UPCAT Math Reviewer PDF

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Can you provide me some Maths questions for preparation of UPCAT or University of Philippines Common Admission Test?

Some Maths questions for preparation of UPCAT or University of Philippines Common Admission Test are as follows:


A circular table is pushed into a corner of a rectangular room so that it touches both walls. A point on the edge on the edge of the table between the two points of contact is 2 inches from one wall and 9 inches from the other wall. What is the radius of the table?
A. 20 inches
B. 12 inches
C. 15 inches
D. 17 inches


Twelve consecutive integers are added together. What is the remainder when the sum is divided by 4?
A. 1
B. 2
C. 3
D. No remainder


Find the total surface area in square meters of a rectangular solid whose length is 7 meters, width is 6 meters, and depth is 3 meters.
A. 32
B. 162
C. 81
D. 126


The diagonals of a rhombus measure 24 inches and 32 inches. The perimeter of a rhombus
A. Cannot be determined uniquely from the given information
B. Must be 80 inches
C. Must be 160 inches
D. Must be 100 inches


A car traveled 3 miles south, 9 miles east, and then another 9 miles south. What is the straight-line distance (in miles) between the point where the car started and where it stopped?
A. 21
B. 18
C. 3
D. 15


7.
Tatlong buklet ang maaaring i-print gamit ang tatlong printer sa loob ng tatlong minuto. Gaano karaming mga buklet ang maaaring i-print gamit ang anim na printer sa loob ng anim na minuto?

A.

10
B.

12
C.

14
D.

16

8.
Ang isang basketball team ay may layunin na maipanalo ang 90% ng kanilang mga laro. Ang kanilang rekord ay 10 panalo at 2 talo. Kung manalo sila sa natitirang bahagi ng kanilang mga laro, gaano karaming mga laro ang kinakailangan upang maabot ang kanilang layunin?

A.

2
B.

8
C.

10
D.

3

9.
The diagonals of a rhombus measure 24 inches and 32 inches. The perimeter of a rhombus

A.

Cannot be determined uniquely from the given information
B.

Must be 80 inches
C.

Must be 81 inches
D.

Must be 160 inches

Can you provide me the University of the Philippines College Admission Test (UPCAT) Math Reviewer in PDF Format?

[Neelu Bhasin]

The University of the Philippines College Admission Test (UPCAT) is part of the admission requirements of the University of the Philippines, administered to graduates of Philippine and foreign high schools. It was first administered in 1968.


UPCAT Math Reviewer


Section 1

Mathematics

I. Linear Equations

Linear Algebra refers to equations in the form y=mx+b, where
y = y-value at a certain point in the graph
x = x-value at a certain point in the graph
b = a constant
m = the slope of the line

This is useful for a variety of problems and is often represented by a graph that has a simple, straight line (Which is why it is called linear). You can solve for specific characteristics of a linear equation by plugging in known values and using a technique called isolation, which involves isolating the unknown variable. The unknowns that many questions ask students to find would include the following:

The y-intercept, or the value of y when it intercepts the y-axis
The x-intercept, or the value of x when it intercepts the x-axis
Slope
The constant

Isolation is fairly straightforward to use, as in the following example.


Example 1: What is the slope of the equation y=mx+3 if it intersects the x-axis at the point (4,0)?

So what do we know?

We know the equation, and that it passes through the point (4,0) somewhere along its graph, so we can simply plug in 4 for x and 0 for y to isolate m.

y=mx+3
0=m(4)+3
-3=m(4)
-3/4=m

Weve now isolated m, or the slope, so we have our answer: -3/4 or -0.75.


UPCAT Math Reviewer PDF