#### Term 1 Five Marks Model Questions

9th Standard

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Maths

Time : 01:30:00 Hrs
Total Marks : 50
10 x 5 = 50
1. In a village of 100 families, 65 families buy Tamil newspapers and 55 families buy English newspapers. Find the number of families who buy
(i) Both Tamil and English newspapers.
(ii) Tamil newspapers only
(iii) English newspapers only.

2. A and B are two sets such that n(A – B) = 32 + x, n(B – A) = 5x and n(A∩B) = x. Illustrate the information by means of a Venn diagram. Given that n(A) = n(B), calculate the value of x.

3. Find any two irrational numbers between$\frac { 6 }{ 7 }$ and $\frac { 12 }{ 13 }$

4.  Express$\frac { 1 }{ 13 }$ in decimal form. Find the length of the period of decimals

5. Classify the numbers as rational or irrational
(i) $\sqrt { 10 }$
(ii) $\sqrt { 49 }$
(iii) 0.025
(iv) $0.7\overline { 6 }$
(v) 2.505500555...
(vi) $\frac { \sqrt { 2 } }{ 2 }$

6. The length of a rectangle is (3x+2) units and it’s breadth is (3x–2) units. Find its area in terms of x. What will be the area if x = 20 units.

7. Classify the following polynomials.

S.No Polynomial Based on number of terms Based on their degree
1 $\frac { { x }^{ 2 } }{ \sqrt { 2 } } +x+1$
2 $\sqrt { 5 } { x }^{ 2 }-\frac { 6 }{ 5 } x$
3 1
4 ${ m }^{ 4 }-\frac { 6 }{ 7 } { m }^{ 2 }-6m+2.7$
5 $\frac { { t }^{ 3 } }{ \sqrt { 6 } } +\frac { { t }^{ 4 } }{ 4 } -t$
8. Construct ΔABC with AB = 5 cm ㄥB = 1000 and BC = 6 cm. Also locate its circumcentre draw circumcircle.

9. In a parallelogram ABCD, the bisectors of the consecutive angles ∠A and ∠B intersect at P. Show that ∠APB = 90o.

10. Show that the points A(7,10), B(-2,5), C(3,-4) are the vertices of a right angled triangle.