Math Exercise 2

A large pizza has a circumference of Which of the perimeters listed could belong to the smallest box capable of holding a large pizza?

The ages of two brothers can be represented as consecutive even integers. If the younger brother’s age is , which expression represents the age of the older brother?

Simplify

Given the relation . Which of the following values for will make relation A a function?

If is divided by , the quotient is

The heights of all students in grade 9 are arranged from least to greatest. Which statistical measure separates the top half of this set of data from the bottom half? 

The expression is equal to

If one solution to the equation is , what is the value of a?

When solved graphically, which system of equations will have exactly one point of intersection? 

Andy has grades of 84, 65, and 76 on three math tests. What grade must he obtain on the test to have an average of exactly 80 for the four tests? 

What is the equation of the axis of symmetry of the graph ?

What is the value of N in the equation ?

The radian measure of the angle is

What is the slope of the line containing the points and

If ∆ABC is similar to ∆DEF and ∆ABC has a perimeter of 18 cm and a longest side of 8 cm, what is the perimeter of ∆DEF if ∆DEF has a longest side of 6 cm? 

A boat goes downstream a distance of 5 mi in 15 min, but it takes 20 min for the return trip. Find the rate of the boat (mi/hr) in still water. 

A fair two-sided coin has a heads side and tails side. The odds that either side will face up when flipped is exactly . Jeanette flips the coin three times and gets three heads. What is the probability that the coin will land heads up on the next flip?

Ten pints of 15% salt solution are mixed with 15 pints of 10% salt solution. What is the concentration of the resulting solution? 

The expression is equivalent to:

Bus A left a station at 8:00 AM traveling 60 kph east. Two hours later Bus B left the same station traveling 72 kph west. At what time will the buses be 780 km apart? 

Jane can finish a job in 6 hours while David can do the same job in 4 hours. If Jane started half of the job alone and David finished the remaining half, how many hours was the job done? 

If then

The area of a circle whose center is at (0,0) is units. The circle passes through all of the following points EXCEPT:

The smaller leg of a triangle is 20 cm. What is its area, in square centimeters?

The value of is?

Archie can eat a meal 30 minutes. Jughead can eat the same meal in 10 minutes. How long (in minutes) will it take them to eat the meal together?

For and, which of the following is equivalent to

The ratio of the angles of a triangle is 1: 3: 5. What is the measure of the largest angle? 

A spherical balloon is inflated until its volume becomes 27 times its original volume. Which of the following is true? 

Quantity varies directly as the square of and inversely as . What effect on does doubling and tripling have?

A card is drawn from a standard deck of 52 cards. Find the probability that the card is a face card or a red card. 

Solve:

Given

If the terminal side of angle is in quadrant IV, which of the following has a negative value?

If , which of the following is equal to zero?

Which of the following is not true about angle , if ?

The fifth term of an arithmetic progression is 21 and the 11th term is 33. What is the value of its first term? 

Quadrilaterals is a parallelogram with diagonal = 4 units. If is equiangular, the perimeter of the parallelogram is

If a circle is inscribed in a square with side 7, what is the area of the unshaded region? 

If the sum of the terms of an infinite geometric sequence is 3 and its common ratio is , what is its first term?