FormulaWon

A-Level Maths · Practice Sheet 7

Sheet code: A-LEVEL-MATHS-S07 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
Two varieties costing £36 and £76 per kg are mixed to give a mixture worth £64 per kg. Find the mixing ratio.
Formula:Alligation (Mixtures)
$\dfrac{q_1}{q_2} = \dfrac{p_2-m}{m-p_1}$
View formula →
2.
Mathematics
Find the sum of the first 6 terms of a GP with first term 3 and common ratio 3.
Formula:GP Sum of n Terms
$S_n = a\,\dfrac{r^{n}-1}{r-1}$
View formula →
3.
Mathematics
If f(x) = 2x³ + 6x² + 7x, find f′(1).
Formula:Derivative of a Polynomial
$\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$
View formula →
4.
Quantitative Aptitude
Two varieties costing £35 and £88 per kg are mixed to give a mixture worth £74 per kg. Find the mixing ratio.
Formula:Alligation (Mixtures)
$\dfrac{q_1}{q_2} = \dfrac{p_2-m}{m-p_1}$
View formula →
5.
Quantitative Aptitude
Find the average of these 6 numbers: 87, 39, 30, 39, 30, 46.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
View formula →
6.
Mathematics
For the quadratic 3x² − 8x + 9 = 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 →
7.
Mathematics
Find term number 3 of a geometric progression with first term 6 and common ratio 2.
Formula:GP nth Term
$a_n = a\,r^{\,n-1}$
View formula →
8.
Quantitative Aptitude
Divide £2,340 between two people in the ratio 6:6. How much does each receive?
Formula:Sharing in a Ratio
$\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}$
View formula →
9.
Quantitative Aptitude
Find the compound interest on £15,000 at 20% per annum compounded annually for 3 years.
Formula:Compound Interest
$A = P\left(1+\dfrac{R}{100}\right)^{T}$
View formula →
10.
Quantitative Aptitude
What is 10% of 360?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
View formula →
11.
Quantitative Aptitude
A invests £3,000 and B invests £9,000 for the same period. If the total profit is £29,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
View formula →
12.
Quantitative Aptitude
What is 20% of 920?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
View formula →
13.
Quantitative Aptitude
In how many ways can 2 objects be arranged out of 5 distinct objects? (Find ⁿᴘᵣ for n = 5, r = 2.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
View formula →
14.
Quantitative Aptitude
What is 15% of 280?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
View formula →
15.
Mathematics
Find the distance between the points (-7, 7) and (-7, 2).
Formula:Distance Between Two Points
$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$
View formula →
16.
Quantitative Aptitude
Divide £891 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 →
17.
Quantitative Aptitude
An item is bought for £500 and sold for £550. Find the profit percentage.
Formula:Profit Percentage
$\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$
View formula →
18.
Mathematics
Find the slope of the line through (-6, 8) and (-7, -2).
Formula:Slope of a Line
$m = \dfrac{y_2-y_1}{x_2-x_1}$
View formula →
19.
Quantitative Aptitude
Two varieties costing £15 and £72 per kg are mixed to give a mixture worth £61 per kg. Find the mixing ratio.
Formula:Alligation (Mixtures)
$\dfrac{q_1}{q_2} = \dfrac{p_2-m}{m-p_1}$
View formula →
20.
Quantitative Aptitude
A invests £9,000 and B invests £6,000 for the same period. If the total profit is £35,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
View formula →

Go to full solutions for this sheet