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Dividing $(a+b{)}^2+(a-b{)}^2$ by $(a^2+b^2)$ gives___.

(a) Find the number of line segments in the following figure.

(b) Find the values of angles x, y and z in each of the following:


[4 MARKS]

Pavan was wondering if he can find angle subtended between the hour hand and minute hand. So, he decided to find the angle between hour hand and minute hand when the clock shows 2 p.m. What do you think about the value of the angle (in degrees)? ___

In the given figure if AB = 17 cm, DC =11 cm and BC = 8 cm, then AD = ___ cm.

What is the age of the girl whose height is180 inches? Refer to the bar graph below to answer this question.

Question 68

In questions 60 to 79, state whether the statements are True or False.
0.018 is equivalent to 8 %

In any $△ABC,\frac{1}{r_1^2}+\frac{1}{r_2^2}+\frac{1}{r_3^2}+\frac{1}{r^2}$ is equal to

To find the median we want to arrange data in ascending or desending order and the middle number is the median, if the no.of number are even we won't get middle number then what should we do?

The present age of Pratik and Arjun are in the ratio 2 : 3. After 4 years, the ratio of their age will be 4 : 5. The present age of Arjun is

Which two digit numbers when added to 27 get reversed?

(-64) ÷ [-32 + 8] can also be written as

In an isosceles $\Delta$ABC, $\angle$A is 30${}^{\circ }$. The sides AB and AC are equal. Using constructions, find which side of $\Delta$ABC is the shortest.

Which of the following statement is true?

Fill in the blank.

Navendra wants to divide his 200 square meters of land in the ratio 1:3. Find the area of each part.

Question 88 (f)

Write the following number in the form $\frac{p}{q}$, where p and q are integers.
opposite of three -fifths

If two complementary angles are in the ratio 3: 2, then what is the measure of the bigger angle?

If the length of a rectangle is 25 cm and breadth is 15 cm. Find the ratio of the breadth to the area of the rectangle

Seem a obtained three following scores (out of 100) on a spelling test: 80 85 90 71 60 100.What is her mean score?

Mona Ltd., has issued 20,000, $9\%$ Debentues of Rs 100 each of which half the amount is due for redemption on March 31st 2018. It was decided to invest the required amount towards Debenture Redemption Investment. The company has in its Debenture Redemption Reserve Account a balance of Rs 4,40,000 on 31st March, 2017. Record the necessary journal entries for the Redemption of Debentures.

$\left(i\right)1÷\frac{1}{3}\left(ii\right)3÷\frac{3}{5}\left(iii\right)-\frac{5}{12}÷\frac{1}{16}\left(iv\right)-\frac{21}{16}÷\left(\frac{-7}{8}\right)\left(v\right)0÷(-\frac{4}{7})\left(vi\right)\frac{8}{-5}÷\frac{24}{25}\left(vii\right)-\frac{3}{4}÷(-9)\left(viii\right)‘\frac{3}{4}÷(-\frac{5}{12})\left(ix\right)-5÷(-\frac{10}{11})\left(x\right)\frac{-7}{11}÷\left(\frac{-3}{44}\right)$

Question 24

Fill in the blanks to make the statement true.
In a Mathematics quiz, 30 prizes consisting of 1st and 2nd prizes only are to be given. 1st and 2nd prizes are worth Rs. 2000 and Rs. 1000, respectively. If the total prize money is Rs. 52000, then show that

(a) If 1st prizes are x in number the number of 2nd prizes are ............
(b) The total value of prizes in terms of x are ...........
(c) The equation formed is ...........
(d) The solution of the equation is ...........
(e) The number of 1st prizes are .......... and the number of 2nd prizes are ...........

Question 109

In the given figures (i) and (ii), find the values of a, b and c.

Question 4(i)

Give expressions for the following cases.

7 added to p.

Steps of construction of a right triangle which has hypotenuse of 5 cm and one of the two sides of 3 cm length

You are at an evolution of 368 m above the sea level as you started to motor ride during the ride your evaluation change by following series

544 m , - 278 m, 110m , - 132 M, 488m and 90 m. what is your evaluation relative to sea level at the end of your ride.

Question 16

The area of a square having each side $x$ is

(a) $x\times x$

(b) $4x$

(c) $x+x$

(d) $4+x$

In the below figure,

___ angles are present and they are ___

Rina and Tina went to the market to buy half a dozen apples and two chocolates one for each. What is the amount (in rupees) they spent if each apple cost Rs. $x$ and each chocolate Rs. $y$?

Statement $1$: $0$ is the additive identity for integers.

Statement $2$: Any integer added to zero results in the integer itself.

Choose the correct option.

95% of students are passed in a board exam. Find the number of students failed in the exam if 5400 students are appeared for the exam.

The square of a number is ___

Solve: $28945\times 99-(-28945)$

Which of the following is a constant?

$5y,x,3.14,\frac{3}{2}x$

Choose the correct answers:
If $4^x$ = 64, then

The number which is the multiplicative identity for integers is ___ .

Question 17

Avinash bought an electric iron for Rs 900 and sold it at a gain of 10%. He sold another electric iron at 5% loss which was bought Rs 1200. On the transaction, he has a
(a) profit of Rs 75
(b) loss of Rs 75
(c) profit of Rs 30
(d) loss of Rs 30

Question 07

The standard form of $\frac{-48}{60}$ is

(a) $\frac{48}{60}$

(b) $\frac{-60}{48}$

(c) $\frac{-4}{5}$

(d) $\frac{-4}{-5}$

$3^7\times \frac{9^4}{3^2}=$_____________

Calculate the Mean, Median, Mode of the following data: 5,10,10,12, 13

Are these three equal? [3 MARKS]

If a circular wire of radius 7 cm is bent into the shape of a square, then what will be the area of the square?

If A = [ x:x is a multiple of 3] and B = [x:x is a multiple of 5] , then A - B is ($\overline{A}$ means complement of A)

In general, if the ratio between the sides of two figures is a : b , suggest a general rule for the relationships between

1. the ratio of the sides and the ratio of their perimeters
2. the ratio of the sides and the ratio of their areas.

What is the value of $\frac{100}{0}$?