Here is the questionnaire administered for the the grade 7 of Alabel National Science High School for Fourh Grading period.
Here are some mathematics questions that were administered during some mathematics competitions.
Work Problem No. 2
Greg can milk all of the carabaos in 120 minutes and Harold can do it in 60 minutes. If Greg milks for 20 minutes before Harold joins him, how long would it take them to finish?
Solution:
Let x be the length of time Greg and Harold can finish milking the carabaos.
Rate (job per minute) Time Work
Greg 1/120 x + 20 ( x + 20 ) / 120
Harold 1/60 x x/60
Equation: ( x + 20 ) / 120 + x/60 = 1
To solve, multiply both sides of the equation by the LCD, i.e.
120 ( ( x + 20 ) / 120 + x/60 ) = ( 1 ) 120
x + 20 + 2x = 120
3x + 20 = 120
3x = 120 - 20
3x = 100
x = 100/3
x = 33 1/3 minutes or 13 minutes and 20 seconds.
Therefore, Greg and Harold can milk all the carabaos in 13 minutes and 20 seconds.
Problem is taken from e-math kto12 edition Grade 7
Solution:
Let x be the length of time Greg and Harold can finish milking the carabaos.
Rate (job per minute) Time Work
Greg 1/120 x + 20 ( x + 20 ) / 120
Harold 1/60 x x/60
Equation: ( x + 20 ) / 120 + x/60 = 1
To solve, multiply both sides of the equation by the LCD, i.e.
120 ( ( x + 20 ) / 120 + x/60 ) = ( 1 ) 120
x + 20 + 2x = 120
3x + 20 = 120
3x = 120 - 20
3x = 100
x = 100/3
x = 33 1/3 minutes or 13 minutes and 20 seconds.
Therefore, Greg and Harold can milk all the carabaos in 13 minutes and 20 seconds.
Problem is taken from e-math kto12 edition Grade 7
Work Problem No. 1
Dan can do the job in 30 hours, Ellen can do it in 40 hours, and Francis can do it in 60 hours. how long would it take them if they work together?
Solution:
Let x be the number of hour Dan, Ellen, and Francis take if they work together.
Name Rate (job per hour) Time Work
Dan 1/30 x x/30
Ellen 1/40 x x/40
Francis 1/60 x x/60
Equation: x/30 + x/40 + x/60 = 1
To solve, multiply both sides of the equation by the LCD, i.e.
120 ( x/30 + x/40 + x/60 ) = ( 1 ) 120
4x + 3x + 2x = 120
9x = 120
x = 120/9
x = 13 1/3 hours or 13 hours and 20 minutes.
Therefore, Dan, Ellen, and Francis can finish the job in 13 hours and 20 minutes if they work together.
Problem is taken from e-math kto12 grade 7
Solution:
Let x be the number of hour Dan, Ellen, and Francis take if they work together.
Name Rate (job per hour) Time Work
Dan 1/30 x x/30
Ellen 1/40 x x/40
Francis 1/60 x x/60
Equation: x/30 + x/40 + x/60 = 1
To solve, multiply both sides of the equation by the LCD, i.e.
120 ( x/30 + x/40 + x/60 ) = ( 1 ) 120
4x + 3x + 2x = 120
9x = 120
x = 120/9
x = 13 1/3 hours or 13 hours and 20 minutes.
Therefore, Dan, Ellen, and Francis can finish the job in 13 hours and 20 minutes if they work together.
Problem is taken from e-math kto12 grade 7
College Algebra Problem Set No. 1
Name: ________________________ Course/Yr: _______________
Date: ________________________
Problem Set #1: SETS
A. Use the Roster Method to specify the sets of in Problems 1 through 5.
1. The fractions whose numerator is 1, and whose denominator is a counting number less than 10
2. The single digits used in the decimal system
3. The colors of the rainbow
4. The set of first 10 prime numbers
5. The months of the year
B. Write the cardinality of the sets in Problems 1 through 5.
C. The subsets of a set is given by the formula 2^n (read as "2 raised to n" or "2 raised to the power of n"), where n is the cardinality of the set. For example, the set {a, b, c} has 2^3 = 2x2x2 = 8 subsets, i.e., {{a,b,c},{a,b},{a,c},{b,c},{a},{b},{c},{Ø}}.
Find all the subsets of the set {l,o,v,e}.
D. If U = {x|x is a letter in the the English Alphabet}
A = {x|x is a or one of the next four letters in the English alphabet}
= {a,b,c,d,e}
E = {x|x is e or one of the next four letters in the English alphabet}
I = {x|x is i or one of the next four letters in the English alphabet},
Find:
a. A n E
b. E n I
c. I n Ø
d. Ø U A
e. A' n I'
Date: ________________________
Problem Set #1: SETS
A. Use the Roster Method to specify the sets of in Problems 1 through 5.
1. The fractions whose numerator is 1, and whose denominator is a counting number less than 10
2. The single digits used in the decimal system
3. The colors of the rainbow
4. The set of first 10 prime numbers
5. The months of the year
B. Write the cardinality of the sets in Problems 1 through 5.
C. The subsets of a set is given by the formula 2^n (read as "2 raised to n" or "2 raised to the power of n"), where n is the cardinality of the set. For example, the set {a, b, c} has 2^3 = 2x2x2 = 8 subsets, i.e., {{a,b,c},{a,b},{a,c},{b,c},{a},{b},{c},{Ø}}.
Find all the subsets of the set {l,o,v,e}.
D. If U = {x|x is a letter in the the English Alphabet}
A = {x|x is a or one of the next four letters in the English alphabet}
= {a,b,c,d,e}
E = {x|x is e or one of the next four letters in the English alphabet}
I = {x|x is i or one of the next four letters in the English alphabet},
Find:
a. A n E
b. E n I
c. I n Ø
d. Ø U A
e. A' n I'
Analytic Geometry Knowledge Questions
Direction: Encircle the letter of the correct answer.
1. A _________________ is an equation in r and Ө.
a. rectangular equation c. polar equation
b. quadratic equation d. parametric equation
2. It is a ray emanating from the pole of the rθ-plane.
a. Origin b. Polar Axis c. Polar Angle d. Angular Coordinate
3. It is a two-dimensional coordinate system in which each point P on a plane is determined by a distance r from a fixed point O and an angle Ө from a fixed direction.
1. A _________________ is an equation in r and Ө.
a. rectangular equation c. polar equation
b. quadratic equation d. parametric equation
2. It is a ray emanating from the pole of the rθ-plane.
a. Origin b. Polar Axis c. Polar Angle d. Angular Coordinate
3. It is a two-dimensional coordinate system in which each point P on a plane is determined by a distance r from a fixed point O and an angle Ө from a fixed direction.
Metrobank-MTAP-DepEd Math Challenge 2013-2014 Grade 7 Questions 21-30
21. Simplify: 2(5)2 – 6(-2)3 + (3 –
7)3
22. How many different lengths of diagonals does a
regular decagon have?
23. Give the solution set for 3[7 – 2(7x – 4)] = -42x + 45
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