Areas and volumes
What is the volume of a cube with side 5
125
A die is rolled. What is the probability of getting an even number ?
1/2
if 3x+2= 14, find x.
4
How many radians is 60 degrees ?
pi/3 radians
What is the line meeting a circle at two points called ?
A chord
What is the area of a sector with the angle of 90 degrees, in the circle with diameter 20.
25 pi
A coin is tossed twice. What is the probability of getting at least one head ?
3/4
If 2x +3y = 12 and x-y=1, find x and y.
x=3 and y=2
Find area of a sector with radius 6 and angle 60 degrees.
6 pi
What is the multiplicative identity ?
1
A sphere of radius 6 is cut in half. What is the volume of one hemisphere ?
144 pi
A bag contains 4 red, 5 green and 1 blue ball. One ball is drawn. What is the probability that it is not green ?
1/2
Find equation of the line passing through (0,5) and slope 2.
y=2x+5
If arc length = 15 and radius = 5, find the angle in radians.
3 radians
What is the sequence where each term differs by the same constant called ?
Arithmetic progression
9 underroot 3
1/9
Find the point of intersection of y=2x+3 and 3y-x=5
(-4,-5)
The sector area = 60 and radius = 6. Find the angle in radians.
1.67 radians
What do we call a matrix with equal rows and columns ?
Square matrix
What is the volume of a frustum with top radius 3, bottom radius 5 and height 10 ?
163.3 pi
Two dice are rolled. What is the probability that the sum is greater than 10.
1/6
A line passes through (0,4) and (2,0). Find its equation.
y = -2x+4
An arc length is 40 and radius is 20. Find the angle in degrees.
144.6 degrees
What is the line joining centre of a circle to midpoint of chord ?
Perpendicular bisector of chord