Nursing Entrance Exam Kaplan: Math
Questions with Accurate Answers
Adding & Subtracting Coefficients with Exponents correct answer (i.e x²+x²= 2x²)
Base (x) and exponent (2) of both Coefficients must be the same and can then be
added or subtracted. (i.e x²+x³ cannot be combined because exponents are
different) (i.e x²+y² cannot be combined because bases are different)
Adding and Subtracting Algebraic Expressions correct answer In an Expression,
you can only combine like Terms(i.e 6a+5a=11a) You cannot combine unlike
Terms (i.e 6a+ 5a² cannot be combined) You can simplify unlike Terms(i.e (3a+2b-
8a) = (3a-8a+2b) = -5a+2b)
Adding and Subtracting Radicals correct answer Numbers under radical sign must
be the same in order to add the coefficients on the outside (i.e 2√2 + 3√2 = 5√2) If
they are not the same and can be simplified to the same number then they can be
added, otherwise they can not (i.e 5√3+2√75 = 5√3+2√25.√3 = 2×5√3=5√3+10√3 =
15√3)
Angles correct answer A Right Angle is 90°. Lines that intersect to form Right
Angles are Perpendicular. Angles that form a straight line add up to 180° An angle
greater then 90° is Obtuse, an angle smaller then 90° is Acute.(i.e a°__/__b° a is
Obtuse, b is Acute) If two Lines Intersect (i.e X) the adjacent angles are
Supplementary and add up to 180°. Angles around the point are 360°.
Area of a Circle: correct answer A= Pi x r ^2
Area of a triangle; correct answer A=1/2 b x h
, Area of rectangle: correct answer A = L x W
Area of square: correct answer A = S^2
Average, Median, Mode correct answer Average= Sum of the Terms/ Number of
The Terms (i.e Average of 15, 18, 15, 32, 20 = 100/5= 20)
Median= Middle number ,or sum of the two middle numbers divided by 2 (i.e
Median of 15,15, 18, 19, 20, 32 = (18+19)÷2= 18.5)
Mode= value of term that occurs most (i.e Mode of 15, 15, 19, 20= 15)
Circles correct answer A Circle is a figure in which each point is an equal distance
from it's center.
The Radius of a Circle is the distance from the center to any point on the circle.
A Chord is a line segment that connects any 2 points on a circle.
The Diameter of a Circle is a chord that passes through the center. All Diameters
are Equal to twice the Radius.
The Circumference of a Circle is the distance around it, 2πr or πd.
The Area of a Circle equals π times the square of the radius, or πr². (i.e Diameter=
6, radius=6/2=3 and area= πr² × π(3²)=9π)
Circumference of a circle: correct answer C=2 x Pi x r
Circumference of a circle: correct answer The total distance around the circle
Coefficient correct answer The number that comes before the Variable (i.e 6x, 6 is
the Coefficient)
Questions with Accurate Answers
Adding & Subtracting Coefficients with Exponents correct answer (i.e x²+x²= 2x²)
Base (x) and exponent (2) of both Coefficients must be the same and can then be
added or subtracted. (i.e x²+x³ cannot be combined because exponents are
different) (i.e x²+y² cannot be combined because bases are different)
Adding and Subtracting Algebraic Expressions correct answer In an Expression,
you can only combine like Terms(i.e 6a+5a=11a) You cannot combine unlike
Terms (i.e 6a+ 5a² cannot be combined) You can simplify unlike Terms(i.e (3a+2b-
8a) = (3a-8a+2b) = -5a+2b)
Adding and Subtracting Radicals correct answer Numbers under radical sign must
be the same in order to add the coefficients on the outside (i.e 2√2 + 3√2 = 5√2) If
they are not the same and can be simplified to the same number then they can be
added, otherwise they can not (i.e 5√3+2√75 = 5√3+2√25.√3 = 2×5√3=5√3+10√3 =
15√3)
Angles correct answer A Right Angle is 90°. Lines that intersect to form Right
Angles are Perpendicular. Angles that form a straight line add up to 180° An angle
greater then 90° is Obtuse, an angle smaller then 90° is Acute.(i.e a°__/__b° a is
Obtuse, b is Acute) If two Lines Intersect (i.e X) the adjacent angles are
Supplementary and add up to 180°. Angles around the point are 360°.
Area of a Circle: correct answer A= Pi x r ^2
Area of a triangle; correct answer A=1/2 b x h
, Area of rectangle: correct answer A = L x W
Area of square: correct answer A = S^2
Average, Median, Mode correct answer Average= Sum of the Terms/ Number of
The Terms (i.e Average of 15, 18, 15, 32, 20 = 100/5= 20)
Median= Middle number ,or sum of the two middle numbers divided by 2 (i.e
Median of 15,15, 18, 19, 20, 32 = (18+19)÷2= 18.5)
Mode= value of term that occurs most (i.e Mode of 15, 15, 19, 20= 15)
Circles correct answer A Circle is a figure in which each point is an equal distance
from it's center.
The Radius of a Circle is the distance from the center to any point on the circle.
A Chord is a line segment that connects any 2 points on a circle.
The Diameter of a Circle is a chord that passes through the center. All Diameters
are Equal to twice the Radius.
The Circumference of a Circle is the distance around it, 2πr or πd.
The Area of a Circle equals π times the square of the radius, or πr². (i.e Diameter=
6, radius=6/2=3 and area= πr² × π(3²)=9π)
Circumference of a circle: correct answer C=2 x Pi x r
Circumference of a circle: correct answer The total distance around the circle
Coefficient correct answer The number that comes before the Variable (i.e 6x, 6 is
the Coefficient)
