06:38

38.Metallic silos are used by farmers for storing grains. Farmer Girdhar has decided to build a new

07:53

Triangle is a very popular shape used in interior designing. The picture given above shows a cabine

04:52

36. Ms. Sheela visited a store near her house and found that the glass jars are arranged one above

05:16

35. B. The monthly expenditure on milk in 200 families of a Housing Society is given below

05:59

35. Find the mean and median of the following data: Class 85-90 90-95 95-100

06:37

34. A boy whose eye level is 1.35 m from the ground, spots a balloon moving with the wind in a

04:45

33. Prove that the lengths of tangents drawn from an external point to a circle are equal. Using

05:04

32.(B) Places A and B are 180 km apart on a highway. One car starts from A and another from B at the

05:06

32.(A) Solve the following system of linear equations graphically: x+2y = 3, 2x-3y+8 = 0

03:27

31. Prove that √3 is an irrational number.

02:40

30. (B) AB is a chord of a circle centred at O such that ∠AOB=60˚. If OA = 14 cm then find

02:45

30. (A) The minute hand of a wall clock is 18 cm long. Find the area of the face of the clock

03:00

29. If cosθ + sinθ = 1 , then prove that cosθ - sinθ = ±1

03:38

28. If 𝛼 and 𝛽 are zeroes of a polynomial 6𝑥2 -5x+1 then form a quadratic polynomial whose

02:48

27. The sum of two numbers is 18 and the sum of their reciprocals is 9/40. Find the numbers.

05:03

26. (A) In 𝛥ABC, D, E and F are midpoints of BC,CA and AB respectively. Prove that △𝐹𝐵𝐷 ∼ △ DEF

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26. (B) In 𝛥ABC, P and Q are points on AB and AC respectively such that PQ is parallel to BC.

01:37

25. Show that the points A(-5,6), B(3, 0) and C( 9, 8) are the vertices of an isosceles triangle.

02:14

24. Find the point(s) on the x-axis which is at a distance of √41 units from the point (8, -5).

01:31

23. Evaluate 2 sin^2 60-tan^2 30/sec^2 45 degree

01:29

22(B) How many positive three digit integers have the hundredths digit 8 and unit’s digit 5? Find

01:52

22(A) Two dice are rolled together bearing numbers 4, 6, 7, 9, 11, 12. Find the probability that th

01:43

21. (B) The H.C.F of 85 and 238 is expressible in the form 85m -238. Find the value of m.

02:27

21. (A) Find the H.C.F and L.C.M of 480 and 720 using the Prime factorisation method.

04:45

38. Rinku was very happy to receive a fancy jumbo pencil from his best friend Rohan on his birthda

04:56

37. Radha, an aspiring landscape designer, is tasked with creating a visually captivating pool

03:30

36. A group of students conducted a survey to find out about the preferred mode of transportation

03:46

35 (B). As observed from the top of a 75 m high lighthouse from the sea level, the angles o

03:53

35 (A). From the top of a 9 m high building, the angle of elevation of the top of a cable tower is

07:23

34. The perimeter of sector OACB of the circle centred at O and of radius 24, is 73.12 cm.

05:41

33. If a line is drawn parallel to one side of a triangle to intersect the other two sides in

05:27

32 (B). A train travels at a certain average speed for a distance of 132 km and then travels a

05:04

32 (A). Amita buys some books for ₹1920. If she had bought 4 more books for the same amount each

02:29

31. The sum of a two-digit number and the number obtained by reversing the order of its digits is 99

02:02

30 (B). Prove that the lengths of tangents drawn from an external point to a circle are equal.

03:31

30.a. In the given figure, PA and PB are tangents to a circle centred at O. Prove that (i) OP

02:49

29. Find the mean using the step deviation method. Class 0-10 10-20 20-30 30-40 40-50

02:43

28. Prove that: (𝑐𝑜𝑠𝑒𝑐𝐴−𝑠𝑖𝑛𝐴)(𝑠𝑒𝑐𝐴−𝑐𝑜𝑠𝐴)= 1/tan 𝐴+cotA

03:09

27 (B). Line 4𝑥+𝑦=4 divides the line segment joining the points (−2,−1) and (3,5) in a

02:28

27 (A). Find the ratio in which the y-axis divides the line segment joining the points (4,−5) and

04:03

26. Prove that √5 is an irrational number.

01:47

25. Calculate mode of the following distribution: Class 5-10

01:35

24. If 𝑠𝑖𝑛(𝐴−𝐵)=1/2 𝑎𝑛𝑑 𝑐𝑜𝑠(𝐴+𝐵)=1/2 ,0∘𝐴+𝐵90 degree, then find the values of 𝐴 and 𝐵.

01:39

23. B. The sum of first 𝑛 terms of an A.P. is represented by 𝑆𝑛=6𝑛−𝑛2. Find the common difference.

02:08

23. A. The sum of the first 12 terms of an A.P. is 900. If its first term is 20 then find the common

01:37

22. In two concentric circles, a chord of length 8 cm of the larger circle touches the smaller circl

02:10

21.b. In the given figure, 𝛥𝐴𝐵𝐶 is an equilateral triangle. Coordinates of vertices A and B are

03:12

21a. P(𝑥,𝑦) is a point equidistant from the points 𝐴(4,3) and 𝐵(3,4). Prove that 𝑥− 𝑦=0.

22:29

Sec- A Solved Basic CBSE Sample Paper Mathematics 2024- 2025

02:00

6. The tops of two poles of height 16 m and 12 m are connected by a wire, the wire makes

03:17

5. An observer 1.5 m tall is 28.5 m away from a tower of height 30 m. Find the angle of elevation

02:50

4. From the top of a 25 m high cliff, the angle of elevation of a tower is found to be equal to th

01:37

3. A ladder, leaning against a wall, makes an angle of 60° with the horizontal. If the foot of

02:39

2. In figure, AB is a 6 m high pole and CD is a ladder inclined at an angle of 60° to the horizon

01:45

1. The ratio of the height of a tower and length of its shadow on the ground is √3 : 1 what is the

02:01

1. Find the area under the given curves and given lines: (ii) y = x4, x = 1, x = 5 and x-axis

02:15

8. The diagonals of a rhombus measure 16 cm and 30 cm. Find its perimeter.

02:06

7. Find the perimeter of the rectangle whose length is 40 cm and a diagonal is 41 cm.

01:43

6. Angles Q and R of a ∆PQR are 25º and 65º. Write which of the following is true:(i) PQ2 + QR2= RP

02:19

5. A tree is broken at a height of 5 m from the ground and its top touches the ground at a distance