ICSE 10th Maths question paper Semester 1 - 2022

If (x+2) is a factor of the polynomial x³-kx²-5x+6 then the value of k is

The solution set of the inequation x-3 ≥ -5, x∈R is

The product AB of two matrices A and B is possible if

If 70, 75, 80, 85 are the first four terms of an Arithmetic Progression, then the 10th term is

The selling price of a shirt excluding GST is ₹800. If the rate of GST is 12% then the total price of the shirt is

Which of the following quadratic equations has 2 and 3 as its roots?

If x, 5.4, 5, 9 are in proportion then x is

Mohit opened a Recurring deposit account in a bank for 2 years. He deposits ₹1000 every month and receives ₹25500 on maturity. The interest he earned in 2 years is

In the given figure AB=24 cm, AC = 18 cm, DE=12 cm, DF=9 cm and ∠BAC=∠EDF. Then ΔABC ~ ΔDEF by the condition

If A=[(5, 10), (3, -4)] and I=[(1, 0), (0, 1)] then AI is equal to

The polynomial x³-2x²+ax+12 when divided by (x+1) leaves, remainder 20, then 'a' is equal to

In an Arithmetic Progression (A.P.) if first term is 5, common difference is -3 and the nth term is -7, then is equal to

In the given figure PQ is parallel to TR, then by using condition of similarity

If a, b, c, and d are proportional then (a+b)/(a-b) is equal to

The first four terms of an Arithmetic Progression (A. P.), whose first term is 4 and common difference is -6, are

One of the roots of the quadratic equation x²-8x+5=0 is 7.3166. The root of the equation correct to 4 significant figures is

(x+2) and (x+3) are two factors of the polynomial x³+6x²+11x+6. If this polynomial is completely factorised the result is

The sum of the first 20 terms of the Arithmetic Progression 2, 4, 6, 8, ... is

The solution set on the number line of the linear inequation 2y-6 < y+2 ≤ 2y, y∈N is

If x, y, z are in continued proportion then (y²+z²):(x²+y²) is equal to

The marked price of an article is ₹5000. The shopkeeper gives a discount of 10%. If the rate of GST is 12%, then the amount paid by the customer including GST is

If A=[(3, 5), (1, 4)], B=[(2, 4), (0, 3)] and C=[(1, -1), (2, 1)] then 5A - BC is equal to

In the given figure ABCD is a trapezium in which DC is parallel to AB. AB=16 cm and DC=8 cm, OD=5 cm, OB=(y+3) cm, OA=11 cm and OC=(x-1) cm. Use this information to answer the following questions. (i) From the given figure name the pair of similar triangles.

In the given figure ABCD is a trapezium in which DC is parallel to AB. AB=16 cm and DC=8 cm, OD=5 cm, OB=(y+3) cm, OA=11 cm and OC=(x-1) cm. Use this information to answer the following questions. (ii) The corresponding proportional sides with respect to the pair of similar triangles obtained in (i) are:

In the given figure ABCD is a trapezium in which DC is parallel to AB. AB=16 cm and DC=8 cm, OD=5 cm, OB=(y+3) cm, OA=11 cm and OC=(x-1) cm. Use this information to answer the following questions. (iii) The ratio of the sides of the pair of similar triangles is

In the given figure ABCD is a trapezium in which DC is parallel to AB. AB=16 cm and DC=8 cm, OD=5 cm, OB=(y+3) cm, OA=11 cm and OC=(x-1) cm. Use this information to answer the following questions. (iv) Using the ratio of sides of the pair of similar triangles the values of x and y are

Two cars X and Y use 1 litre of diesel to travel x km and (x+3) km respectively. If both the cars covered a distance of 72 km, then (i) The number of litres of diesel used by car X is

Two cars X and Y use 1 litre of diesel to travel x km and (x+3) km respectively. If both the cars covered a distance of 72 km, then (ii) The number of litres of diesel used by car Y is

Two cars X and Y use 1 litre of diesel to travel x km and (x+3) km respectively. If both the cars covered a distance of 72 km, then (iii) If car X used 4 litres of diesel more than car Y in the journey, then

Two cars X and Y use 1 litre of diesel to travel x km and (x+3) km respectively. If both the cars covered a distance of 72 km, then (iv) The amount of diesel used by the car X is

Joseph has a recurring deposit account in a bank for two years at the rate of 8% per annum simple interest. (i) If at the time of maturity Joseph receives ₹2000 as interest then the monthly installment is

Joseph has a recurring deposit account in a bank for two years at the rate of 8% per annum simple interest. (ii) The total amount deposited in the bank is

Joseph has a recurring deposit account in a bank for two years at the rate of 8% per annum simple interest. (iii) The amount Joseph receives on maturity is

Joseph has a recurring deposit account in a bank for two years at the rate of 8% per annum simple interest. (iv) If the monthly installment is ₹100 and the rate of interest is 8%, in how many months Joseph will receive ₹52 as interest?

If the sum of a number and its reciprocal is 13/6, what is the number?

What is the product of the roots of the quadratic equation 3x² - 5x + 2 = 0?

A man's salary is increased by 10% and then decreased by 10%. The percentage change in his salary is:

The common difference of an Arithmetic Progression is 5. What is the difference between the 10th and 5th term?

What is the value of 'x' if 2x+5 = 11?

The area of a circle with a radius of 7 cm is:

Which of the following is not a polynomial?

The median of the data 5, 8, 11, 13, 15, 17 is:

A bag contains 5 red balls and 3 blue balls. If a ball is drawn at random, what is the probability of drawing a red ball?

Simplify the expression (2a + 3b) - (a - 2b).

If a right-angled triangle has sides of length 3 cm and 4 cm, what is the length of the hypotenuse?

A train travels at a speed of 60 km/h. How long will it take to travel a distance of 180 km?

What is the simple interest on ₹5000 at 5% per annum for 3 years?

The volume of a cube with a side length of 4 cm is:

If 5x - 3 = 12, what is the value of x?

The circumference of a circle with a diameter of 10 cm is: