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EASY
QUESTION 1
How many square numbers are there from 20 to 80?
A.4
B.5
C.6
D.7
Answer
β€’ A
QUESTION 2
The counting numbers are arranged in a triangular pattern. What is the
greatest number in the 7th row?
1
2 3 4
5 6 7 8 9
10 11 12 13 14 15 16
.
.
.
A. 36 B. 45 C. 49 D. 50
Answer
C
QUESTION 3
If 0. 𝐴𝐡𝐢𝐷 𝐴𝐡𝐢𝐷 𝐴𝐡𝐢𝐷 … is a repeating decimal, what letter represents
the 82𝑛𝑑 digit after the decimal point?
A. A B. B C. C D. D
Answer
β€’ B
QUESTION 4
β€’ What is the total area in the distribution under the normal curve?
A. 0 B. 1 C. 2 D. 3
Answer
β€’ B
QUESTION 5
β€’ If two coins are tossed, which of the following is not a possible value
of the random variable for the number of heads?
A. 0 B. 1 C. 2 D. 3
Answer
β€’ D
QUESTION 6
β€’ In statistics, there are levels of measurement. Temperature in Celsius
is under what type of level?
A. Nominal B. Ratio C. Ordinal D. Interval
Answer
β€’ D
QUESTION 7
β€’ Which of the following represents a rational function?
A. 𝑓(π‘₯) =
3π‘₯+2π‘₯
1
2
π‘₯2+3π‘₯+2
B. 𝑓(π‘₯) =
π‘₯2βˆ’5π‘₯+6
π‘₯βˆ’2
C. 𝑓(π‘₯) =
π‘₯+1
π‘₯2βˆ’1
D. 𝑓(π‘₯) =
π‘₯+3
π‘₯
2
3+4
Answer
β€’ B
Question 8
β€’ What is 7 +
7
2
+
7
4
+
7
8
+ β‹―?
A. 14 B. 16 C. 20 D. 24
Answer
β€’ A
QUESTION 9
Given π‘₯2
βˆ’ 𝑦2
= 9, what is π‘₯ βˆ’ 𝑦?
A. 0 B. 1 C. 2 D. 3
Answer
β€’ B
QUESTION 10
If 𝑓(𝑐) is the remainder when a polynomial is divided by π‘₯ βˆ’ 𝑐, then what is the
remainder when 3π‘₯2
βˆ’ 4π‘₯ + 1 is divided by π‘₯ βˆ’ 3?
A. 14 B. 15 C. 16 D. 17
Answer
β€’ C
AVERAGE
QUESTION 1
Simplify
3203βˆ’3202
3202βˆ’3201.
Answer
β€’ 3
QUESTION 2
If π‘₯2 βˆ’ 𝑦2 = 4, what is π‘₯ βˆ’ 𝑦?
Answer
β€’ 2
QUESTION 3
β€’ Freddie borrowed β‚±3,000.00 at a simple interest rate of 2% per year.
How much is his debt after 2 years?
β€’ β‚±3,120.00
Question 4
β€’ If 𝑑 π‘₯ = π‘₯2
βˆ’ 1, what is 𝑑(π‘₯ + 1)?
Answer
β€’ π‘₯2
+ 2π‘₯ or π‘₯(π‘₯ + 2)
Question 5
β€’ Operation Β€ is defined as π‘ŽΒ€π‘ = 4π‘Ž βˆ’ 𝑏 + 12. What is the value of
(7Β€ βˆ’ 2)?
Answer
β€’ 42
DIFFICULT
QUESTION 1
β€’ What is the simple interest rate if you borrowed 5000 pesos with an
interest of 1,000 pesos after 2 years?
Answer
β€’ 10% or 0.1 or
1
10
QUESTION 2
β€’ If f x = 2π‘₯
and 2π‘₯
= 1, then what is f(2π‘₯+2
)?
Answer
β€’ 16
QUESTION 3
β€’ Given 𝑓 6 =
1
5
and 𝑓 𝑛 βˆ’ 1 = 𝑛 βˆ’ 1 𝑓(𝑛), what is 𝑓(5)?
Answer
β€’ 1
QUESTION 4
β€’ Given 𝑓 4 = 5, 𝑓 3 = 5, and 𝑓 𝑛 + 1 = 𝑓(𝑛) Γ— 𝑓(𝑛 βˆ’ 1), what is
𝑓(6)?
Answer
β€’ 125
QUESTION 5
Jay, John, and Justin are friends with different heights. Who is the
shortest if only one of the following statements is true?
I. Justin is not the tallest.
II. Jay is not the shortest.
III. John is the tallest.
Answer
β€’ John
CLINCHER
QUESTION 1
β€’ Given 𝑓 (π‘₯) = 2π‘₯ – 1 and 𝑔(π‘₯) = 2π‘₯ + 5, what is
f
g
(x) ?
β€’
2xβˆ’1
2x+5
QUESTION 2
β€’ Given 𝑓 (π‘₯) = 2π‘₯ + 3 and 𝑔 (π‘₯) = π‘₯ – 3, what is (𝑔 ∘ 𝑓 )(π‘₯) ?
β€’ 2π‘₯
QUESTION 3
β€’ What is the value of π‘₯ in the equation,
π‘₯βˆ’2
2π‘₯
=
2
3
?
Answer
βˆ’6
Question 4
β€’ Given 𝑔 (π‘₯) = 3π‘₯ – 2, what is 𝑔(1) ?
β€’ 1
Question 5
β€’ Given 𝑓 𝒙 =
𝒙+𝟐
π’™βˆ’πŸ
, what is the value of the domain?
β€’ All real numbers except 1

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