[4] MOCK MATH WEST 2022 | ALWIUT REAL SCIENCE

Plant A is currently 20 centimeters tall, and Plant B is currently 12 centimeters tall. The ratio of the heights of Plant A to Plant B is equal to the ratio of the heights of Plant C to Plant D. If Plant C is 54 centimeters tall, what is the height of Plant D, in centimeters?

• 32.4

• 44.0

• 62.0

• 90.0

In the xy-plane above, the circle has center (h, k) and radius 10. What is the value of k ?

(a)  

In the xy-plane, line m has a y-intercept of −13 and is perpendicular to the line with equation y= −2/3x. If the point (10,b) is on line m, what is the value of b?

(a)  

Which of the following lists correctly orders the lines in the figure above according to their slopes, from least to greatest?

• R,T,S,U

• S,U,R,T

• S,R,U,T

• U,S,R,T

If segment AD is a diameter of the circle shown above, and the length of arc CD is π, what is the area of the shaded region?

Use 3.14 to approximate π and round your answer to the nearest tenth.

(a)  

A man walks at a rate of 10 mph. After every ten miles, he rests for 6 minutes. How much time does he take to walk 50 miles?

• 300

• 318

• 322

• 324

• 330

A system of equations is as shown below

x + l = 6

x – m = 5

x + p = 4

x – q = 3

What is the value of l + m + p + q ?

• 2

• 3

• 4

• 5

• 6

In a class, 10% of the girls have blue eyes, and 20% of the boys have blue eyes. If the ratio of girls to boys in the class is 3 : 4, then what is the fraction of the students in the class having blue eyes?

• 11/70

• 11/45

• 14/45

• 12/33

• 23/49

The selling price of 15 items equals the cost of 20 items. What is the percentage profit earned by the seller?

• 15

• 20

• 25

• 33.3

• 40

In the figure to the right, O is both the center of the circle with radius 2 and a vertex of the square OPRS. What is the length of diagonal PS ?

• $\frac{1}{2}$

• $\sqrt{\frac{2}{4}}$

• $4$

• $2$

• $2\sqrt{5}$