EmSAT Achieve · Practice Sheet 1

1. 1.

   Physics

   Find the density of an object with mass 372 g and volume 32 cm³.

   Formula:Density

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

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2. 2.

   Physics

   If 1,709 J of work is done in 11 s, find the power.

   Formula:Power

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

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3. 3.

   Mathematics

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

   Formula:GP nth Term

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

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4. 4.

   Physics

   Calculate the potential energy of a 5 kg object at a height of 14 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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5. 5.

   Physics

   A constant force of 176 N moves an object 50 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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6. 6.

   Biology

   In a monohybrid cross (Aa × Aa) producing 168 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. 7.

   Physics

   A projectile is launched at 15 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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8. 8.

   Physics

   Find the momentum of a 49 kg body moving at 27 m/s.

   Formula:Linear Momentum

   $p = mv$

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9. 9.

   Physics

   Find the voltage across a 2 Ω resistor carrying a current of 6 A.

   Formula:Ohm's Law

   $V = IR$

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10. 10.

    Physics

    Calculate the potential energy of a 40 kg object at a height of 44 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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11. 11.

    Physics

    A force of 933 N acts on an area of 19 m². Find the pressure.

    Formula:Pressure

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

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12. 12.

    Physics

    Find the force required to accelerate a 27 kg mass at 15 m/s².

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

    $F = ma$

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13. 13.

    Mathematics

    In an arithmetic progression with first term 11 and common difference 8, find term number 8.

    Formula:AP nth Term

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

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14. 14.

    Chemistry

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

    Formula:Number of Moles

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

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15. 15.

    Physics

    A body moving at 0 m/s accelerates at 6 m/s² for 8 s. Find the distance travelled.

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

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

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16. 16.

    Physics

    Find the voltage across a 41 Ω resistor carrying a current of 2 A.

    Formula:Ohm's Law

    $V = IR$

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17. 17.

    Biology

    In a monohybrid cross (Aa × Aa) producing 172 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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18. 18.

    Chemistry

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

    Formula:Number of Moles

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

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19. 19.

    Mathematics

    Find the slope of the line through (4, -8) and (-7, 3).

    Formula:Slope of a Line

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

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20. 20.

    Chemistry

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

    Formula:Number of Moles

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

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