View solutions
FormulaWon

SAT · Practice Sheet 4

Sheet code: SAT-S04 · 20 questions

Name: ______________
Date: ______________
  1. 1.
    Mathematics

    Find the distance between the points (-3, -1) and (-7, 8).

    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.
    Quantitative Aptitude

    Two fair dice are rolled. What is the probability that the sum of the numbers is 6?

    Formula:Probability (two dice)
    P=favourabletotalP = \dfrac{\text{favourable}}{\text{total}}
    View formula →
  3. 3.
    Mathematics

    Find the binomial coefficient C(10, 2) — the coefficient of x^2 in (1 + x)^10.

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

    Divide AED 990 between two people in the ratio 2:3. 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}}
    View formula →
  5. 5.
    Quantitative Aptitude

    A invests AED 7,000 and B invests AED 6,000 for the same period. If the total profit is AED 31,000, find A's share.

    Formula:Partnership (profit share)
    ShareA=Profit×AA+B\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}
    View formula →
  6. 6.
    Quantitative Aptitude

    Find the average of these 10 numbers: 64, 85, 36, 74, 64, 31, 76, 20, 35, 54.

    Formula:Arithmetic Mean
    xˉ=∑xn\bar{x} = \dfrac{\sum x}{n}
    View formula →
  7. 7.
    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 →
  8. 8.
    Mathematics

    In an arithmetic progression with first term 20 and common difference 5, find term number 5.

    Formula:AP nth Term
    an=a+(n−1)da_n = a + (n-1)d
    View formula →
  9. 9.
    Quantitative Aptitude

    Find the compound interest on AED 2,000 at 10% per annum compounded annually for 2 years.

    Formula:Compound Interest
    A=P(1+R100)TA = P\left(1+\dfrac{R}{100}\right)^{T}
    View formula →
  10. 10.
    Quantitative Aptitude

    An item is bought for AED 800 and sold for AED 1,000. Find the profit percentage.

    Formula:Profit Percentage
    Profit%=SP−CPCP×100\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100
    View formula →
  11. 11.
    Quantitative Aptitude

    A value changes from 400 to 380. Find the percentage decrease.

    Formula:Percentage Change
    % change=∣new−old∣old×100\%\,\text{change} = \dfrac{|new-old|}{old}\times 100
    View formula →
  12. 12.
    Quantitative Aptitude

    Divide AED 1,272 between two people in the ratio 7:5. 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}}
    View formula →
  13. 13.
    Quantitative Aptitude

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

    Formula:Time & Work (combined)
    T=xyx+yT = \dfrac{xy}{x+y}
    View formula →
  14. 14.
    Quantitative Aptitude

    Two fair dice are rolled. What is the probability that the sum of the numbers is 9?

    Formula:Probability (two dice)
    P=favourabletotalP = \dfrac{\text{favourable}}{\text{total}}
    View formula →
  15. 15.
    Quantitative Aptitude

    The sum of the ages of two people is 37 years, and one is 9 years older than the other. Find their ages.

    Formula:Ages (linear equations)
    x+(x+d)=Sx + (x+d) = S
    View formula →
  16. 16.
    Mathematics

    Find the distance between the points (-7, -4) and (-2, -5).

    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 →
  17. 17.
    Mathematics

    Find the sum of the first 8 terms of an AP with first term 19 and common difference 2.

    Formula:AP Sum of n Terms
    Sn=n2 [2a+(n−1)d]S_n = \dfrac{n}{2}\,[2a+(n-1)d]
    View formula →
  18. 18.
    Quantitative Aptitude

    A vehicle covers 189 km in 3 hours. Find its average speed.

    Formula:Speed, Distance & Time
    Speed=DistanceTime\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}
    View formula →
  19. 19.
    Quantitative Aptitude

    Find the average of these 8 numbers: 37, 47, 42, 23, 68, 79, 59, 73.

    Formula:Arithmetic Mean
    xˉ=∑xn\bar{x} = \dfrac{\sum x}{n}
    View formula →
  20. 20.
    Mathematics

    In an arithmetic progression with first term 2 and common difference 4, find term number 13.

    Formula:AP nth Term
    an=a+(n−1)da_n = a + (n-1)d
    View formula →

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

Go to full solutions for this sheet