ANNUAL EXAMATION (March- 2007)

Class: VII

Max marks: 100

Subject: Mathematics

Max Time: 3hrs

SET-A

General Instructions:

lacktrian All Questions are Compulsory

• Question 1 – 10 carry 3 marks each
• Question 11 - 20 carry 4 marks each.
• Question 21 - 25 carry 6 marks each.

SECTION-A

<math>10 \times 3 = 30</math>

1. Use identity to find the product of <math>(10x - 7)^2</math>
2. Factorise: <math>x^2 + 8x + 16</math>
3. What number should be added to <math>\frac{-5}{8}</math> so as to get <math>\frac{4}{9}</math>?
4. In the given figure AC = CD and <math>\angle BAC = \angle EDC</math>.
5. Is <math>\angle ACB = \angle ECD</math>? Why?

В

1. Is <math>\triangle ABC \cong \triangle DEC</math> by ASA congruence condition?

1. State the three facts you have used to answer (b).
2. (a) A class room is 12m long, 10m wide and 6m high. Find the areas of the four walls.

OR

1. Find the surface area of a cuboid that measures 6cm, 4cm and 2cm.
2. A cuboidal vessel is 10cm long and 8cm wide. If it can hold 480cm³ of water, what must be its height?
3. A man saves Rs.600 per month in his account. If this is 15 % of his monthly income, find his monthly income.
4. <math>v+4</math> Solve: <math>2y+5 = 1</math> and verify your result.
5. The sum of three consecutive integers is 198. What are the integers?

1. In the given figure <math>\triangle ABC</math> is inscribed in a circle with AB as the diameter.

If <math>\angle B = 48^{\circ}</math>, find <math>\angle CAB</math>

48 A B

SECTION-B

<math>10 X 4 = 40</math>

1. Find x such that <math>\left[\frac{2}{9}\right]^{-5} \times \left[\frac{2}{9}\right]^{-11} \div \left[\frac{2}{9}\right]^{8} = \left[\frac{2}{9}\right]^{-8x}</math>
2. Evaluate and express the result in the form of <math>\left(\frac{p}{q}\right)^2</math>: <math>(2.2)^2 \times (2.5)^2</math>
3. Find the value of p if <math>5p = 47^2 - 42^2</math> b) Evaluate using identity: <math>(102)^2</math>
4. Factorise: a) <math>25a^2 - 49b^2</math> b) <math>9x + 3xy</math>
5. Vijay is 12 years elder than his sister. After four years, his age will be thrice of his sister's present age. Find their present ages.
6. In the given figure, <math>\angle ACB = 60^{\circ}</math>, <math>\angle ABD = 50^{\circ}</math> find the value of x

D 60 50 A В

1. (a) At what rate percent per annum will Rs.800 amount to Rs.1000 in 2 years? OR
2. Find the time if the sum Rs.2100 yields Rs.735 as simple interest at 10% per annum?
3. Simplify <math>\frac{1}{3} + \frac{1}{4} + \frac{1}{5}</math>. Express the result as a decimal. Is it terminating or non terminating?
4. The angles of a quadrilateral are in the ratio 1:2:7:8. Find the angles.