ANNUAL EXAMINATION - MARCH 2008

CLASS : VII SUBJECT: MATHEMATICS

MAX.MARKS:100

TIME: 3 hrs

SET - A

Instructions:

1. There are 25 questions in this paper divided into 3 sections.
2. All questions are compulsory. However, there is internal choice in every section.

SECTION - A

(Each question carries 3 marks)

1. Verify <math>(-31) \times [(-2) + (-8)] = [(-31) \times (-2)] + [(-31) \times (-8)]</math>.
2. The scores in Mathematics test (out of 100) of 9 students is as follows. 84, 92, 75, 97, 92, 90, 95, 84, 92. Find the mean, mode and median of this data.
3. Simplify combining like terms and find the value of the expression <math>a^2</math> - <math>ab - b^2 + b(a-b)</math>, If <math>a = (-2)</math>, <math>b = 1</math>
4. Out of 25,000 voters in a constituency 72% voted. Find the number of voters who did not vote?

OR 30% apples in a basket are rotten. How many apples are there in the basket if 135 apples are rotten?

1. Draw lines of symmetry and give the order of rotational symmetry for the following figure:

1. A shopkeeper buys a radio-set for Rs 550 and sells it for Rs 660. Find his loss percent or profit percent.

1. In a class test containing 12 questions, 5 marks are given for every correct answer and (-2) marks are given for every incorrect answer. Ria attempted all questions and got 5 correct and 7 incorrect answers. What is her total score?

1. Construct <math>\triangle PQR</math> with <math>PR = 7.5</math>cm, <math>QR = 5</math>cm and <math>\angle R = 70^{\circ}</math>.

1. The length and breadth of a rectangular park is 250m and 125m respectively. Find the area and perimeter of the park.
2. A 10m long ladder reached a window 8m high from the ground on placing it against a wall at a distance 'x' meters. Find the distance of the foot of the ladder from the wall.

SECTION B

Each question carries 4 marks)

1. Simplify: <math>\left[ \frac{5}{6} + \frac{(-18)}{15} \right] \div \left[ \frac{13}{15} \times \frac{3}{15} \right]</math>
2. In a garden there are 125 trees in which some are fruit trees. The numbers of non-fruit trees are five more than twice the number of fruit trees. Find the number of fruit trees.

OR Solve for m: <math>24 - 5 (m - 2) = 9</math>

1. a) Is it possible to have a triangle with sides 3cm, 4cm and 6cm? Give reasons.
2. Find the value of x and y in the following figure:

50

1. Using congruence criterion, show that <math>\triangle</math>ABC and <math>\triangle</math>CDA are congruent.

B 90 S.<br>R 90 C 3

1. Rs 30000 each were lent to Rajeev and Sanjeev at 6% per annum for a period of 3 years and 5 years respectively. Find the difference of interests paid by them.
2. Construct <math>\triangle ABC</math> if <math>AB = 7cm</math>, <math>\angle B = 40^{\circ}</math> and <math>\angle C = 45^{\circ}</math>