Rapid Revision Test

Rapid revision tests

                 Here you will get topic wise multiple choice questions.these test will help to test your knowledge on particular topic.

                These tests are mainly designed on sslc Kseeb board mathematics syllabus. 

                This test is designed to make 2022-23 board paper easy.

                Here we have covered topics of NCERT syllabus 10th mathematics.

1.Airthematic progression 

2.pair of linear equations in two variables 

3.triangles

4.circles

          Trac your knowledge of your subject by giving this easy test.

Here many topics are covered related to 10th board exams.solve these test and get ready for exam easily. 

Passing package questions for class 10th board Examinations 

Real numbers 

• Prove that `\sqrt2` is irrational number. 
• Prove that `\sqrt3` is irrational number. 
• Prove that `3+\sqrt2` is irrational number 
• Find HCF OF 20 and 54 by Euclid devision algorithm 
• Find HCF and LCM of 54 and 70 
• Find LCM of (18,54) whose HCF is 18

Triangles

• Prove that if a line drawn parallel to one side of a triangle to intersect other two sides divides the other two sides in same ratio. 
• Prove that the ratio of areas of two similar triangles is equal to the square their corresponding sides 

• Prove that in right triangles the square of hypotenuse is equal to square of the sum of other two sides 

Constructions

• Draw a line of 5.7cm and divide in the ratio 5:8
• Construct a triangle of sides 5cm,4cm and 3cm and draw similar triangle to its sides in the ratio 2:3
• Draw a triangle ABC with sides 5cm and 7cm and And angle B=60° And divide in the ratio 4:5.
• Construct a pair of tangents to a circle of radius 4cm from a external point 8cm away from centre.
• Construct a pair of tangent to a circle with radius 6cm and inclined to each other at angle 60°.

Circles

• Prove that tangent drawn to a circle are perpendicular with a radius at point of contact.
• Prove that a pair tangents drawn from an external point are equal.

Surface area and volume 

• Write the formula to find CSA and TSA and VOLUME of cuboid.
• Write the formula to find CSA and TSA and VOLUME of cube.
• Write the formula to find CSA and TSA and VOLUME of cylinder.
• Write the formula to find CSA and TSA and VOLUME of cone.
• Write the formula to find CSA and TSA and VOLUME of hemisphere.
• Write the formula to find CSA and TSA and VOLUME of sphere.
• Write the formula to find CSA and TSA and VOLUME of frustum.
• Find the formula to find CSA and TSA and VOLUME of sphere,cuboid, cube,cylinder,conefill,hemisphere ,sphere,frustum 

Statistics 

• Find mean 
• Mode
• Median

Of the given data .

• Draw ogive graph of data

Pair of linear equations in two variables 

• Solve for x and y

         x+4y=18

         x+y=3

     By elimination, substitution and cross multiplication and graphical method 

Coordinates Geometry 

• Find distance of points (1,2)(9,7)
• Find coordinates of point P which divide the joining of points (5,6) and (5,9)
• Find the mid-point of (9,8)(7,8)
• Find area of triangle of coordinates (2,0)(3,5)(2,2)

Quadratic equations

• Find roots of quadratic equation x²+4x+4=0 by 
• Factorisation method 
• Completing square method 
• Formula method 
• Find discriminant of x²+3x+2=0
• Find nature of roots of quadratic equation x²+5x+6=0

Polynomials 

• Find zeroes of polynomial x²+5x+5=p(x)
• Form quadratic polynomial If sum of roots and product of roots given as (1,4)
• Divide polynomial p(x)=4x³+4x+6 by g(x)=x+2.

Probability 

• Find probability of the given Statement

Trigonometry 

• If sinA=4/5
• Prove that `\frac(sin23)(cos67)`=1
• Find `\frac( sin²30+cos²30)(sin30)`

Please share