Approximate the square root to the nearest integer.
√18
4
100
Approximate the square root to the nearest integer.
-√78
-9
100
Approximate the square root to the nearest integer.
-√39
-6
100
Approximate the square root to the nearest integer.
√60
8
100
What is Ms. Cho's mother's maiden name?
Choi
200
When are the dates for the experience tour in May?
27th, 28th, and 29th
200
Simplify the expression.
√350
5√14
200
Simplify the expression.
√(48/49)
(4√3)/7
200
Simplify the expression.
√(29a/100)
√(29a) / 10
200
Simplify the expression.
√(8/n^2)
2√2 / n
300
Find the unknown length in a right triangle. Write your answer in simplest form.
a = 12, b = 16, c = ?
c = 20
300
What are the two countries with the strongest passport power?
United States & United Kingdom
300
Find the unknown length in a right triangle. Write your answer in simplest form.
a = ?, b = 24, c = 26
a = 10
300
Order the numbers from least to greatest. (You may use a calculator.)
19/6, -√18, √20, -5.01
-5.01, -√18, 19/6, √20
300
Find the distance between points A(9, 10) and B(6, 6), and find the midpoint M of segment AB. (You may use a calculator.)
Distance = 5
Midpoint = (7.5, 8)
400
Find the values of x and y in a special right triangle. Write your answers in simplest form. (See the drawing.)
x = 11
y = 11√2
400
Find the values of x and y in a special right right triangle. Write your answers in simplest form. (See the drawing.)
x = 9√3
y = 9
400
In ∆PQR with right angle at R, ∠P has a measure of 72˚. The leg adjacent to ∠P has a length of 8 units. Find the length of the leg opposite ∠P to the nearest tenth. (You may use a calculator.)
24.6 units
400
How many Fridays, Saturdays, and Sundays are in May?
5 Fridays,
5 Saturdays,
5 Sundays
400
Find the value of b in ∆ABC. Round the the nearest tenth. (See the drawing and you may use a calculator.)
11.5
500
Find the value of a in ∆ABC. Round to the nearest tenth. (See the drawing and you may use a calculator.)
9.6
500
In 432 B.C., part of the Greek city of Olynthus was divided into rectangular city blocks measuring 120 feet by 300 feet, To the nearest foot, what is the diagonal distance across each city blocks? (You may use a calculator.)
323 feet
500
Find the midpoint M of the segment with endpoints A(-2, 3) and B(4, 6). (You may use a calculator.)
M(1, 4.5)
500
Find the distance between the points P(-6, -2) and Q(-2, 1). (You may use a calculator.)
5 units
500
Many boats have a lightning protection system that includes a mast or other metal pole extending above the vessel. The pole and all the larger metal parts of the boat are connected to form a path along with electricity can be conducted to the water. The system forms a "cone of protection" extending 60˚ around the tip of the pole. How far does the cone extend from the mast at water level? Give your answer to the nearest foot. (You may use a calculator.)