MATH QUIZ WITH SOPHIA 2

Evaluate $$212_3-121_3+\ 222_3$$ in base 3

If $$5^{\left(2x+y\right)}=5^1\ and\ 4^{\left(x+3y\right)}=4^2.\ Find\ 3^{\left(x+y\right)}$$

Divide $$x^3-2x^2-5x+6\ by\ x-1$$

The angles of a quadrilateral are $$5x-30,\ 4x+60,\ 60-x,\ and\ 3x+61.$$ Find the largest of these angles.

A survey of 100 students in an institution shows that 80 students speak Hausa and 20 students speak Igbo while 9 students speak both languages. How many students do not speak either if the two languages?

The sum of two numbers is twice their difference. If the difference of the numbers is P, find the larger of the two numbers.

A variable y is inversely proportional to the square of x, when y = 10, x = 2. Find y, when x = 10.

At what rate would a sum of #10,000 deposited for 10 years raise a simple interest of #1,500?

Arrange $$\frac{2}{3},\ \frac{11}{13},\ \frac{5}{6},\ \frac{1}{2},\ \&\ \frac{3}{5}$$ in ascending order

If selling an article for #81, a trader makes a profit of 8%, determine the cost price of the article.