EmSAT Achieve · Practice Sheet 12

1. 1.

   Physics

   A constant force of 43 N moves an object 18 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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2. 2.

   Physics

   Find the voltage across a 11 Ω resistor carrying a current of 8 A.

   Formula:Ohm's Law

   $V = IR$

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3. 3.

   Physics

   A body moving at 6 m/s accelerates at 8 m/s² for 2 s. Find the distance travelled.

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

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

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4. 4.

   Chemistry

   A solution is made by dissolving 21 g of solute in 67 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. 5.

   Chemistry

   How many moles are present in 270 g of glucose (C₆H₁₂O₆) (molar mass = 180 g/mol)?

   Formula:Number of Moles

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

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6. 6.

   Mathematics

   For the quadratic 1x² − 9x − 7 = 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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7. 7.

   Mathematics

   Find the slope of the line through (-3, -3) and (7, -7).

   Formula:Slope of a Line

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

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8. 8.

   Mathematics

   Evaluate log base 2 of 8.

   Formula:Logarithm Evaluation

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

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9. 9.

   Physics

   Find the voltage across a 37 Ω resistor carrying a current of 12 A.

   Formula:Ohm's Law

   $V = IR$

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10. 10.

    Biology

    Under a microscope, an object of actual size 2.7 mm appears 108 mm. Find the magnification.

    Formula:Microscope Magnification

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

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11. 11.

    Biology

    Calculate the BMI of a person weighing 95 kg with height 1.78 m.

    Formula:Body Mass Index

    $BMI = \dfrac{m}{h^{2}}$

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12. 12.

    Physics

    If 1,788 J of work is done in 3 s, find the power.

    Formula:Power

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

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13. 13.

    Chemistry

    How many moles are present in 220 g of carbon dioxide (CO₂) (molar mass = 44 g/mol)?

    Formula:Number of Moles

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

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14. 14.

    Mathematics

    Find the slope of the line through (7, -4) and (0, -4).

    Formula:Slope of a Line

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

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15. 15.

    Mathematics

    Find the sum of the first 15 terms of an AP with first term 17 and common difference 6.

    Formula:AP Sum of n Terms

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

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16. 16.

    Physics

    A force of 446 N acts on an area of 38 m². Find the pressure.

    Formula:Pressure

    $P = \dfrac{F}{A}$

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17. 17.

    Physics

    Find the density of an object with mass 331 g and volume 35 cm³.

    Formula:Density

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

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18. 18.

    Chemistry

    Find the pressure of 3 mol of an ideal gas at 234 K in a 15 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

    Formula:Ideal Gas Law

    $PV = nRT$

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19. 19.

    Physics

    Find the density of an object with mass 387 g and volume 31 cm³.

    Formula:Density

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

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20. 20.

    Physics

    A force of 671 N acts on an area of 32 m². Find the pressure.

    Formula:Pressure

    $P = \dfrac{F}{A}$

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