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Which of the following numbers is not a perfect cube number?

What is the common factor of 4$x^2$+9+12x and 4$x^2$-9 ?

Find each of the following products.
(i) $(x-4)(x-4)$
(ii) $(2x-3y)(2x-3y)$
(iii) $(\frac{3}{4}x-\frac{5}{6}y)(\frac{3}{4}x-\frac{5}{6}y)$
(iv) $(x-\frac{3}{x})(x-\frac{3}{x})$
(v) $(\frac{1}{3}{x}^2-9)(\frac{1}{3}{x}^2-9)$
(vi) $(\frac{1}{2}{y}^2-\frac{1}{3}y)(\frac{1}{2}{y}^2-\frac{1}{3}y)$

Have you seen frequency tables and various kinds of graphs in newspapers and magazines? Cut them out and paste them in “My Math Book”. Why do you think graphs are used instead of tables sometimes?

Unlike plane figures, solid figures occupy __.

Factorise:

$a^4-343a$

Use the laws of exponents and simplify:

With which of the following given measurements, a unique Kite named EASY can be formed?

Find all rational numbers each of which is equal to its reciprocal.

Question 25

In the following question, out of the four options, only one is correct. Write the correct answer.

The standard form for 2340000000 is

(a) $2.34\times {10}^8$

(b) $0.234\times {10}^9$

(c) $2.34\times {10}^{-8}$

(d) $0.234\times {10}^{-9}$

If the lengths of two chords in a circle are equal and one chord's distance from the centre is $3$ units, choose the first $3$ multiples of the next chord's distance from the centre.

In the given figure, find the area of parallelogram ABCD, if the area of the shaded triangle is $9c{m}^2$

Ranjan purchased 250 packets of blades at the rate of ₹8per packets. He sold 70% of the packets at the rate of ₹11 per packet and remaining packets at the rate of ₹9 per packets. Find his gain percent.

Find all the zeros of the polynomial $(2x^4-11x^3+7x^2+13x-7)$ , it being given that two of its zeros are $(3+\sqrt{2})and(3-\sqrt{2})$ .

Question 10 (ii)

The population of a place increased to 54,000 in 2003 at a rate of 5% per annum.

(ii) What would be its population in 2005?

A milk tank is in the form of a cylinder whose radius is 1.5 m and height is 10.5 m. Find the quantity of milk in litres that can be stored in the tank.

The ration of exterior angle to interior angle of a regular polygon is 1:4. Find the numbers of sides of the polygon.

Ted booked a round-trip cab and went to his uncle’s home. His trip progress is shown in the figure. What is the perimeter of the path taken by Ted?

The length of a rectangle is 5cm less than twice its width. If the length is decreased by 5cm and its width is increased by 2cm, the perimeter of the resulting rectangle will be 74 cm. Find the length of the original rectangle.

Find the discount given when a bicycle marked at Rs. 2000 is sold for Rs. 1500.

If two chocolates cost Rs 24 then the cost of 5 chocolates is:

Question 92 (xxi)

Factorise the following using the identity $a^2-b^2=(a+b)(a-b).$

$p^5-16p$

Simplify $(xy+yz{)}^2-2x^2{y}^{2}z$ and find it's value when $x=-1,y=1$ and $z=2$.

The numerical coefficient of the term $-7abc$ is

Factorise:
$p^2-4p-77$

To construct a rhombus given the measure of its two diagonals, which property of the rhombus do we use?

Ishaani has a Recurring Deposit account in Punjab National Bank and deposits Rs 400 per month for 3 years. If she gets Rs 16176 on maturity; find the rate of interest given by the bank.

Minimum interior angle possible for a regular polygon is ________ .

Question 2(ii)
Express the following numbers in usual form:
$4.5\times {10}^4$

Each side of a rhombus is 13 centimetres long and one of its diagonals is 24 centimetres long. How long is the other diagonal?

Question 21

The following pie chart represents the distribution of proteins in parts of human body.

What is the central angle of the sector (in the above pie chart) representing skin and bones together?

(a) 36°

(b) 60°

(c) 90°

(d) 96°

The perimeter of a triangle is $15x^2-23x+9$ and two of its sides are $5x^2+8x-1$ and $6x^2-9x+4.$ Find the third side.