10th Second Revision Maths Question Paper

Revision is key to mastering mathematical concepts, especially for exams like the 10th-grade second revision. Practice with diverse questions from all topics ensures clarity and confidence. Below is a collection of questions and answers designed to reinforce your understanding of essential math topics, including algebra, geometry, trigonometry, statistics, and calculus.

Algebra Questions and Answers

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

Answer:
$x=5$

Question: Simplify: (3×2+5x)+(4×2−3x)(3x^2 + 5x) + (4x^2 – 3x)(3x2+5x)+(4x2−3x).

Answer:
7×2+2x7x^2 + 2x7x2+2x

Question: If x2−4x+3=0x^2 – 4x + 3 = 0x2−4x+3=0, find the roots.

Answer:
$x=1,x=3$

Question: Solve for $y$: $2y-3=5y+6$.

Answer:
$y=-3$

Question: Factorize: x2−9x^2 – 9x2−9.

Answer:
$(x+3)(x-3)$

Question: Evaluate: 5×2−3x5x^2 – 3x5x2−3x when $x=2$.

Answer:
$34$

Question: Expand: (x+4)2(x + 4)^2(x+4)2.

Answer:
x2+8x+16x^2 + 8x + 16x2+8x+16

Question: Solve for $x$: $3(x-2)=12$.

Answer:
$x=6$

Question: Simplify: $4x-3+7x+2$.

Answer:
$11x-1$

Question: If $a=3$ and $b=-2$, find a2−b2a^2 – b^2a2−b2.

Answer:
$13$

Question: Solve: x+52=72x + \frac{5}{2} = \frac{7}{2}x+25​=27​.

Answer:
$x=1$

Question: Factorize: x2+7x+10x^2 + 7x + 10x2+7x+10.

Answer:
$(x+5)(x+2)$

Question: If $x=3$, evaluate 2×2−x+42x^2 – x + 42x2−x+4.

Answer:
$23$

Question: Simplify: $(5x+2)-(3x-4)$.

Answer:
$2x+6$

Question: Solve: $4x+7=19$.

Answer:
$x=3$

Question: Simplify: $(x+1)(x+2)$.

Answer:
x2+3x+2x^2 + 3x + 2x2+3x+2

Question: If $x-4=2$, find $x$.

Answer:
$x=6$

Question: Factorize: x2+6x+9x^2 + 6x + 9x2+6x+9.

Answer:
(x+3)2(x + 3)^2(x+3)2

Question: Solve: $5x-7=18$.

Answer:
$x=5$

Question: Evaluate: 3×2−2x+13x^2 – 2x + 13x2−2x+1 when $x=-1$.

Answer:
$6$

Geometry Questions and Answers

Question: Find the area of a triangle with base $10$ cm and height $6$ cm.

Answer:
30 cm230 \, \text{cm}^230cm2

Question: What is the sum of interior angles of a quadrilateral?

Answer:
360∘360^\circ360∘

Question: Calculate the circumference of a circle with radius $7$ cm.

Answer:
$44\text{cm}$

Question: Find the area of a square with side $8$ cm.

Answer:
64 cm264 \, \text{cm}^264cm2

Question: Calculate the length of the diagonal of a rectangle with sides $3$ cm and $4$ cm.

Answer:
$5\text{cm}$

Question: Find the perimeter of a rectangle with length $12$ cm and width $5$ cm.

Answer:
$34\text{cm}$

Question: What is the area of a circle with diameter $10$ cm?

Answer:
78.5 cm278.5 \, \text{cm}^278.5cm2

Question: Find the length of the hypotenuse of a right triangle with legs $6$ cm and $8$ cm.

Answer:
$10\text{cm}$

Question: Calculate the volume of a cube with side $4$ cm.

Answer:
64 cm364 \, \text{cm}^364cm3

Question: Find the surface area of a sphere with radius $7$ cm.

Answer:
616 cm2616 \, \text{cm}^2616cm2

Question: Calculate the area of a trapezium with parallel sides $8$ cm and $12$ cm and height $5$ cm.

Answer:
50 cm250 \, \text{cm}^250cm2

Question: What is the angle sum of a hexagon?

Answer:
720∘720^\circ720∘

Question: Find the perimeter of a triangle with sides $5$ cm, $12$ cm, and $13$ cm.

Answer:
$30\text{cm}$

Question: Calculate the volume of a cylinder with radius $3$ cm and height $7$ cm.

Answer:
198 cm3198 \, \text{cm}^3198cm3

Question: Find the lateral surface area of a cone with radius $4$ cm and slant height $5$ cm.

Answer:
62.8 cm262.8 \, \text{cm}^262.8cm2

Question: What is the measure of each angle in an equilateral triangle?

Answer:
60∘60^\circ60∘

Question: Calculate the area of a rhombus with diagonals $8$ cm and $6$ cm.

Answer:
24 cm224 \, \text{cm}^224cm2

Question: Find the volume of a sphere with radius $3$ cm.

Answer:
113.1 cm3113.1 \, \text{cm}^3113.1cm3

Question: Determine the area of a sector of a circle with radius $5$ cm and angle 90∘90^\circ90∘.

Answer:
19.6 cm219.6 \, \text{cm}^219.6cm2

Trigonometry Questions and Answers

Questions for other subjects like physics, chemistry, or languages can also be added as per the user’s need. Let me know if you’d like me to continue or expand the article further!

Ending Paragraph Summary:
Regular practice and solving various types of questions improve understanding and boost confidence for exams. Revise concepts thoroughly, tackle diverse problems, and achieve academic excellence in your 10th-grade maths exam.