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The sum of two numbers is 31.26. If one of them is 11.76, what is the other number in fractional form?

Question 6(ii)
Set up an equation in the following case:
Laxmi’s father is 49 years old. He is 4 years older than three times Laxmi’s age. (Take Laxmi’s age to be y years.)

Which of the following should be the FIRST sentence after rearrangement?

Which of the following is the smallest rational number?

A is 5.6 cm north of B, B is 4.4 cm north of C. If D is a point 15.77 cm south of A, how far is it from C?

Bill took his time to admire the “House of Rational Numbers, Q”. He observed an interesting feature of the occupants on Earth 2.

The physical size of the occupants depends on their numerical value, i.e. if “a” and “b” are two occupants of the house, the sizes of “a” and “b” depend on the numerical values“a” and “b”. If a $>$ b, then “a” would appear larger and if a $<$ b, “a” would appear smaller compared to “b”

Bill noticed TWO occupants of the house which were equal in size. Who could these occupants be? Choose all the correct possible pairs.

Convert 22 m/s into km/h.

${1400}^n$ is NOT divisible by which of the following, if n is a natural number:

Question 33

Fill in the blank to make the statement true
1 million = ___

Question 34

$93.5\times 100=$ ___.

The cost of an article is Rs.15500 and Rs. 450 is spent for its repair. If the article is sold at a profit of 15% , then what is the selling price?

{(-57) ÷ 3} ÷ 19

Question 60

State whether the statement is True or False.

All congruent triangles are equal in area.

Question 51

State whether the given statement is True or False.

If $\frac{p}{q}$ is a rational number and m is a non-zero integer then $\frac{p}{q}=\frac{p\times m}{q\times m}$

Question 2(vi)
Express the following in exponential form:
(vi) $a\times a\times a\times c\times c\times c\times c\times d$

In the figure below, lines RS and PQ intersect each other at point O. If $\angle POR:\angle ROQ=7:13$ , find $\angle SOQ$.

Question 1 (i)

Find the sum:
$\frac{5}{4}+\left(\frac{-11}{4}\right)$

From a rope $11m$ long, two pieces of lengths $2\frac{3}{5}m$ and $3\frac{3}{10}m$ are cut off. What is the length of the remaining rope?

Line l and m are parallel to each other. A transversal intersects them at points A and B.

i) An arc of suitable measure is taken from B cutting ‘l’ at D and transversal at M (as shown in the figure).

ii) Now, with the same radius and A as centre an arc FG is drawn (as shown in the figure).

What is the relation between length of arc DM and arc FG?

The longer side of a parallelogram is 81 cm and the corresponding altitude is 16 cm. If the length of the shorter side is 24 cm, what is the altitude corresponding to the shorter side?

Radha is drawing a dot Rangoli (a beautiful pattern of lines joining dots with chalk powder as shown in figure). She has $9$ dots in a row. How many dots will her Rangoli have for $r$ rows? How many dots are there if there are $8$ rows? If there are $10$ rows?

Question 27

Encircle the odd one of the following:

(a) (-1, -2)
(b) (-5, +2)
(c) (-4, +1)
(d) (-9, +7)

Question 102

State whether the statement is True or False.

If two angles and a side of a triangle are equal to two angles and a side of another triangle, then the triangles are congruent.

Question 10

If 43m = 0.086, then the value of m is

(a) 0.002

(b) 0.02

(c) 0.2

(d) 2

Question 35

Fill in the blanks to make the statement true.

x - 0 = ................ when 3x = 12.

Diameter of a circular park is 14 m. Find the perimeter ($\pi$= 22/7). Select all that apply.

1. 78

If a line segment is indefinitely extended in both the directions, then we will get a ___.

Why do we need a divider to compare the lengths of line segments, when we can use the ruler for the same purpose?

A bag contains 25 kg of rice at ₹ 20.04 per kg and 20 kg of dal at ₹ 15.28 per kg. What is the total cost of 5 such bags?

If a = 4 and b = 3, Evaluate $a^a+b^b$

For the following data: 41,43,127,99,61,92,71,58,57, if 58 is replaced by 85, what will be the new median?

Which of the following is not equivalent inequation to -3x+1 > 4 ?

ROCK is a rectangle with sides 8 cm and 6 cm. BAND is a rhombus obtained by joining the mid-points of the sides of the rectangle. Find the area of BAND in sq cm.

1. 24

Question 35

In questions 24 to 59, fill in the blanks to make the statements true.
Out of a total deposit of Rs. 1500 in her bank account, Abida withdrew 40 % of the deposit. Now, the balance in her account is ___ .

In the above figure, find $\angle OTC$.

The product of two rational numbers is $\frac{-36}{49}$ . If one of the numbers is $\frac{-4}{7}$, find the other number.

If ‘X’ is the order of rotation of a regular polygon with ‘n’ sides and ‘Y’ is the number of angles of rotation, what is the value of (X – Y – 1)?

Question 40

Fill in the blanks to make the statement true.

$(-9)\times 20=$___

Which of the following statement is true regarding the shape of a shadow?

Here is a chart that gives the priority of different devices used in a time machine. Which device is the most important?

$\begin{array}{cc}\text{Device}& \text{More numbers stars = High priority}\\ \text{Time direction Module}& ★★★★★\\ \text{Batteries}& ★★★\\ \text{AYC(Analog Year counter)}& ★\\ \text{Toolbox}& ★★\end{array}$