UPCAT 2014 Mathematics Proficiency

If x is equal to 15 more than 3 times y and z is equal to 3 times x, then what is the relationship between y and z?

If k is an odd integer, which of the following is an even integer?

• k^2

• k^2+2

• k^2+2k

• k^2+2k+1

ts 10 cents. For every 1000 pieces of paper purchased, you get 3% discount. How much did you save, if you purchased 5000 pieces of paper?

• P15.00

• P150.00

• P350.00

• P485.00

Find the value of a. a*a*a/(a+a+a)=12

• 6

• 12

• ±6

• ±12

Given a linear function with y-intercept of 3 and passes through (4,-3), find the zero of the function?

• 0

• 2

• 3

• 4

What is the slope of the line whose equation is √2x+√2y=7?

• -√2

• √2/2

• -1

• -√2/2

Which of the following is a function?

• |x+y|=1

• |x|+y=1

• |x|+|y|=1

• x+|y|=1

The ratio of the angles of a certain quadrilateral is 1:2:4:5. What is the measure of the largest angle?

• 110°

• 120°

• 140°

• 150°

ΔPUS is inscribed in circle PQRS such that U is the midpoint of QR. If the length of the diagonal of the square is 2√2, what is the perimeter of ΔPUS?

• 2(√5+1) units

• 5 units

• 1+2√5 units

• 4 units

If z varies jointly as x and square of y, what happens to z if x is quadrupled and y is halved?

• half

• double

• triple

• same