List of practice Questions

Find the percentage change in the volume of a cylinder.
1. The diameter is increased by 20%.
2. The height is increased by 21%.
Find the area of a right angle triangle whose base is 12 inches.
1. The hypotenuse is 13 inches.
2. The perpendicular height of the triangle is one less than half its base.
Is the number a prime number?
1. The number is divisible by a prime factor.
2. The number is positive.
Adam has bought a certain number of apples. Jen has bought 5 times the fruit that Adam has bought. If Jen has bought two and a half dozen apples how many apples does Adam have?
What would be the circumference of a circle that has been inscribed in a square of area 5.
What could be the possible value of 'y' after the intersection of points y= -x² + 3 and y= x² - 5
A house is built by 20 workers in 30 days. How many workers will be needed to complete the work in 15 days?
Master Chef Alan makes a dish every day from one of his recipe books. He has written 3 books and each book contains 15 different recipes. What is the probability that he will cook 4th dish from 3rd book today?
Two pipes supply waters to a cistern whose capacity of 15 cubic feet. How long does it take the two pipes to fill the cistern?
1. The first pipe supplies water at a rate (per minute) that is thrice faster than the second pipe.
2. The pipes fill 8 cubic feet of the tank in ten minute.
Is 2x + 1 $>$ 0.
1. x is an integer
2. $|x| < 1.5$
Two numbers 12 and t are two positive numbers with some similar properties. What is the value of t.
1. The Least Common Multiple of the two numbers is 48.
2. The Greatest Common multiple of the two numbers is 4.
A square PQRS is enclosed in another square ABCD. Find the ratio of the area of PQRS to the area of ABCD.

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What is the ratio of the area of triangle ABC to the area of square ADFC if CB=(CF)/4?

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If the product of two integers x and y is less than 82 with y being a multiple of three. What is the highest value that x may have?
Adam is 2 years older than Mike. The square of Adam's age is 28 greater than the square of Mike's age in years. What is the sum of Adam's age and Mike's age?
Are the two lines L1 and L2 parallel?
1. Both lines lie in the first, second and fourth quadrants.
2. The y intercepts of the lines L1 and L2 are 8 and 4 respectively.
s, p and q are interior angles of an Isosceles triangle. Find the value of q.
1. s = 72°.
2. p and q are base angles of the triangle.
Is A an obtuse angle?
1. A is more than 90°.
2. A is a supplement of an angle B, an acute triangle.
Determine the value of angle k.
1. Angle k and m lies on a straight line.
2. Angle m = 39°.
A straight line L passes through (2,8) and the origin. Find the equation of a line perpendicular to L.
1. The line passes through the origin.
2. The line passes through (2,-0.5).
The area of a triangle is equal to the area of the rectangle. Find the perimeter of the rectangle.
1. The perimeter of the square is 24 inches.
2. The sum of the length and the width is 13 inches.
A particle moving in air increases its speed within 30 minutes. Find its acceleration.
1. Its initial velocity is 20 miles per hour and its final velocity is 25 miles per hour.
2. The particle increases its speed by 5 miles per hour.
How many girls are members of both the Diving Team and the Swim Team?
(1) At a joint meeting of the Diving and Swim Teams, no members were absent and 18 girls were present.
(2) The Diving Team has 27 members, one-third of whom are girls, and the Swim Team has 24 members, half of whom are girls.
J and K are positive numbers. Is J/K > 1?
(1) JK < 1
(2) J-K > 0
A certain voting bloc has how many voters?
(1) If no additional voters are added to the bloc, and 4 of the current voters leave the bloc, there will be fewer than 20 voters.
(2) If 4 more voters join the bloc and all of the present voters remain, there will be at least 27 voters.