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Review For Board Exam > ECT MATHEMATICS > Flashcards

ECT MATHEMATICS Flashcards

1
Q

What is the solution to the equation 2x + 5 = 17?

x = 8
x = 7
x = 12
x = 6

A

x = 6

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2
Q

If 3x - 8 = 10, what is the value of x?

x = 6.5
x = 6
x = 4
x = 3

A

x = 6

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3
Q

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

A

84 cubic units

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4
Q

If an angle measures 220 degrees, what type of angle is it?

Reflex
Acute
Obtuse
Right

A

Reflex

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5
Q

Simplify the expression i to the power of 105.

i
-i
-1
1

A

i

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6
Q

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

A

15:30

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7
Q

What is the name of a shape with five sides?

Pentagon
Hexagon
Octagon
Heptagon

A

Pentagon

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8
Q

What shape has opposite sides parallel and equal in length?

Parallelogram
Rhombus
Trapezoid
Rectangle

A

Parallelogram

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9
Q

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

A

Foci

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10
Q

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

A

4

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11
Q

What is an angle that measures 360 degrees called?

Straight angle
Reflex angle
Perigon
Right angle

A

Perigon

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12
Q

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

A

The Commutative Property

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13
Q

Solve for y if 2y + 5 = 19.

x = 14
x = 10
x = 7
x = 21

A

x = 7

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14
Q

What is a three-sided polygon called?

Triangle
Pentagon
Hexagon
Quadrilateral

A

Triangle

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15
Q

Simplify the expression 3(x + 4) - 2(2x - 1).

x + 11
5x - 11
-x + 14
7x + 5

A

-x + 14

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16
Q

Which shape is characterized by being perfectly round in three dimensions?

Cylinder
Cone
Sphere
Prism

A

Sphere

17
Q

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

A

18 days

18
Q

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

A

24 sq. cm

19
Q

A book originally priced at $60 is sold at a 40% discount. How much is discounted from the original price?

$24
$18
$20
$12

A

$24

20
Q

Which property states that any number added to zero remains unchanged?

The Commutative Property
The Associative Property
The Distributive Property
The Identity Property

A

The Identity Property

21
Q

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?

A

35 years old

22
Q

What is the sum of the interior angles of a nonagon?

1440 degrees
1620 degrees
1260 degrees
1800 degrees

A

1260 degrees

23
Q

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

A

Zero angle

24
Q

In how many ways can a committee of 3 people be chosen from a group of 5 people?

15
20
10
5

A

10

25
Q

What is a polygon with equal sides and equal angles called?

Concave polygon
Irregular polygon
Regular polygon
Convex polygon

A

Regular polygon

26
Q

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

A

2/5

27
Q

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

A

Pythagorean theorem

28
Q

What type of triangle has all sides of equal length?

Scalene triangle
Equilateral triangle
Right-angled triangle
Isosceles triangle

A

Equilateral triangle

29
Q

Which shape has four equal sides and opposite angles equal but not 90 degrees?

Parallelogram
Rhombus
Rectangle
Square

A

Rhombus

30
Q

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

A

x = -2 or x = -3

31
Q

Which type of angle measures exactly 90 degrees?

Obtuse angle
Straight angle
Right angle
Acute angle

A

Right angle

32
Q

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

A

The Fundamental Theorem of Calculus

33
Q

What is a solid with two parallel and congruent bases connected by rectangular faces?

Prism
Cone
Pyramid
Cylinder

A

Prism

Review For Board Exam (17 decks)

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