2018 9th Class Maths Question Paper with Answers

This guide provides detailed questions and answers for the 2018 9th class mathematics examination. It covers a wide range of problems, including conceptual and practical, helping students prepare efficiently for their studies.

Algebra

Question: Solve $2x+5=15$.
Answer: $x=5$.

Question: Factorize x2−9x^2 – 9x2−9.
Answer: $(x-3)(x+3)$.

Question: Simplify $3(x+2)-4(x-1)$.
Answer: $-x+10$.

Question: Solve for $y$: $3y-7=11$.
Answer: $y=6$.

Question: If $2x=10$, find $x$.
Answer: $x=5$.

Question: Find the value of $k$ if k2=49k^2 = 49k2=49.
Answer: $k=\pm 7$.

Question: Simplify $5x-2x+3x$.
Answer: $6x$.

Question: Solve $4x+7=2x-3$.
Answer: $x=-5$.

Question: If $3x=9$, find $x$.
Answer: $x=3$.

Question: Solve x2=36x^2 = 36x2=36.
Answer: $x=\pm 6$.

Question: Factorize x2+5x+6x^2 + 5x + 6x2+5x+6.
Answer: $(x+2)(x+3)$.

Question: Simplify $2(x+3)-x$.
Answer: $x+6$.

Question: Solve for $z$: $7z-4=3z+8$.
Answer: $z=3$.

Question: Expand (x+3)2(x + 3)^2(x+3)2.
Answer: x2+6x+9x^2 + 6x + 9x2+6x+9.

Question: Simplify $4x-(2x+1)$.
Answer: $2x-1$.

Question: Solve $2x+3=3x-4$.
Answer: $x=7$.

Question: Simplify $5(x-2)+3(x+1)$.
Answer: $8x-7$.

Question: Factorize x2−16x^2 – 16x2−16.
Answer: $(x-4)(x+4)$.

Question: Find $x$ if $x/3=5$.
Answer: $x=15$.

Geometry

Question: What is the sum of the interior angles of a triangle?
Answer: 180∘180^\circ180∘.

Question: Find the area of a rectangle with length 5 cm and breadth 3 cm.
Answer: 15 cm215 \, \text{cm}^215cm2.

Question: Define a right triangle.
Answer: A triangle with one 90∘90^\circ90∘ angle.

Question: What is the formula for the area of a circle?
Answer: πr2\pi r^2πr2.

Question: Name the three types of triangles based on angles.
Answer: Acute, right, and obtuse triangles.

Question: Calculate the circumference of a circle with radius 7 cm.
Answer: $44\text{cm}$.

Question: What is a scalene triangle?
Answer: A triangle with all unequal sides.

Question: Find the perimeter of a square with side 4 cm.
Answer: $16\text{cm}$.

Question: What is the Pythagoras theorem?
Answer: a2+b2=c2a^2 + b^2 = c^2a2+b2=c2.

Question: Define an equilateral triangle.
Answer: A triangle with all sides equal.

Question: How many degrees are there in a straight angle?
Answer: 180∘180^\circ180∘.

Question: Find the area of a triangle with base 6 cm and height 4 cm.
Answer: 12 cm212 \, \text{cm}^212cm2.

Question: What is the formula for the volume of a cube?
Answer: side3\text{side}^3side3.

Question: Define a parallelogram.
Answer: A quadrilateral with opposite sides equal and parallel.

Question: Calculate the diagonal of a square with side 5 cm.
Answer: 52 cm5\sqrt{2} \, \text{cm}52​cm.

Question: What is the measure of each angle in an equilateral triangle?
Answer: 60∘60^\circ60∘.

Question: Define a rhombus.
Answer: A parallelogram with all sides equal.

Question: What is the sum of the exterior angles of any polygon?
Answer: 360∘360^\circ360∘.

Question: Calculate the area of a trapezium with bases 8 cm, 6 cm, and height 5 cm.
Answer: 35 cm235 \, \text{cm}^235cm2.

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The collection of questions and answers helps students grasp concepts effectively and is tailored to the 2018 9th class mathematics syllabus. Reviewing these problems can greatly improve understanding and exam readiness.