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An ice- berg shrinks by one- fourth every month. If its current height is 6428 m. above sea level. Calculate the height of the ice berg after 4 months.

6428/4 = 167

So first month 6261.

Now second month will be 6261/4 or 6428/4?

Question 6(iv)
Simplify:
(iv) $3\times 4^4$

Ted with his friend Ned, was watching Mission Impossible. It was the climax scene, Ethan Grunt jumping from an airplane during the night. With the help of his gadgets, he got a blueprint of a parallelogram-shaped land he was about to land on and its measurements. Find the area of the place he can land to cheat death one more time by not falling in the rectangular killer swamp!

Question 39

In the following question, fill in the blanks with correct symbol >, < or =.

$0÷\left(\frac{-5}{6}\right)=$ ___

The graph below shows average height of girls at different ages. What will be the age of the girl whose height is 65 inches?

Question 6
Angles Q and R of a $\Delta$PQR are ${25}^{\circ }$ and ${65}^{\circ }$.
Write which of the following is true:
(i) $P{Q}^2+Q{R}^2=R{P}^2$
(ii) $P{Q}^2+R{P}^2=Q{R}^2$
(iii) $R{P}^2+Q{R}^2=P{Q}^2$

The L.C.M of 27 and 12 is _________.

Add and express the sum as mixed fraction: (i)$\frac{-12}{5}and\frac{43}{10}$ (ii)$\frac{24}{7}and\frac{-11}{4}$ (iii)$\frac{-31}{6}and\frac{-27}{8}$ (iv)$\frac{101}{6}and\frac{7}{8}$

The length of a rectengular plot of land is 203 metre If its breadth is 140 metre find its area

In the given figure, find the measure of $\angle RQT$ if PQ = QR and $\angle QPR={60}^{\circ }$.

Insert one of the following >,<,=

((-3)-(-4)) ____ ((-4)+(-3))

Question 4 (b)

What should be subtracted from 2a + 8b + 10 to get -3a + 7b +16?

Question 5 (iv)

When a = 0, b = -1, find the value of the given expression:
$a^2+ab+2$

The ratio of 12m : 15 km : 20 m can be simplified as _______

What is the sum of all the exterior angles of a triangle?

A bag contains 5 black, 7 red and 3 white balls. A ball is drawn from the bag at random. What is the probability that the ball drawn is either black or white?

Two numbers are there in a ratio 10:11. There sum is 168.find the numbers

$\text{Solve for x.}$

$15-2(5-3x)=4(x-3)+13$

Question 84

One of the two numbers is twice the other. The sum of the numbers is 12. Find the numbers.

Question 25

In the given figure $\angle AOC$ and $\angle BOC$ form a pair of

(a) vertically opposite angles
(b) complementary angles
(c) alternate interior angles
(d) supplementary angles

Question 150 (ii)

In the given figure, PQ = PS and$\angle 1=\angle 2$
Is QR = SR? Give reason

Question 103

In the given figure,$QP||RS.$ Find the values of a and b.

Three rays originates from a point as shown. $\angle$AOB is ${145}^{\circ }$ and ∠AOC is ${45}^{\circ }$. Then $\angle$BOC is ___.

The cost of 12 metres of cloth is ₹516. Calculate the price of cloth per metre.

$4^4+4^4+4^4+4^4=4^a$ , then $a=$____

Question 76

State whether the statement is True or False.

We can write a pair of integers, whose sum is not an integer.

X^m = Yⁿ = Z^q , XYZ = 1 and m is not equal to 0, then find 1/m + 1/n + 1/p

Find using suitable property

(-57)×(-19)+57

Which of the following correctly represents 1350 as the product of its prime power?

Question 136

In the given figure, if RP = RQ, find the value of x.

1. 10

Sachin scored twice as many runs as Rahul. Together their runs fell two short of a century.How many runs did each one score?

Mean of 9 observations was found to be 35.Later on it was detected that an observation 81 was misread as 18. The correct mean of the observation was:

One day Mia was watching a cookery show in which they were showing how to bake a cake. They put 3 bowls of sugar for every 5 bowls of flour. For the upcoming party,
if she has put 20 bowls of flour for making a big cake, how much sugar is she going to need?

Candy bars were distributed equally among students of a class. The number of candy bars each student got was one-eighth of the number of students. Had the number of students been half, each student would have got 16 candy bars. What is the total number of candy bars that were distributed? [4 MARKS]

Question 83

In the given figure, write all the pairs of supplementary angles.

If the area of the square $169c{m}^2$, then the length of its side is

Question 26

If the exterior angle of a triangle is ${130}^{\circ }$ and its interior opposite angles are equal, then measure of each interior opposite angle is

a) ${55}^{\circ }$
b) ${65}^{\circ }$
c) ${50}^{\circ }$
d) ${60}^{\circ }$