CBEST math, c7 2023/2024 Exam with Complete Solutions

How would you represent probability? - ANSWER-# of successful events / # of possible events How do you convert a decimal to a percent? - ANSWER-Move decimal 2 places to RIGHT Or X by 100 How do you convert a percent to a decimal? - ANSWER-Move decimal 2 places to the LEFT Or divide by 100 How do you calculate percentage change (increase or decrease)? - ANSWER-change / starting point X 100 how do you find % of a number? - ANSWER-put % over 100 then multiply by number when you see work of ex 20% of 10 = 20/100 X 80/1 = 1600/100 = 16 how do you find the perimeter of a square, rectangle, parallelogram and triangle? - ANSWER-Square = add all sides Triangle = add all sides Rectangle = 2(base + h) Parallelogram = 2(a + b) not height x^0 =? - ANSWER-1 Whats the formula for area of a circle? For the circumference of a circle? - ANSWER-A = π X r squared C = πd OR 2πr radius = 1/2 diameter whats the formula for the area of a triangle? For the perimeter? - ANSWER-A = 1/2 base X height P = s1 + s2 + base (add all sides) whats the formula to find a hypotenuse angle? - ANSWER-1. for shorter leg: 2 X shorter leg 2. For longer leg: root of 3 X shorter leg how do you find the area of a square? the perimeter? - ANSWER-A = side squared P = add all 4 sides whats the formula for volume of a pyramid? For surface area? - ANSWER-V = 1/3 B(area of base) X height SA = 1/2 l (slant height) X perimiter + B whats the formula for area of a rectangular solid? for surface area? - ANSWER-V = Lwh SA = 2lh + 2wh + 2 wl how do you find a discounted price? - ANSWER-1. subtract discounted price from 100 to get the percent 2. multiply orig price by subtracted percentage in decimal form ex. 15% discount = 100-15= 85% = orig price X 0.85 = sale price What formula can be used to find the percent of a number? - ANSWER-part / whole = percent / 100 Ex: what part of 16 is 12? = 12/ 16 = x/100 or whats 5% of 10 = x/10 = 5/100 how do you multiply a whole number and a fraction? - ANSWER-1. rewrite the whole number as a fraction with 1 as denominator (15/1) 2. multiply numerators of two fractions 3. multiply denom of 2 fractions 4. divide the num and denom How do you measure slope? - ANSWER-Rise over run (y - x / y - x) How do you formulate distance? - ANSWER-Distance= Rate X Time How do you calculate time? - ANSWER-Time = Distance / Rate how do you calculate rate? (distance traveled per time / speed) - ANSWER-Rate = Distance / time whats the mode? how do you calculate it? - ANSWER-Mode is the most frequently-occurring value.