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EmSAT Achieve · Practice Sheet 41

Sheet code: EMSAT-S41 · 20 questions

Name: ______________

Date: ______________

1.
Chemistry
How many moles are present in 110 g of carbon dioxide (CO₂) (molar mass = 44 g/mol)?
Formula:Number of Moles
$n = \dfrac{m}{M}$
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2.
Physics
Find the force required to accelerate a 32 kg mass at 1 m/s².
Formula:Newton's Second Law (F = ma)
$F = ma$
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3.
Physics
Find the density of an object with mass 355 g and volume 3 cm³.
Formula:Density
$\rho = \dfrac{m}{V}$
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4.
Chemistry
A solution is made by dissolving 49 g of solute in 117 g of solvent. Find the mass percentage of the solute.
Formula:Mass Percentage
$\%\,\text{mass} = \dfrac{\text{solute}}{\text{solution}}\times 100$
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5.
Physics
Find the force required to accelerate a 41 kg mass at 5 m/s².
Formula:Newton's Second Law (F = ma)
$F = ma$
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6.
Biology
In a monohybrid cross (Aa × Aa) producing 24 F₂ offspring, how many are expected to show the dominant and the recessive phenotype (3:1 ratio)?
Formula:Monohybrid Cross (3:1)
$\text{Dominant}:\text{Recessive} = 3:1$
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7.
Biology
In a population at Hardy–Weinberg equilibrium, the recessive allele frequency q = 0.5. Find the dominant allele frequency p and the percentage of heterozygous carriers.
Formula:Hardy–Weinberg Equilibrium
$p + q = 1,\;\; 2pq = \text{carriers}$
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8.
Chemistry
26 mL of a 1 M solution is diluted to 96 mL. Find the new concentration.
Formula:Dilution
$M_1V_1 = M_2V_2$
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9.
Mathematics
Find term number 3 of a geometric progression with first term 4 and common ratio 3.
Formula:GP nth Term
$a_n = a\,r^{\,n-1}$
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10.
Physics
A body moving at 2 m/s accelerates at 4 m/s² for 4 s. Find the distance travelled.
Formula:Equation of Motion (s = ut + ½at²)
$s = ut + \tfrac{1}{2}at^{2}$
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11.
Mathematics
Find term number 6 of a geometric progression with first term 5 and common ratio 3.
Formula:GP nth Term
$a_n = a\,r^{\,n-1}$
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12.
Chemistry
A solution is made by dissolving 5 g of solute in 55 g of solvent. Find the mass percentage of the solute.
Formula:Mass Percentage
$\%\,\text{mass} = \dfrac{\text{solute}}{\text{solution}}\times 100$
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13.
Mathematics
Find the binomial coefficient C(8, 4) — the coefficient of x^4 in (1 + x)^8.
Formula:Binomial Coefficient
$\binom{n}{r} = \dfrac{n!}{r!\,(n-r)!}$
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14.
Physics
A projectile is launched at 19 m/s at 60° to the horizontal. Find its range (g = 9.8 m/s²).
Formula:Projectile Range
$R = \dfrac{u^{2}\sin 2\theta}{g}$
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15.
Physics
An object starts at 11 m/s and accelerates at 7 m/s² for 2 s. Find its final velocity.
Formula:Equation of Motion (v = u + at)
$v = u + at$
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16.
Chemistry
62 mL of a 5 M solution is diluted to 261 mL. Find the new concentration.
Formula:Dilution
$M_1V_1 = M_2V_2$
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17.
Physics
Find the voltage across a 32 Ω resistor carrying a current of 9 A.
Formula:Ohm's Law
$V = IR$
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18.
Mathematics
For the quadratic 1x² + 8x − 1 = 0, find the sum and product of its roots.
Formula:Vieta's Formulas (roots)
$\alpha+\beta=-\dfrac{b}{a},\;\alpha\beta=\dfrac{c}{a}$
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19.
Chemistry
Find the pressure of 2 mol of an ideal gas at 396 K in a 5 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).
Formula:Ideal Gas Law
$PV = nRT$
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20.
Physics
A constant force of 26 N moves an object 10 m in the direction of the force. Calculate the work done.
Formula:Work Done
$W = F\,d$
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