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A-Level Maths · Practice Sheet 44

Sheet code: A-LEVEL-MATHS-S44 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
What is 30% of 520?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
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2.
Mathematics
In an arithmetic progression with first term 17 and common difference 6, find term number 5.
Formula:AP nth Term
$a_n = a + (n-1)d$
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3.
Mathematics
Find the sum of the first 5 terms of an AP with first term 17 and common difference 4.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
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4.
Quantitative Aptitude
Find the simple interest on £9,000 at 4% per annum for 2 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
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5.
Mathematics
Find term number 5 of a geometric progression with first term 5 and common ratio 3.
Formula:GP nth Term
$a_n = a\,r^{\,n-1}$
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6.
Mathematics
Evaluate ∫ from 2 to 4 of 4x^2 dx.
Formula:Definite Integral of a Power
$\int_{p}^{q} a x^{n}\,dx = \dfrac{a}{n+1}\big[x^{n+1}\big]_{p}^{q}$
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7.
Mathematics
Find term number 7 of a geometric progression with first term 2 and common ratio 3.
Formula:GP nth Term
$a_n = a\,r^{\,n-1}$
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8.
Quantitative Aptitude
What is 20% of 880?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
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9.
Quantitative Aptitude
Two varieties costing £12 and £81 per kg are mixed to give a mixture worth £60 per kg. Find the mixing ratio.
Formula:Alligation (Mixtures)
$\dfrac{q_1}{q_2} = \dfrac{p_2-m}{m-p_1}$
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10.
Mathematics
Find the sum of the first 5 terms of a GP with first term 1 and common ratio 3.
Formula:GP Sum of n Terms
$S_n = a\,\dfrac{r^{n}-1}{r-1}$
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11.
Quantitative Aptitude
In how many ways can 4 objects be chosen from 9 distinct objects? (Find ⁿᴄᵣ for n = 9, r = 4.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
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12.
Mathematics
Find the binomial coefficient C(10, 4) — the coefficient of x^4 in (1 + x)^10.
Formula:Binomial Coefficient
$\binom{n}{r} = \dfrac{n!}{r!\,(n-r)!}$
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13.
Quantitative Aptitude
The marked price of an item is £2,000. After a 40% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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14.
Quantitative Aptitude
Two varieties costing £36 and £82 per kg are mixed to give a mixture worth £44 per kg. Find the mixing ratio.
Formula:Alligation (Mixtures)
$\dfrac{q_1}{q_2} = \dfrac{p_2-m}{m-p_1}$
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15.
Quantitative Aptitude
An item is bought for £900 and sold for £1,350. Find the profit percentage.
Formula:Profit Percentage
$\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$
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16.
Quantitative Aptitude
Find the compound interest on £7,000 at 20% per annum compounded annually for 3 years.
Formula:Compound Interest
$A = P\left(1+\dfrac{R}{100}\right)^{T}$
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17.
Quantitative Aptitude
Find the HCF and LCM of 30 and 22.
Formula:LCM & HCF
$\text{LCM}\times\text{HCF} = a\times b$
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18.
Quantitative Aptitude
In how many ways can 3 objects be arranged out of 7 distinct objects? (Find ⁿᴘᵣ for n = 7, r = 3.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
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19.
Quantitative Aptitude
An item is bought for £500 and sold for £550. Find the profit percentage.
Formula:Profit Percentage
$\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$
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20.
Quantitative Aptitude
Pipe A fills a tank in 5 hours and pipe B in 15 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
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