FormulaWon

GCSE Maths · Practice Sheet 35

Sheet code: GCSE-MATHS-S35 · 20 questions

Name: ______________

Date: ______________

1.
Mathematics
Find term number 3 of a geometric progression with first term 3 and common ratio 3.
Formula:GP nth Term
$a_n = a\,r^{\,n-1}$
View formula →
2.
Quantitative Aptitude
A vehicle covers 110 km in 2 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
View formula →
3.
Quantitative Aptitude
Find the HCF and LCM of 32 and 34.
Formula:LCM & HCF
$\text{LCM}\times\text{HCF} = a\times b$
View formula →
4.
Quantitative Aptitude
Divide £2,010 between two people in the ratio 5:5. 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.
Mathematics
Find the sum of the first 23 terms of an AP with first term 9 and common difference 3.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
View formula →
6.
Quantitative Aptitude
Divide £648 between two people in the ratio 2:6. How much does each receive?
Formula:Sharing in a Ratio
$\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}$
View formula →
7.
Quantitative Aptitude
What is 40% of 1,020?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
View formula →
8.
Quantitative Aptitude
Find the compound interest on £9,000 at 10% per annum compounded annually for 2 years.
Formula:Compound Interest
$A = P\left(1+\dfrac{R}{100}\right)^{T}$
View formula →
9.
Quantitative Aptitude
A vehicle covers 276 km in 6 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
View formula →
10.
Quantitative Aptitude
In how many ways can 3 objects be arranged out of 6 distinct objects? (Find ⁿᴘᵣ for n = 6, r = 3.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
View formula →
11.
Quantitative Aptitude
A can finish a job in 18 days and B in 14 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
View formula →
12.
Quantitative Aptitude
Find the simple interest on £9,000 at 6% per annum for 2 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
View formula →
13.
Quantitative Aptitude
A vehicle covers 304 km in 4 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
View formula →
14.
Quantitative Aptitude
The marked price of an item is £1,200. After a 20% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
View formula →
15.
Mathematics
Find term number 5 of a geometric progression with first term 6 and common ratio 3.
Formula:GP nth Term
$a_n = a\,r^{\,n-1}$
View formula →
16.
Mathematics
If f(x) = 2x³ + 5x² + 5x, find f′(5).
Formula:Derivative of a Polynomial
$\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$
View formula →
17.
Quantitative Aptitude
Two varieties costing £32 and £98 per kg are mixed to give a mixture worth £41 per kg. Find the mixing ratio.
Formula:Alligation (Mixtures)
$\dfrac{q_1}{q_2} = \dfrac{p_2-m}{m-p_1}$
View formula →
18.
Quantitative Aptitude
What is 10% of 360?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
View formula →
19.
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 →
20.
Mathematics
Evaluate log base 2 of 32.
Formula:Logarithm Evaluation
$\log_{b}(b^{k}) = k$
View formula →

Go to full solutions for this sheet