ACT · Practice Sheet 8

1. 1.

   Quantitative Aptitude

   Find the compound interest on $4,000 at 10% per annum compounded annually for 2 years.

   Formula:Compound Interest

   $A = P\left(1+\dfrac{R}{100}\right)^{T}$

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2. 2.

   Physics

   A constant force of 21 N moves an object 33 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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3. 3.

   Mathematics

   Find the sum of the first 20 terms of an AP with first term 4 and common difference 6.

   Formula:AP Sum of n Terms

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

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4. 4.

   Quantitative Aptitude

   Find the HCF and LCM of 33 and 15.

   Formula:LCM & HCF

   $\text{LCM}\times\text{HCF} = a\times b$

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5. 5.

   Quantitative Aptitude

   The sum of the ages of two people is 54 years, and one is 4 years older than the other. Find their ages.

   Formula:Ages (linear equations)

   $x + (x+d) = S$

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6. 6.

   Physics

   A constant force of 37 N moves an object 28 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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7. 7.

   Physics

   A body moving at 14 m/s accelerates at 5 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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8. 8.

   Quantitative Aptitude

   The marked price of an item is $300. After a 5% discount, find the selling price.

   Formula:Discount & Selling Price

   $SP = MP\left(1-\dfrac{d}{100}\right)$

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9. 9.

   Mathematics

   Evaluate log base 3 of 9.

   Formula:Logarithm Evaluation

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

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10. 10.

    Physics

    A body moving at 2 m/s accelerates at 3 m/s² for 4 s. Find the distance travelled.

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

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

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11. 11.

    Physics

    An object starts at 5 m/s and accelerates at 4 m/s² for 3 s. Find its final velocity.

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

    $v = u + at$

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12. 12.

    Quantitative Aptitude

    Find the compound interest on $8,000 at 10% per annum compounded annually for 2 years.

    Formula:Compound Interest

    $A = P\left(1+\dfrac{R}{100}\right)^{T}$

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13. 13.

    Mathematics

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

    Formula:GP Sum of n Terms

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

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14. 14.

    Quantitative Aptitude

    What is 25% of 400?

    Formula:Percentage of a Number

    $\text{Value} = \dfrac{P}{100}\times N$

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15. 15.

    Mathematics

    Find the sum of the first 6 terms of a GP with first term 5 and common ratio 3.

    Formula:GP Sum of n Terms

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

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16. 16.

    Physics

    Find the electrical power when 150 V drives a current of 11 A.

    Formula:Electrical Power

    $P = VI$

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17. 17.

    Quantitative Aptitude

    An item is bought for $500 and sold for $575. Find the profit percentage.

    Formula:Profit Percentage

    $\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$

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18. 18.

    Physics

    Find the momentum of a 38 kg body moving at 28 m/s.

    Formula:Linear Momentum

    $p = mv$

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19. 19.

    Physics

    If 3,319 J of work is done in 19 s, find the power.

    Formula:Power

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

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20. 20.

    Quantitative Aptitude

    What is 60% of 960?

    Formula:Percentage of a Number

    $\text{Value} = \dfrac{P}{100}\times N$

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