FTCE General Knowledge Test Math
whole numbers - correct answer the whole numbers and zero
natural numbers - correct answer the counting numbers. 1, 2, 3, 4, 5, 6,...
irrational numbers - correct answer real numbers that cannot be written as the ratio of two
integers
exponent form - correct answer a shorthand way of writing repeated multiplication.
write 46, 368, 000 in scientific notation - correct answer 4.6368 x 10^7
write 0.00397 in scientific notation - correct answer 3.97 x 10^-3
properties - correct answer rules that apply for addition, subtraction, multiplication, or division
of real numbers
types of properties - correct answer commutative, associative, identity, inverse, distributive
commutative - correct answer You can change the order of the terms or factors:
for addition: a + b= b + a
for multiplication: ab=ba
associative - correct answer you can regroup the terms as you like
for addition: a + (b + c)= (a +b) + c
for multiplication: a(bc)= (ab)c
Identity - correct answer addition: a + 0= a
multiplication: a x 1= a
Inverse - correct answer finding a number such that when added to the number it results in
zero; or when multiplied by the number, it results in 1.
addition: a+a=0
multiplication: a x (1/a)=1
Distributive - correct answer a (b + c)= ab + ac
polygon - correct answer a simple, closed, two-dimensional figure composed of line segments
Quadrilateral - correct answer a polygon with four sides.
the sum of the measures of the angles is 360 degrees.
trapezoid - correct answer a polygon with exactly one pair of parallel sides
, isosceles trapezoid - correct answer a quadrilateral in which the nonparallel sides are congruent
parallelogram - correct answer a quadrilateral with two pairs of parallel sides.
the diagonals bisect each others, each diagonal divides the parallelogram into two congruent
triangles, both pairs of opposite sides are congruent, both pairs of opposite angles are
congruent, and two adjacent angles are supplementary.
rectangle - correct answer a parallelogram with a right angle
rhombus - correct answer a parallelogram with all sides equal in length
a square - correct answer a rectangle with all sides equal in length.
True or False: All squares are rhombuses - correct answer True
True or False: All parallelograms are rectangles - correct answer False-some are rectangles
True or False: All rectangles are parallelograms - correct answer True
True or False: Some rhombuses are squares - correct answer True
True or False: Some rectangles are trapezoids - correct answer False: trapezoids have only one
pair of parallel sides
True or False: All quadrilaterals are parallelograms - correct answer False: Some quadrilaterals
are parallelograms
True or False: Some squares are rectangles - correct answer False: All squares are rectangles
True or False: Some parallelograms are rhombuses - correct answer True
Triangle - correct answer A polygon with three sides
Acute triangle - correct answer has exactly 3 acute angles. an acute angle is less than 90
degrees.
Obtuse Triangle - correct answer a triangle with one obtuse angle. An obtuse angle measures
between 90 degrees and 180 degrees.
isosceles triangle - correct answer two sides are the same length
scalene triangle - correct answer a triangle in which no sides are the same length
cylinder - correct answer a space figure that has two parallel, congruent circular bases
sphere - correct answer a space figure having all its points the same distance as the center,
cone - correct answer a space figure having a circular base and a single vertex
pyramid - correct answer a space figure with a square base and four triangle shaped sides
whole numbers - correct answer the whole numbers and zero
natural numbers - correct answer the counting numbers. 1, 2, 3, 4, 5, 6,...
irrational numbers - correct answer real numbers that cannot be written as the ratio of two
integers
exponent form - correct answer a shorthand way of writing repeated multiplication.
write 46, 368, 000 in scientific notation - correct answer 4.6368 x 10^7
write 0.00397 in scientific notation - correct answer 3.97 x 10^-3
properties - correct answer rules that apply for addition, subtraction, multiplication, or division
of real numbers
types of properties - correct answer commutative, associative, identity, inverse, distributive
commutative - correct answer You can change the order of the terms or factors:
for addition: a + b= b + a
for multiplication: ab=ba
associative - correct answer you can regroup the terms as you like
for addition: a + (b + c)= (a +b) + c
for multiplication: a(bc)= (ab)c
Identity - correct answer addition: a + 0= a
multiplication: a x 1= a
Inverse - correct answer finding a number such that when added to the number it results in
zero; or when multiplied by the number, it results in 1.
addition: a+a=0
multiplication: a x (1/a)=1
Distributive - correct answer a (b + c)= ab + ac
polygon - correct answer a simple, closed, two-dimensional figure composed of line segments
Quadrilateral - correct answer a polygon with four sides.
the sum of the measures of the angles is 360 degrees.
trapezoid - correct answer a polygon with exactly one pair of parallel sides
, isosceles trapezoid - correct answer a quadrilateral in which the nonparallel sides are congruent
parallelogram - correct answer a quadrilateral with two pairs of parallel sides.
the diagonals bisect each others, each diagonal divides the parallelogram into two congruent
triangles, both pairs of opposite sides are congruent, both pairs of opposite angles are
congruent, and two adjacent angles are supplementary.
rectangle - correct answer a parallelogram with a right angle
rhombus - correct answer a parallelogram with all sides equal in length
a square - correct answer a rectangle with all sides equal in length.
True or False: All squares are rhombuses - correct answer True
True or False: All parallelograms are rectangles - correct answer False-some are rectangles
True or False: All rectangles are parallelograms - correct answer True
True or False: Some rhombuses are squares - correct answer True
True or False: Some rectangles are trapezoids - correct answer False: trapezoids have only one
pair of parallel sides
True or False: All quadrilaterals are parallelograms - correct answer False: Some quadrilaterals
are parallelograms
True or False: Some squares are rectangles - correct answer False: All squares are rectangles
True or False: Some parallelograms are rhombuses - correct answer True
Triangle - correct answer A polygon with three sides
Acute triangle - correct answer has exactly 3 acute angles. an acute angle is less than 90
degrees.
Obtuse Triangle - correct answer a triangle with one obtuse angle. An obtuse angle measures
between 90 degrees and 180 degrees.
isosceles triangle - correct answer two sides are the same length
scalene triangle - correct answer a triangle in which no sides are the same length
cylinder - correct answer a space figure that has two parallel, congruent circular bases
sphere - correct answer a space figure having all its points the same distance as the center,
cone - correct answer a space figure having a circular base and a single vertex
pyramid - correct answer a space figure with a square base and four triangle shaped sides
