FormulaWon

SAT · Practice Sheet 44

Sheet code: SAT-US-S44 · 20 questions

Name: ______________

Date: ______________

1.
Mathematics
Find the sum of the first 13 terms of an AP with first term 17 and common difference 8.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
View formula →
2.
Quantitative Aptitude
Two fair dice are rolled. What is the probability that the sum of the numbers is 6?
Formula:Probability (two dice)
$P = \dfrac{\text{favourable}}{\text{total}}$
View formula →
3.
Mathematics
In an arithmetic progression with first term 5 and common difference 9, find term number 24.
Formula:AP nth Term
$a_n = a + (n-1)d$
View formula →
4.
Quantitative Aptitude
Find the HCF and LCM of 6 and 29.
Formula:LCM & HCF
$\text{LCM}\times\text{HCF} = a\times b$
View formula →
5.
Mathematics
Evaluate ∫ from 0 to 4 of 5x^1 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 →
6.
Quantitative Aptitude
Divide $864 between two people in the ratio 2:7. How much does each receive?
Formula:Sharing in a Ratio
$\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}$
View formula →
7.
Mathematics
Find the binomial coefficient C(9, 3) — the coefficient of x^3 in (1 + x)^9.
Formula:Binomial Coefficient
$\binom{n}{r} = \dfrac{n!}{r!\,(n-r)!}$
View formula →
8.
Mathematics
Find term number 7 of a geometric progression with first term 6 and common ratio 2.
Formula:GP nth Term
$a_n = a\,r^{\,n-1}$
View formula →
9.
Mathematics
Find the sum of the first 8 terms of an AP with first term 15 and common difference 7.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
View formula →
10.
Quantitative Aptitude
Two varieties costing $23 and $82 per kg are mixed to give a mixture worth $29 per kg. Find the mixing ratio.
Formula:Alligation (Mixtures)
$\dfrac{q_1}{q_2} = \dfrac{p_2-m}{m-p_1}$
View formula →
11.
Quantitative Aptitude
Find the average of these 8 numbers: 30, 29, 68, 32, 82, 86, 20, 22.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
View formula →
12.
Quantitative Aptitude
Divide $2,160 between two people in the ratio 4:5. How much does each receive?
Formula:Sharing in a Ratio
$\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}$
View formula →
13.
Mathematics
Find the binomial coefficient C(9, 2) — the coefficient of x^2 in (1 + x)^9.
Formula:Binomial Coefficient
$\binom{n}{r} = \dfrac{n!}{r!\,(n-r)!}$
View formula →
14.
Quantitative Aptitude
Find the simple interest on $41,000 at 10% per annum for 3 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
View formula →
15.
Mathematics
Find the sum of the first 6 terms of an AP with first term 17 and common difference 4.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
View formula →
16.
Mathematics
Find the binomial coefficient C(5, 3) — the coefficient of x^3 in (1 + x)^5.
Formula:Binomial Coefficient
$\binom{n}{r} = \dfrac{n!}{r!\,(n-r)!}$
View formula →
17.
Mathematics
If f(x) = 4x³ + 2x² + 1x, find f′(3).
Formula:Derivative of a Polynomial
$\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$
View formula →
18.
Quantitative Aptitude
Divide $1,164 between two people in the ratio 2:2. How much does each receive?
Formula:Sharing in a Ratio
$\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}$
View formula →
19.
Quantitative Aptitude
Find the average of these 6 numbers: 68, 23, 20, 21, 84, 56.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
View formula →
20.
Mathematics
Find the sum of the first 21 terms of an AP with first term 4 and common difference 9.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
View formula →

Go to full solutions for this sheet