ICSE Questions
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Class 10
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Class 10
Maths
From the top of a cliff, the angle of depression of the top and bottom of a tower
Find the value of p if the lines, 5x - 3y + 2 = 0
Using properties of proportion find x βΆ y, given
In the given figure TP and TQ are two tangents to the circle
What must be added to the polynomial $ 2x^3 - 3x^2 - 8^x $
Take 1 cm = 1 unit on both x and y axes
40 students enter for a game of shot-put competition
Prove that $ x^2 - 4ax + 1 = 0 $
If the 6th term of an A.P. is equal to four times its first term
The difference of two natural numbers is 7 and their product is 450
Construct a circle of radius 4.5 cm
A model of a high rise building is made to a scale of 1 : 50
Prove the identity
Solve the following inequation and write down the solution set
A man invests βΉ4500 in shares of a company
In a class of 40 students, marks obtained by the students in a class test
Using the factor theorem, show that (x - 2) is a factor of
(cosec π β sin π)(sec π β cos π)(tan π + cot π) = 1
In an Arithmetic Progression (A.P.) the fourth and sixth terms
Simplify
M and N are two points on the X axis and Y axis respectively
A solid metallic sphere of radius 6 cm is melted and made into a solid cylinder
The following numbers, K + 3, K + 2, 3K - 7 and 2K - 3 are in proportion. Find K
Solve for x the quadratic equation $ x^2 - 4x - 8 = 0 $
Draw a circle of radius 4 cm. Mark the centre as O. Mark a point P outside the circle
There are 25 discs numbered 1 to 25. They are put in a closed box and shaken thoroughly
Rekha opened a recurring deposit account for 20 months
Take 1 cm = 1 unit along both x and y axis
In the given figure, β PQR = β PST = 90Β°, PQ = 5 cm and PS = 2 cm
The first and last term of a Geometrical Progression (G.P.) are 3 and 96 respectively
A hemispherical and a conical hole is scooped out of a solid wooden cylinder
In the given figure AC is a tangent to the circle with centre O
The model of a building is constructed with the scale factor 1 : 30
M is a matrix and I is unit matrix of order 2 x 2
The sum of the first three terms of an Arithmetic Progression (A.P.) is 42
The vertices of a βABC are A(3, 8), B(β1, 2) and C(6, -6). Find:
Using ruler and a compass only construct a semi-circle with diameter BC = 7cm
The data on the number of patients attending a hospital in a month are given below
Using properties of proportion solve for x, given
Sachin invests βΉ8500 in 10%, βΉ100 shares at βΉ170
The marks obtained by 120 students in an English test
A man observes the angle of elevation of the top of the tower to be 45
Using the Remainder Theorem find the remainders obtained when
The product of two consecutive natural numbers
In the given figure, ABCDE is a pentagon inscribed in a circle such that AC is a diameter
Find the value of x and y if
Sonia had a recurring deposit account in a bank and deposited βΉ600 per month
Cards bearing numbers 2, 4, 6, 8, 10, 12, 14, 16, 18 and 20 are kept in a bag
The circumference of the base of a cylindrical vessel is 132 cm
If (k β3), (2k + 1) and (4k + 3) are three consecutive terms of an A.P
1
2
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