FormulaWon

ACT · Practice Sheet 48

Sheet code: ACT-S48 · 20 questions

Name: ______________

Date: ______________

1.
Physics
A projectile is launched at 50 m/s at 60° to the horizontal. Find its range (g = 9.8 m/s²).
Formula:Projectile Range
$R = \dfrac{u^{2}\sin 2\theta}{g}$
View formula →
2.
Quantitative Aptitude
Find the compound interest on $12,000 at 10% per annum compounded annually for 2 years.
Formula:Compound Interest
$A = P\left(1+\dfrac{R}{100}\right)^{T}$
View formula →
3.
Physics
A force of 811 N acts on an area of 47 m². Find the pressure.
Formula:Pressure
$P = \dfrac{F}{A}$
View formula →
4.
Quantitative Aptitude
Pipe A fills a tank in 7 hours and pipe B in 14 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
View formula →
5.
Quantitative Aptitude
In how many ways can 2 objects be arranged out of 9 distinct objects? (Find ⁿᴘᵣ for n = 9, r = 2.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
View formula →
6.
Mathematics
Find term number 7 of a geometric progression with first term 1 and common ratio 3.
Formula:GP nth Term
$a_n = a\,r^{\,n-1}$
View formula →
7.
Quantitative Aptitude
Divide $2,601 between two people in the ratio 6:3. How much does each receive?
Formula:Sharing in a Ratio
$\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}$
View formula →
8.
Quantitative Aptitude
A can finish a job in 20 days and B in 10 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
View formula →
9.
Quantitative Aptitude
An item is bought for $800 and sold for $1,000. Find the profit percentage.
Formula:Profit Percentage
$\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$
View formula →
10.
Physics
Find the density of an object with mass 208 g and volume 36 cm³.
Formula:Density
$\rho = \dfrac{m}{V}$
View formula →
11.
Physics
A projectile is launched at 10 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 →
12.
Mathematics
Evaluate log base 2 of 16.
Formula:Logarithm Evaluation
$\log_{b}(b^{k}) = k$
View formula →
13.
Physics
Find the kinetic energy of a 3 kg object moving at 8 m/s.
Formula:Kinetic Energy
$KE = \tfrac{1}{2}mv^{2}$
View formula →
14.
Quantitative Aptitude
A invests $9,000 and B invests $4,000 for the same period. If the total profit is $15,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
View formula →
15.
Physics
Find the kinetic energy of a 18 kg object moving at 21 m/s.
Formula:Kinetic Energy
$KE = \tfrac{1}{2}mv^{2}$
View formula →
16.
Quantitative Aptitude
The sum of the ages of two people is 48 years, and one is 14 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
View formula →
17.
Quantitative Aptitude
A invests $3,000 and B invests $10,000 for the same period. If the total profit is $36,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
View formula →
18.
Physics
Find the force required to accelerate a 9 kg mass at 17 m/s².
Formula:Newton's Second Law (F = ma)
$F = ma$
View formula →
19.
Quantitative Aptitude
Find the compound interest on $12,000 at 10% per annum compounded annually for 2 years.
Formula:Compound Interest
$A = P\left(1+\dfrac{R}{100}\right)^{T}$
View formula →
20.
Quantitative Aptitude
Pipe A fills a tank in 4 hours and pipe B in 9 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
View formula →

Go to full solutions for this sheet