Math Mock Test 2021

The AGA KHAN University Mock Test -1 2021

Section I (Mathematics)

• One angle of a triangle is 82°, and the other two angles have a ratio of 2:5.
• f(x) = 3x - 5, then f(z² - 1) simplifies to 3z² - 8.
• The area of a rectangle is stated as 420 inches, and the diagonal is 29 inches.
• If 2^m = 4x and 2^w = 8x, then m in terms of w is 2w - 1.
• Determining the sufficiency of statements regarding set membership involves checking if 'a' is an element of C, given conditions A ⊆ B and B ⊆ C.
• Given six consecutive integers with the sum of the first three being 27.
• The equation of a line parallel to the x-axis is y = c.
• Given 3 ≤ x ≤ 5 and -4 ≤ y ≤ -1, then calculating the greatest possible value of x/y.
• A matrix with dimensions 1 × n is referred to as a row matrix.
• To find the sum of a series, two statements must be sufficient: Tₙ = 7n - 5 and a = 2; d = -5; n = 16.
• Lines AB || CD, then determining the value of angle e in the intersecting lines diagram.
• A boy saves a fixed amount weekly, which is 22 after 3 weeks, 25 after 4 weeks and 28 after 5 weeks, then the amount p after 8 weeks is 37.
• Two intersecting lines at point P need to compare the x and y coordinates: 4x - 3y = 6 and 4x - y = 10.
• To find the distance between the centers of the circles, the equation of one circle is x² + y² = 9, circles touch each other and the radius of the 2nd circle is 5 units given the centre of the 2nd circle is (4, 5)
• A circle's area is 49π. Its circumference is 14π.
• If n and p are two even numbers, then the expression that does not result in an even number is (n × p) + 1.
• A team played 10 matches and scored goals; to find the mean of goals you must add all the goals together and divide by 10.
• In triangle ABC, with AB = BC = AC, a comparison between angles x and y is needed.
• log 1000 = 3.
• Area of ARST = bc/2.

Section II (Biology)

• The process of aerobic respiration requires a food source, oxygen, and enzymes.
• The product of digestion of fish includes glucose, amino acids, fatty acids and glycerols, minerals and vitamins
• A DNA molecule consists of a strand of base, adenine, guanine, thymine, and cytosine
• In the Krebs cycle, the molecule containing 5C atoms is molecule A.
• Marine mammal adaptation does not include fat having low energy contents compared to other energy-storing compounds.
• In skeletal muscle contraction, the incorrect statement is that the "H-zone" appears.
• With 9000 nucleotides transcribed and translated, 3000 amino acids are needed for this process.
• Corymb is the type of inflorescence present in the given diagram.
• The immune system is influenced by the thymus gland.
• Acromegaly is a disorder of the pituitary gland.
• An extra sex chromosome present, Klinefelter syndrome results.
• Less than 25cm of rain occurs in the desert area.
• To label the diagram correctly: artery is 2, vein is 1, renal artery is 4, renal vein is 3, ureter is 5, oxygenated blood flows in Y, deoxygenated occurs in X.
• Sunken stomata are present in Xerophytes.
• Parthenocarpy is development of fruit without seed is known as.
• Acropetal succession is found in racemose inflorescences.
• Norepinephrine helps maintain blood pressure below 120mmHg.
• New roots arise from the pericycle.
• The main function of Cowper's gland is to help facilitate ejaculation and neutralize the urethra.
• Dinosaurs are considered ancestors of birds.

Section III (Chemistry)

• An alkene is a compound that changes the color of bromine water.
• In H₂SO₄, sulfur has the highest oxidation state.
• A complex compound with coordination number 4 has tetrahedral and square planar shapes.
• When amine reacts with acyl chloride, the product is amide.
• Carbon dioxide has the highest bond angle.
• With atomic numbers 9 for X and 20 for Y, the bond formed between X and Y is ionic.
• EDTA is Polydentate.
• Benzene is a polymer of acetylene
• Glycerol is not a carbohydrate.
• N₂ has one sigma and two pi bonds
• Li and B belong to the same period.
• Inverse is the relation between viscosity and temperature?
• Oxidation of methanol forms methanal.
• Resistance to flow of liquid is called viscosity.
• In nitrobenzene, the next incoming group is directed towards meta.
• F block elements are known as.
• Ethane has the lowest boiling point.
• Acetylene has acidic character.
• The electronic configuration for the hydride ion is 1s².
• The collision between molecules is perfectly elastic.

Section IV (Physics)

• Newton's laws are not applicable in the non-inertial frame.
• Radian is not a unit of length.
• When the observer moves away from the source, the frequency decreases then the original frequency:
• The refractive index of air is 1.
• Conversion of alternating current into direct current is called rectification.
• With light of 500nm wavelength incident on glass with a refractive index of 1.5, the wavelength of the light in that medium is 333nm.
• The formula that will give the speed of sound is V/Vo = √T/To
• The form of water with the highest entropy is vapor.
• A 32gm radioactive sample with a half-life of 4 days will have 1gm left after 20 days.
• Moving two plates further apart will change voltage and capacitance.
• The acceleration of a body performing SHM is directed towards the mean position.
• When a light ray travels from a rare to denser medium, frequency remains unchanged.
• A string of 5cm vibrating with 4 segments at 120Hz has the same 4th harmonic frequency.
• A radioactive sample is left with 1/4 of its total mass, then 2 half-lives have passed.
• An object thrown vertically upward, with the speed doubling, then at a height of 200m will be 800m.
• The value of the gas constant in dm³.atm/mol.K is 0.082.
• The product of R and C is Time.
• Tolerance of the gold band is 5%.
• Newton derived the formula for the speed of sound based on the isothermal process.
• In Young's double-slit experiment, the central spot will always be bright.

Section V (Science Reasoning)

• A cleaning solution is used to remove limescale, CaCO₃, and which statements are correct out of: the cleaning solution is acidic; the effervescence is caused by the release of hydrogen gas; the pH of the reacting solution will go down; the salt produced is more soluble.
• Diagram shows forces acting on a cyclist accelerating at 4.0 ms⁻² with constant resistive and 300 N frictional forces, and you'll need to find the value of the air resistance.
• Given that non-zero numbers p and q are such that p + q = 3(p - q). To find the value of (p*q)/(p+q).
• Using the details of six hire cars, to determine which suits specific requirements
• A medical consultant devises 90% accurate test to diagnose disease in children and determine probability of the child having disease given a positive test result
• Three labels represent cellular processes within a diagram.
• The chemist used electrolysis to electroplate pure copper with silver - matching anode with the electrolyte.
• How to measure the density of the material?
• Using a lizard was placed in a chamber to determine the relationship between environmental temperature.
• Which statements are/is correct about Group 1?
• You need to determine the properties of metal spheres.
• Which are included in the carbon cycle?
• You need to use decomposition to determine: volume and concentration of the material.
• You need to determine the concentration of Fe2+ ions.

Section V (Science Reasoning) Continued

• Given the genetics of a pea plant, you must determine which statements are followed.
• Given how cosmologists deduced Universe expansion using elements.
• Calculating probabilities given trains and buses.
• Which statements are correct for a human body?

The Mathematics section of the AGA KHAN University Mock Test -1 2021 covers topics such as geometry, algebra, and series. It includes problems on triangles, functions, areas, exponents, sets, consecutive integers, lines, inequalities, matrices and arithmetic progression. Successful completion requires a strong foundation in math principles.