Take this Quiz: Mathematics 1 — breadth, trigonometry and no formula sheet | Zestly

Question 1

A rectangle has a length of 12 centimeters and a width of 8 centimeters. If the length is increased by 25 percent and the width is decreased by 25 percent, what is the change in the area of the rectangle in square centimeters?

Accepted Answer

6

Answer

0

Answer

9

Answer

12

Question 2

If $\sin(	heta) = \frac{3}{5}$ and $	heta$ is in the first quadrant, what is the value of $\cos(	heta)$?

Accepted Answer

$\frac{4}{5}$

Answer

$\frac{2}{5}$

Answer

$\frac{3}{5}$

Answer

$\frac{5}{4}$

Question 3

A car travels at a constant speed of 60 miles per hour. How many feet per second is this speed? (Note: 1 mile = 5280 feet)

Accepted Answer

88

Answer

92

Answer

100

Answer

110

Question 4

Which of the following functions represents a graph with an amplitude of 3 and a period of $\pi$?

Answer

$y = 3\sin(x)$

Answer

$y = 3\sin(2x)$

Answer

$y = 2\sin(3x)$

Answer

$y = 3\sin(x/2)$

Question 5

If $f(x) = 2x^2 - 5x + 3$, what is the value of $f(x+1)$?

Answer

$2x^2 - x$

Answer

$2x^2 + 4x + 10$

Answer

$2x^2 - 5x + 4$

Answer

$2x^2 + 3x + 1$

Question 6

In triangle $ABC$, side $a = 5$, side $b = 7$, and the angle $C$ between those two sides measures $60^\circ$. What is the length of side $c$?

Answer

$\sqrt{74}$

Answer

$12$

Answer

$\sqrt{109}$

Answer

$\sqrt{39}$

Question 7

A cylinder has a radius of 3 inches and a height of 10 inches. What is its volume in cubic inches?

Answer

$30\pi$

Answer

$60\pi$

Answer

$90\pi$

Answer

$120\pi$