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Maya found a box with a paper. The paper had a matrix with some figures inside it. In the last block, there was a '?'.

Find what will come in the place of '?' in the figure of the matrix given below.

1. 20

Question 2 (ii)

Add:

t - 8tz, 3tz - z, z - t

Question 79(iii)

Given, the principal = Rs. 40000, rate of interest = 8% per annum compound annually. Find Interest for 2nd year.

Shalini borrowed ₹ 35,000 at a simple interest rate 8. 5 % per annum. How much money will she pay at the end of 4 years to clear her debt

Fill in the blanks to make the following statements true:

(i) (− 5) + (− 8) = (− 8) + (…)

(ii) − 53 + … = − 53

(iii) 17 + … = 0

(iv) [13 + (− 12)] + (…) = 13 + [(− 12) + (− 7)]

(v) (− 4) + [15 + (− 3)] = [(− 4) + 15] +

Question 153 (i)

Observe the following figure and state the three pairs of equal parts in $\Delta ABC$ and $\Delta DBC$.
Is $\Delta ABC\cong \Delta DCB$? Why?

On birthday, Oliver equally distributed $1,525$ chocolates among her $25$ classmates. How many chocolates will each of her friends get ?

Area of the triangle considering BC as a base is ________.

What is the ratio of the number of men learning dancing to the number of women doing the same?

नीचे शब्दों के बदलते रूप को दर्शाने वाला नमूना दिया गया है। उसे देखो और अपनी सुविधानुसार तुम भी दिए गए शब्दों को बदलो।

नमूना –गिरना –गिराना –गिरवाना

In the given figure, AB || CD and a transversal t cuts them at E and F respectively. If EG and FG are the bisectors of $\angle BEF$ and $\angle EFD$ respectivley, prove that $\angle EGF={90}^{\circ }$

(a) DA bisects $\angle BAC$ and $\angle B=\angle C$. Prove that $\Delta BDA\cong \Delta CDA$.

(b) If these triangles are congruent, choose the property by which they are congruent.

[4 MARKS]

Question 78 (i)

IF a and b vary inversely to each other, then find the values of p,q,r

Question 95

What should be added to $\frac{-1}{2}$ to obtain the nearest natural number?

0.00000000837 is expressed in its standard form as $x.37\times {10}^y$, where x and y are integers. Express the number $y\times {10}^x$ in its normal form.

1. 60

What is the central angle corresponding to the number of novels (romantic and horror) sold by store B?

In $\Delta$ ABC, AB = BC and AC = CD and $\angle$B = x${}^0$ and $\angle$D = y${}^0$ then x${}^0$ +4 y${}^0$ equal -

$7^2\times 2^2$ =___

A die was rolled 60 times and the result is as follows.

Find the probability of getting
(i)1
(ii) 5
(iii) an even number.

$$\begin{array}{ccccccc}\text{Number}& 1& 2& 3& 4& 5& 6\\ \text{Frequency}& 12& 14& 9& 15& 6& 4\end{array}$$ [3 MARKS]

Question 94

Three lines AB, CD and EF interesect each other at O. If $\angle AOE={30}^{\circ }and\angle DOB={40}^{\circ }$ (see the figure). Find $\angle COF.$

In the given figure:

If AB = 5 cm , QR = 7 cm; then find the value of AC (in cm), if the perimeter of
$△ABC$ is 18 cm.

Question 109

Evaluate: $\frac{0.6}{0.3}+\frac{0.16}{0.4}$

Given that line $p||q$. What is the value of $y$ ?

Write a Pythagorean triplet whose one member is 6.

Question 94 (k)

Taking $x=\frac{-4}{9},y=\frac{5}{12}$ and $z=\frac{7}{18},$ find
$x-(y+z)$

Question 41

In $\Delta ABC$, $\angle A={50}^{\circ },\angle B={70}^{\circ }$ and bisector of $\angle C$ meets AB at D as shown in the given figure. Measure of $\angle ADC$ is

a) ${50}^{\circ }$
b) ${100}^{\circ }$
c) ${30}^{\circ }$
d) ${70}^{\circ }$

Christopher was going home, he saw a burger shop on the way. He stopped there and ordered 8 burgers for him. He can eat 1 burger in 10 min, then how much time will he take to start his journey again towards his home if he leaves the shop right after eating?