Page 224 - Maths Skills - 8

222 Maths

Assertion-Reason Based Questions
Directions for Questions 19 to 20: In each of the questions given below, there are two statements marked as
Assertion (A) and Reason (R). Mark your answer as per the codes provided below:

(a) Both A and R are true and R is the correct explanation of A.
(b) Both A and R are true but R is not the correct explanation of A.
(c) A is true but R is false. (d) A is false but R is true.
19. Assertion (A) : In a quadrilateral ABCD, diagonals AC and BD bisect each other at their mid points.

Reason (R) : All quadrilaterals are parallelogram.
20. Assertion (A) : The largest part of a pie chart represents the category with maximum data.
Reason (R) : Pie chart is a tool to illustrate the numerical problems.

SUBJECTIVE BASED QUESTIONS

21. The diagonal of a radius are in the ratio 3:4. If perimeter is 40 cm find the length of the sides and
diagonals of the rhombus.
22. An iron pipe is 21 m long and its exterior diameter is 8 cm. If the thickness of the pipe is 1 cm and
22
3
iron weights 8 gm/cm , find the weight of the pipe. Use= 7

23. A cylinder of curved surface area 1250 m is formed from a rectangular metallic sheet. Find the
2
dimensions of the rectangular sheet if its length is double its breadth. or
In the given figure, PQRS is a parallelogram. T is the midpoint S R
of PQ and ST bisects ∠S, then prove that:
(a) QR = QT (b) RT bisects ∠R

(c) ∠STR = 90°
P T Q
24. The length, breadth and the height of a cuboidal box are 2.1 cm , 1 m and 80 cm respectively find:
(i) Area of canvas required to cover this box.
(ii) Cost of canvas required to cover the box ` 45 per m .
2
25. The curved surface area of cylindrical pillar is 264 m and its volume is 924 m . Find diameter of
3
2
the pillar.
26. Plot the following points and write the name of the figure so obtained. Find the coordinate of the
points at which line SP meets the x-axis.
S (–5, 3), P (–4, 4), A (3, –2), N (5, 2)

27. The diameter of circle in (cm) drawn in a design are given below. Construct a histogram for the data.
Diameter 35–40 40–45 45–50 50–55 55–60
Number of Circles 10 15 25 20 35

28. In the given parallelogram PQRS Q P
110°
∠PQR = 110°, find ∠PST

R S T