Pre-Calculus First Preliminary Exam



Lun Padidu National High School
Senior High School
Pre-Calculus (STEM)
First Preliminary Examination

Name: __________________  Date: ____________      Score: ________

A. Identify the type of conics given the following equations whether Circle, Ellipse, Parabola, or Hyperbola and write it on the space provided. (2 points)

1. (y+5)^2/4-(x+9)^2/9=1

2. (x+4)^2+y^2=81

3. (x-1)^2/25-y^2/36=1

4. (y-3)^2=12(x+6)

5. (x-2)^2/10+(y-3)^2/20=1


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Math 10 K to 12 Curriculum

Here you can find solutions and answers to the problems in Math 10 Learner's Module.

Word Problems

Number Problems in One Variable
  1. If 16 is added to one-third of a number, the result is three times the number. What is the number? Solution

Modelling through Polynomial Equations

Problem:

     One dimension of a cube is increased by 1 inch to form a rectangular block. Suppose that the volume of the new block is 150 cubic inches. Find the length of an edge of the original cube. 

Chapter Quiz – Arithmetic Sequence

Chapter Quiz – Arithmetic Sequence
Shade the letter of the correct answer in your answer sheets.
 1. What comes next in this pattern: AFKP, BGLQ, CHMR, DINS, ____?
 a. FKPU                                                 c. GLQV
 b. EJOT                                                  d. HMRW

 2. What comes next in this pattern: ¥¤¤¤, ¤¥¤¤, ¤¤¥¤, _____?
 a. ¥¥¤¤                                                   c. ¤¥¥¤
 b. ¤¥¤¥                                                   d. ¤¤¤¥

Math 10 – Geometric and Other Sequences

Math 10 – Geometric and Other Sequences
Select the letter of the correct answer. Shade the corresponding letter on your answer sheet.

1. It is a sequence where each term after the first is obtained by adding the same constant.
a. Arithmetic Sequence
b. Geometric Sequence
c.  Harmonic Sequence
d. Fibonacci Sequence

2. It is a sequence where it is first two terms are either 1 or 0 and 1; and each term, thereafter, is obtained by adding the two preceding terms.
a. Arithmetic Sequence
b. Geometric Sequence
c. Harmonic Sequence
d. Fibonacci Sequence

General Math - Investment


General Mathematics
Grade 11
Test 1

Name: ______________________________                            Score: ________________



Multiple Choice: Select the letter of the correct answer.
1. Which of the following is the equivalent of 25% in decimal?
                a.  2.5                                    c.  0.25
                b.  0.025                               d.  0.0025

2. What is 9% in decimal?
                a.  0.9                                    c.  0.09
                b.  9.0                                    d.  0.90

Grade 7 Mathematics - 2nd Grading Exam


Mock MTAP Math Challenge Year 4 Individual Written Competition Set 1

Mock MTAP Math Challenge Year 4
Individual Written Competition Set 1

Part I: Solve each problem and write the answer on the answer sheet provided. Give lines as ax + by + c = 0. Leave answers in simplifi ed radicals and use base 10 unless otherwise stated. [2 points each]


PSQ Reviewer

1. Another name for the residual term in a regression equation is
A. residual analysis.
B. random error.
C. homoscedasticity.
D. pooled variances.

2. A chi-square test for independence with 8 degrees of freedom results in a test statistic of 18.21. Using
the chi-square table, the most accurate statement that can be made about the p-value for this test is that
A. p-value < 0.01.
B. 0.10 > p-value > 0.05.
C. 0.025 > p-value > 0.01.
D. 0.05 > p-value > 0.025.

JHS Math Contest Part B Final - BBC

British Columbia College

Junior High School Mathematics Contest
Part B Final
April 30, 1999


JHS Math Contest Part A Final BCC

British Columbia College

Junior High School Mathematics Contest
Part A Final
April 30, 1999







British Columbia Colleges

Junior High School Mathematics Contest

Preliminary Round 
March 10, 1999

Statistics Exam 1

Question 1 of 20 5.0 Points
A final exam in Math 160 has a mean of 73 with standard deviation 7.73. Assume that a random sample of 24 students is selected and the mean test score of the sample is computed. What percentage of sample means are less than 70?
A. 19.46%
B. 12.85%
C. 2.87%
D. 13.46%

Question 2 of 20 5.0 Points
A bank’s loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, find the probability of a rating that is between 225 and 275.
A. 0.2416
B. 0.2418
C. 0.2417
D. 0.2420

Review Materials for Math Competitions

Mathematics Competitions are tough! To help you find a site for your reviews, here are some of the links:






Enjoy and good luck with competition!

Grade 7 Mathematics-First Periodical Exam (part 1)

Action Camera or Sports Cam? Click here https://goo.gl/KTbtjJ

DIRECTION: Read and understand each question carefully. Do not write anything on the test questionnaire. Write your answer on the answer sheet.

Multiple Choice. Choose the correct answer. Write the letter of the correct answer on the answer sheet.
1.       It is a well-defined group of objects that share common characteristics.
a.       Set                                 
b. Group                              
c. Elements                         
d. Member

ANSHS Grade 7 Fourth Grading Exam

Here is the questionnaire administered for the the grade 7 of Alabel National Science High School for Fourh Grading period.

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

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

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'