Problem

Answer

Factor completely the expression 2x^3 + 5x^2 + 3x.

x(x+1)(2x+3)

In rolling a pair of dice, what is the probability of getting a sum of 5 or 6?

1/4

The area of an equilateral triangle is 9(sqrt3) square cm. What is its perimeter in centimeters?

18

If a*b=sqrt(a^2 + b^2), what is the value of (3*4)*12?

13

Suppose that x, y, and z are positive integers such that xy=6, xz=10, and yz=15. What is the value of xyz?

30

The yearly changes in the population of a certain town for two consecutive years are 20% increase on the first year and 20% on the second year. What is the net change increase in percent over the twoyear period?

44

The area of a triangle is 200 sq. cm. What will be its area if its altitude is increased by 10% and its base is decreased by 10%?

198

In a university, 60% of the students are female and 700 of the students are male. How many students are there in all?

1750

How many degrees does the minute hand rotate from 6:10 PM to 7:45 PM of the same day?

570

Simplify: (103 x 97)  (106 x 94).

27

A fair coin is tossed five times. What is the probability of getting exactly three heads?

5/16

Three polygons fit exactly together around a point on a plane surface. One is a square and another is a hexagon. How many sides does the third polygon have?

12

Interestingly, it is true that (3!)(5!)(7!) is equal to n!. What is n?

10

If today is Tuesday, what day of the week will it be after (2019)(2018)(2017) days?

Monday

Four men working for four days can paint 4 cars. How many cars can 6 men working for 6 days paint?

9

The lengths of the sides of a triangle are 10, 17 and 21 cm. How many centimeters is the altitude of the triangle to the longest side? Express your answer in decimal.

16.8

The product od three consecutive positive integers is 21 times their sum. What is the sum of the three numbers?

24

Given that the diagonal of a rectangle is 9 cm and its area is 44 sq. cm, compute for its perimeter.

26

Find the maximum value of k so that the radius of the circle x^2 + y^2  kx + 4y + 9 = 0 is equal to 4.

8

Find the sum of all 3digit odd positive integers.

227500
