Are you looking for Mathematics (English) Question Papers for the West Bengal Board of Secondary Education 2024? Here is the Math (English) Question Paper for Class 10, 2024 (Madhyamik). This resource aims to assist you in comprehending the question pattern for the upcoming examinations. It provides Math (English) Question Papers for the year 2024. The primary purpose of sharing this expected Question Paper on the blog is to aid Madhyamik students in understanding the question structure. Feel free to download the PDF attachment and print it out. Best of luck!
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1. Choose the
correct answer : 1×6=6
(i) At the rate of 10% p.a. what would be the ratio of SI and CI of ₹100 for 2 years
(a) 10:11 (b) 11:10 (c) 20:21 (d) 21:20
(ii) If the two roots of the equation 9x2 – (4
– k)x – 4 = 0, are equal and opposite in sign, what would be the value of k ?
(a) 4 (b) 0
(c) – 4 (d) 
(iii) A chord of a circle is 6 cm apart from its center. The length of the chord is16 cm. The radius of the circle is
(a) 10 cm (b) 20 cm (c) 12 cm (d) 24 cm.
(iv) The ratio of the volume of two cubes is 8:125, find the
ratio of their surface area.
(a) 4:9 (b) 9:4 (c) 4:25 (d) 2:5
(v) If tan
+ cot = 2 then find tan – cot.
(a) 2 (b) - 2 (c) 0 (d) ½
(vi) The mean of 6, 8, 12, x, 5, y, 9, z is 7 and that of 9, 3,
5, 0, x, y, 7, 4 is 5. Find z –
(a) 4 (b) 6 (c) 7 (d) 8
2. Answer the following questions as directed : -
Fill in the
blanks (Any five) : 1×5=5
(i) The present population of a village is p. If the
population increases at the rate of 2r% per year,
the population after n years would be _______.
(ii) The roots of the equation ax2 + bx + c = 0
would be unequal when ______.
(iii) sec40o. sin50o
is equal to ________.
(iv) The number of tangents drawn from an outer point to a
circle is/are _______.
(v) If the area of a hemisphere and sphere are equal, the ratio
of their radii is _______.
(vi) The mode of the numbers 3, 4, 6, 3, 4, 12, 9, 7, 6, 11, x is 6. The value of x is ______.
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3. Write true or false (Any five) : 1×5=5
(i) Two angles of a triangle are 
and 450. The triangle is an isosceles. (ii) If two circles touch each other externally, then three
simple common tangents can be drawn.
(vi) The median of the numbers 42, 51, 56, 45, 62, 59, 50, 52, 55, 64, 45, 54, 58 is 50.
4. Answer any ten questions : 2×10=20
(i) At the rate of 10% p.a. the
difference of SI and CI of a sum of money is ₹60.
Find the sum of money.
(ii) In a partnership business Vinay invests ₹1200 for certain time and Rahul invests ₹1500 for 4 months. If the share of profit of the two partners is same, for how many months Vinay invested the money?
(iii) A solid right circular cone is melted to form a right circular solid cylinder. The radii of their bases are equal. If the height of the cone is 15 cm, find the height of the cylinder.
(iv) The curved surface area of a sphere is S and volume
is V , find the value of 
5. Answer any
one of the following :- 5
(i) At the rate of 8% p.a. compound interest, in how many years ₹40000
will
be amounted to ₹46656 ?
(ii)
Sujal, Abhishek and Raj invested ₹6500, ₹5200 and ₹9100 in a partnership business. At the end of the year the got
a profit of ₹14400. 
of the profit they divided equally and rest in
the ratio of their capita. Find the profit share of each.
6. Answer any one of the following :- 3
(i) Shagun and Devendra work in a
factory. Shagun takes 5 minutes less than Devendra to make an object. On 6 hours Shagun makes 6 objects
more than Devendra. How many objects will Devendra make in that time?
7. Answer any one of the following :- 3
(i) y is equal to the sum of two variables. One is directly proportional to x and the other is inversely proportional to x. If x=1 then y= -1 and when x=3 then y=5. Find the relationship between x and y.
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