1. 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?

2. 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?

3. 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 ?

4. 25 per cent of 600 is equal to 15 per cent of what number?

5. What is the maximum number of points of intersection of four distinct lines in a plane?

6. 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?

7. If the area of the right triangle above is 72, what is the value of x?

8. 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?

9. 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?

10. 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

10 questions

12 minutes

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