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How many convex pentagons are there in the figure given below?

In a deck of 52 cards, there are 4 kings, 4 queens, 4 jacks . These are known as face cards. If one card from the deck is withdrawn, what is the probability that it is not a face card?

Make generalised formula for this

1+2+3+ till.....+99+100 = ______

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A = {1, 2, 3, 4}

The set A^I is

Is the below figure a polygon? [2 MARKS]

Ted with his friend Ned, was watching Mission Impossible. It was the climax scene, Ethan jumping from an aeroplane during the night. With the help of his gadgets, he got a blueprint of a parallelogram-shaped land he was about to land on and its measurements. Find the area of the place he can land to cheat death one more time by not falling in the rectangular killer swamp!

Product of −495 and 2514 is equal to .

A's expenditure is $20\%$ more than B's expenditure. B's expenditure is $30\%$ less than C's expenditure. By what percentage is A's expenditure less than C's expenditure?

To construct a rhombus ABCD given AB=4 cm and $\angle ABC={120}^{\circ }$, which of the following properties of rhombus do we use?

A restaurant charges a VAT of ₹ 210 on a bill of ₹ 1500. Calculate the VAT percentage.

ABCD is a rhombus whose diagonals intersect at 0. If AB = 10 cm, diagonal BD = 16 cm, find the length of diagonal AC.

Question 2(i)
Simplify and express the result in power notation with positive exponent:

$(-4{)}^5÷(-4{)}^8$

1. 7

Use the formula and find the product:

David cuts a cake into two equal halves. He cuts one half into smaller pieces of equal size. Each of these small piece weighs twenty grams. If he has seven pieces in all, how heavy is the original cake?

The remainder of the polynomial P(x) = 3$x^2$ + 5x + 8, when divided by x + 2 is___.

Shikha purchased a car with a marked price of Rs. 2,10,000 at a discount of $5\%$. If VAT is charged at the rate of $10\%$, find the amount Shikha had paid for purchasing the car.

The height of a right circular cylinder is 10.5 m. If three times the sum of the areas of ots two circular faces is twice the area of the curved surface area. Find the radius of its base.

One or more outcomes of an experiment make a/an ______ .

The following box and whisker plot represents the weight of seven boys:



What percentage of boys weigh more than 80 kg?

Question 100

A circle with radius 16 cm is cut into four equal parts and rearranged to form another shape as shown in the figure below.

Does the perimeter change? If it does change, by how much does it increase or decrease?

A coin is tossed. What is the probability of getting:
(i) a tail?
(ii) a head

Amount the person receives on depositing ₹ 6,500 for 2 years at 10% per annum compounded annually is ________.

There is a bag which contains 50 balls of same size. 20 of those balls are red in colour and remaining 30 are white. Now, if you take a ball out from the bag what can be said about its colour?

Question 73

In the following question, state whether the given statements are true (T) or false (F).

${\left(\frac{2}{3}\right)}^{-2}\times {\left(\frac{2}{3}\right)}^{-5}={\left(\frac{2}{3}\right)}^{10}$

Question 105(i)

The following histogram shows the frequency distribution of teaching experiences of 30 teachers in various schools :

What is the class width ?

On 1-04-2013 Jay and Vijay, entered into partnership for supplying laboratory equipment to government schools situated in remote and backward areas. They contributed capital of Rs 80,000 and Rs 50,000 respectively and agreed to share the profit in the ratio of 3:2. The partnership deed provided that interest on capital shall be allowed 9% per annum. During the year the firm earned a profit Rs 7,800.

Showing your calculations clearly, prepare Profit and Loss Appropriation Account of Jay and Vijay for the year ended 31-3-2014.

Question 100

Solve the following, select the rational numbers from the list which are also the integers.

$\frac{9}{4},\frac{8}{4},\frac{7}{4},\frac{6}{4},\frac{9}{3},\frac{8}{3},\frac{7}{3},\frac{6}{3},\frac{5}{2},\frac{4}{2},\frac{3}{1},\frac{3}{2},\frac{1}{1},\frac{0}{1},\frac{-1}{1},\frac{-2}{2},\frac{-3}{2},\frac{-4}{2},\frac{-5}{2},\frac{-6}{2}$

Which combination of equivalent fractions do these two figures imply?

If the base of a $2$ m long prism is $50cm\times 60cm$, how much water (in liter) can be stored in it?

Tap the bubble which contains a pattern in it.

Find the area of a regular hexagon with each side of length 4 cm.