EmSAT Achieve · Practice Sheet 28

1. 1.

   Chemistry

   Find the molarity of a solution containing 3 mol of solute in 2 L of solution.

   Formula:Molarity

   $M = \dfrac{n}{V}$

   View formula →
2. 2.

   Mathematics

   Find term number 7 of a geometric progression with first term 6 and common ratio 3.

   Formula:GP nth Term

   $a_n = a\,r^{\,n-1}$

   View formula →
3. 3.

   Biology

   Under a microscope, an object of actual size 5 mm appears 385 mm. Find the magnification.

   Formula:Microscope Magnification

   $M = \dfrac{\text{image size}}{\text{actual size}}$

   View formula →
4. 4.

   Mathematics

   Find the slope of the line through (8, 0) and (1, 5).

   Formula:Slope of a Line

   $m = \dfrac{y_2-y_1}{x_2-x_1}$

   View formula →
5. 5.

   Physics

   An object starts at 4 m/s and accelerates at 1 m/s² for 12 s. Find its final velocity.

   Formula:Equation of Motion (v = u + at)

   $v = u + at$

   View formula →
6. 6.

   Physics

   Find the momentum of a 9 kg body moving at 4 m/s.

   Formula:Linear Momentum

   $p = mv$

   View formula →
7. 7.

   Chemistry

   Find the pressure of 1 mol of an ideal gas at 316 K in a 13 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

   Formula:Ideal Gas Law

   $PV = nRT$

   View formula →
8. 8.

   Chemistry

   How many moles are present in 9 g of water (H₂O) (molar mass = 18 g/mol)?

   Formula:Number of Moles

   $n = \dfrac{m}{M}$

   View formula →
9. 9.

   Mathematics

   Find term number 3 of a geometric progression with first term 6 and common ratio 2.

   Formula:GP nth Term

   $a_n = a\,r^{\,n-1}$

   View formula →
10. 10.

    Mathematics

    Find the sum of the first 3 terms of a GP with first term 5 and common ratio 3.

    Formula:GP Sum of n Terms

    $S_n = a\,\dfrac{r^{n}-1}{r-1}$

    View formula →
11. 11.

    Physics

    Find the momentum of a 3 kg body moving at 32 m/s.

    Formula:Linear Momentum

    $p = mv$

    View formula →
12. 12.

    Physics

    If 4,061 J of work is done in 25 s, find the power.

    Formula:Power

    $P = \dfrac{W}{t}$

    View formula →
13. 13.

    Physics

    Find the momentum of a 21 kg body moving at 21 m/s.

    Formula:Linear Momentum

    $p = mv$

    View formula →
14. 14.

    Chemistry

    Find the pressure of 3 mol of an ideal gas at 281 K in a 2 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

    Formula:Ideal Gas Law

    $PV = nRT$

    View formula →
15. 15.

    Physics

    If 280 J of work is done in 18 s, find the power.

    Formula:Power

    $P = \dfrac{W}{t}$

    View formula →
16. 16.

    Chemistry

    Find the molarity of a solution containing 0.5 mol of solute in 0.5 L of solution.

    Formula:Molarity

    $M = \dfrac{n}{V}$

    View formula →
17. 17.

    Mathematics

    Find the binomial coefficient C(5, 4) — the coefficient of x^4 in (1 + x)^5.

    Formula:Binomial Coefficient

    $\binom{n}{r} = \dfrac{n!}{r!\,(n-r)!}$

    View formula →
18. 18.

    Mathematics

    If f(x) = 4x³ + 1x² + 9x, find f′(2).

    Formula:Derivative of a Polynomial

    $\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$

    View formula →
19. 19.

    Biology

    In a monohybrid cross (Aa × Aa) producing 28 F₂ offspring, how many are expected to show the dominant and the recessive phenotype (3:1 ratio)?

    Formula:Monohybrid Cross (3:1)

    $\text{Dominant}:\text{Recessive} = 3:1$

    View formula →
20. 20.

    Chemistry

    A solution is made by dissolving 38 g of solute in 192 g of solvent. Find the mass percentage of the solute.

    Formula:Mass Percentage

    $\%\,\text{mass} = \dfrac{\text{solute}}{\text{solution}}\times 100$

    View formula →

© FormulaWon — formulawon.app · Answers & step-by-step working available on the solutions sheet.