FTCE General Knowledge Math Questions with Correct Solutions | Verified
Can be expressed as the ratio of two integers, where B is not equal to zero - Rational # Positive and negative whole numbers and zero - Integers Natural numbers and zero - Whole numbers Counting numbers not including zero or negative - Natural numbers Real numbers that cannot be written as the ratio of two integers - they are infinite, not repeating decimals--- square root of 5 or pi -3...... - Irrational numbers An expression of numbers in the form of X/Y where X =the numerator and Y # the denominator 3/4 - Fraction Has an integer part and fraction part 5 2/3 - Mixed number Means per 100 written with a percentage sign 10% = 10/100=1/10 - Percent Largest number that is a factor of all members problem. Can be no larger than the smallest number of the problem - if smallest number in the problem is not a factor, continue increasing smaller until you find a common factor. GCF of 12, 20, 36 - 4 - Greatest common factor Smallest number of a group of numbers that all given numbers will divide into evenly - will always be the largest of the given numbers or a multiple of the largest 20, 30, 40 - largest is 40, but 30 won't divide into 40 evenly, so 120 is the only number that all will divide evenly - Least common multiple Whole numbers that have two or more factors. 9-1,3,9 - Composite number Whole numbers greater than 1 that have only 2 factors- 1 and itself - Prime numbers Some of the length of the sides of the polygon - Perimeter Number of square units covered by a polygon - Area Area formula - LW Perimeter formula - 2(L + W) - Rectangle Area formula - 1/2 bh Perimeter formula - A+ B+ C - Triangle Area formula - BH Perimeter formula - some of length of sides - Parallelogram 1/2BH (A+ B) - Trapezoid The distance between a circle - pi -3.14 - 22/7 C=2pir or C=pid - Circumference Simple, closed, two dimensional figure to post a blind statements - named according to the number of sides they have - Polygon Four Sides - some of angles is 360° - Quadrilateral Quadrilateral with exactly one pair of parallel sides - Trapezoid Nonparallel sides are congruent - Isosceles trapezoid Quadrilateral with two pairs of parallel sides - diagonals bisect each other - each diagonal divides parallelogram into two congruent triangles - Parallelogram Parallelogram with the right angle - Rectangle Parallelogram with all sides equal in length - Rhombus Rectangle with all sides equal in length - Square Polygon with three sides - classified by links of sides and types of Bengals - Triangle Has exactly 3 acute angles that measure less than 90° - Acute triangle One right angle - one acute angle that measures less than 90° - Right triangle One angle between 90° and 180° - Obtuse triangle All three sides are the same length - Equilateral triangle A triangle in which two sides are the same length - Isosceles triangle The triangle in which no sides are the same length - Scalene triangle An angle that measures less than 90° - Acute angle An angle that measures 90° - Right angle An angle that measures between 90° and 180° - Obtuse angle Hey space figure that has two parallel, congruent circular bases - Cylinder Space figure having all its points in the same distance from the center - Sphere A space figure having a circular base and a single vertex - Cone Space figure with a square base and four triangle shaped sides - Pyramid If foresighted space triangle: each face is a triangle - Tetrahedron Is based figure with two congruent, parallel bases that are polygons - Prism The comparison of two numbers - Ratio An equation in which one fraction is set equal to another 4/15=x/60 to solve, cross multiply (4)(60)=15x. 16=x - Proportion Figures that have the same size and shape - Congruent figures Two figures that have the same shape - Similar Given that any right triangle ABC the square of the hypotenuse is equal to the sum of the square of the other two sides. A squared plus B squared equals C squared Side a B squared is equal to BC squared plus a C squared - Pythagorean theorem A plane with a point selected as its origin, some link suggested as a unit of distance, and two perpendicular lines that intersect at the origin, with positive or negative direction selected on each line - Congruent plane Unique ordered pair of numbers that identify a point coordinate plane - Coordinates And upward or downward direction of the line - Slope The top of a fraction; it represents the change in the Y coordinates - Rise The bottom of the fractions; it represents the change in the x-coordinate - Run The length of the line segment between two different points, a and B. The length of a line formula is - Distance addend+addend=sum sum-addend=difference factorXfactor=product dividend ÷ divisor = quotient - operations dividend ---------- = quotient divisor - division any number ÷ 0 = can't do it 0 ÷ any number = 0 0 cannot be a divisor - divide by zero whole number greater than 1 that is divisible only by itself and 1 - prime number whole number greater than 1 that are not prime - composite use factor tree - e.g. 36 = 2∗2∗3∗3 - prime factors the greatest number that will divide evenly into the two numbers list factors of each then chose the highest one - GCF greatest common factor the smallest product that is a multiple of each of the counting numbers....factor each/ build a product consisting of each factor used the most number of times it appears as a factor. e.g...24=2∗2∗2∗3 36=2∗2∗3∗3 so LCM (24,36) = 2∗2∗2∗3∗3 =72 - LCM least common multiple ... - 1 is neither prime or composite whole numbers, integers, positive and negative fractions, decimals, and percents - rational numbers counting numbers and 0 - whole numbers numbers that are either negative or positive and 0....o is not positive or negative - integers all numbers that can be written as positive or negative fractions ...rational numbers can be expressed as fractions, decimals, or percents - rational numbers 4/5 - 80%=.80=.8= 3/5 - 60%=.60=.6=
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