Below is a
set of exercises that you will submit when classes resume. Copy and paste the
following questions in MS Word.
__________________________________________________________________________________
Answer the following questions. Show complete solution.
1. Jack was given an end-of-year bonus.
First, he gave half of his
bonus plus P 40,000 to his parents.
Next, he saved half of his
remaining bonus plus P 30,000 in the bank.
After that, he donated to
charity half of his remaining bonus plus P 20,000.
Finally, he spent half of
his remaining bonus plus P 10,000 on some clothes.
If he was left with P 100,000, how much
was his bonus?
2. The
number of students in a school doubled every year. If the school had its full
intake in the year 2014 with 2400 students, in which year did the school have
only 75 students?
3. There are
40 students in a class. 25 of them like Science lessons. 18 of them like Math Olympiad lessons.
a. How many students, at most, like both Science
and Math Olympiad lessons?
b. How many students, at least, like both Science
and Math Olympiad lessons?
4. In
the figure below, each box can be painted with only one color. How many
different ways are there altogether to paint the two boxes using red, yellow, orange
and blue?
5. Find the number represented by
each letter. Each letter represents a different number
M
MA
MAT
x MATH
4 8 0 0
6. At a movie, the seat numbers of Anthony, Betty,
Carol and Dolly are 20, 21, 22 and 23, but not in this order.
Dolly’s
seat number is bigger than Brannon’s
Anthony
and Betty are not sitting next to each other.
Anthony’s
seat number is bigger than that of Betty but smaller than Carol’s.
What is Dolly seat number?
7. Two overlapping squares, QTVU and SXYZ, are drawn
inside the rectangle PQRS so that the
perimeters of the three shaded
rectangles are equal.
If
the lengths of the sides of PQRS are
20 cm and 22 cm, what is the sum of the perimeters, in centimeters, of the squares QTVU
and SXYZ?
8. How many 4-digit numbers can be formed with the digits 0 to 6 so that the sum of the units, tens and hundreds digits of such a 4-digit number is even? No digit is allowed to use twice in any such 4-digit number.
9.
A clerk her career
with a monthly salary of P 6 000 and is promised an increase of P 900
per month at the end of each year’s service. How many years
does it take her to earn a
total of
P 468 000?
10. Show
that the number n – 1 and n + 15 are relatively prime for every
even integer n, that is, their greatest common divisor is 1.
___________________________________________________________________________________
Additionally, I have prepared two MTAP reviewers for you. Download these files and answer each question.
Prepared by:
Josel P. Jalon
joseljalon@yahoo.com
Walang komento:
Mag-post ng isang Komento