UPCAT Mathematics Practice Questions — Set 6

Question 1

How many liters of pure alcohol must be added to 20 liters of a 30% alcohol solution to make a 50% solution?

Accepted Answer

8 liters

Answer

12 liters

Answer

6 liters

Answer

10 liters

Question 2

What is the probability of rolling a sum of 7 with two dice?

Accepted Answer

1/6

Answer

1/12

Answer

1/4

Answer

1/3

Question 3

The mean of 5, 8, 10, 12, and x is 9. What is the value of x?

Accepted Answer

10

Answer

9

Answer

8

Answer

12

Question 4

What is the median of the set {3, 7, 9, 12, 15, 18, 21}?

Accepted Answer

12

Answer

15

Answer

10.5

Answer

9

Question 5

Simplify: (x² - 4)/(x + 2)

Accepted Answer

x - 2

Answer

x² - 2

Answer

x - 4

Answer

x + 2

Question 6

What is (3/x) + (2/x)?

Accepted Answer

5/x

Answer

6/x

Answer

3/2x

Answer

5/2x

Question 7

If f(x) = 2x + 3, what is f(5)?

Accepted Answer

13

Answer

11

Answer

10

Answer

15

Question 8

If g(x) = x² - 4x + 1, what is g(3)?

Accepted Answer

-2

Answer

1

Answer

-1

Answer

4

UPCAT Mathematics Practice Questions — Set 6

How many liters of pure alcohol must be added to 20 liters of a 30% alcohol solution to make a 50% solution?

What is the probability of rolling a sum of 7 with two dice?

The mean of 5, 8, 10, 12, and x is 9. What is the value of x?

What is the median of the set {3, 7, 9, 12, 15, 18, 21}?

Simplify: $\frac{x ^{2} - 4}{x + 2}$

What is $(\frac{3}{x}) + (\frac{2}{x})$ ?

If $f (x) = 2 x + 3$ , what is f(5)?

If $g (x) = x^{2} - 4 x + 1$ , what is g(3)?

UPCAT Mathematics Practice Questions — Set 6

How many liters of pure alcohol must be added to 20 liters of a 30% alcohol solution to make a 50% solution?

What is the probability of rolling a sum of 7 with two dice?

The mean of 5, 8, 10, 12, and x is 9. What is the value of x?

What is the median of the set {3, 7, 9, 12, 15, 18, 21}?

Simplify: x+2x2−4​

What is (x3​)+(x2​)?

If f(x)=2x+3, what is f(5)?

If g(x)=x2−4x+1, what is g(3)?

Simplify: $\frac{x ^{2} - 4}{x + 2}$

What is $(\frac{3}{x}) + (\frac{2}{x})$ ?

If $f (x) = 2 x + 3$ , what is f(5)?

If $g (x) = x^{2} - 4 x + 1$ , what is g(3)?