List of top Questions asked in ICSE Class X board

Solve the quadratic equation $x^2 - 5x - 10 = 0$ and give your answer correct to two decimal places.

In a circle, two chords $AB$ and $CD$ intersect internally at $P$. If $AP = 4$ cm, $PB = 6$ cm, and $CP = 3$ cm, find the length of $PD$.

From the top of a 100 m high cliff, the angle of depression of a boat is $45^\circ$. Calculate the distance of the boat from the foot of the cliff.

A bag contains 5 red, 8 white, and 7 black balls. A ball is drawn at random. Find the probability that the ball drawn is neither red nor black.

A retailer buys a TV from a wholesaler for ₹20,000 and sells it to a consumer at a 10% profit. If the GST rate is 18%, calculate the total tax paid by the retailer to the Government.

Find the value of $k$ if $(x - 3)$ is a factor of the polynomial $x^3 - kx^2 + 15x - 6$.

Theme Objects required: Ink bottle, any feather, one stop watch, one chit pad (any size) with one rolled paper tied with any colour ribbon (like a scroll). Arrangement: Arrange a still life composition below eye level. Keep the feather inside the ink bottle and place tied paper (scroll) on the chit pad in front of the ink bottle. Rest the stop watch against the chit pad. Arrange the objects in an interesting composition.

Theme A Objects required: One boiled egg, one glass filled with milk, one bun, a packet of cheese slices in a plate. Arrangement: Place a plate with the bun and the packet of cheese slices next to the glass filled with milk. Cut the boiled egg into two parts (cut from any angle) and keep it in front of milk glass in an interesting composition. All the objects should be arranged in a closed and attractive composition.

Theme Objects required: A bottle-gourd (not less than 25 cm in length), half a papaya, two tomatoes, a big size onion and a capsicum. Arrangement: Place the bottle-gourd on the table leaning against the backdrop. Place the papaya, tomatoes, onion and capsicum in front of it. The inside part of the papaya should be visible. The whole arrangement should be kept well below the eye level.

Theme A Objects required: A glass jug (not less than 20 cm in height) more than half filled with orange juice, a wrapped loaf of bread, an apple and two bananas. Arrangement: A wrapped loaf of bread, an apple and two bananas should be placed in front of the jug to make an attractive composition. The whole arrangement should be kept against a suitable contrast background and placed well below the eye level. If the group is painted, the background must be included.

Theme Objects required: A big transparent jar, sugar, seasonal fruits (4-5 varieties) and a spoon. Arrangement: A spoon is placed in the jar which is half filled with sugar. Arrange fruits aesthetically around or below the sugar jar.

EITHER Theme A Objects required: A ladies hand bag with a handle, a mobile phone, a pair of sunglasses and a closed colourful umbrella. Arrangement: Arrange all the items to form an interesting composition. The items should be placed a few inches below the eye level.