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GCSE Maths · Practice Sheet 32

Sheet code: GCSE-MATHS-S32 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
The marked price of an item is £1,000. After a 50% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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2.
Mathematics
Evaluate log base 2 of 16.
Formula:Logarithm Evaluation
$\log_{b}(b^{k}) = k$
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3.
Quantitative Aptitude
A vehicle covers 160 km in 5 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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4.
Quantitative Aptitude
The marked price of an item is £400. After a 25% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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5.
Quantitative Aptitude
A invests £7,000 and B invests £8,000 for the same period. If the total profit is £13,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
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6.
Quantitative Aptitude
Two fair dice are rolled. What is the probability that the sum of the numbers is 9?
Formula:Probability (two dice)
$P = \dfrac{\text{favourable}}{\text{total}}$
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7.
Quantitative Aptitude
Two varieties costing £16 and £74 per kg are mixed to give a mixture worth £56 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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8.
Quantitative Aptitude
Find the compound interest on £10,000 at 10% per annum compounded annually for 2 years.
Formula:Compound Interest
$A = P\left(1+\dfrac{R}{100}\right)^{T}$
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9.
Mathematics
Evaluate ∫ from 1 to 3 of 3x^2 dx.
Formula:Definite Integral of a Power
$\int_{p}^{q} a x^{n}\,dx = \dfrac{a}{n+1}\big[x^{n+1}\big]_{p}^{q}$
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10.
Mathematics
Find the sum of the first 8 terms of an AP with first term 1 and common difference 3.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
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11.
Quantitative Aptitude
A vehicle covers 462 km in 6 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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12.
Mathematics
Find the slope of the line through (8, -1) and (9, -3).
Formula:Slope of a Line
$m = \dfrac{y_2-y_1}{x_2-x_1}$
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13.
Quantitative Aptitude
The sum of the ages of two people is 73 years, and one is 5 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
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14.
Quantitative Aptitude
In how many ways can 3 objects be chosen from 10 distinct objects? (Find ⁿᴄᵣ for n = 10, r = 3.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
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15.
Mathematics
Find term number 7 of a geometric progression with first term 4 and common ratio 3.
Formula:GP nth Term
$a_n = a\,r^{\,n-1}$
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16.
Quantitative Aptitude
Two fair dice are rolled. What is the probability that the sum of the numbers is 4?
Formula:Probability (two dice)
$P = \dfrac{\text{favourable}}{\text{total}}$
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17.
Quantitative Aptitude
Divide £1,143 between two people in the ratio 4:5. How much does each receive?
Formula:Sharing in a Ratio
$\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}$
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18.
Mathematics
Find term number 7 of a geometric progression with first term 6 and common ratio 2.
Formula:GP nth Term
$a_n = a\,r^{\,n-1}$
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19.
Quantitative Aptitude
Two varieties costing £33 and £81 per kg are mixed to give a mixture worth £57 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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20.
Quantitative Aptitude
What is 75% of 160?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
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