FormulaWon

A-Level Maths · Practice Sheet 31

Sheet code: A-LEVEL-MATHS-S31 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
Divide £2,013 between two people in the ratio 6:5. How much does each receive?
Formula:Sharing in a Ratio
$\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}$
View formula →
2.
Quantitative Aptitude
A can finish a job in 17 days and B in 4 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
View formula →
3.
Mathematics
Find the slope of the line through (-7, -5) and (-6, -6).
Formula:Slope of a Line
$m = \dfrac{y_2-y_1}{x_2-x_1}$
View formula →
4.
Quantitative Aptitude
Divide £2,060 between two people in the ratio 3:7. How much does each receive?
Formula:Sharing in a Ratio
$\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}$
View formula →
5.
Quantitative Aptitude
Two fair dice are rolled. What is the probability that the sum of the numbers is 10?
Formula:Probability (two dice)
$P = \dfrac{\text{favourable}}{\text{total}}$
View formula →
6.
Quantitative Aptitude
Pipe A fills a tank in 3 hours and pipe B in 10 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
View formula →
7.
Mathematics
Find the sum of the first 3 terms of a GP with first term 3 and common ratio 2.
Formula:GP Sum of n Terms
$S_n = a\,\dfrac{r^{n}-1}{r-1}$
View formula →
8.
Mathematics
If f(x) = 2x³ + 5x² + 8x, find f′(2).
Formula:Derivative of a Polynomial
$\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$
View formula →
9.
Mathematics
For the quadratic 2x² + 5x + 5 = 0, find the sum and product of its roots.
Formula:Vieta's Formulas (roots)
$\alpha+\beta=-\dfrac{b}{a},\;\alpha\beta=\dfrac{c}{a}$
View formula →
10.
Quantitative Aptitude
In how many ways can 4 objects be chosen from 7 distinct objects? (Find ⁿᴄᵣ for n = 7, r = 4.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
View formula →
11.
Mathematics
Find term number 4 of a geometric progression with first term 6 and common ratio 3.
Formula:GP nth Term
$a_n = a\,r^{\,n-1}$
View formula →
12.
Quantitative Aptitude
In how many ways can 4 objects be chosen from 6 distinct objects? (Find ⁿᴄᵣ for n = 6, r = 4.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
View formula →
13.
Quantitative Aptitude
The sum of the ages of two people is 56 years, and one is 20 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
View formula →
14.
Quantitative Aptitude
An item is bought for £200 and sold for £240. Find the profit percentage.
Formula:Profit Percentage
$\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$
View formula →
15.
Quantitative Aptitude
Find the HCF and LCM of 6 and 22.
Formula:LCM & HCF
$\text{LCM}\times\text{HCF} = a\times b$
View formula →
16.
Quantitative Aptitude
Find the average of these 10 numbers: 44, 42, 53, 44, 43, 45, 22, 69, 23, 37.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
View formula →
17.
Quantitative Aptitude
Two fair dice are rolled. What is the probability that the sum of the numbers is 7?
Formula:Probability (two dice)
$P = \dfrac{\text{favourable}}{\text{total}}$
View formula →
18.
Mathematics
For the quadratic 1x² − 6x − 6 = 0, find the sum and product of its roots.
Formula:Vieta's Formulas (roots)
$\alpha+\beta=-\dfrac{b}{a},\;\alpha\beta=\dfrac{c}{a}$
View formula →
19.
Mathematics
Find the sum of the first 12 terms of an AP with first term 19 and common difference 3.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
View formula →
20.
Mathematics
Find the sum of the first 5 terms of a GP with first term 2 and common ratio 3.
Formula:GP Sum of n Terms
$S_n = a\,\dfrac{r^{n}-1}{r-1}$
View formula →

Go to full solutions for this sheet