PM SHRI KENDRIYA VIDYALAYA GACHIBOWLI,GPRA CAMPUS,HYD–32
PRACTICE PAPER 12 (2024-25)
CHAPTER-10 HERON'S FORMULA
SUBJECT: MATHEMATICS MAX. MARKS : 40
CLASS : IX DURATION : 1½ hrs
General Instructions:
(i). All questions are compulsory.
(ii). This question paper contains 20 questions divided into five Sections A, B, C, D and E.
(iii). Section A comprises of 10 MCQs of 1 mark each. Section B comprises of 4 questions of 2 marks
each. Section C comprises of 3 questions of 3 marks each. Section D comprises of 1 question of 5
marks each and Section E comprises of 2 Case Study Based Questions of 4 marks each.
(iv). There is no overall choice.
(v). Use of Calculators is not permitted
SECTION – A
Questions 1 to 10 carry 1 mark each.
1. The length of each side of an equilateral triangle having an area of 9 3 cm2 is
(a) 8 cm (b) 36 cm (c) 4 cm (d) 6 cm
2. The perimeter of an equilateral triangle is 60 m. The area is
(a) 10 3 m2 (b) 15 3 m2 (c) 20 3 m2 (d) 100 3 m2
3. The height of an equilateral triangle is 6 cm. Its area is
(a) 12 3 cm2 (b) 6 3 cm2 (c) 12 3 cm2 (d) 18 cm2
4. The lengths of three sides of a triangle are 20 cm, 16 cm and 12 cm. The area of the triangle is
(a) 96 cm2 (b) 120 cm2 (c) 144 cm2 (d) 160 cm2
5. If the side of rhombus is 10 cm and one diagonal is 12 cm, then area of rhombus is
(a) 96 cm2 (b) 48 cm2 (c) 72 cm2 (d) 80 cm2
6. The area of an equilateral triangle with side 4 3 cm is
(a) 20 cm2 (b) 20 3 cm2 (c) 18.784 cm2 (d) 20.784 cm2
7. The base of a right triangle is 8 cm and hypotenuse is 10 cm. Its area will be
(a) 24 cm2 (b) 40 cm2 (c) 48 cm2 (d) 80 cm2
8. Sides of a triangle are 8 cm, 11 cm and 13 cm. Then value of ‘s’ is
(a) 19 cm (b) 20 cm (c) 21.5 cm (d) 16 cm
In the following questions 9 and 10, a statement of assertion (A) is followed by a statement of
Reason (R). Choose the correct answer out of the following choices.
(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.
9. Assertion (A): Area of an equilateral triangle having each side 4 cm is 4√3 cm2
3
Reason (R): Area of an equilateral triangle = ( Side ) 2
4
10. Assertion (A): Area of a triangle is 6 cm2 whose sides are 3 cm, 4 cm and 5 cm respectively.
Reason (R): Area of triangle = s ( s a)( s b)( s c)
Prepared by: M. S. KumarSwamy, TGT(Maths) Page - 1 -
PRACTICE PAPER 12 (2024-25)
CHAPTER-10 HERON'S FORMULA
SUBJECT: MATHEMATICS MAX. MARKS : 40
CLASS : IX DURATION : 1½ hrs
General Instructions:
(i). All questions are compulsory.
(ii). This question paper contains 20 questions divided into five Sections A, B, C, D and E.
(iii). Section A comprises of 10 MCQs of 1 mark each. Section B comprises of 4 questions of 2 marks
each. Section C comprises of 3 questions of 3 marks each. Section D comprises of 1 question of 5
marks each and Section E comprises of 2 Case Study Based Questions of 4 marks each.
(iv). There is no overall choice.
(v). Use of Calculators is not permitted
SECTION – A
Questions 1 to 10 carry 1 mark each.
1. The length of each side of an equilateral triangle having an area of 9 3 cm2 is
(a) 8 cm (b) 36 cm (c) 4 cm (d) 6 cm
2. The perimeter of an equilateral triangle is 60 m. The area is
(a) 10 3 m2 (b) 15 3 m2 (c) 20 3 m2 (d) 100 3 m2
3. The height of an equilateral triangle is 6 cm. Its area is
(a) 12 3 cm2 (b) 6 3 cm2 (c) 12 3 cm2 (d) 18 cm2
4. The lengths of three sides of a triangle are 20 cm, 16 cm and 12 cm. The area of the triangle is
(a) 96 cm2 (b) 120 cm2 (c) 144 cm2 (d) 160 cm2
5. If the side of rhombus is 10 cm and one diagonal is 12 cm, then area of rhombus is
(a) 96 cm2 (b) 48 cm2 (c) 72 cm2 (d) 80 cm2
6. The area of an equilateral triangle with side 4 3 cm is
(a) 20 cm2 (b) 20 3 cm2 (c) 18.784 cm2 (d) 20.784 cm2
7. The base of a right triangle is 8 cm and hypotenuse is 10 cm. Its area will be
(a) 24 cm2 (b) 40 cm2 (c) 48 cm2 (d) 80 cm2
8. Sides of a triangle are 8 cm, 11 cm and 13 cm. Then value of ‘s’ is
(a) 19 cm (b) 20 cm (c) 21.5 cm (d) 16 cm
In the following questions 9 and 10, a statement of assertion (A) is followed by a statement of
Reason (R). Choose the correct answer out of the following choices.
(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.
9. Assertion (A): Area of an equilateral triangle having each side 4 cm is 4√3 cm2
3
Reason (R): Area of an equilateral triangle = ( Side ) 2
4
10. Assertion (A): Area of a triangle is 6 cm2 whose sides are 3 cm, 4 cm and 5 cm respectively.
Reason (R): Area of triangle = s ( s a)( s b)( s c)
Prepared by: M. S. KumarSwamy, TGT(Maths) Page - 1 -
