EmSAT Achieve · Practice Sheet 3

1. 1.

   Mathematics

   In an arithmetic progression with first term 8 and common difference 8, find term number 21.

   Formula:AP nth Term

   $a_n = a + (n-1)d$

   View formula →
2. 2.

   Chemistry

   How many moles are present in 27 g of water (H₂O) (molar mass = 18 g/mol)?

   Formula:Number of Moles

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

   View formula →
3. 3.

   Physics

   If 3,275 J of work is done in 28 s, find the power.

   Formula:Power

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

   View formula →
4. 4.

   Physics

   A projectile is launched at 44 m/s at 45° to the horizontal. Find its range (g = 9.8 m/s²).

   Formula:Projectile Range

   $R = \dfrac{u^{2}\sin 2\theta}{g}$

   View formula →
5. 5.

   Mathematics

   Find the sum of the first 9 terms of an AP with first term 4 and common difference 9.

   Formula:AP Sum of n Terms

   $S_n = \dfrac{n}{2}\,[2a+(n-1)d]$

   View formula →
6. 6.

   Physics

   A projectile is launched at 50 m/s at 30° to the horizontal. Find its range (g = 9.8 m/s²).

   Formula:Projectile Range

   $R = \dfrac{u^{2}\sin 2\theta}{g}$

   View formula →
7. 7.

   Physics

   Find the kinetic energy of a 20 kg object moving at 16 m/s.

   Formula:Kinetic Energy

   $KE = \tfrac{1}{2}mv^{2}$

   View formula →
8. 8.

   Mathematics

   Evaluate log base 2 of 32.

   Formula:Logarithm Evaluation

   $\log_{b}(b^{k}) = k$

   View formula →
9. 9.

   Chemistry

   Find the pressure of 2 mol of an ideal gas at 281 K in a 17 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

   Formula:Ideal Gas Law

   $PV = nRT$

   View formula →
10. 10.

    Chemistry

    Find the molarity of a solution containing 3 mol of solute in 1 L of solution.

    Formula:Molarity

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

    View formula →
11. 11.

    Biology

    In a population at Hardy–Weinberg equilibrium, the recessive allele frequency q = 0.1. Find the dominant allele frequency p and the percentage of heterozygous carriers.

    Formula:Hardy–Weinberg Equilibrium

    $p + q = 1,\;\; 2pq = \text{carriers}$

    View formula →
12. 12.

    Physics

    Find the kinetic energy of a 2 kg object moving at 17 m/s.

    Formula:Kinetic Energy

    $KE = \tfrac{1}{2}mv^{2}$

    View formula →
13. 13.

    Mathematics

    Find the sum of the first 3 terms of a GP with first term 4 and common ratio 3.

    Formula:GP Sum of n Terms

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

    View formula →
14. 14.

    Physics

    Find the force required to accelerate a 23 kg mass at 19 m/s².

    Formula:Newton's Second Law (F = ma)

    $F = ma$

    View formula →
15. 15.

    Biology

    Under a microscope, an object of actual size 1.1 mm appears 104.5 mm. Find the magnification.

    Formula:Microscope Magnification

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

    View formula →
16. 16.

    Physics

    A body moving at 7 m/s accelerates at 1 m/s² for 2 s. Find the distance travelled.

    Formula:Equation of Motion (s = ut + ½at²)

    $s = ut + \tfrac{1}{2}at^{2}$

    View formula →
17. 17.

    Mathematics

    Find the slope of the line through (-4, 6) and (-1, 2).

    Formula:Slope of a Line

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

    View formula →
18. 18.

    Mathematics

    Find the distance between the points (2, 6) and (-4, -4).

    Formula:Distance Between Two Points

    $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$

    View formula →
19. 19.

    Physics

    Find the momentum of a 44 kg body moving at 5 m/s.

    Formula:Linear Momentum

    $p = mv$

    View formula →
20. 20.

    Physics

    Find the density of an object with mass 123 g and volume 23 cm³.

    Formula:Density

    $\rho = \dfrac{m}{V}$

    View formula →

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