GCSE Maths · Practice Sheet 31

1. 1.

   Quantitative Aptitude

   Find the simple interest on £11,000 at 4% per annum for 6 year(s).

   Formula:Simple Interest

   $SI = \dfrac{P\times R\times T}{100}$

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2. 2.

   Quantitative Aptitude

   A invests £6,000 and B invests £4,000 for the same period. If the total profit is £11,000, find A's share.

   Formula:Partnership (profit share)

   $\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$

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3. 3.

   Quantitative Aptitude

   Find the average of these 6 numbers: 66, 45, 31, 82, 44, 61.

   Formula:Arithmetic Mean

   $\bar{x} = \dfrac{\sum x}{n}$

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4. 4.

   Mathematics

   Find the slope of the line through (-5, 0) and (2, 6).

   Formula:Slope of a Line

   $m = \dfrac{y_2-y_1}{x_2-x_1}$

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5. 5.

   Quantitative Aptitude

   In how many ways can 2 objects be chosen from 9 distinct objects? (Find ⁿᴄᵣ for n = 9, r = 2.)

   Formula:Combinations

   $^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$

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6. 6.

   Quantitative Aptitude

   A invests £7,000 and B invests £5,000 for the same period. If the total profit is £29,000, find A's share.

   Formula:Partnership (profit share)

   $\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$

   View formula →
7. 7.

   Quantitative Aptitude

   Find the simple interest on £48,000 at 4% per annum for 4 year(s).

   Formula:Simple Interest

   $SI = \dfrac{P\times R\times T}{100}$

   View formula →
8. 8.

   Quantitative Aptitude

   Find the compound interest on £17,000 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. 9.

   Quantitative Aptitude

   The marked price of an item is £1,500. After a 15% discount, find the selling price.

   Formula:Discount & Selling Price

   $SP = MP\left(1-\dfrac{d}{100}\right)$

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10. 10.

    Mathematics

    For the quadratic 4x² + 5x − 2 = 0, find the sum and product of its roots.

    Formula:Vieta's Formulas (roots)

    $\alpha+\beta=-\dfrac{b}{a},\;\alpha\beta=\dfrac{c}{a}$

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11. 11.

    Quantitative Aptitude

    Find the simple interest on £36,000 at 4% per annum for 4 year(s).

    Formula:Simple Interest

    $SI = \dfrac{P\times R\times T}{100}$

    View formula →
12. 12.

    Mathematics

    In an arithmetic progression with first term 15 and common difference 9, find term number 8.

    Formula:AP nth Term

    $a_n = a + (n-1)d$

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13. 13.

    Mathematics

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

    Formula:GP Sum of n Terms

    $S_n = a\,\dfrac{r^{n}-1}{r-1}$

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14. 14.

    Quantitative Aptitude

    Find the HCF and LCM of 24 and 21.

    Formula:LCM & HCF

    $\text{LCM}\times\text{HCF} = a\times b$

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15. 15.

    Quantitative Aptitude

    The marked price of an item is £900. After a 40% discount, find the selling price.

    Formula:Discount & Selling Price

    $SP = MP\left(1-\dfrac{d}{100}\right)$

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16. 16.

    Mathematics

    Find the distance between the points (0, -5) and (2, 3).

    Formula:Distance Between Two Points

    $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$

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17. 17.

    Quantitative Aptitude

    Divide £1,092 between two people in the ratio 7:5. 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. 18.

    Quantitative Aptitude

    In how many ways can 4 objects be chosen from 8 distinct objects? (Find ⁿᴄᵣ for n = 8, r = 4.)

    Formula:Combinations

    $^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$

    View formula →
19. 19.

    Quantitative Aptitude

    Find the average of these 10 numbers: 42, 49, 86, 22, 62, 70, 84, 44, 79, 82.

    Formula:Arithmetic Mean

    $\bar{x} = \dfrac{\sum x}{n}$

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20. 20.

    Quantitative Aptitude

    A invests £2,000 and B invests £4,000 for the same period. If the total profit is £30,000, find A's share.

    Formula:Partnership (profit share)

    $\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$

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