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UCAT · Practice Sheet 26

Sheet code: UCAT-S26 · 20 questions

Name: ______________

Date: ______________

1.
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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2.
Quantitative Aptitude
The marked price of an item is £1,300. After a 25% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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3.
Quantitative Aptitude
A can finish a job in 16 days and B in 7 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
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4.
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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5.
Quantitative Aptitude
The sum of the ages of two people is 62 years, and one is 14 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
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6.
Quantitative Aptitude
Find the compound interest on £4,000 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 6 numbers: 27, 59, 43, 76, 29, 27.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
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8.
Quantitative Aptitude
Find the compound interest on £9,000 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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9.
Quantitative Aptitude
In how many ways can 4 objects be arranged out of 5 distinct objects? (Find ⁿᴘᵣ for n = 5, r = 4.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
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10.
Quantitative Aptitude
An item is bought for £900 and sold for £1,080. Find the profit percentage.
Formula:Profit Percentage
$\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$
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11.
Quantitative Aptitude
What is 75% of 600?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
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12.
Quantitative Aptitude
The marked price of an item is £1,600. After a 15% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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13.
Quantitative Aptitude
Find the simple interest on £16,000 at 5% per annum for 1 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
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14.
Quantitative Aptitude
Two fair dice are rolled. What is the probability that the sum of the numbers is 6?
Formula:Probability (two dice)
$P = \dfrac{\text{favourable}}{\text{total}}$
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15.
Quantitative Aptitude
Find the compound interest on £2,000 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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16.
Quantitative Aptitude
The sum of the ages of two people is 49 years, and one is 9 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
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17.
Quantitative Aptitude
What is 50% of 500?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
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18.
Quantitative Aptitude
The marked price of an item is £900. After a 10% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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19.
Quantitative Aptitude
Divide £1,176 between two people in the ratio 6:6. 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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20.
Quantitative Aptitude
A can finish a job in 12 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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