H2 Math Summary Notes

Thank You for Purchasing Our H2 Math Summary Notes!
Pure Mathematics
Unit 1 Inequalities
Basics of Test Point Method
Unit 2 Graphing Techniques
Worked Example 1
Worked Example 2
Worked Example 3
Worked Example 4
Worked Example 5
Worked Example 6
Worked Example 7
Unit 3 Transformation of Graphs
Worked Example 1 (i)
Worked Example 1 (ii)
Unit 4 Functions
Conceptual Video
How to Use GC to Plot an Inverse Graph
Worked Example 1
Worked Example 2
Worked Example 3
Worked Example 4
Unit 5 APGP & Recurrence Relations
Conceptual Video
Worked Example 1
Worked Example 2
Worked Example 3
Worked Example 4
Worked Example 5
Unit 6 Sigma Notation
Worked Example 1
Worked Example 2
Worked Example 3
Worked Example 4
Worked Example 5
Worked Example 6
Unit 7 Techniques of Differentiation
Worked Example 1
Worked Example 2
Unit 8 Applications of Differentiation
Worked Example 1
Worked Example 2
Worked Example 3
Worked Example 4
Worked Example 5
Worked Example 6
Worked Example 7
Worked Example 8
Worked Example 9
Unit 9 Maclaurin Series
Worked Example 1
Worked Example 2
Unit 10 Techniques of Integration
Conceptual Video
Worked Example 1
Worked Example 2
Worked Example 3
Worked Example 4
Worked Example 5
Unit 11 Applications of Integration
Conceptual Video
Worked Example 1
Worked Example 2
Worked Example 3
Unit 12 Differential Equations
Worked Example 1
Worked Example 2
Unit 13 Vectors
Conceptual Video
Unit 13.1 Worked Example 1
Unit 13.1 Worked Example 2
Unit 13.1 Worked Example 3
Unit 13.1 Worked Example 4
Unit 13.1 Worked Example 5
Unit 13.2 Worked Example 1
Unit 13.2 Worked Example 2
Unit 13.2 Worked Example 3
Unit 13.2 Worked Example 4
Unit 13.2 Worked Example 5
Unit 14 Complex Numbers
Worked Example 1
Worked Example 2
Worked Example 3
Worked Example 4
Worked Example 5
Worked Example 6
Statistics
Unit 15 Permutation and Combinations
Worked Example 1
Worked Example 2
Worked Example 3
Worked Example 4
Worked Example 5
Worked Example 6
Worked Example 7
Unit 16 Probability
Worked Example 1
Worked Example 2
Worked Example 3
Worked Example 4
Worked Example 5
Unit 17 Discrete Random Variable
Worked Example 1
Worked Example 2
Worked Example 3
Worked Example 4
Unit 18 Binomial Distribution
Worked Example 1
Worked Example 2
Worked Example 3
Worked Example 4
Worked Example 5
Unit 19 Normal Distribution
Worked Example 1
Worked Example 2
Worked Example 3
Worked Example 4
Worked Example 5
Worked Example 6
Worked Example 7
Unit 20 Sampling and Estimation
Worked Example 1
Worked Example 2
Worked Example 3
Worked Example 4
Worked Example 5
Worked Example 6
Worked Example 7
Worked Example 8
Unit 21 Hypothesis Testing
Worked Example 1
Worked Example 2
Worked Example 3
Worked Example 4
Worked Example 5
Worked Example 6
Unit 22 Correlation and Linear Regression
Worked Example 1
Worked Example 2
Worked Example 3
Worked Example 4
Worked Example 5
Previous Lesson
Next Lesson

Basics of Test Point Method

H2 Math Summary Notes Unit 1 Inequalities Basics of Test Point Method

Q1

Solve [latex]x\left( 2-x \right)\left( x-3 \right)>0[/latex].

Q2

Solve [latex]\left( x+5 \right)\left( 2x+1 \right)\left( x-4 \right)\le 0[/latex].

Q3

Solve [latex]\left( x+5 \right){{\left( x+3 \right)}^{2}}\left( x-4 \right)\ge 0[/latex].

Q4

Solve [latex]\left( 3-2x \right){{\left( 2x-5 \right)}^{2}}\left( x+1 \right)\ge 0[/latex].

Q5

Solve [latex]\left( 3-{{x}^{2}} \right){{\left( 1-x \right)}^{2}}\left( {{x}^{2}}+2 \right)>0[/latex].

Q6

Solve [latex]{{x}^{2}}\left( 5-{{x}^{2}} \right)\left( {{x}^{2}}+x+5 \right)\le 0[/latex].

Q7

Solve [latex]\frac{(2x-5)(x-1)}{x(x+2)}\ge 0[/latex].

Q8

Solve [latex]\frac{(x+2)(3x+2)}{x(x-1)}\le 0[/latex].

Q9

Solve [latex]\frac{{{x}^{2}}+1}{{{x}^{2}}(x-1)}\ge 0[/latex].

Q10

Solve [latex]\frac{x-5-{{x}^{2}}}{({{x}^{2}}+1)(x+2)}\le 0[/latex].

Q11

Solve [latex]\frac{(x+2)(3x+2)}{x{{(x-1)}^{2}}}\le 0[/latex].

Q12

Solve [latex]\frac{(1-x)\left( 3x-5 \right)}{x{{\left( x-1 \right)}^{3}}}\ge 0[/latex].

Previous Lesson
Back to Lesson
Next Lesson

Leave a Comment