UPSKILL MATH PLUS

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### Theory

 1 Introduction 2 Basic proportionality or Thales theorem 3 Angle bisector theorem and its converse 4 Types of construction of triangle 5 Construction of a triangle when its base, vertical angle and median are given 6 Construction of a triangle when its base, vertical angle and altitude are given 7 Construction of a triangle if its base, vertical angle and the point on the base are given

### Textbook Questions

 1 Multiple choice question Difficulty: easy 2 2 Two mark example problems I Difficulty: medium 4 3 Two mark example problems II Difficulty: medium 2 4 Two mark exercise problems I Difficulty: medium 2 5 Two mark exercise problems II Difficulty: medium 4 6 Two mark exercise problems III Difficulty: medium 0 7 Five mark example problems I Difficulty: medium 5 8 Five mark example problems II Difficulty: medium 5 9 Five mark exercise problems I Difficulty: medium 5 10 Five mark exercise problems II Difficulty: medium 5 11 Five mark exercise problems III Difficulty: medium 5 12 Five mark exercise problems IV Difficulty: medium 0 13 Five mark exercise problems V Difficulty: medium 0 14 Five mark exercise problems VI Difficulty: medium 0 15 Five mark exercise problems VII Difficulty: medium 0 16 Five mark exercise problems VIII Difficulty: hard 0 17 Five mark exercise problems IX Difficulty: hard 5 18 Five mark exercise problems X Difficulty: hard 0 19 Eight mark example problems I Difficulty: hard 0 20 Eight mark example problems II Difficulty: hard 0 21 Eight mark example problems III Difficulty: hard 0 22 Eight mark exercise problems I Difficulty: hard 0 23 Eight mark exercise problems II Difficulty: hard 0 24 Eight mark exercise problems III Difficulty: hard 0 25 Eight mark exercise problems IV Difficulty: hard 0 26 Eight mark exercise problems V Difficulty: hard 0 27 Eight mark example problems VI Difficulty: hard 0

### Practice Questions

 1 Calculate the side AD of triangle ABC Difficulty: easy 1 2 Determine the side CB of triangle ABC Difficulty: easy 3 3 Calculate the value of the variable Difficulty: easy 3 4 Find the length of AE of triangle ABC Difficulty: easy 3 5 Determine the value of the variable Difficulty: medium 4 6 Find the side length of the triangle Difficulty: medium 4 7 Check whether the lines of the triangle are parallel Difficulty: medium 4 8 Determine the length of PM Difficulty: medium 4 9 Calculate the length of PT and VQ Difficulty: medium 4 10 Check whether CD is the bisector of angle C Difficulty: medium 4 11 Observe the picture and answer the questions Difficulty: hard 6 12 Determine the height of the small tree Difficulty: hard 5 13 Calculate the height of the mother Difficulty: hard 5 14 Verify the trees are parallel Difficulty: hard 5

### Key Questions for School Exam Preparation

 1 Answer the following questions Difficulty: hard 9 2 Prove the following Difficulty: medium 2

### Teacher manual

 1 Methodical recommendation