SCAT Quantitative Comparisons: Geometry 3

Question 1

A parallelogram has base 10 and height 6. A triangle has base 15 and height 8. | Quantity A: Area of the parallelogram | Quantity B: Area of the triangle

Accepted Answer

The two quantities are equal

Answer

Parallelogram area = 10×6 = 60; triangle area = ½×15×8 = 60, so both are equal.

Question 2

A square has a side length of 5. | Quantity A: The length of a diagonal of the square | Quantity B: 7

Accepted Answer

Quantity A is greater

Answer

Diagonal = 5√2 ≈ 7.07, which is greater than 7, so Quantity A is greater.

Question 3

An inscribed angle in a circle intercepts an arc of 100°. | Quantity A: The measure of the inscribed angle | Quantity B: 55°

Accepted Answer

Quantity B is greater

Answer

An inscribed angle equals half its intercepted arc: 100°÷2 = 50°, which is less than 55°, so Quantity B is greater.

Question 4

In a right triangle, one acute angle measures 35°. | Quantity A: The other acute angle | Quantity B: The complement of 35°

Accepted Answer

The two quantities are equal

Answer

The other acute angle = 90° − 35° = 55°, which equals the complement of 35°, so both are equal.

Question 5

A regular hexagon has a perimeter of 36. | Quantity A: The side length of the hexagon | Quantity B: 7

Accepted Answer

Quantity B is greater

Answer

A regular hexagon has 6 equal sides: 36÷6 = 6, which is less than 7, so Quantity B is greater.

(SCAT) School and College Ability Test Practice Test

(SCAT) School and College Ability Test Practice Test

SCAT Quantitative Comparisons: Geometry 3