GenEd-Mathematics
6 m
A 10 m board leans against the wall . The foot of the board is 8 m from the wall. How high is the board up the wall?
4/15
A ball is drawn at random from a box containing 6 red balls, 4 white balls, and 5 blue balls. What is the probability of getting a white ball?
4mX4mX4m
A cube has a volume of 64 cubic meters. What is its dimensions?
Supplementary
If two angles have their respective legs parallel, they are?
the sum of the cube of two numbers
translate this into sentence x3+y3
16th century
the era where the importance of mathematics in science stimulated a new mathematics culture where heavy emphasis was given to the proper instruments for measuring, observing, calculating, and recording
GCF
the largest common factor of two or more numbers is called?
102.5 degrees
the measure of angle is 25 more than its supplement. What is the measurement of the larger angle?
Inductive reasoning
the process of reaching a general conclusion by examining specific examples
sample space
the set of all possible outcomes
perimeter
the sum of the side lengths of a closed plane figure
16
to have a 25% profit, the vendor should sell the item at 80. What is the vendor's profit
45 degrees
If a pair of angles is complementary and equal in measure, then each angle measures?
120
In how many ways can you arrange 5 girls to be seated in a row of 5 seats
126
In how many ways can you choose 5 players from a group of 9 players?
equal
All right angles are?
5 m
An isosceles triangle has a base of 2m and a perimeter of 12 m. What is the length of the other side?
Alexander Graham Bell
Decibel is named after him
April 23
During summer, Iah visits Boracay every six days, while Janus visits every four days. If they visited Boracay on last April 11, when is the earliest date that both of them will visit Boracay on the same day?
(2x-3)(x+5)
Factor 2x2 + 7x - 15
Jacob Bernouli
Introduce the " Law of large numbers" in his "The art of conjecture". In statistics, this implies that the larger the sample the more likely the sample become representative of the population
George Polya
The "Father of Problem Solving"
40, 41, 42
The sum of three consecutive integers is 123. What are the integers?
38, 39, 40
Three consecutive numbers have a sum of 117. What are these numbers
Associative property
(a+b)+c=a+(b+c)
Theorem
A mathematical statement which we can prove to be true
420
A pair of shoes originally priced at 600 is being sold at a discount of 30%. How much is it now?
3:2
A picture frame is 27 cm long and 18 cm wide. What is the ration of the length to its width?
56 eggs
A receipt for 2 eggs for every cup of flour. If a head chef uses 28 cups of flour. how many eggs will he need?
sample
A relatively small proportion of people who are chosen in a survey so as to be representative of the whole.
350 kg
A sack of rice contains 23 1/2 kg of rice. How many kilos of rice is 15 sacks?
1:3
A water pipe 10 ft long is cut into two with the smaller parat measuring 2.5 ft. What is the ratio of the smaller part to its longer part?
30 liters
A water tank when 20% full contains 8 liters. How many liters does the tank contains when it is 75% full?
Dyscalculia
Also known as developmental arithmetic disorder; a learning disability that involves difficulty in math computation.
90
Anna obtained the following scores from her Math exams: 82, 83, 85, and 90. What score must she get in the next exam to make her average score 86?
6, 120
Annalyn borrowed 6,000 at an interest of 8% for 3 months. How much will she pay for?
909
If a = 9x23 and b= 9x124, then b-a is equal to?
( -4, -2, 0,2, 3, 4)
Given that set A = (-4, -2, 0, 2, 4) and set B = (-4, -2, 0, 3, 4). What is AuB?
25
How many prime numbers are there between 1 - 100.
60
How many three digit numbers can you form from the digits 3, 4, 5, 6 ,7 without repeating any digit.
8
How many vertices does a rectangular solid have?
1/2
If a die is rolled, what is the probability of getting a number divisible by 2?
cube
It is a regular solid with equal length, height, and width?
nominal scale
It is a scale of measurement that concerns with categorical data
120
Lyn borrowed 6,000 pesos at an interest of 8% for three months. How much interest will she pay?
