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2026 Mothertongue National Academic Achievement Test Questions, High School 2 Probability and Statistics
2026 Mothertongue National Academic Achievement Test Questions, High School 2 Probability and Statistics
Description
Book Introduction
Top Past Questions from the National Academic Achievement Test 2024-2025 in Comparison with the New Curriculum (Revised 2022)
+ 2028 College Scholastic Ability Test Sample Questions
+ Excellent questions from the Evaluation Institute conducted from 2002 to 2025
+ Basic concept questions and descriptive questions for school exam preparation → 826 questions in total

Systematic problem placement by corner, allowing for step-by-step learning
① Basic concept problems ② Type mastery problems ③ Descriptive problems
④ Highest difficulty problems ⑤ Mock tests by unit
→ 3 units, 8 intermediate units, 59 types, 8 mock tests per unit

A friendly and detailed explanation that fills in the gaps.
Free video lectures explaining all types of concepts

[Special Appendix]
① OMR cards for each day that allow for practical practice
② Mobile commentary viewer
  • You can preview some of the book's contents.
    Preview

index
Ⅰ.
Number of cases
1.
Various permutations
Concept Check / Basic Concept Questions
Type 01.
Duplicate permutation
Type 02.
Number of sets using duplicate permutation
Type 03.
Permutations that have the same thing
Type 04.
Permutations with the same thing - character array
Type 05.
Utilization of permutations that have the same thing
Type 06.
Number of cases of taking the shortest path - points that must be passed
Type 07.
Number of cases of taking the shortest path - impassable points
Type 08.
Number and permutations of functions
Descriptive questions
Highest difficulty problem

2.
Duplicate combination
Concept Check / Basic Concept Questions
Type 01.
Duplicate combination
Type 02.
Duplicate combination - female case
Type 03.
Overlapping Combinations - Finding Non-Negative Integer Solutions
Type 04.
Overlapping Combinations - Finding Non-Negative Integer Solutions Including Complex Conditions
Type 05.
Overlapping combinations - inequality conditions
Type 06.
Utilization of duplicate combinations
Type 07.
Number and combination of functions
Descriptive questions
Highest difficulty problem

3.
binomial theorem
Concept Check / Basic Concept Questions
Type 01.
Binomial theorem (1)
Type 02.
Binomial theorem (2)
Type 03.
Binomial theorem (3)
Type 04.
Application of the binomial theorem
Type 05.
Binomial theorem and proof
Type 06.
Properties of binomial coefficients
Descriptive questions
Highest difficulty problem

Ⅱ.
probability
1.
Various probabilities
Concept Check / Basic Concept Questions
Type 01.
Number of cases and mathematical probability
Type 02.
Permutations and mathematical probability
Type 03.
Combinatorics and mathematical probability
Type 04.
Addition theorem of probability
Type 05.
Addition Theorem of Probability - Betrayal Case
Type 06.
Probability of a female event
Descriptive questions
Highest difficulty problem

2.
Conditional probability
Concept Check / Basic Concept Questions
Type 01.
Conditional probability
Type 02.
Conditional probability - given a table
Type 03.
Conditional probability - when no table is given
Type 04.
Multiplication theorem of probability
Type 05.
Applications of Conditional Probability (1)
Type 06.
Applications of Conditional Probability (2)
Type 07.
Independence and dependence of events
Type 08.
Probability of independent events
Descriptive questions
Highest difficulty problem

Ⅲ.
statistics
1.
discrete probability distribution
Concept Check / Basic Concept Questions
Type 01.
Probability distribution of discrete random variables
Type 02.
Expectation and variance of discrete random variables
Type 03.
Expectation and Variance of Discrete Random Variables - When Tables Are Not Given
Type 04.
Expectation and Variance of Discrete Random Variables - Blank Inference
Type 05.
Expected value and variance of random variable aX+b
Type 06.
binomial distribution
Type 07.
Independent trials and binomial distribution
Descriptive questions
Highest difficulty problem

2.
continuous probability distribution
Concept Check / Basic Concept Questions
Type 01.
Continuous random variables and probability density functions
Type 02.
Various probability density functions - symmetric, increasing/decreasing, and interval-separated
Type 03.
Properties of the normal distribution curve
Type 04.
Standardization of the normal distribution
Type 05.
Application of normal distribution standardization
Type 06.
Applying Normal Distribution Standardization - Finding Cutoffs and Unknown Variables
Type 07.
Relationship between binomial and normal distributions
Type 08.
Application of Normal Distribution Standardization - Binomial Distribution
Descriptive questions
Highest difficulty problem

3.
statistical estimation
Concept Check / Basic Concept Questions
Type 01.
Expected value and standard deviation of the sample mean
Type 02.
Sample mean in a population that follows a normal distribution
Type 03.
Use of sample mean
Type 04.
Using the Sample Mean and Standard Normal Distribution - Finding Probability
Type 05.
Using the Sample Mean and Standard Normal Distribution - Finding Unknown Variables
Type 06.
Estimation of the population mean
Type 07.
Properties of confidence intervals
Type 08.
Distribution of sample proportions
Type 09.
Estimation of the population ratio
Descriptive questions
Highest difficulty problem

Mock tests for each unit to prepare for school exams
1st Ⅰ-1.
Various permutations
2nd time Ⅰ-2.
Duplicate combination
3rd time Ⅰ-3.
binomial theorem
4th episode Ⅱ-1.
Various probabilities
5th Ⅱ-2.
Conditional probability
6th Ⅲ-1.
discrete probability distribution
7th Ⅲ-2.
continuous probability distribution
Episode 8 III-3.
statistical estimation

Detailed image
Detailed Image 1
GOODS SPECIFICS
- Date of issue: October 29, 2025
- Page count, weight, size: 512 pages | 225*300*35mm
- ISBN13: 9791175630123
- ISBN10: 1175630128
- Reference book for grade level: 2nd year of high school
- Reference book usage semester: Common semester

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