UPSKILL MATH PLUS

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### Theory

 1 Modular arithmetic 2 Congruence modulo 3 Connecting Euclid's division lemma and modular arithmetic 4 Modulo operations

### Textbook Questions

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

### Practice Questions

 1 Find the missing number Difficulty: easy 2 2 Choose the possible values of x Difficulty: easy 2 3 Select the best choice Difficulty: easy 2 4 Subtraction and multiplication in modular arithmetic Difficulty: medium 4 5 Find the remainder Difficulty: medium 4 6 Calculate the smallest positive value Difficulty: medium 4 7 Who is correct? Difficulty: hard 5 8 Determine the time Difficulty: hard 5

### Key Questions for School Exam Preparation

 1 Find the day when Vani celebrated her birthday Difficulty: hard 5 2 Find the arrival time of the train Difficulty: hard 5 3 Find the landing time of the flight Difficulty: hard 5

### Worksheets

 1 Worksheet I Difficulty: medium 10 2 Worksheet II Difficulty: medium 14

### Teacher manual

 1 Methodical recommendation