FormulaWon

SAT · Practice Sheet 12

Sheet code: SAT-S12 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
A vehicle covers 322 km in 7 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
View formula →
2.
Quantitative Aptitude
Find the average of these 5 numbers: 24, 85, 90, 76, 90.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
View formula →
3.
Mathematics
If f(x) = 4x³ + 6x² + 9x, find f′(3).
Formula:Derivative of a Polynomial
$\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$
View formula →
4.
Quantitative Aptitude
Divide AED 3,072 between two people in the ratio 7:5. How much does each receive?
Formula:Sharing in a Ratio
$\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}$
View formula →
5.
Quantitative Aptitude
A vehicle covers 459 km in 9 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
View formula →
6.
Mathematics
Evaluate ∫ from 2 to 5 of 2x^3 dx.
Formula:Definite Integral of a Power
$\int_{p}^{q} a x^{n}\,dx = \dfrac{a}{n+1}\big[x^{n+1}\big]_{p}^{q}$
View formula →
7.
Quantitative Aptitude
In how many ways can 4 objects be chosen from 5 distinct objects? (Find ⁿᴄᵣ for n = 5, r = 4.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
View formula →
8.
Quantitative Aptitude
Find the compound interest on AED 6,000 at 20% per annum compounded annually for 2 years.
Formula:Compound Interest
$A = P\left(1+\dfrac{R}{100}\right)^{T}$
View formula →
9.
Mathematics
Find the sum of the first 22 terms of an AP with first term 3 and common difference 3.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
View formula →
10.
Mathematics
Find the binomial coefficient C(6, 4) — the coefficient of x^4 in (1 + x)^6.
Formula:Binomial Coefficient
$\binom{n}{r} = \dfrac{n!}{r!\,(n-r)!}$
View formula →
11.
Mathematics
Find the sum of the first 5 terms of a GP with first term 5 and common ratio 3.
Formula:GP Sum of n Terms
$S_n = a\,\dfrac{r^{n}-1}{r-1}$
View formula →
12.
Mathematics
If f(x) = 1x³ + 1x² + 4x, find f′(2).
Formula:Derivative of a Polynomial
$\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$
View formula →
13.
Mathematics
Find the sum of the first 25 terms of an AP with first term 14 and common difference 1.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
View formula →
14.
Quantitative Aptitude
In how many ways can 4 objects be arranged out of 5 distinct objects? (Find ⁿᴘᵣ for n = 5, r = 4.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
View formula →
15.
Quantitative Aptitude
In how many ways can 3 objects be chosen from 6 distinct objects? (Find ⁿᴄᵣ for n = 6, r = 3.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
View formula →
16.
Quantitative Aptitude
Divide AED 1,422 between two people in the ratio 3:6. How much does each receive?
Formula:Sharing in a Ratio
$\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}$
View formula →
17.
Quantitative Aptitude
A can finish a job in 12 days and B in 10 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
View formula →
18.
Quantitative Aptitude
The marked price of an item is AED 200. After a 5% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
View formula →
19.
Mathematics
Find the binomial coefficient C(7, 4) — the coefficient of x^4 in (1 + x)^7.
Formula:Binomial Coefficient
$\binom{n}{r} = \dfrac{n!}{r!\,(n-r)!}$
View formula →
20.
Quantitative Aptitude
What is 15% of 500?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
View formula →

Go to full solutions for this sheet