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UCAT · Practice Sheet 38

Sheet code: UCAT-S38 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
Find the average of these 5 numbers: 56, 68, 72, 30, 49.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
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2.
Quantitative Aptitude
Find the compound interest on £1,000 at 10% per annum compounded annually for 3 years.
Formula:Compound Interest
$A = P\left(1+\dfrac{R}{100}\right)^{T}$
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3.
Quantitative Aptitude
Divide £1,440 between two people in the ratio 6:3. 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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4.
Quantitative Aptitude
A vehicle covers 136 km in 4 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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5.
Quantitative Aptitude
The marked price of an item is £1,000. After a 30% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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6.
Quantitative Aptitude
Find the compound interest on £3,000 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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7.
Quantitative Aptitude
Find the average of these 5 numbers: 22, 41, 41, 73, 46.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
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8.
Quantitative Aptitude
A can finish a job in 14 days and B in 15 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
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9.
Quantitative Aptitude
The marked price of an item is £700. After a 40% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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10.
Quantitative Aptitude
Find the compound interest on £6,000 at 20% per annum compounded annually for 2 years.
Formula:Compound Interest
$A = P\left(1+\dfrac{R}{100}\right)^{T}$
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11.
Quantitative Aptitude
Pipe A fills a tank in 8 hours and pipe B in 12 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
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12.
Quantitative Aptitude
A can finish a job in 15 days and B in 8 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
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13.
Quantitative Aptitude
A value changes from 300 to 390. Find the percentage increase.
Formula:Percentage Change
$\%\,\text{change} = \dfrac{|new-old|}{old}\times 100$
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14.
Quantitative Aptitude
Divide £1,610 between two people in the ratio 2:5. 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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15.
Quantitative Aptitude
Pipe A fills a tank in 11 hours and pipe B in 13 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
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16.
Quantitative Aptitude
A can finish a job in 14 days and B in 12 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
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17.
Quantitative Aptitude
Two varieties costing £32 and £96 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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18.
Quantitative Aptitude
Find the average of these 10 numbers: 34, 47, 65, 77, 30, 56, 84, 83, 73, 29.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
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19.
Quantitative Aptitude
Divide £1,742 between two people in the ratio 6:7. 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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20.
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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