ICSE 10th Maths question paper - 2023

If [[2, 0], [0, 4]] * [[x], [y]] = [[2], [-8]], the value of x and y respectively are:

If x-2 is a factor of x³-kx-12, then the value of k is:

In the given diagram RT is a tangent touching the circle at S. If ∠PST=30° and ∠SPQ=60° then ∠PSQ is equal to:

A letter is chosen at random from all the letters of the English alphabets. The probability that the letter chosen is a vowel, is:

If 3 is a root of the quadratic equation x²-px+3=0 then p is equal to:

In the given figure ∠BAP=∠DCP=70°, PC=6 cm and CA=4 cm, then PD: DB is:

The printed price of an article is ₹3080. If the rate of GST is 10% then the GST charged is:

(1+sin A)(1-sin A) is equal to:

The coordinates of the vertices of ΔABC are respectively (-4, -2), (6, 2) and (4, 6). The centroid G of ΔABC is:

The nᵗʰ term of an Arithmetic Progression (A.P.) is 2n+5. The 10ᵗʰ term is:

The mean proportional between 4 and 9 is:

Which of the following cannot be determined graphically for a grouped frequency distribution?

Volume of a cylinder of height 3 cm is 48π cm³. Radius of the cylinder is:

Naveen deposits ₹800 every month in a recurring deposit account for 6 months. If he receives ₹4884 at the time of maturity, then the interest he earns is:

The solution set for the inequation 2x+4 ≤ 14, x ∈ W is:

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 n 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:

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

From the given figure name the pair of similar triangles

The corresponding proportional sides with respect to the pair of similar triangles obtained in (i)

The ratio of the sides of the pair of similar triangles is

Using the ratio of sides of the pair of similar triangles the values of x and y are

The number of litres of diesel used by car X is

The number of litres of diesel used by car Y is

If car X used 4 litres of diesel more than car Y in the journey, then

The amount of diesel used by the car X is

If at the time of maturity Joseph receives ₹2000 as interest then the monthly installment is

The total amount deposited in the bank

The amount Joseph receives on maturity is

If the monthly installment is ₹100 and the rate of interest is 8%, in how many months Joseph will receive ₹52 as interest?

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

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