ICSE Class 9 Mathematics Previous Year Question Paper Download in PDF. This Old Question Paper also known as ICSE Specimen Paper Class 9 Mathematics included all Chapter of ICSE Syllabus Pure Arithmetic, Commercial Mathematics, Algebra, Geometry, Statistics, Mensuration, Trigonometry, Co-ordinate Geometry.
ICSE Class 9 Mathematics Previous Year Question Paper from Chapter Pure Arithmetic, Commercial Mathematics, Algebra, Geometry, Statistics, Mensuration, Trigonometry, Co-ordinate Geometry
Question 1:
(a) Rationalize the denominator:
14/5√3-√5
(b) Factorize the given expression completely:
62 + 7 − 5
(c) In the given figure, AB = 1/2 BC, where BC = 14 cm (Use π = 22/7). Find:
(i) Area of quad. AEFD DABC
(ii) Area of
(iii) Area of semicircle.
Hence find the area of shaded region.
Question 2:
(a) Mr. Ravi borrows ₹16,000 for 2 years. The rate of interest for the two successive years are 10% and 12% respectively. If he repays ₹5,600 at the end of first year, find the amount outstanding at the end of the second year.
(b) Simplify:
(8/27)-1/3 × (25/4)1/2 × (4/9)0 + (125/64)1/3
(c) In the given figure, ABCD is a parallelogram. AB is produced to P, such that AB = BP and PQ is drawn parallel to BC to meet AC produced at Q. Given AB = 8 cm, AD = 5 cm, AC = 10 cm.
(i) Prove that point C is mid point of AQ.
(ii) Find the perimeter of quadrilateral BCQP.
Question 3:
(a) Solve following pairs of linear equations using cross-multiplication method:
5x – 3y = 2
4x + 7y = -3
(b) Without using tables, evaluate:
4 tan 60° sec 30° + sin31° sec59° + cot59° cot31°/8sin230° – tan245°
(c) Construct a frequency polygon for the following frequency distribution, using a graph sheet.
Marks | 40 – 50 | 50 – 60 | 60 – 70 | 70 – 80 | 80 – 90 | 90 – 100 |
No. of students | 7 | 18 | 26 | 37 | 20 | 6 |
Use 2cm = 10 marks
2 cm = 5 students
Question 4:
(a) Evaluate:
3log2 – 1/3 log27 + log12 – log4 + 3log5
(b) If x – 1/x = 3, Evaluate x3 – 1/x3
(c) In the given diagram ‘O’ is the centre of the circle and AB is parallel to CD. AB = 24 cm and distance between the chords AB and CD is 17 cm. If the radius of the circle is 13 cm, find the length of the chord CD.
Question 5:
(a) Find the coordinates of the points on Y-axis which are at a distance of 5√2 units from the point (5, 8).
(b) In the given figure BC is parallel to DE. Prove that:
Area ∆ABE = area ∆ACD
(c) A sum of ₹ 12,500 is deposited for 1½ years, compounded half yearly. It amounts to ₹ 13,000/- at the end of first half year. Find:
(i) The rate of interest
(ii) The final amount. Give your answer correct to the nearest rupee.
Question 6:
(a) Construct a parallelogram ABCD in which AB = 6.4 cm, AD = 5.2 cm and the perpendicular distance between AB and DC is 4 cm.
(b) Factorize:
4a2 – 9b2 – 16c2 + 24bc
(c) In the given diagram ABCD is a parallelogram. ∆APD and ∆BQC are equilateral triangles, Prove that:
(i) ∠PAB = ∠QCD
(ii) PB = QD
Question 7:
(a) Solve for x; where 0° ≤ x ≤ 90°
Sin2 x + cos2 30° = 5/4
(b) Evaluate for x:
(√5/3)x-8 = (27/125)2x-3
(c) In the given figure, triangle ABC is a right angle triangle with ∠B = 90° and D is mid point of side BC. Prove that:
AC2 = AD2 + 3CD2
Question 8:
(a) In the given figure ∠ABC = 66°, ∠DAC = 38°. CE is perpendicular to AB and AD is perpendicular to BC. Prove that: CP > AP
(b) Mr. Mohan has ₹ 256 in the form of ₹1 and ₹ 2 coins. If the number of ₹ 2 coins are three more than twice the number of ₹ 1 coins, find the total value of ₹ 2 coins.
(c) Find:
(i) Mean and
(ii) Median
For the following observations:
10, 47, 3, 9, 17, 27, 4, 48, 12, 15
Question 9:
(a) Three cubes are kept adjacently, edge to edge. If the edge of each cube is 7 cm, find total surface area of the resulting cuboid.
(b) In the given figure, arc AB = twice arc BC and ∠AOB = 80°. Find:
(i) ∠BOC
(ii) ∠OAC
(c) Solve graphically the following system of linear equations (use graph sheet):
− 3 = 3
2 + 3 = 6
Also, find the area of the triangle formed by these two lines and the y-axis.
Question 10:
(a) Each interior angle of a regular polygon is 135° . Find:
(i) the measure of each exterior angle.
(ii) number of sides of the polygon.
(iii) name the polygon.
(b) If log4 = 0.6020, find the value of log80.
(c) Evaluate and from the figure given:
Question 11:
(a) ∆ABC is an isosceles triangle such that AB = AC. D is point on side AB such that BC = CD. Given ∠BAC = 28°. Find the value of ∠DCA
(b) Prove that opposite angles of a parallelogram are equal.
(c) The cross-section of a 6 m long piece of metal is shown in the figure. Calculate:
(i) The area of the cross-section
(ii) The volume of the piece of metal in cubic centimetres.