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Which of the drawings (a) to (d) show:

(i)

(ii)

(iii)

(iv)

(a)

(b)

(c)

(d)

Suppose $a_2,a_3,a_4,a_5,a_6,a_7$are integers such that $\frac{5}{7}=\frac{a_2}{2!}+\frac{a_3}{3!}+\frac{a_4}{4!}+\frac{a_5}{5!}+\frac{a_6}{6!}+\frac{a_7}{7!}$ where 0 $\le$ a< j for j= 2,4,5,6,7.

The sum $a_2+a_3+a_4+a_5+a_6+a_7$ is

A circle is inscribed in a square of side length 14 cm. Find the area of the shaded region.

Which of the following is the same as $7^{15}$?

Question 31

$\frac{1}{5}÷\frac{5}{6}=\frac{1}{5}$ ___ $\frac{6}{5}$

If $\frac{a\times a\times a......\times a..\text{m times}}{b\times b\times b......\times b..\text{m times}}$, then it is equal to

Tap on the bubbles with subtraction statements that require borrowing.

Write which is a set and which is not a set in the groups given below.

Counting numbers

Question 60

The shadow of a 3m long stick is 4m long. At the same time of the day, if the shadow of a flagstaff is 24 long, how tall is the flagstaff?

Question 102
By what minimum angle does a regular hexagon rotate so as to coincide with its original position for the first time?

The weight of a stone is $45700000000000$ grams. What is the weight of the stone in standard form in kilograms?

The vectors $\overrightarrow{b}$ and $\overrightarrow{c}$ are in the direction of north-east and north-west respectively and $|\overrightarrow{b}|=|\overrightarrow{c}|=4$. The magnitude and direction of the vector $\overrightarrow{d}=\overrightarrow{c}-\overrightarrow{b},$ is

The heights of the two buildings are $34m$ and $29m$ respectively. If the distance between the two buildings is 12m, find the distance between the top of the buildings.

Question 3(b)

See the figure and find the ratio of:

Number of squares to all the figures inside the rectangle.

What must be subtracted from 1729 to get a perfect square?

Which of the following division operations does not result in a whole number.

Look at the pattern given:





If we consider a single figure, then what pattern does the number of squares in each row follow?

Define additive identity and additive inverse. Give an example.
[2 MARKS]

What is (5x-7) when x = -1?

If two supplementary angles are in the ratio 4 : 5 then the angles are :-

Find the value of $(1.8{)}^2\times (0.5{)}^2$

The domain of $f\left(x\right)={(4^x+8^{\frac{2x-4}{3}}-52-2^{2(x-1)})}^{\frac{1}{4}}$ is

Question 47

State whether the given statement is true or false
$(10\times 10{)}^{10}={10}^{10}+{10}^{10}$

1. 15

In the given figure, ∠ABC = ${90}^{\circ }$ and BM is a median, AB = 4 cm and BC = 3 cm. Then, choose the correct option(s).

If the measures of two of the angles of a triangle are 25 degrees and 60 degrees, then the third angle is _____.

Question 17

Fill in the blank to make the statement true.

An angle greater than ${180}^{\circ }$ and less than a complete angle is called _________.

Ram decided to count the number of line segments in his name. He wrote his name as shown below. Find the total number of line segments in his name.

How many square tiles of side $9cm$ will be needed to fit in a square floor of a bathroom of side $720cm$? Find the cost of tiling at the rate of rupees $7.50$ per tile.

Find the areas of circles whose diameters are

(1) 28 cm

(2) 42 cm

(3) 7 cm

(4) 70 cm

What is the value of the angle opposite to the hypotenuse in a right-angled triangle?

$\begin{array}{cc}\text{Properties of multiplication of integers}& \text{Representation}\\ 1.\text{Distributive Property}& a.a\times b=b\times a\\ 2.\text{Commutative Property}& b.a\times (b\times c)=(a\times b)\times c\\ 3.\text{Associative Property}& c.a\times (b+c)=a\times b+a\times c\end{array}$

Pick the option which shows the correct match.