Geometry
Trigonometry
Algebra
Math Terms
Math Trivia
100
In a 30-60-90 triangle, the length of the hypotenuse is 6. What is the length of the shortest side?
3
100
Find x and H in the right triangle below.
x = 8.1
H = 13
100
What is the value of x when 2x + 3 = 3x - 4?
7
100
What is a closed plane figure with three or more straight sides?
A. Two-Dimensional
B. Circle
C. Symmetrical
D. Polygon
D
100
To what system was Leibnitz referring when he wrote this?
I enclose an attempt to devise a new numerical system. By basing it on the number 2 instead of the number 10 ,i am able to write all numbers in terms of 0 and 1.
The Binary System
200
Which of the following expressions is the closest approximation to the height h, in feet, of the roof truss shown below?
15 tan 20°
15 sin 20°
30 tan 20°
30 sin 20°
30 tan 20°
A
200
BH is perpendicular to AC. Find x the length of BC.
x = 12.3
200
How many irrational numbers are there between 1 and 6?
Infinitely many
200
A _______ is a six-sided polygon
A. Nonagon
B. Pentagon
C. Hexagon
D. Heptagon
C
200
Which ancient Egyptian unit of measurement was set as the distance between the elbow and the tip of the middle finger?
A. cubit
B. stone
C. karat
D. quire
E. parsec
Cubit
300
The figure below is a parallelogram with two angles given in terms of x. Determine the value of x.
x = 22
300
ABC is a right triangle with a right angle at A. Find x the length of DC.
x = 2.69
300
What is the greatest common factor of 42, 126, and 210?
A. 2
B. 6
C. 14
D. 21
E. 42
E
300
Triangle in which all sides have the same length
Equilateral
300
This ancient device was a predecessor of the modern calculating machine and is still widely used in Japan and China. It consists of a set of beads on rods with each rod denoting place value. Name this instrument.
Abacus
400
The geometric figure shown below consists of a square and 4 semicircles. The diameters of the semicircles are the sides of the square, and each diameter is 10 centimeters long. Which of the following is the closest approximation of the total area, in square centimeters, of this geometric figure?
A = 260 cm2
400
In the figure below AB and CD are perpendicular to BC and the size of angle ACB is 31°. Find the length of segment BD.
BD = 13.4
400
When x =3 and y = 5, by how much does the value of 3x2 - 2y exceed the value of 2x2 - 3y?
14
400
The intersection point of two sides of a plane figure
Vertex
400
Archimedes described it as greater than 3 10/71 and less than 3 10/70. Today that number is called...
Pi
500
In the figure below, ∠ ABC ≅ ∠ DFE, ∠ BAC ≅ ∠ FDE, D and F are on AB, AD ≅ FB, and distances in centimeters are as shown. What is the length of AD, in centimeters?
I
2
500
The lengths of side AB and side BC of a scalene triangle ABC are 12 cm and 8 cm respectively. The size of angle C is 59°. Find the length of side AC.
x = 14.0
500
A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would cost for this car to travel 2,727 typical miles?
$408.04
500
A line segment joining two points on a curve
Chord
500
The distance from the North Pole to the equator was measured along an arc of a great circle, and this unit was repeatedly divided by ten until what convenient unit was determined?
The meter