ECT MATHEMATICS Flashcards
What is the solution to the equation 2x + 5 = 17?
x = 8
x = 7
x = 12
x = 6
x = 6
If 3x - 8 = 10, what is the value of x?
x = 6.5
x = 6
x = 4
x = 3
x = 6
What is the volume of a triangular prism with a triangular base of area 14 square units and a height of 6 units?
72 cubic units
48 cubic units
84 cubic units
42 cubic units
84 cubic units
If an angle measures 220 degrees, what type of angle is it?
Reflex
Acute
Obtuse
Right
Reflex
Simplify the expression i to the power of 105.
i
-i
-1
1
i
If a location follows UTC+3 and it is 12:30 UTC, what time is it there?
09:30
14:30
10:30
15:30
15:30
What is the name of a shape with five sides?
Pentagon
Hexagon
Octagon
Heptagon
Pentagon
What shape has opposite sides parallel and equal in length?
Parallelogram
Rhombus
Trapezoid
Rectangle
Parallelogram
What are the fixed points inside an ellipse, such that the sum of the distances from any point on the ellipse to these points is constant?
Axis
Foci
Center
Vertices
Foci
A fruit salad requires a mix of 3 different fruits from a selection of 4. How many combinations of fruits can be used?
8
10
4
12
4
What is an angle that measures 360 degrees called?
Straight angle
Reflex angle
Perigon
Right angle
Perigon
What property states that the order of elements in an operation doesn’t affect the result?
The Distributive Property
The Commutative Property
The Identity Property
The Associative Property
The Commutative Property
Solve for y if 2y + 5 = 19.
x = 14
x = 10
x = 7
x = 21
x = 7
What is a three-sided polygon called?
Triangle
Pentagon
Hexagon
Quadrilateral
Triangle
Simplify the expression 3(x + 4) - 2(2x - 1).
x + 11
5x - 11
-x + 14
7x + 5
-x + 14
Which shape is characterized by being perfectly round in three dimensions?
Cylinder
Cone
Sphere
Prism
Sphere
If 18 workers can paint a house in 12 days, how many days will it take for 12 workers to paint the same house?
16 days
24 days
20 days
18 days
18 days
The base of a triangle is 8 cm, and its height is 6 cm. Find the area of the triangle.
24 sq. cm
16 sq. cm
32 sq. cm
12 sq. cm
24 sq. cm
A book originally priced at $60 is sold at a 40% discount. How much is discounted from the original price?
$24
$18
$20
$12
$24
Which property states that any number added to zero remains unchanged?
The Commutative Property
The Associative Property
The Distributive Property
The Identity Property
The Identity Property
If five years ago, Sarah was three times the age of David, and the sum of their ages is 50 now, how old is Sarah?
35 years old
What is the sum of the interior angles of a nonagon?
1440 degrees
1620 degrees
1260 degrees
1800 degrees
1260 degrees
An angle that is formed by two rays in opposite directions and measures 0 degrees is called a:
Perigon
Zero angle
Reflex angle
Straight angle
Zero angle
In how many ways can a committee of 3 people be chosen from a group of 5 people?
15
20
10
5
10
What is a polygon with equal sides and equal angles called?
Concave polygon
Irregular polygon
Regular polygon
Convex polygon
Regular polygon
A box contains 6 chocolates, 4 of which are dark chocolate. If two chocolates are chosen randomly, what is the probability of selecting two dark chocolates consecutively without replacement?
1/6
1/12
2/5
1/8
2/5
What theorem is used to determine the length of the diagonal of a rectangular solid with sides of lengths a, b, and c?
Heron’s formula
Pythagorean theorem
Law of Sines
Euler’s formula
Pythagorean theorem
What type of triangle has all sides of equal length?
Scalene triangle
Equilateral triangle
Right-angled triangle
Isosceles triangle
Equilateral triangle
Which shape has four equal sides and opposite angles equal but not 90 degrees?
Parallelogram
Rhombus
Rectangle
Square
Rhombus
Solve for x in the equation x^2 + 5x + 6 = 0.
x = 1 or x = 6
x = 2 or x = 3
x = -2 or x = -3
x = -1 or x = -6
x = -2 or x = -3
Which type of angle measures exactly 90 degrees?
Obtuse angle
Straight angle
Right angle
Acute angle
Right angle
Which theorem connects the concepts of differentiation and integration?
The Limit Theorem
The Fundamental Theorem of Calculus
The Intermediate Value Theorem
The Mean Value Theorem
The Fundamental Theorem of Calculus
What is a solid with two parallel and congruent bases connected by rectangular faces?
Prism
Cone
Pyramid
Cylinder
Prism
