NOTE: Answers to all questions are given at the end of this exercise.

__Question No. 1:
__

**Into how many segments do 49 points divide a given Line segment?**

(a) study the diagram below and complete the table that follows.

(b) hence, write down the number of segments into which 49 points divided the given Line segment.

(c) how many points are needed to divide a given Line segment into 101 segments?

(a) study the diagram below and complete the table that follows.

(b) hence, write down the number of segments into which 49 points divided the given Line segment.

(c) how many points are needed to divide a given Line segment into 101 segments?

NOTE: Answers to all questions are given at the end of this exercise.

__Question No. 2:
__

**A group of 20 people goes to a restaurant for a buffet dinner. They request to be seated at the same table. The Restaurant has only small square tables that can be joined end to end to form a large long table. If each small square Table can seat only one person on each side, how many of such small Table are needed to seat this group of people?**

(a) study the diagram below and complete the tables (i) and (ii) that follows:

(b) how many tables will it take to seat.

(i) 20 people

(ii) 30 people?

(c) how many people can be seated if there are

(i) 22 tables

(ii) 36 tables?

(a) study the diagram below and complete the tables (i) and (ii) that follows:

(b) how many tables will it take to seat.

(i) 20 people

(ii) 30 people?

(c) how many people can be seated if there are

(i) 22 tables

(ii) 36 tables?

NOTE: Answers to all questions are given at the end of this exercise.

__Question No. 3:
__

**The diagram shows a Line segment, AB on which 18 points (P1, P2, …….., P18) are marked.**

(a) study the diagram below and complete the table that follows.

(b) what is the total number of possible Line segments in figure?

(a) study the diagram below and complete the table that follows.

(b) what is the total number of possible Line segments in figure?

NOTE: Answers to all questions are given at the end of this exercise.

__Question No. 4:
__

**The following diagram show a sequence of tiling patterns. The shape of each tile is a 1 cm by 1 cm square.**

(a) copy and complete the table below:

(b) find the number of white square in figure 9.

(c) Find the perimeter of figure 9

(d) Find the perimeter of the whole figure in figure n. (give your answer in terms of n)

(a) copy and complete the table below:

(b) find the number of white square in figure 9.

(c) Find the perimeter of figure 9

(d) Find the perimeter of the whole figure in figure n. (give your answer in terms of n)

NOTE: Answers to all questions are given at the end of this exercise.

__Question No. 5:
__

**A Man was trying to swim to a buoy placed at a distance of 200 m out in the sea. It took him 1 min to swim 20 m. Then a wave would push him back 10 m where he would rest for another 1 min before swimming again. He continued in this way for the rest of the journey. How long would it take the man to swim to the buoy.**

NOTE: Answers to all questions are given at the end of this exercise.

__Question No. 6:
__

**Consider the pattern:**

(a) write down the eighth Line in the pattern

(b) use the above pattern to find the value of

(c) find the value of p such that

(a) write down the eighth Line in the pattern

(b) use the above pattern to find the value of

(c) find the value of p such that

NOTE: Answers to all questions are given at the end of this exercise.

__Question No. 7:
__

**(a) write down the next two terms of the sequence**

(i) 3, 5, 7, 9, ……

(ii) 8, 12, 16, 20, ……

(iii) 4, 12, 24, 40, 60, ……

(iv) 5, 13, 25, 41, 61, ……

(b) consider the following pattern carefully:

3 + 4 = 5

5 + 12 = 13

7 + 24 = 25

9 + 40 = 41

11 + 60 = 61

Write down the next two lines in the pattern with the help of the number sequences in part (i)

(i) 3, 5, 7, 9, ……

(ii) 8, 12, 16, 20, ……

(iii) 4, 12, 24, 40, 60, ……

(iv) 5, 13, 25, 41, 61, ……

(b) consider the following pattern carefully:

3 + 4 = 5

5 + 12 = 13

7 + 24 = 25

9 + 40 = 41

11 + 60 = 61

Write down the next two lines in the pattern with the help of the number sequences in part (i)

**Answers**

**(from left to right)**

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