Probability and Stats
Geometry
HARD CATEGORY
Algebra
Basic Skills
100
Out of 300 students in a school, 95 play cricket only, 120 play football only, 80 play volleyball only and 5 play no games. If one student is chosen at random, find the probability that he plays volleyball.
Number of times a volleyball player can be chosen/Total number of trials
80/300
Answer: 4/15
100
If a square is divided into 4 angles, and those angles are equal, what must be the measure of each angle.
90 degrees
100
In a geometric sequence in which all of the terms are positive, the second term is 2 and the fourth term is 10. What is the value of the seventh term in the sequence?
500 pi 5
100
Evaluate: 30 - 12รท3ร2
22
100
Tony plans to put a rectangular perimeter of fencing around his backyard pool. The area to be sectioned off for the pool area measures 22 feet by 30 feet. One long side of the pool area is along the house, so he only needs to fence off 3 sides. How many feet of fencing will he need?
74 feet of fencing
200
A bag contains 8 red balls and some white balls. If the probability of drawing a white ball is half of the probability of drawing a red ball then find the number of white balls in the bag.
4 white balls
200
What is the area of a circle in terms of ฯ, whose diameter is 16 cm?
Area = 64(pi) cm^2
200
What would s have to be so that 
is divisible by (x + 2)?
9
200
- Write as a mathematical inequality:"9 is less than the product of M and N".
- 9 < M ร N
200
Which of the following is equal to the expression below?
(2๐ฅ+2๐ฆ)(2๐ฅโ๐ฆ)
. 4๐ฅ2+2๐ฅ๐ฆโ2๐ฆ2
300
A box contains 90 discs numbered 1 to 90. One disc is drawn at random from the box. What is the probability that is bears a two-digit number?
9/10
300
Find the curved surface area of a hemisphere whose radius is 14 cm.
1232 cm^2
300
Suzanne drove 40 miles to see her aunt and was going 20 mph. It took her 2 hours to get to her auntโs house. Then, she left and drove another 30 miles to the pet store, but this time only drove at 10 mph. If it took Suzanne 3 hours to arrive at the pet store, what was her average speed in miles per hour for the entire car ride from her home to the pet store?
14
300
Simplify: 12x3 - 3(2x3 + 4x -1) - 5x + 7
- 6x^3 -17x + 10
300
What is the product of all possible values of x in the following equation?
|๐ฅโ10|=3
91
400
The blood group of 60 students of a class recorded as below.
Blood Group
A
B
AB
O
Number of Students
12
20
10
18
What is the probability that the selected student has blood group O?
3/10
400
Find the volume of a cone in terms ฯ, whose radius is 3 cm and height is 4 cm.
12ฯ cm^3
400
Let x and y be nonzero real numbers such that 2(y+1)=2x. Which of the following expresses 2(y+2)in terms of x?
4x
400
Find the slope of the line perpendicular to the line y = (1/3)x - 7
-3
400
[6ร(โ24)+8]โ(โ4)+[4ร5]รท2=?
-122
500
A box contains 90 discs numbered 1 to 90. One disc is drawn at random from the box. What is the probability that is bears a number divisible by 3 and 5.
1/15
500
The sides of a triangle are 5, 12 & 13 units. Check if it has a right angle or not.
The angle opposite to the 13 units side will be a right angle.
500
The function values for p(x) vary directly as x for all real numbers. Which of the following best describes the graph of y = p(x) in the standard (x,y) coordinate plane?
A line with a y intercept of 0
500
What is the slope of a line perpendicular to the line x = -3?
0
500
What is the median of these numbers? 2, 27, 28, 19, 67, 44, 35
28