are clue based, progressively scored riddles. Clues are given to the contesting schools. The schools are to compete against each other to find the answers to these riddles.
NSMQ Questions And Answers 2026
ROUND ONE (FUNDAMENTAL CONCEPTS)
PHYSICS 1
Preamble: Convert the given units into a unit containing SI Base units only.
i J s
ii Nm−1
iii J s−1
iv J m−2
BIOLOGY 1
Preamble: Mention the structures in mammals to which the following descriptions refer.
i Part of the skeleton that forms the intervertebral disc.
ii The bone to which the triceps muscle is attached at the elbow.
iii Bones that join with chest bone at one end and to the backbone at the other end.
iv A break in the bones where the ends of the bones are driven into each other
MATHEMATICS 1
Preamble to all four schools: An arithmetic progression has 3 as its first term. Also, the sum of the first 8 terms is twice the sum of the first 5 terms.
i Find the sum of the first 5 terms in terms of the common difference, 𝑥.
ii Find the sum of the first 8terms in terms of the common difference, 𝑥.
iii Find the sum of the first 10 terms in terms of the common difference, 𝑥.
iii Find the value of 𝑥, the common difference.
CHEMISTRY 1
i In which of these solid elements are the atoms not held by metallic bonds? Manganese; Silicon; Lithium;
ii Which of these elements, is/are non-metals? Boron; Iodine; Sulphur;
iii Which of these elements, is/are not metals? Mercury; Germanium; Calcium;
iv Which of these elements, is/are odd? Astatine; Polonium; Palladium;
PHYSICS 2
Preamble: An object moves along the 𝑥 axis with a constant acceleration of 2.0 m s−2 in the positive direction.
If the object is moving at 5.0 m/s when it passes a certain point on the 𝑥 axis, what is its speed after it has travelled 8.0m from that point?
What is the speed of the object at the origin if its speed at 𝑥 = 24m is10.0m s−1?
The speed of the object is 4.0 m/s at the origin. What is its speed at 𝑥 = -4m?
How far is the object from the origin when its speed is 7.0𝑚𝑠−1 if its speed at the origin is 3.0ms−1?
BIOLOGY 2
Preamble: Mention either the vitamin or mineral element whose deficiency results in the following.
Dental caries;
Pernicious Anaemia;
Microcytic Anaemia;
Scurvy;
MATHEMATICS 2
If 𝑥3 + 𝑥2 − 𝑥 + z is divided by x − 2 and the remainder is 2 , calculate the value of
𝑧.
If 2𝑥3 − 7𝑥2 + 𝑟𝑥 − 26 is divided by x − 2 and the remainder is − 24, calculate the
value of 𝑟.
If 18𝑥3 + 𝑤𝑥2 − 8𝑥 + 9 is divided by 2x − 1 and the remainder is 6, calculate the
value of 𝑤.
If 𝑥5 − 2𝑥3 − 𝑘𝑥 − 1 is divided by x − 1 and the remainder is , calculate the value of 𝑘.
CHEMISTRY 2
Preamble: Gold is refined by electrolysing gold (I) trioxonitate (v) solution using pure gold as electrodes. If Gold is 197g, calculate the charge in Faraday required in refining
1.182kg of gold.
0.591kg of gold.
0.985kg of gold.
1.379kg of gold.
ROUND TWO (SPEED RACE)
PHYSICS
A 5.0 kg object is released from a height of 10.0m above ground. Taking the local acceleration due to gravity as 9.8ms−2, calculate the kinetic energy of the object when it strikes the ground.
If the linear momentum of a photon in vacuum is ῤ, what is its energy?
A 50 kg object lies on a horizontal surface. Find the pressure the object exerts on the surface if the contact area between the surface and the object is 2.0𝑚2 and the local acceleration due to gravity is 10ms−2.
BIOLOGY
In a population of rats, the statistics show 60 births and 24 deaths per 1000 live births. Calculate the growth rate.
In respiration, the abbreviation ERV stands for…
The blood vessel that sends nutrient-rich blood from the gastrointestinal tract to the liver is called ….
MATHEMATICS
The probability of picking a footballer from a group of 120 sportsmen is 2/3. How many
sportsmen were not footballers?
