## ML Aggarwal Class 7 ICSE Maths Model Question Paper 4

(Based on Chapters 10 to 12)

**Time allowed: 1 Hour**

**Maximum Marks: 25**

**General Instructions**

- Questions 1-2 carry 1 mark each.
- Questions 3-5 carry 2 marks each.
- Questions 6-8 cany 3 marks each
- Questions 9-10 carry 4 marks each.

Choose the correct answer from the given four options (1-2):

Question 1.

In the given figure, if l || m then the value of x is

(a) 65°

(b) 105°

(c) 115°

(d) 125°

Solution:

Question 2.

A triangle whose two angles measure 40° and 100° is

(a) scalene

(b) isosceles

(c) equilateral

(d) right-angled

Solution:

Question 3.

In the given figure, lines l and m intersect at O. If ∠1 + ∠3 = 222°, then find the measure of ∠2.

Solution:

Question 4.

In the given figure, AB = AC. Find the value of x.

Solution:

Question 5.

If ∆PQR = ∆EFD, write the parts of ∆EFD that correspond to:

(i) ∠Q

(ii) \(\bar { PR }\)

(iii) ∠P

(iv) \(\bar { QR }\)

Solution:

Question 6.

In the given figure, l || m and p || q. Find the value of x, y, and z.

Solution:

Question 7.

In the given figure, AB = AC. Find the values of x and y.

Solution:

Question 8.

If the lengths of two sides of a triangle are 5 cm and 7.5 cm then what can be the length of the third?

Solution:

Question 9.

An apple orchard is in the shape of a rectangle. If its length is 60 m and the length of one diagonal is 75 m, then find:

(i) the breadth of the orchard.

(ii) the perimeter of the orchard.

Solution:

Question 10.

In the given figure, measures of some parts are given.

(i) State the three pairs of equal parts in ∆ABD and ∆ACD.

(ii) Is ∆ABD = ∆ACD? Give reason.

(iii) Is D mid-point of BC? Why?

Solution: