Mathematics

Date:

Time: 3 hrs

Class: VII

M. M: 90

General Instructions:

1. Read the question paper carefully and answer legibly.
2. All questions are compulsory.
3. The question paper consist of 31 questions divided into four sections A,B,C and D
4. Section A comprises of 4 question of 1 mark each, section B comprises of 6 questions of 2 marks each, Section C comprises of 10 questions of 3 marks each and Section D comprises of 11 questions of 4 marks each
5. Use of calculators is not permitted.

Section - A

Q1. Find the supplement of 75°. 1

Q2. In <math>\triangle PQR</math> and <math>\triangle STU</math>, <math>PQ = ST</math>, <math>\angle P = \angle S</math> and <math>\angle Q = \angle T</math>. Name the congruence criterion by 1

which the two triangles will be congruent. Q3. Write a pair of negative integers whose difference is -10. Q4. Compare: <math>5.05 \times 10^5</math> and <math>5.5 \times 10^4</math> 1

Section – B

Q5. Solve <math>5l - 4 = 21</math>. 2

Q6. a) Express 253.52324 in the standard form. 2

1. To what power (-2) should be raised to get -32?

Q7. If <math>\triangle PQR \cong KS</math>, write all the corresponding sides and angles of both the triangles which 2

will be equal.

Q8. Find the value of x. if <math>l \parallel m</math> 2 <math>135^{\circ}</math> → m 2

Q9. Shubham withdraws Rs. 6000 from his bank account in which he deposited Rs.8,500 the previous week. If withdrawal of amount from the account is represented by a negative integer, then how will you represent the amount deposited? Find the balance in Shubham's account after withdrawal. 2

Q10. Find 3 rational numbers between <math>\frac{-2}{5}</math> and <math>\frac{-1}{8}</math>.

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Section – C

3 Q11. In the given figure the arms of two angles are parallel. If <math>\angle ABC = 75^{\circ}</math> then find the <math>\angle DGC</math> and <math>\angle DEF</math>.

<math>75^{0}</math> В Ε 3

Q12. The perimeter of a triangle is 81cm and the lengths of the sides are in the ratio 2:3:4. Find the lengths of the three sides. 1 ½

Q13. Simplify using laws of exponents:<br> a) <math>(-1)^{199} \times (-2)^4</math><br> b) <math>[3^2]^3</math>

1 ½ 3 Q14. In an isosceles <math>\triangle PQR</math>, in which <math>PQ = PR</math>, PN is the median to the side QR. Is <math>\triangle PNQ \cong \triangle</math> PNR ? Give reasons to support your answer. 3 Q15. Anvesha thinks of a number. If she takes 7 away from <math>\frac{3}{2}</math> of that number, the result is 23. Find the number.

Q16. In a class of 45 students, ½ of the total number of students like to study English, 2 of the total 3

number like to study Mathematics and the remaining students like to study Science.

1. How many students like to study Mathematics?
2. How many students like to study Science?

3 Q17. After simplifying put appropriate sign in the blank. <math>40 + (-19) - 18</math> <math>40 - (-19) + (-18)</math> 3 Q18. Ranbir's father's age is 5 years more than 3 times Ranbir's age. Find Ranbir's age, if his father is 32 years old.

Q19. a) Arrange the following in ascending order: <math>\frac{-3}{8}</math>, <math>\frac{-3}{2}</math>, <math>\frac{-3}{4}</math> 3

1. Represent <math>\stackrel{-7}{\text{o}}</math> on the number line.

3 Q20. Find the value of x, y, z if <math>l \parallel m</math> and <math>p \parallel q</math>.

<math>105^0</math> X Z

<math>75^{0}</math> y m

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