UPCAT Mathematics Practice Questions — Set 2

Question 1

Simplify: (2³)(2⁴)

Accepted Answer

2⁷

Answer

4⁷

Answer

2¹²

Answer

2⁶

Question 2

What is √(144/36)?

Accepted Answer

2

Answer

4

Answer

6

Answer

3

Question 3

Simplify: (x³y⁴)²

Accepted Answer

x⁶y⁸

Answer

x⁵y⁸

Answer

x⁶y⁶

Answer

x⁵y⁶

Question 4

Evaluate: 16^(3/4)

Accepted Answer

8

Answer

6

Answer

4

Answer

12

Question 5

Two complementary angles have measures in the ratio 2:3. What is the measure of the larger angle?

Accepted Answer

54°

Answer

45°

Answer

36°

Answer

60°

Question 6

If two parallel lines are cut by a transversal, and one alternate interior angle measures 65°, what is the measure of its corresponding angle?

Accepted Answer

65°

Answer

25°

Answer

115°

Answer

90°

Question 7

The supplement of an angle is three times the angle itself. What is the measure of the angle?

Accepted Answer

45°

Answer

60°

Answer

50°

Answer

30°

Question 8

In a right triangle, if one acute angle is 35°, what is the measure of the other acute angle?

Accepted Answer

55°

Answer

45°

Answer

50°

Answer

65°

Question 9

A triangle has sides of length 5 cm, 12 cm, and 13 cm. What type of triangle is it?

Accepted Answer

Right triangle

Answer

Equilateral triangle

Answer

Obtuse triangle

Answer

Acute triangle

Question 10

The perimeter of an equilateral triangle is 36 cm. What is the length of one side?

Accepted Answer

12 cm

Answer

9 cm

Answer

15 cm

Answer

18 cm

UPCAT Mathematics Practice Questions — Set 2

Simplify: $(2^{3}) (2^{4})$

What is $\frac{144}{36}$ ?

Simplify: $(x^{3} y^{4})^{2}$

Evaluate: $16^{\frac{3}{4}}$

Two complementary angles have measures in the ratio 2:3. What is the measure of the larger angle?

If two parallel lines are cut by a transversal, and one alternate interior angle measures 65°, what is the measure of its corresponding angle?

The supplement of an angle is three times the angle itself. What is the measure of the angle?

In a right triangle, if one acute angle is 35°, what is the measure of the other acute angle?

A triangle has sides of length 5 cm, 12 cm, and 13 cm. What type of triangle is it?

The perimeter of an equilateral triangle is 36 cm. What is the length of one side?

UPCAT Mathematics Practice Questions — Set 2

Simplify: (23)(24)

What is 36144​​?

Simplify: (x3y4)2

Evaluate: 1643​

Two complementary angles have measures in the ratio 2:3. What is the measure of the larger angle?

If two parallel lines are cut by a transversal, and one alternate interior angle measures 65°, what is the measure of its corresponding angle?

The supplement of an angle is three times the angle itself. What is the measure of the angle?

In a right triangle, if one acute angle is 35°, what is the measure of the other acute angle?

A triangle has sides of length 5 cm, 12 cm, and 13 cm. What type of triangle is it?

The perimeter of an equilateral triangle is 36 cm. What is the length of one side?

Simplify: $(2^{3}) (2^{4})$

What is $\frac{144}{36}$ ?

Simplify: $(x^{3} y^{4})^{2}$

Evaluate: $16^{\frac{3}{4}}$