EmSAT Achieve · Practice Sheet 44

1. 1.

   Mathematics

   In an arithmetic progression with first term 15 and common difference 1, find term number 27.

   Formula:AP nth Term

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

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2. 2.

   Physics

   Find the momentum of a 3 kg body moving at 28 m/s.

   Formula:Linear Momentum

   $p = mv$

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3. 3.

   Biology

   Calculate the BMI of a person weighing 95 kg with height 1.68 m.

   Formula:Body Mass Index

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

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4. 4.

   Biology

   Under a microscope, an object of actual size 4.3 mm appears 47.3 mm. Find the magnification.

   Formula:Microscope Magnification

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

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5. 5.

   Mathematics

   Find the sum of the first 4 terms of a GP with first term 3 and common ratio 2.

   Formula:GP Sum of n Terms

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

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6. 6.

   Physics

   Find the kinetic energy of a 4 kg object moving at 19 m/s.

   Formula:Kinetic Energy

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

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7. 7.

   Chemistry

   Find the pressure of 2 mol of an ideal gas at 213 K in a 10 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

   Formula:Ideal Gas Law

   $PV = nRT$

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8. 8.

   Physics

   A force of 904 N acts on an area of 13 m². Find the pressure.

   Formula:Pressure

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

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9. 9.

   Mathematics

   In an arithmetic progression with first term 4 and common difference 10, find term number 30.

   Formula:AP nth Term

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

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10. 10.

    Physics

    A force of 345 N acts on an area of 13 m². Find the pressure.

    Formula:Pressure

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

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11. 11.

    Physics

    Calculate the potential energy of a 10 kg object at a height of 15 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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12. 12.

    Mathematics

    In an arithmetic progression with first term 18 and common difference 8, find term number 16.

    Formula:AP nth Term

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

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13. 13.

    Physics

    Find the force required to accelerate a 17 kg mass at 14 m/s².

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

    $F = ma$

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14. 14.

    Mathematics

    Find the sum of the first 18 terms of an AP with first term 9 and common difference 9.

    Formula:AP Sum of n Terms

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

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15. 15.

    Biology

    Under a microscope, an object of actual size 1.5 mm appears 19.5 mm. Find the magnification.

    Formula:Microscope Magnification

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

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16. 16.

    Physics

    A constant force of 134 N moves an object 49 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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17. 17.

    Physics

    Find the momentum of a 16 kg body moving at 9 m/s.

    Formula:Linear Momentum

    $p = mv$

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18. 18.

    Mathematics

    In an arithmetic progression with first term 14 and common difference 8, find term number 21.

    Formula:AP nth Term

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

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19. 19.

    Mathematics

    Find the distance between the points (-4, 0) and (-1, -1).

    Formula:Distance Between Two Points

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

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20. 20.

    Biology

    In a monohybrid cross (Aa × Aa) producing 148 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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