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Find the least number by which 1323 must be multiplied so that the product is a perfect cube.

Solve:

In the equation $ax+by+c=0$, if $y=\frac{(cx+d)}{b}$ then $x=$

The cost of car, purchased 2 years ago, depreciates at the rate of $20\%$ every year. If its present worth is ₹ 315600, find its purchase price.

$8,780,000,000,000=$ _______.

Considers an isosceles trapezoid have one of its interior angle ${110}^o$. If its two non-parallel sides are extended, they will meet at an angle -

If $x=\sqrt{13}+2\sqrt{3}$, find the value of $x-\frac{1}{x}$

Question 4 (ii)

Find the least number which must be subtracted from each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained:

1989

Dipanshu bought a calculator for Rs 2100 including a tax of 5%. Find the price of the calculator before VAT was added.

1,024 trees are planted in a grid fashion such that the number of rows is equal to the number of columns. One row and one column of trees are cut such that the number of rows and columns after cutting remain equal. Find the number of trees that were cut?

Which one of the given options is an open shape?

Rahim, Johny and Gopu deposited 10,000 rupees each, under different schemes, in a bank which gives 8% interest. Rahim gets simple interest, Johny gets interest compounded half-yearly and Gopu gets interest compounded quarterly. Compute the total amount each of them gets back after one year and compare these amounts.

Question 2 (iv)

The following number is obviously not a perfect square. Give reasons.

222222

Two cubes, each of edge length 12 cm are joined end to end. Find the surface area of the resulting cuboid.

Question 1

The blood groups of 30 students of Class VIII are recoded as follows:

A,B, O, O,AB,O,A,O,B, A, O, B,A,O, O, A,AB, O, A, A, O,O, AB, B,A,O, B,A,B,O.

Represent this data in the form of frequency distribution table. Which is the most common, and which is the rarest, blood group among these students?

Question 5(iii)

Show that:

${(\frac{4}{3}m-\frac{3}{4}n)}^2+2mn=\frac{16}{9}{m}^2+\frac{9}{16}{n}^2$

A well is dug $20m$ deep and it has a diameter of $7m$. The earth which is so dug out is spread out on a rectangular plot $22m$ long and $14m$ broad, what is the height of the platform so formed?

In the diagram, ABCD is a rhombus. AEC and BED are straight lines. Find the value of $p+q+r+s+t$

Compare the rational numbers and choose the incorrect option(s).

$\frac{39}{26}$ ___$\frac{6}{4}$

For a quadrilateral PQRS where PQ = 4 cm,QR = 6 cm, RS = 5 cm, PS = 5.5 cm. What value must length of PR be below in cm?

Factorise : $2a-4b-xa+2bx$

If 9 out of 36 people love eating pies, the pie chart would represent them in a ___.

Which of the following could be the cube of 37?

How to prove (x^a÷x^b)^1÷ab (x^b÷x^c)^1÷bc (x^c÷x^a)^1÷ca

A milk container is 8 cm long and 50 cm wide. What should be its height so tha hold 4 litres of milk?

A shopkeeper buys 80 articles for Rs. 2400 and sells them for a profit of $16\%$. Find the selling price of one article.

Question 82 (ii)

Subtract

$6x^2-4xy+5y^{2}from8y^2+6xy-3x^2$