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GCSE Maths · Practice Sheet 13

Sheet code: GCSE-MATHS-S13 · 20 questions

Name: ______________
Date: ______________
  1. 1.
    Quantitative Aptitude

    An item is bought for £200 and sold for £260. Find the profit percentage.

    Formula:Profit Percentage
    Profit%=SPCPCP×100\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100
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  2. 2.
    Quantitative Aptitude

    In how many ways can 3 objects be chosen from 5 distinct objects? (Find ⁿᴄᵣ for n = 5, r = 3.)

    Formula:Combinations
    nCr=n!r!(nr)!^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}
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  3. 3.
    Mathematics

    Find the binomial coefficient C(7, 4) — the coefficient of x^4 in (1 + x)^7.

    Formula:Binomial Coefficient
    (nr)=n!r!(nr)!\binom{n}{r} = \dfrac{n!}{r!\,(n-r)!}
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  4. 4.
    Quantitative Aptitude

    What is 20% of 80?

    Formula:Percentage of a Number
    Value=P100×N\text{Value} = \dfrac{P}{100}\times N
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  5. 5.
    Quantitative Aptitude

    Find the simple interest on £27,000 at 5% per annum for 6 year(s).

    Formula:Simple Interest
    SI=P×R×T100SI = \dfrac{P\times R\times T}{100}
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  6. 6.
    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(1d100)SP = MP\left(1-\dfrac{d}{100}\right)
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  7. 7.
    Quantitative Aptitude

    A value changes from 800 to 840. Find the percentage increase.

    Formula:Percentage Change
    %change=newoldold×100\%\,\text{change} = \dfrac{|new-old|}{old}\times 100
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  8. 8.
    Quantitative Aptitude

    A vehicle covers 774 km in 9 hours. Find its average speed.

    Formula:Speed, Distance & Time
    Speed=DistanceTime\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}
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  9. 9.
    Quantitative Aptitude

    Find the HCF and LCM of 34 and 31.

    Formula:LCM & HCF
    LCM×HCF=a×b\text{LCM}\times\text{HCF} = a\times b
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  10. 10.
    Quantitative Aptitude

    Find the compound interest on £4,000 at 20% per annum compounded annually for 2 years.

    Formula:Compound Interest
    A=P(1+R100)TA = P\left(1+\dfrac{R}{100}\right)^{T}
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  11. 11.
    Mathematics

    Find term number 4 of a geometric progression with first term 2 and common ratio 3.

    Formula:GP nth Term
    an=arn1a_n = a\,r^{\,n-1}
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  12. 12.
    Quantitative Aptitude

    A vehicle covers 285 km in 5 hours. Find its average speed.

    Formula:Speed, Distance & Time
    Speed=DistanceTime\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}
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  13. 13.
    Quantitative Aptitude

    Find the HCF and LCM of 29 and 23.

    Formula:LCM & HCF
    LCM×HCF=a×b\text{LCM}\times\text{HCF} = a\times b
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  14. 14.
    Quantitative Aptitude

    A can finish a job in 11 days and B in 13 days. Working together, how long will they take?

    Formula:Time & Work (combined)
    T=xyx+yT = \dfrac{xy}{x+y}
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  15. 15.
    Quantitative Aptitude

    Divide £660 between two people in the ratio 6:4. How much does each receive?

    Formula:Sharing in a Ratio
    Share=Total×partsum of parts\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}
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  16. 16.
    Quantitative Aptitude

    What is 40% of 1,200?

    Formula:Percentage of a Number
    Value=P100×N\text{Value} = \dfrac{P}{100}\times N
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  17. 17.
    Quantitative Aptitude

    A vehicle covers 168 km in 4 hours. Find its average speed.

    Formula:Speed, Distance & Time
    Speed=DistanceTime\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}
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  18. 18.
    Mathematics

    Find the sum of the first 3 terms of a GP with first term 6 and common ratio 2.

    Formula:GP Sum of n Terms
    Sn=arn1r1S_n = a\,\dfrac{r^{n}-1}{r-1}
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  19. 19.
    Mathematics

    Find the sum of the first 19 terms of an AP with first term 9 and common difference 4.

    Formula:AP Sum of n Terms
    Sn=n2[2a+(n1)d]S_n = \dfrac{n}{2}\,[2a+(n-1)d]
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  20. 20.
    Quantitative Aptitude

    Find the HCF and LCM of 11 and 32.

    Formula:LCM & HCF
    LCM×HCF=a×b\text{LCM}\times\text{HCF} = a\times b
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