Here is the Final UPCAT sample quiz for the subtest of Mathematics. As always, please be reminded that there is no timer for this quiz so you will have to monitor your own pace. You can also post your quiz score on our Facebook fanpage so that you will see how well you fared compared to the other quiz takers. Moreover, you might want to check out our Ultimate Guide to the UPCAT post after the quiz to learn more about the UPCAT [tips, coverage, facts, etc].
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Advanced Math Quiz
Question 1
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X | 0 | 1 | 2 | 3 | 4 | 5 |
y | 1 | 3 | 5 | 7 | 9 | 11 |
y = 2x – 1
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y = x
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y = 2x + 1
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y = 2x
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=(3-1)/(1-0)
m=2
(y-intercept) b=1
y=mx+b
y=2x+1
Question 2
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43 | 33 | 24 | 51 | 36 | 31 |
50 | 46 | 50 | 29 | 40 | 25 |
38 | 35 | 31 | 35 | 42 | 50 |
47 | 21 | 45 | 45 | 28 | 36 |
58 | 62 | 37 | 55 | 52 | 49 |
45
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50 and 45
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45 and 35
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50
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Question 3
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50
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25
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100
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120
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Question 4
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I only
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III only
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I and II only
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II only
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Question 5
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50
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47
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45
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49
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Question 6
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1
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cannot determine
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6
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3
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Question 7
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[n-1]/2
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[n+1]/2
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n/2 + 1
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n/2 - 1
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n-1 = Odd number of house
[n-1]/2 = Houses that are painted blue
Question 8
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5/8
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1/7
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3/8
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1/8
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Total number of boys = 5
Probability = 5/8
Question 9
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10
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24
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30
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12
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Question 10
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36
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24
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12
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6
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Question 11
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P69, 950.00
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P64, 100.00
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P67, 200.00
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P69, 700.00
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= 67,200 (starting annual salary)
n = 1 d = 250
a11 = a1+(11-1)d
= 67,200 +10 (250)
= 67,200 +2,500
= 69,700
Question 12
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26
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25
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23
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24
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a1= -1
a6 = -1 + 5(2) = 9
sn = n/2(a1+a6)
s6 = 6/2(-1+9)
= (3)8
= 24
Question 13
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22
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20
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21
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23
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an= -51 n = ?
an = a1+ (n-1)d
-51 = 6+(n-1)(-3)
-51 = 6 +-3n+3
-51 = 9 + -3n
-51-9 = -3n
-60 = -3n
n = 20
Question 14
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74
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51
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55
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77
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a7 = 20
a20 = 59
a7 = a1 +(7-1)d
a20 = a1 +(20-1)d
20 = a1+6d 59 = a1+19d
Solving by elimination, we can solve the value of d.
a1+19d = 59 a1+19d = 59
- a1+6d = 20 +- a1-6d = -20
13d/13 = 39/13
d = 3
Solving for a1: Solving for a25:
20=a1+6(3) a25 = a1+24d
20 = a1+18 = 2 + 24(3)
a1 = 20-18 = 2+72
a1 = 2 a25 = 74
Question 15
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2/3
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3/4
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7/12
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1/3
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= 8/12
= 2/3
Question 16
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43 | 33 | 24 | 51 | 36 | 31 |
50 | 46 | 50 | 29 | 40 | 25 |
38 | 35 | 31 | 35 | 42 | 50 |
47 | 21 | 45 | 45 | 28 | 36 |
58 | 62 | 37 | 55 | 52 | 49 |
42
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43
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40
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41
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21 24 25 28 29 31 31 33 35 35 36 36 37 38 40 42 43 45 45 46 47 49 50 50 50 51 52 55 58 62
15th = 40
16th = 42
median = [N+1]/2 = [30+1]/2 = 31/2 = 15.5th score
x15 = 40
x16 = 42
[40+42]/2 = 41
Question 17
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48
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32
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70
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24
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C = n!/[(n-r)!r!]
n = 8 r = 4
8!/[(8-4!)4!
