View solutions
FormulaWon

TMUA · Practice Sheet 12

Sheet code: TMUA-S12 · 20 questions

Name: ______________
Date: ______________
  1. 1.
    Mathematics

    Find the distance between the points (-3, 7) and (6, 1).

    Formula:Distance Between Two Points
    d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}
    View formula →
  2. 2.
    Mathematics

    If f(x) = 5x³ + 4x² + 3x, find f′(3).

    Formula:Derivative of a Polynomial
    ddxxn=n x n−1\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}
    View formula →
  3. 3.
    Quantitative Aptitude

    A value changes from 600 to 360. Find the percentage decrease.

    Formula:Percentage Change
    % change=∣new−old∣old×100\%\,\text{change} = \dfrac{|new-old|}{old}\times 100
    View formula →
  4. 4.
    Quantitative Aptitude

    In how many ways can 3 objects be arranged out of 7 distinct objects? (Find ⁿᴘᵣ for n = 7, r = 3.)

    Formula:Permutations
    nPr=n!(n−r)!^{n}P_{r} = \dfrac{n!}{(n-r)!}
    View formula →
  5. 5.
    Mathematics

    Find the distance between the points (-7, 0) and (8, 2).

    Formula:Distance Between Two Points
    d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}
    View formula →
  6. 6.
    Quantitative Aptitude

    A vehicle covers 423 km in 9 hours. Find its average speed.

    Formula:Speed, Distance & Time
    Speed=DistanceTime\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}
    View formula →
  7. 7.
    Quantitative Aptitude

    In how many ways can 3 objects be arranged out of 8 distinct objects? (Find ⁿᴘᵣ for n = 8, r = 3.)

    Formula:Permutations
    nPr=n!(n−r)!^{n}P_{r} = \dfrac{n!}{(n-r)!}
    View formula →
  8. 8.
    Quantitative Aptitude

    A invests £7,000 and B invests £5,000 for the same period. If the total profit is £33,000, find A's share.

    Formula:Partnership (profit share)
    ShareA=Profit×AA+B\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}
    View formula →
  9. 9.
    Quantitative Aptitude

    In how many ways can 3 objects be chosen from 6 distinct objects? (Find ⁿᴄᵣ for n = 6, r = 3.)

    Formula:Combinations
    nCr=n!r! (n−r)!^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}
    View formula →
  10. 10.
    Quantitative Aptitude

    Find the average of these 6 numbers: 41, 72, 59, 79, 29, 67.

    Formula:Arithmetic Mean
    xˉ=∑xn\bar{x} = \dfrac{\sum x}{n}
    View formula →
  11. 11.
    Quantitative Aptitude

    In how many ways can 2 objects be arranged out of 5 distinct objects? (Find ⁿᴘᵣ for n = 5, r = 2.)

    Formula:Permutations
    nPr=n!(n−r)!^{n}P_{r} = \dfrac{n!}{(n-r)!}
    View formula →
  12. 12.
    Quantitative Aptitude

    A invests £4,000 and B invests £6,000 for the same period. If the total profit is £13,000, find A's share.

    Formula:Partnership (profit share)
    ShareA=Profit×AA+B\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}
    View formula →
  13. 13.
    Quantitative Aptitude

    In how many ways can 3 objects be chosen from 8 distinct objects? (Find ⁿᴄᵣ for n = 8, r = 3.)

    Formula:Combinations
    nCr=n!r! (n−r)!^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}
    View formula →
  14. 14.
    Mathematics

    Find the distance between the points (0, -6) and (2, 4).

    Formula:Distance Between Two Points
    d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}
    View formula →
  15. 15.
    Quantitative Aptitude

    Find the average of these 6 numbers: 65, 44, 77, 63, 88, 27.

    Formula:Arithmetic Mean
    xˉ=∑xn\bar{x} = \dfrac{\sum x}{n}
    View formula →
  16. 16.
    Quantitative Aptitude

    Find the simple interest on £11,000 at 12% per annum for 3 year(s).

    Formula:Simple Interest
    SI=P×R×T100SI = \dfrac{P\times R\times T}{100}
    View formula →
  17. 17.
    Mathematics

    If f(x) = 3x³ + 4x² + 3x, find f′(3).

    Formula:Derivative of a Polynomial
    ddxxn=n x n−1\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}
    View formula →
  18. 18.
    Mathematics

    Find the binomial coefficient C(8, 4) — the coefficient of x^4 in (1 + x)^8.

    Formula:Binomial Coefficient
    (nr)=n!r! (n−r)!\binom{n}{r} = \dfrac{n!}{r!\,(n-r)!}
    View formula →
  19. 19.
    Quantitative Aptitude

    An item is bought for £700 and sold for £770. Find the profit percentage.

    Formula:Profit Percentage
    Profit%=SP−CPCP×100\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100
    View formula →
  20. 20.
    Quantitative Aptitude

    The marked price of an item is £1,900. After a 50% discount, find the selling price.

    Formula:Discount & Selling Price
    SP=MP(1−d100)SP = MP\left(1-\dfrac{d}{100}\right)
    View formula →

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

Go to full solutions for this sheet