GCSE Maths · Practice Sheet 41

1. 1.

   Quantitative Aptitude

   The marked price of an item is £400. After a 30% discount, find the selling price.

   Formula:Discount & Selling Price

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

   View formula →
2. 2.

   Mathematics

   If f(x) = 2x³ + 4x² + 7x, find f′(4).

   Formula:Derivative of a Polynomial

   $\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$

   View formula →
3. 3.

   Quantitative Aptitude

   A can finish a job in 16 days and B in 5 days. Working together, how long will they take?

   Formula:Time & Work (combined)

   $T = \dfrac{xy}{x+y}$

   View formula →
4. 4.

   Mathematics

   Find the sum of the first 4 terms of a GP with first term 6 and common ratio 2.

   Formula:GP Sum of n Terms

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

   View formula →
5. 5.

   Quantitative Aptitude

   A invests £3,000 and B invests £3,000 for the same period. If the total profit is £31,000, find A's share.

   Formula:Partnership (profit share)

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

   View formula →
6. 6.

   Mathematics

   Find the distance between the points (-2, -1) and (3, 6).

   Formula:Distance Between Two Points

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

   View formula →
7. 7.

   Mathematics

   Find the slope of the line through (6, 0) and (5, -4).

   Formula:Slope of a Line

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

   View formula →
8. 8.

   Quantitative Aptitude

   Find the HCF and LCM of 39 and 24.

   Formula:LCM & HCF

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

   View formula →
9. 9.

   Quantitative Aptitude

   The marked price of an item is £1,000. After a 5% discount, find the selling price.

   Formula:Discount & Selling Price

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

   View formula →
10. 10.

    Quantitative Aptitude

    Find the average of these 8 numbers: 84, 51, 30, 42, 72, 27, 44, 70.

    Formula:Arithmetic Mean

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

    View formula →
11. 11.

    Mathematics

    Find the distance between the points (0, -2) and (0, -7).

    Formula:Distance Between Two Points

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

    View formula →
12. 12.

    Quantitative Aptitude

    In how many ways can 2 objects be arranged out of 6 distinct objects? (Find ⁿᴘᵣ for n = 6, r = 2.)

    Formula:Permutations

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

    View formula →
13. 13.

    Quantitative Aptitude

    Divide £2,046 between two people in the ratio 4:7. How much does each receive?

    Formula:Sharing in a Ratio

    $\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}$

    View formula →
14. 14.

    Mathematics

    If f(x) = 3x³ + 3x² + 7x, find f′(5).

    Formula:Derivative of a Polynomial

    $\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$

    View formula →
15. 15.

    Quantitative Aptitude

    A can finish a job in 15 days and B in 19 days. Working together, how long will they take?

    Formula:Time & Work (combined)

    $T = \dfrac{xy}{x+y}$

    View formula →
16. 16.

    Quantitative Aptitude

    What is 30% of 1,060?

    Formula:Percentage of a Number

    $\text{Value} = \dfrac{P}{100}\times N$

    View formula →
17. 17.

    Quantitative Aptitude

    Divide £620 between two people in the ratio 6:4. How much does each receive?

    Formula:Sharing in a Ratio

    $\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}$

    View formula →
18. 18.

    Quantitative Aptitude

    In how many ways can 4 objects be arranged out of 9 distinct objects? (Find ⁿᴘᵣ for n = 9, r = 4.)

    Formula:Permutations

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

    View formula →
19. 19.

    Mathematics

    Find the sum of the first 7 terms of a GP with first term 5 and common ratio 2.

    Formula:GP Sum of n Terms

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

    View formula →
20. 20.

    Mathematics

    Evaluate log base 3 of 27.

    Formula:Logarithm Evaluation

    $\log_{b}(b^{k}) = k$

    View formula →

© FormulaWon — formulawon.app · Answers & step-by-step working available on the solutions sheet.