Solve sin2𝑥 = , where
.
Find the determinant of the matrix .
CHEMISTRY
In titration, if 20.00cm3 of 0.20moldm3 NaOH was neutralised by 26.70cm3 of
5.5gdm3 acid HA, what is the molar mass HA?
An impure tetraoxosulphate VI acid was prepared by dissolving 6.3g of it in 500cm3of solution. If 2.0g of calcium trioxocarbonate IV was neutralized by 200cm3 of the resultant solution. Calculate the percentage purity of the acid.
What is activation energy of a reaction?
ROUND THREE (TRUE/FALSE)
PHYSICS 1
Preamble: State whether the following statements are true or false.
Objects with equal mass have equal heat capacity.
Different quantities of a pure substance have same heat capacities.
It two objects are at the same temperature, the same quantity of heat is needed for the
same temperature increase of each.
If two objects have the different heat capacity, then they contain different quantity of heat.
BIOLOGY 1
UAA is not a stop codon.
UAG is a stop codon.
UGA is not a stop codon.
The start codon always codes for methionine in eukaryotes.
MATHEMATICS 1
𝑏2 + 4𝑎𝑐 is called the discriminant of 𝑎𝑥2 + 𝑏𝑥 + 𝑐.
If 𝑏2 − 4𝑎𝑐 ≥ 0 then the quadratic equation has at least two solution.
If 0 > 4𝑎𝑐 − 𝑏2 then the quadratic equation has two distinct real root.
If 𝑦 = 𝑎𝑥2 + 𝑏𝑥 + 𝑐, where 𝑎 ≠ 0 then 𝑥 = b/a occurs at the turning point.
CHEMISTRY 1
An element with atomic number of 14 will have an electron configuration of the valence shell as 4s24p2.
An element with a valence shell of 3s2 has atomic number of 12.
An element with atomic number 20 should have electrons in shells at 4 different energy
Levels.
An element with an electron configuration of the valence shell as 4s24p2 would be
metal.
PHYSICS 2
The frequency of a harmonic wave whose wavelength is 0.2m is 100Hz if the wavelength is 0.6 m at a frequency of 1 kHz.
The wavelength of a harmonic wave is 0.2m if its frequency is 5 Hz and the wave speed
is 1𝑚s −1.
The frequency of a harmonic wave is 50Hz if its wavelength is 0.5m and the wave speed
is 50ms−1.
The frequency of a harmonic wave whose wavelength is 0.2m is 200Hz if the wavelength is 0.8m at a frequency of 500Hz.
BIOLOGY 2
The leaf of Acacia is digitate.
Cassava leaf is digitate.
Acacia leaf is bipinnate.
Flamboyant leaf is pinnate.
MATHEMATICS 2
A statistic is a numerical measurement describing some characteristic of a population.
A parameter is a numerical measurement describing some characteristic of a sample.
A census is the collection of data from every member in a sample.
Continuous data refers to data resulting from finitely possible values that correspond to some discontinuous scale that covers a range of values without gaps.
CHEMISTRY 2
The benzene molecule exhibits resonance.
Benzene is as reactive as six-carbon alkenes.
The benzene molecule is perfectly flat.
Benzene does not undergo the addition reactions that are characteristic of Alkanes.
ROUND FOUR (RIDDLES)
PHYSICS
My origin traces to Ancient Egypt in the 12th Dynasty in Mesopotamia.
I was identified by hero of Alexandria
However, credit is given to a Greek astronomer, engineer and physicist for being the first to document me.
I am a simple machine.
I combine a fixed pulley with a movable pulley.
Who am I?
BIOLOGY
I was born on April 8, 1911.
I was an American biochemist.
I spent most of my career at the University of California, Berkeley.
I was awarded the 1961 Nobel Prize in Chemistry.
If I discovered the cyclical reaction in photosynthesis, then.
Who am I?
MATHEMATICS
I was born around 360 CE in Alexandria, Egypt.
To be precise, I am a great female Mathematics Philosopher.
My area of specialisation in Mathematics includes a pioneering work in conic sections.
My life ended 415 CE as I was killed by fanatical Christian zealots during a period of Political and Religious tension in Alexandria.
The first four alphabets of my name means ‘‘mega’, ‘super’ or ‘over’’ Who am I?
