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List four rational numbers between $\frac{5}{7}$ and $\frac{7}{8}.$

$(5+6\times 3-4)+(5\times 6)\times (14-7)+(12÷4\times 9)=?$

Two angles are in the ratio 4: 7. On increasing the first angle by 100${}^{\circ }$ the ratio changes to 2:1. Find the value of the second angle.

Sameer has some bananas, Rohan has 7 more than Sameer. Manshi says that she has 6 more bananas than the number of bananas Sameer and Rohan have together. How many bananas does Manshi have?

Find the value $\angle A+\angle B+\angle C+\angle D+\angle E.$

Santosh has $x$ pens, and $y$ pencils. Anjan has 3 pens less than Santosh and thrice the number of pencils. The expression for the total number of pens and pencils with Anjan is:

Express in usual form: 5.06 x ${10}^{-4}$
___

If diameter of a circle is 18 cm, then the radius is ____ cm.

What do we mean by supplementary angles? [1 MARK]

Find the value of $\angle A$ + $\angle B$ + $\angle C$ +$\angle D$ + $\angle E$ from the following figure.

(96 $÷$ 12) + 14 x (12 + 8) $÷$ 2

The cost of two tables and three chairs is ₹ 705. If the table costs ₹ 40 more than the chair, then find the cost of the table.

In $△ABC,\angle B={90}^o$, AB=4 cm, BC=3 cm. Perpendicular from B is drawn to line AC which meets AC at D. then ratio of $\frac{AD}{CD}$ is,

How to solve this problem in distributive property of multiplication

(-56) × 19 - 56

If a transversal intersects two parallel lines, then which of the following angles are equal?

Factorise: $18x^3{y}^3-27x^2{y}^3+36x^3{y}^2$

I) -7

ii) 9

iii) -6

iv) 0

v) 1

Question 6

Draw a circle with centre C and radius 3.4 cm. Draw any chord $\overline{AB}$. Construct the perpendicular bisector $\overline{AB}$ and examine if it passes through C.

Draw a line $l$ and a point $X$ on it. Through $X$, draw a line segment $\overline{XY}$ perpendicular to $l$. Now draw a perpendicular to $\overline{XY}$ to $Y$. (use ruler and compasses)

Question 19
When a torch is pointed towards one of the vertical edges of a cube you get a shadow of a cube in the shape of
a) Square
b) Rectangle but not a square
c) Circle
d) Triangle

Find the product (x${}^2$-3xy+2y${}^2$) (2x-3y) and also find its value when x = 4 and y = -3.

A pond is in shape of trapezium. A bridge is to be constructed such that the bridge is perpendicular to the parallel sides. It is given that the area of the pond is 1080 $m^2$ and the lengths of its parallel sides are 55.6 m and 34.4 m. Find the length of the bridge.

Question 108

Store A and store B both charge Rs. 750 for a video game. This week the video game is on sale Rs. 600 at store B and for 25 % off at store A. At which store is the game less expensive ?

The sum of two rational numbers is $\frac{-1}{2}$. If one of the numbers is $\frac{5}{6},$ find the other.

Question 29

In $\Delta PQR$, if $\angle P={60}^{\circ }$ and $\angle Q={40}^{\circ }$, then the exterior angle formed by producing QR is equal to

a) ${60}^{\circ }$
b) ${120}^{\circ }$
c) ${100}^{\circ }$
d) ${80}^{\circ }$

Question 99

From a rope 68 m long, pieces of equal size are cut. If the length of one piece is $4\frac{1}{4}$ m, find the number of such pieces.

Factorize: $210pq{r}^2$ and write in product form

Check whether the following are satisfying the condition of a simple equation? [3 MARKS]

a) $6x+\frac{4x}{3}+4$

b) $2t+34=42$

c) $2x^2+4x+2=0$

When two squares of the same size are joined to make a large square, find the length of the side of the large square.

6 pipes can fill a tank in 4 hours. How many more pipes will be required to fill the same tank in 1 hour?

Question 32

Fill in the blanks to make the statement true.

___ $÷$ (-10) = 0

The figure can be formed in shape of die.

The value of A+B+C is ___.

Question 8 :

Ila read 25 pages of a book containing 100 pages. Lalita read $\frac{2}{5}$ of the same book. Who read less?

How to solve -57*-19+57 in distributive property

A car requires 25 liters of petrol to cover a distance of 225 km .Find the amount of petrol required to cover a distance of 540 km .

The value of m, if the points (5,1) (-2,-3) and (8,2m) are collinear is

Two lines intersect at a point 'O'. If one of the four angles formed is 30 degrees, what is the angle opposite to it?

Question 7 (iv)

Rewrite the following rational number in the simplest form:
$\frac{-8}{10}$

​​​​​​​[4 MARKS]

In the given figure, AB || CD, then the value of x is