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Multiplying $-7a^2$ with $-8a^5$ gives:

Question 29

Fill in the blank to make the statement true.

The number of common points in the two angles marked in the given figure is ______.

Solve the following equation:

$8x+\frac{5}{2}=13$

Question 25

Fill in the blanks to make each statement true:

$\frac{x}{5}+30=18$ has the solution as .............

$\frac{7}{25}$ as a percentage is ____.

Question 35

Fill in the blanks to make the statement true.

On the following number line, $(-4)\times 3$ is represented by the point ___ .

which of the following indicates the product of 5 taken 6 times ?

Question 34

If an angle is ${60}^{\circ }$ less than two times of its supplement, then the greater angle is
(a) ${100}^{\circ }$
(b) ${80}^{\circ }$
(c) ${60}^{\circ }$
(d) ${120}^{\circ }$

The reciprocal ratio of $12:18$ is

Find the value and express as a rational number in standard form:

(i) (2/5) ÷ (26/15)

(ii) (10/3) ÷ (-35/12)

Rotate the red point aobut the green point 90 degrees counter clockwise.

Evaluate the value of ${36}^2-{35}^2$.

___

CM and RN are respectively the medians of $\Delta ABC$ and $\Delta PQR$. If $\Delta ABC\sim \Delta PQR$, prove that:



(i) $\Delta AMC\sim \Delta PNR$



(ii) $\frac{CM}{RN}=\frac{AB}{PQ}$



(iii) $\Delta CMB\sim \Delta RNQ$

Question 21

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

For a non-zero integer $x,x^7÷x^{12}$ is equal to:

(a) $x^5$

(b) $x^{19}$

(c) $x^{-5}$

(d) $x^{-19}$

Match the following columns.

Group all the like terms together.
$7x^2,8x^4,12xy,6x^3,31x,16yx,44x^5,31xy$.

1. 80

A rectangular sheet of paper is made to cover a cylinder such that the width of the rectangular sheet is equal to the height of the cylinder and length is just enough to go round the cylinder. Which of the following option correctly represents the curved surface area of the cylinder?

State True of False.

Letter C has a horizontal line of symmetry?

Find the value of $x$ $3x-4<2$

Find the speed.

The distance travelled is 12 km in 2 hours.

$\frac{2}{3}+\frac{-4}{5}+\frac{7}{15}+\frac{-11}{20}=?$

(a) $-\frac{1}{5}$

(b) $-\frac{4}{15}$

(c) $-\frac{13}{60}$

(d) $-\frac{7}{30}$

When a coin is tossed, outcomes are

Identify the error, if any.

Which of the following is the coefficient of the given term?



$5x^4$

Ram and Shyam were playing with a ball in the room. They somehow managed to break the window pane. Now, they both peered out of the window (shown in the figure below), and made the following statements:

Ram: The bars in the window make right angle.

Shyam: The bars in the window make acute angle.

What is one-hundredths of a meter?

1. 29

If ED is parallel to AB, then measures of angle m and n are

Solve the following.

The salary of Rama is Rs. 3,600/- per month. She gets an increment of of her salary. What is her salary after the increment?

In the given diagram, $\angle$O^|OB and $\angle$OO^|P are called ________.

Name the order of brackets used in simplifying a problem.

_____, [ ], ( ), { }.

The median of 1, 2, ......n; where n is an odd number is the value of which of the following observation?

Question 52

Will the lengths of line segment AB and line segment BC make the length of line segment AC in the figure?