RBSE Class 10 Maths Model Paper 1 English Medium are part of RBSE Class 10 Maths Board Model Papers. Here we have given RBSE Class 10 Maths Sample Paper 1 English Medium.
|Paper Set||Model Paper 1|
|Category||RBSE Model Papers|
RBSE Class 10 Maths Sample Paper 1 English Medium
Time: 3.15 Hours
Maxim Marks: 80
General Instructions to the Examinees:
- Candidate must write first his/her Roll on the question paper compulsory.
- All the questions are compulsory.
- Write the answer to each question in the given answer sheet only.
- For question having more than one part, the answers to those parts are to be written together in continuity.
- If there is any error/difference/contradiction in Hindi & English versions of the question paper, the question of Hindi versions should be treated valid.
Part No.of Question Marks per Question A 1 – 10 1 B 11 – 15 2 C 16 – 25 3 D 26 – 30 6
- There are internal choices in Q. No. 27 and Q.No 29
- Write on both sides of the pages of your answer-book. If any rough work is to be done, do it on last pages of the answer-book and cross with slant lines and write ‘Rough Work’ on them.
- Draw the graph of Question No. 26 on graph paper.
Section – A
Find the value of 588 512 by using ‘Ekaadhiken Purven Sutra’. 
After how many digits, decimal expansion of rational number terminates? 
Find the value of tan 52° tan 38° 
Find the angle of elevation of the sun. If length of shadow of a tower is equal to its height. 
Write the locus of the tip of second’s hand in a clock. 
Write the number of circles passing through three non-collinear points. 
Find the probability of getting a prime number on throwing a die once. 
What is the shape of red signal light in traffic Signs? 
Write the equation of “Stopping Sight Distance”. 
Find square root of 7225 by “Dhunda Yog Method”. 
Find the greatest number which divided 247 and 2055 leaving remainders 7 in each case. 
Find the area of shaded portion in the given figure. 
Find the volume of the largest right circular cone that can be cut out of a cube of edge 42 cm. 
A CCTV camera is placed on the top of a straight 12 meters high pole in such a way that traffic can be seen beyond 13 meters of line of sight of it. Find the distance from the foot of pole beyond which the traffic is visible. 
Find a quadratic polynomials whose sum and product of zeroes are 8 and 12 respectively. 
Find sum of first 15 terms of an A.P. whose nth term is given by an = 25 – 2n. 
The angle of elevation of the top of the tower from two points C and D at a distance of x and y from the base of the tower in the same straight line with it are complementary. Prove that the height of the tower is . 
Medians of a AABC and AD, BE and CF passes through a point G If AG=5 cm, BE = 12 cm and FG = 3 cm then find AD, GE and GC. 
In the given figure PQ and RS are parallel, Prove that ΔPOQ ∼ ΔSOR 
In figure ABCD is a cycle quadrilateral. Find the value of a and b. 
Draw a pair of tangents to a circle of radius 4 cm. Which are inclined to each other at an angle of 70°. 
Circumference of a circle is equals to the perimeter of a square, if the area of a square is 484 sq. meter, then find the area of the circle. 
The ratio of surface areas of two spheres is 9 : 16 find the ratio of their volumes. 
A card is drawn from a well shuffled pack of 52 cards. Find the probability of the following that card is 
- Ace of heart
Solve the following pair of linear equations by graphical method and find value of ‘a’ where as
4x + 3y = a, x + 3y = 6; 2x – 3y = 12 
- Prove that cos4θ + sin4θ = 1 – 2cos2 θ sin2θ
- prove that [0≤A<45°] 
- Prove that
- If = m and = n, then prove that (m2 + n2)cos2B =n2
Vertices of the triangle ABC are A (3, -2), B (0, 6) and C (-2, 4), then find the length of its medians. 
Prove that the ratio of the areas of two similar triangles is equal to the ratio of square of their corresponding sides. 
If a point D on the side BC of an equilateral triangles ABC such that BD = BC, then prove that 9AD2 = 7AB2.
Find the mean and median of given frequency distribution. 
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