**Answer any four question from 1 to 5.Each carries 2 sores. (4*2=8)**

** 1. In the picture △ ABC is isosceles with AB=AC. <B=40ᶿ (a) What is the measure of <c? (b) Find <A.**

**2. One outer angle of a regular polygon is 72ᶿ. (a) Find the number of sides. (b) Find the measure of one inner angle.**

**3. (a) For getting (30+2)**^{2}**,which number is added to ** **30**^{2}**+2**^{2}** (b) For getting ** **(x+y)**^{2}**,which number is added to** **x**^{2}**+y**^{2}**,**

**4. Can the sides of a triangle be in the ratio 2:3:5.why?**

**5. Draw a square with diagonal 6cm.**

**Answer any 4
questions from 6 to 11.Each carries 3 scores.
(4*3=12)**

**6. The length and breadth of a rectangle are in the ratio 3:2.The perimeter is 80cm. (a) What is length+breadth. (b) Find the length and breadth.**

**7. One side of a rhombus is 13cm long and its smaller diagonal hasnlength 10cm.Find the length of the larger diagonal. **

**8. Draw a paeallelogram with one side 5cm and the lengths of its diagonals are 8cm and 6cm.**

**9. A TV manufacture reduces the price of a particular model by 5% every year.The current price of this model is 8000 rupees. What would be the price after 3 years?**

**10. Find the following. (a) 31*41 (b) ** **102**^{2}** (c) 86**^{2}**-14**^{2}

**11. Two quantities are in the ratio 3:5.If the smaller is doubled and the larger is halved,what would be the ratio be.**

**Answer any 4
questions from 12 to 17.Each crries 4 scores. (4*4=6)**

**12. In the picture ABCDEF is a regular hexagon.**

**a) what is the measure of one angle of a regular hexagon. b) Prove that △ BDF is an equilateral triangle.**

**13. A squre of 9 numbers from a callender is given. B+H=20.Find all the numbers.**

**14. Naveen borrowed 24000 rupees from a bank at 10% interest compounded half yearly.At the end of first year Naveen replayed 6460 rupees.Then what is the total Naveen has to repay at the end of 2 years.**

**15. In the picture four equals trapeziums are joined to form the pattern.Draw this picture.**

**16. In the quadrilateral ABCD AB=6cm ,BC=4cm,CD=7cm,AD=5cm,AC=8cm.Draw the quadrilateral ABCD**

**17. Look at the following number pattern. 5**^{2}**-1**^{2}**=8*3 6**^{2}**-2**^{2}**=8*4 7**^{2}**-3**^{2}**=8*5 8**^{2}**-4**^{2}**=8*6 (a) Write the next two lines. (b) Explain the general principle by using algebra. **

**Read
the following mathematical concept and answer the questions below (4*1=4)**

**18. Look at the following number pattern.** **4**^{2}**-9=1*7 5**^{2}**-9=2*8 6**^{2}**-9=3*9 7**^{2}**-9=4*1** ………………. ……………….

**(a) 8**^{2}**-9=………… (b) 9**^{2}**-9= 6*12 (c) 20**^{2}**-9=……………*…………. (d) (x+3)**^{2}**-9=………………………**