Algebra
Number of boys in a class is twice the number of girls. 20% of the girls are brunettes and of the rest – half are blondes: Mary, Clara, Gina and Trisha. How many boys study in this class?
20
What is the perimeter of a square that has an area of 25?
20
What is the greatest common factor of 42, 126, and 210?
42
The sides of an equilateral triangle are 12, 4x+4, and 3y-3
Solve for x and y
X=2
Y=5
What is the highest integral value of 'k' for which the quadratic equation x2 - 6x + k = 0 will have two real and distinct roots?
a) 9 b) 7 c) 3 d) 8 e) 12
d) 8
Find x+y, if: 5x+8y=67 and 2x-y=31
14
For what value of 'm' will the quadratic equation x2 - mx + 4 = 0 have real and equal roots?
-4
What is the value of x when 2x + 3 = 3x - 4?
x = 7
Find the curved surface area of a hemisphere whose radius is 14 cm.
1232 cm2
If x and y are non-negative integers such that 4x + 7y = 68, how many values are possible for (x + y)?
3
Peter’s salary is twice Ann’s salary and half of David’s salary. Then the average salary of Ann and David is ______ Peter’s salary.
a)equal to b) larger then c) less then d) cant be determined
b)larger then
If one of the roots of the quadratic equation x2 + mx + 24 = 0 is 1.5, then what is the value of m?
-17.5
When x = 3 and y = 5, by how much does the value of 3x2 – 2y exceed the value of 2x2 – 3y?
14
As the number of sides of a polygon increases from 3 to n, the sum of the exterior angles formed by extending each side in succession:
a) increases b) decreases c) remains constant
d) cant be predicted e) becomes (n-3) straight angles
C) remains constant
Three years back, a father was 24 years older than his son. At present the father is 5 times as old as the son. How old will the son be three years from now?
9 years
Given: a=b+2c, b=3c. What is the average of numbers a, b and c?
3c
What is the volume of a sphere with a diameter of 6
27pie
Sales for a business were 3 million dollars more the second year than the first, and sales for the third year were double the sales for the second year. If sales for the third year were 38 million dollars, what were sales, in millions of dollars, for the first year?
16
A circle with its center at O (8,5) has a point P (-4,-4) on its circumference.
Find the radius
15 units
When Samantha goes jogging, she finishes 2 km south and 3 km west of where she started. Find Samanthas bearing from her starting point
236.3 degrees
If the curve described by the equation y = x2 + bx + c cuts the x-axis at -4 and y axis at 4, at which other point does it cut the x-axis?
-1
What is the area of a regular hexagon with a side of 12cm
374cm2
A local high school is raffling off a college scholarship to the students in its junior class. If a girl has a .55 chance of winning the scholarship, and 154 of the juniors are girls, how many of the juniors are boys?
126
The area of the triangle ABC with the vertices A(-5, 7), B(-4, -5) and C(4, 5) is
53
Find the sum of the 24 largest even numbers less than 159
4344