CHEMISTRY
I help to kick out peer pressure, because I hate it.
But I am not in the Police service or the Military.
I am only a scientific law helping gases to maintain order among them.
I ensure that unless there is a chemical reaction, each gas retains its belongings or physical property as much as possible when they assemble.
I am particular about individual pressures.
I am named after the famous scientist who discovered me and also researched into the composition of matter. Who am I?.
All NSMQ Answers
ROUND ONE – 1 (FUNDAMENTALS)
PHYSICS 1
Preamble: Answers
i Ans: 𝐤𝐠𝐦𝟐𝐬−𝟏
ii Ans: 𝐤𝐠 𝐬−𝟐
iii Ans: 𝐤𝐠𝐦𝟐𝐬−𝟑
iv Ans: 𝐤𝐠 𝐬−𝟐
BIOLOGY 1
Preamble: Answers
i Ans: Cartilage
ii Ans: Ulna
iii Ans: Ribs
iv Ans: Impacted Fracture or Buckle Fracture
MATHEMATICS 1
Preamble to all four schools: Answers
i Ans: 15 + 10𝒙
ii Ans: 24 + 28𝒙
iii Ans: 30 + 45𝒙
iii Ans: 6/8 or 3/4
CHEMISTRY 1 Answers
i. Ans: Silicon (Metalloid/Semi-metal)
ii Ans: Iodine and Sulphur
iii Ans: Germanium
iv Ans: Palladium (because is not semi-metal)
PHYSICS 2
Preamble: Answers
Ans: 𝟕. 𝟔𝐦𝐬
Ans: 𝟐. 𝟎𝐦𝐬
Ans: 0.0m𝒔−𝟏
Ans: 𝟏𝟎 𝒎 [S = 𝒗𝟐−𝒖𝟐] 𝟐𝒂
BIOLOGY 2
Preamble: Answers
Ans: Fluorine
Ans: Vitamin B12
Ans: Iron
Ans: Vitamin C
MATHEMATICS 2 Answers
Ans: -15/2
Ans: 𝟕
Ans: −𝟓
Ans: -5/2
CHEMISTRY 2 Answers
Ans: 6F
Ans: 3F
Ans: 5F
Ans: 7F
ROUND TWO (SPEED RACE)
PHYSICS Answers
Ans: 490 J
Ans: 𝒑𝒄, c the speed of light in vacuum
Ans: 250 Pa
Ans: 250 Pa
BIOLOGY Answers
Ans: 0.036 or 3.6%
Ans: Expiratory Reserve Volume
Ans: Hepatic portal vein
MATHEMATICS Answers
Ans: 40
Ans: 𝟒𝟓𝒐 𝐚𝐧𝐝 𝟏𝟑𝟓𝒐
Ans: 22
CHEMISTRY Answers
Ans: 36.7 (±𝟎. 𝟐)
Ans: 77.78%
Ans: It is the minimum amount of energy that reactants require to equal (or go over) the intermediate complex (transition) state so that the reaction can occur.
ROUND THREE (TRUE/FALSE)
PHYSICS 1 Answers
Ans: False
Ans: False
Ans: False
Ans: True
BIOLOGY 1 Answers
Ans: False
Ans: True
Ans: False
Ans: True
MATHEMATICS 1 Answers
Ans: False
Ans: False
Ans: True
Ans: False
CHEMISTRY 1 Answers
Ans: False [should be 𝟑𝐬𝟐𝟑𝐩𝟐]
Ans: True
Ans: True
Ans: True
PHYSICS 2 Answers
Ans: False
Ans: True
Ans: False
Ans: False
BIOLOGY 2 Answers
Ans: False
Ans: True
Ans: False
Ans: False
MATHEMATICS 2 Answers
Ans: False
Ans: False
Ans: False
Ans: False
CHEMISTRY 2 Answers
Ans: True
Ans: False
Ans: True
Ans: True
ROUND FOUR (RIDDLES)
PHYSICS
Ans: Compound pulley
BIOLOGY
Ans: Melvin Ellis Calvin
MATHEMATICS
Ans: Hypatia of Alexandria
CHEMISTRY
Ans: Dalton’s Law of Partial Pressure.

