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11+ · Practice Sheet 16

Sheet code: ELEVEN-PLUS-S16 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
A vehicle covers 332 km in 4 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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2.
Quantitative Aptitude
A invests £5,000 and B invests £7,000 for the same period. If the total profit is £35,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
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3.
Quantitative Aptitude
Two fair dice are rolled. What is the probability that the sum of the numbers is 7?
Formula:Probability (two dice)
$P = \dfrac{\text{favourable}}{\text{total}}$
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4.
Quantitative Aptitude
Divide £2,268 between two people in the ratio 5:7. 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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5.
Quantitative Aptitude
Two varieties costing £37 and £72 per kg are mixed to give a mixture worth £46 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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6.
Quantitative Aptitude
Divide £583 between two people in the ratio 5:6. 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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7.
Mathematics
Find the sum of the first 16 terms of an AP with first term 12 and common difference 8.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
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8.
Quantitative Aptitude
The marked price of an item is £1,900. After a 25% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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9.
Quantitative Aptitude
What is 60% of 1,060?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
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10.
Quantitative Aptitude
A can finish a job in 8 days and B in 13 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
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11.
Mathematics
Find the sum of the first 3 terms of a GP with first term 5 and common ratio 2.
Formula:GP Sum of n Terms
$S_n = a\,\dfrac{r^{n}-1}{r-1}$
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12.
Mathematics
Evaluate log base 3 of 9.
Formula:Logarithm Evaluation
$\log_{b}(b^{k}) = k$
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13.
Mathematics
In an arithmetic progression with first term 15 and common difference 6, find term number 12.
Formula:AP nth Term
$a_n = a + (n-1)d$
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14.
Quantitative Aptitude
A value changes from 800 to 1,040. Find the percentage increase.
Formula:Percentage Change
$\%\,\text{change} = \dfrac{|new-old|}{old}\times 100$
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15.
Quantitative Aptitude
The sum of the ages of two people is 60 years, and one is 12 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
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16.
Mathematics
Evaluate log base 3 of 729.
Formula:Logarithm Evaluation
$\log_{b}(b^{k}) = k$
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17.
Quantitative Aptitude
What is 30% of 820?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
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18.
Quantitative Aptitude
The sum of the ages of two people is 50 years, and one is 6 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
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19.
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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20.
Mathematics
Find the sum of the first 4 terms of a GP with first term 3 and common ratio 2.
Formula:GP Sum of n Terms
$S_n = a\,\dfrac{r^{n}-1}{r-1}$
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