[4x2x7x6x5]/[4x3x2x1]
=2x7x5
C = 70
Question 18
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7
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8
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6
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9
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sn = 127
a2 =2
n = ?
r=a2/a1 = 2/1 = 2
sum of nth terms in geometric progression:
sn = [a1(1-r^n)]/ [1-r]
127 = [1(1-2^n)]/(1-2)
-127 = 1-2^n
-2^7= -2^n
n=7 -127 = 1-2n -127-1 = -2n -27= -2n n = 7
Question 19
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2
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1/3
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3
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1
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r = a2/a1 = a3/a2 = a4/a3
r = 12/4 = 36/12 = 108/36
r = 3
Question 20
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all real numbers greater than -1/5
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all real numbers greater than 0
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all real numbers
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all real numbers greater than or equal to -1/5
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y = \(\frac{2x^{2}-1}{5}\)
5y = 2x^2-1
5y + 1 = 2x^2
\(\frac{5y+1}{2}=x^{2}\)
\(x = \sqrt{\frac{5y+1}{2}}\)
Range is defined as all possible values of y correspond to value of x. From the given equation \(\frac{5y+1}{2}\) must be greater than or equal to zero.
\(\frac{5y+1}{2} \geq 0\)
\(5y+1 \geq 0\)
\(\frac{5y}{5}\geq -\frac{1}{5}\)
\(y \geq -\frac{1}{5}\)
Therefore, range for given equation: all real numbers greater than or equal to -1/5 5y +1 Therefore, range for given equation: all real numbers greater than or equal to zero.
Question 21
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inter quartile
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Decile
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Quartile
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tenths
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Question 22
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The domain of f(x) are all real numbers except 3.
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The domain of f(x) are all real numbers except -3.
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The domain of f(x) are all real numbers.
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The domain of f(x) are all real numbers except 0.
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Question 23
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\(y=\sqrt{x}\)
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y = 2x + 1
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y = 9 – x
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\(y=\frac{5x-3}{7}\)
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\(y=\sqrt{x}\), is not a function because given a value of x say x=4, there corresponds two values for Y, 2 and -2
Question 24
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18.6
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20.4
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22.8
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21.5
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2nd Quiz = 6
3rd Quiz = 12
a1 = 3 r = 2
\(S_{n}= \frac{a_{1}(1-r^{n})}{1-r}= \frac{3(1-2^{5})}{1-2}\)
\(S_{n}= \frac{3(1-32)}{1-r}= \frac{3(-31)}{-1}\)
\(S_{n}= \frac{-93}{-1} = 93\)
93/5 = 18.16
Question 25
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43 | 33 | 24 | 51 | 36 | 31 |
50 | 46 | 50 | 29 | 40 | 25 |
38 | 35 | 31 | 35 | 42 | 50 |
47 | 21 | 45 | 45 | 28 | 36 |
58 | 62 | 37 | 55 | 52 | 49 |
40.8
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46.4
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48.3
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40.6
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sum = 1224
average: 1224/30 = 40.8
Question 26
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Matrix
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Frequency
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Discriminant
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Array
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Question 27
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45 meters
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30 meters
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40 meters
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50 meters
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51-1 = 50
2,250 / 50 = 45 meters
Question 28
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P54.00
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P40.00
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P58.00
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P50.00
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d = 4.00
an= 4 * 3 = 12wks
a12 = a1+(12-1)d
= 10.00 + (11) 4.00
= 10.00 + 44.00
= 54.00
Question 29
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312
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374
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82
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256
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Question 30
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43 | 33 | 24 | 51 | 36 | 31 |
50 | 46 | 50 | 29 | 40 | 25 |
38 | 35 | 31 | 35 | 42 | 50 |
47 | 21 | 45 | 45 | 28 | 36 |
58 | 62 | 37 | 55 | 52 | 49 |
56
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41
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40
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63
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= 62 – 21 = 41
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thanks a lot for this nosebleeding questions