FormulaWon

GCSE Maths · Practice Sheet 18

Sheet code: GCSE-MATHS-S18 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
Divide £372 between two people in the ratio 2:4. 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
The marked price of an item is £1,600. After a 10% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
View formula →
3.
Mathematics
Evaluate ∫ from 0 to 3 of 3x^2 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 →
4.
Mathematics
Find the binomial coefficient C(7, 3) — the coefficient of x^3 in (1 + x)^7.
Formula:Binomial Coefficient
$\binom{n}{r} = \dfrac{n!}{r!\,(n-r)!}$
View formula →
5.
Quantitative Aptitude
A can finish a job in 16 days and B in 4 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
View formula →
6.
Quantitative Aptitude
A invests £8,000 and B invests £3,000 for the same period. If the total profit is £12,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
View formula →
7.
Quantitative Aptitude
The marked price of an item is £600. After a 20% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
View formula →
8.
Quantitative Aptitude
Find the simple interest on £38,000 at 12% per annum for 1 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
View formula →
9.
Mathematics
Find the binomial coefficient C(5, 2) — the coefficient of x^2 in (1 + x)^5.
Formula:Binomial Coefficient
$\binom{n}{r} = \dfrac{n!}{r!\,(n-r)!}$
View formula →
10.
Quantitative Aptitude
In how many ways can 2 objects be chosen from 6 distinct objects? (Find ⁿᴄᵣ for n = 6, r = 2.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
View formula →
11.
Mathematics
Evaluate ∫ from 2 to 3 of 2x^2 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 →
12.
Quantitative Aptitude
A value changes from 800 to 560. Find the percentage decrease.
Formula:Percentage Change
$\%\,\text{change} = \dfrac{|new-old|}{old}\times 100$
View formula →
13.
Mathematics
Find the distance between the points (-2, 3) and (-2, -2).
Formula:Distance Between Two Points
$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$
View formula →
14.
Quantitative Aptitude
Find the compound interest on £7,000 at 10% per annum compounded annually for 2 years.
Formula:Compound Interest
$A = P\left(1+\dfrac{R}{100}\right)^{T}$
View formula →
15.
Quantitative Aptitude
A vehicle covers 357 km in 7 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
View formula →
16.
Quantitative Aptitude
A invests £2,000 and B invests £3,000 for the same period. If the total profit is £24,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
View formula →
17.
Quantitative Aptitude
Pipe A fills a tank in 3 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 →
18.
Mathematics
Find term number 7 of a geometric progression with first term 3 and common ratio 2.
Formula:GP nth Term
$a_n = a\,r^{\,n-1}$
View formula →
19.
Mathematics
If f(x) = 5x³ + 3x² + 9x, find f′(3).
Formula:Derivative of a Polynomial
$\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$
View formula →
20.
Quantitative Aptitude
Two varieties costing £14 and £90 per kg are mixed to give a mixture worth £32 per kg. Find the mixing ratio.
Formula:Alligation (Mixtures)
$\dfrac{q_1}{q_2} = \dfrac{p_2-m}{m-p_1}$
View formula →

Go to full solutions for this sheet