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To express the speed of a supersonic jet which is 130000 m/s in the standard form, we write it as$1.3\times {10}^a$ m/s. The value of a is

(a) Derive the angle sum property of the triangle using the exterior angle property.

(b) AE is the angular bisector. $\angle 4={140}^{\circ },\angle 2={60}^{\circ },\angle EAC=x$. Find $x$.


[4 MARKS]

Match the first column elements with their correct answers given in the second column:

In the
following figures, the mirror line (i.e., the line of symmetry) is
given as a dotted line. Complete each figure performing reflection in
the dotted (mirror) line. (You might perhaps place a mirror along the
dotted line and look into the mirror for the image). Are you able to
recall the name of the figure you complete?

Three cubes of dimensions $5cm\times 5cm\times 5cm$ are placed side by side. The length of resulting cuboid is:

Sebastian and his father went on a driving trip. They want to refuel the car and want to change tyres of the car in minimum time. Gas stations are located at an interval of $40\text{miles}$ and mechanic shops are located at an interval of $30\text{miles}$ from their house in same direction.



Find the minimum distance at which both the gas station and mechanic shop can be located at the same stop.

What should be the selling price of an article that costs ₹20 in order to make a profit of ₹4?

From the above data, the students are good at which subject?

A triangle of sides AB = 6 cm, BC = 3 cm and AC = 4 cm is constructed. Then the measure of angle A is

Which of the following statement is true for the inequation $2x+5>27$?

Question 5 (i)
Line l is the bisector of an angle $\angle AandB$ is any point on l. BP and BQ are perpendiculars from B to the arms of $\angle A$ (see the given figure). Show that:
$\Delta APB\cong \Delta AQB$

If $P\left(A\right)=\frac{7}{13},P\left(B\right)=\frac{9}{13}$ and $P(A\cap B)=\frac{4}{13}$, then the value of $P\left(A/B\right)$ is:

What is the biggest prime number know to the date

Find the measure of an angle which is 25° less than its supplement

Multiply
the following fractions:

(i) (ii) (iii)

(iv) (v) (vi)

(vii)

The cost of 6 balls is ₹48, then the cost of 4 balls is ____.

The sum of any five consecutive numbers is multiple of ___

State the
number of lines of symmetry for the following figures:

(a) An
equilateral triangle

(b) An
isosceles triangle

(c) A
scalene triangle

(d) A
square

(e) A
rectangle

(f) A
rhombus

(g) A
parallelogram

(h) A
quadrilateral

(i) A
regular hexagon

(j) A
circle

The expression (a + c + e + g)(b + d + f + h) consists of ____ factors and each factor contains _____ terms.

Question 125

Find the values of x and y in the given figure.

A toy costs $\$20$ to the shopkeeper. If the mark-up is $30\%$ over cost price, then the toy can be bought for

Basanti has read 0.25 of the book .if she readsv0.125 of the book each day how many more days does she need to complete reading the book

In 2008, approximately what percent of the world's population lived in Africa if the sector angle of Africa measured 52${}^{\circ }$?

Let Kanika's present age be $x$ years. Complete the following table, showing ages of her relatives.

$\begin{array}{ccc}& \text{Situation (described in ordinary language)}& \text{Expression}\\ \left(i\right)& \text{Her brother is 2 years younger}.& ---\\ \left(ii\right)& \text{Her father's age exceeds her age by 35 years}.& ---\\ \left(iii\right)& \text{Mother's age is 3 years less than that of her father}.& ---\\ \left(iv\right)& \text{Her grandfather's age is 8 times of her age}.& ---\end{array}$

Fill in the blanks to make the statement true.

In the expression $2\pi r$, the algebraic variable is___.

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The solution of the equation $\frac{x}{4}\pm \frac{1}{2}=3$ is/are:

Find the product of LCM and HCF for the numbers 20 and 15.

1. 23


2. -81


3. 98


4. 0


5. 18


6. -56

(+12)+(-4) is:

The line graph shows Julie's test results over half a term.

In which week, did her performance fall down?

Question 3
Construct an isosceles right angled triangle ABC, where $\angle$ ACB=${90}^{\circ }$ and AC = 6cm.