List of practice Questions

If Dave drove one-third of the distance of his trip on the first day, and 60 miles on the second day, he figured out that he still had 1/2 of the trip to drive. What was the total length, in miles, of his trip?
If \(x^2 - y^2 = 48\), then \( \frac{2}{3}(x+y)(x-y) = \)
Eddie is 7 years older than Brian. If Brian is x years old, then how old was Eddie 11 years ago?
Find the perimeter of Isosceles triangle ABC (below) if mAD = 3 and m\(\angle\)BAC = 55 degrees. Round to the nearest hundredth.

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a $<$ b. Is a positive?
1. b = 0.
2. \( \sqrt{a} < a \)
Determine the equation of the circle passing through (-4,-2).
1. (1,-1) lies in the circle.
2. The center of the circle is the origin.
A racecar driver has completed 12 1/2 laps of a 50 lap race. What fractional part of the race remains?
If M is the set of positive multiples of 2 less than 150 and N is the set of positive multiples of 9 less than 150, how many members are there in M \(\cap\) N?
At Bruno's Video World, the regular price for a DVD is d dollars. How many DVDs can be purchased for x dollars when the DVDs are on sale at 20% off the regular price?
Find the direction in which the parabola \( y = ax^2 + bx - 2 \) is facing.
1. a = b
2. a $<$ 0
Find the equation of a line.
1. Its x and y intercept is 2 and -2 respectively.
2. The slope of the line is 1.
Determine the size of an interior angle of the polygon.
1. The ratio of its interior angle to the exterior angle is 2:1.
2. The polygon is a regular hexagon.
Find out if t $<$ 0.
1. \(|t| > t\)
2. \(t^2 > 0\)
Determine the value of t.
1. \(2t + 6s = 8\)
2. \(t/2 - 2 = -3s/4\)
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.