25%
Ms. Lyn spent 3,200 on food, 2,800 in tours, 2,500 in accommodation, and 1,500 on others. If she has 40,000 budget on her trip. What percent of it did she spend?
27:125
One side of a cube 3 cm. The ratio of its volume with another cube whose side is 5 cm is what?
26.75
Only 682 examinees ut of 2550 passed the exam? What percentage of examinees passed the exam?
2x2x3x3
Prime Factorization of 36
2x2x2x7
Prime Factorization of 56
3x7x13
Prime factorization of 273
Disjoint sets
Set A and B are said to be ______mutually exclusive or if they don't have common element/s
Equivalent set
Set A and B are said to be ____if and only if they have the same exact number of elements
sec A
Simplify the expression (csc A)(tan A)
1/(x+1)
Simplify the expression (x2+x+1)/(x3+1)
40
Student Z got the following grades in mathematics: 80, 75, 60, 95, and 100. What is the range of student's Z score?
9 pi
The area of a circle inscribed in a square having a side of 6 mc is what?
40
The area of a rectangle is 64, its length is 16. What is its perimeter?
102
The product of 18 and an integer is 1836. What is the integer?
60 m
The ratio of the sides of a scalene triangle is 1:3:6. If the shortest side is 6m, what is the perimeter of the triangle?
87
The tenth number in the sequence 15, 23, 31,....n
2 days
Vea can finish the job alone in 6 days while Bryne can finish the job alone in three days. How many days will it take if they do the job together
12,400
What id the total amount of 10,000 loan at an interest of 8% for 3 years.
1
What is the GCF of 22, 15, and 7?
63
What is the closest value to the square root 4000
2 (x + 1)
What is the derivative of f(x) = (x-3)(x+5)
Generalization
What is the end goal of mathematical investigation
2
What is the exponent in the expression 13x2 + y?
97
What is the largest prime number less than 100?
12
What is the least common multiple of 2, 3, and 4?
210
What is the least common multiple of 5, 6 and 7?
5, -1
What is the solution for the equation x2-4x-5=0
1, 5 , 25
What is the three terms in the progession 1/125, 1/25, 1/5.....
1
What is the value of x in 25 ≡ x (mod 12)
24
What is twenty percent of 60% of 200.
6.25%
What percent of 560 is 35?
Distributive
What property is a(b+C) = ab+ ac
contrapositive
What statement is P→Q = Q→¬P
2x2x2x2x3
Write the prime factorization of 48
pie graph
a graph that illustrates how a portion of data related to the whole
Function
a relation in which each element of the domain is paired with exactly one element of the range
Indirect proof
a type of proof where it is first assumed that the statement is false. If the assumption leads to an impossibility, than the original statement has to be proven true
3-D model
are manipulative materials that would help students discover the formula of the surface area and volume of a prism and pyramid
Cardinal numbers
are numbers that used to measure the number of elements in a given set
algebra tiles
are usually used with the multi-based arithmetic blocks in developing numeration concepts
George Dantzig
he invented a method of determining the optimal values of a linear function subject to certain constraints, this method is known as linear programming.
Blaise Pascal
he is describe as the biggest "might-have-been" in the history of mathematics
400
how many 75-gram pack of sugar can you make from a 30 kilogram sack
mean
is a measure of central tendency not influenced by outliers
Conjecture
is a proposition in which is consistent with known data but has neither been verified nor shown to be false
Fibbonacci Sequence
is organize in a way that a number can be obtained by adding two previous numbers
Ethnomathematics
is pervasive and identifiable cultural groups
Pattern of Visuals
it is a pattern that is unpredictable and it often contain acators
biconditional
it is a statement that has a connective "if and only if"
imposing
it is not a part if the core cognitive process
pattern of rhythm
it is said to be the most basic pattern in nature