145 300 610 1230
In the above sequence every term after the first is formed by multiplying by x and then adding y, where x and y are positive integers. What is the value of x + y?
A confectioner has 500 mint, 500 orange and 500 strawberry flavored sweets. He wishes to make packets containing 10 mint, 5 orange and 5 strawberry sweets. What is the maximum number of packets of this type he can make?
If S is the sum of 8,6,4,2 and x, what must be the value of x for x to equal 1/5 S ?
25 per cent of 600 is equal to 15 per cent of what number?
What is the maximum number of points of intersection of four distinct lines in a plane?
If one edge of a 6-inch ruler is to be marked in 1/10 inch units, how many marks will there be on the edge including the 0 and 6 inch marks?
Given that the sum of the odd integers from 1 to 99 inclusive is 2500, what is the sum of the even integers from 2 to 100 inclusive?
In a certain game of 50 questions, the final score is calculated by subtracting twice the number of wrong answers from the total number of correct answers. If a player attempted all questions and received a final score of 35, how many wrong answers did he give?
What positive value for k would make the following the equations of a pair of parallel lines on the same coordinate axes?
y = kx – 2 and ky = 9x – 7
What is the sum of all the positive integer factors of 12?
The average IQ of 4 people is 110. If three of these people each have an IQ of 105, what is the IQ of the fourth person ?
Of 60 students in a class 2/3 are girls, and 2/5 of the class are taking music lessons. What is the maximum number of girls that are not taking music lessons?
One gallon of fuel mixture contains antifreeze in the ratio of 5 parts fuel to one part antifreeze. To this is added half a gallon of mixture which is one third antifreeze and two thirds fuel. What is the ratio of fuel to antifreeze in the final mixture? (Grid your answer as a fraction: fuel/antifreeze)
What is the total surface area of 2 identical cubes which together have a volume of 1458 units?
In a sequence of numbers the first number is 3 and each number after the first is 2 more than 3 times the preceding number. What is the fourth term in the sequence?
If the average of 3 and x is 5, and the average of 5 and y is 7, what is the average of x and y?
A right circular cylinder has a volume of 81π. If the circumference of the base is 6π, what is the height?