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Write a digit in the blank space of each of the following no.s so that the no. formed is divisible by 11

a)92_389 b)8_9484

The population of one town is 104820. The number of male voters more than the number of female voters by 12345. IF 26489 persons have not right to vote. How many male voters are there in towm?

$\frac{27x^{3}y}{9x^2}=?$

A student was asked to write an algebraic expression by his teacher. He wrote an expression as: 2$x^3$+3 $x^2$+4x+1

State whether he has written it correctly or not?

Find the third proportional to 4 and 8

The perimeter of a regular octagon, with each side measuring 15 cm will be-

The number of line segments you can get from a rectangular geometrical shape is___

Add : $\frac{3}{5}$ + $\frac{1}{5}$ = ____?

In the expressions $x^3+4xy+3y^2$ and $3x^2+5xy$, which are the like terms?

What is the supplement angle of 128°?

What do we call a triangle with no equal sides?

Which is the easiest and most accurate method to copy a given line segment AB?

(6 $\times$ 5 + 30) $÷$ (10 + 50)-100 $÷$ 2= ___

If you have to represent 13 rupees and 90 paise as decimals, how would you do it?

A lorry carrier measures $10m\times 7m\times 5m.$ Find the maximum number of wooden crates, each measuring $2m\times 1m\times 0.5m$, that can be transported by the lorry.

The length of a snake is 10 cm and that of a crocodile is 2 m. Pick the correct statement.

Question 24.
13$\frac{5}{18}$ is a ___ fraction.

Question 80

In the following question, state whether the given statement is true (T) or false (F).
If a number exactly divides the sum of three numbers, it must exactly divide the numbers separately.

Question 4 (v)

Find the value of:
$\frac{-2}{13}÷\frac{1}{7}$

Question 2 (c)

Express as meters using decimals:
2 m 45 cm

Question 4 (h)

Write the following as decimal:

$\frac{2}{5}$

Question 8 (b)

Find the measure of the angle shown in the given figure. (First, estimate with your eyes and then find the actual measurements with a protractor).

Question 1(b)

Find the perimeter of the figure:

If I move 8 steps to the right from -3 I will reach ___

Write the contrapositive of the following statement.
'If x is prime number, then x is odd'.

Choose the option that gives the side view of the solid figure given below.

Question 17

Out of the given four options, only one is correct. Write the correct answer.

The instrument in the geometry box having a shape of a triangle is called a

(a) protractor (b) compass (c) divider (d) set square

From a 1 litre bottle of water, 320 millilitres spilled out. What amount of water is left in the bottle (in litres)?

Add the fractions $\frac{3}{8}$ and $6\frac{3}{4}$.

An elevator descends into a mine shaft at the rate of 6m/min. If the descent starts from 10m above the ground level,how long will it take to reach (-350)m.

Question 132

Fill in the blank to make the statement true.

24 x 35 = 24 x 18 + 24 x .........

3150 has factors in all.

How to calculate the highest 9 digit number using 8,7,6,5? How to calculate similar problems using different combinations?

After angle bisection, the obtained angle is ${52}^{\circ }$. How many degrees is the angle that was bisected?

__ degree.

Question 5 (b)

Express the following as kg using decimals:
100 g

(a) There are two sets of parallel lines passing through a plane. A transverse line is intersecting the two set of lines. Find out the number of the distinct intersecting points made by the transverse line?

(b) The following diagram shows parallel lines cut by a transversal. Find x. [3 MARKS]

Michelle distributed 120 chocolates among 26 children. How many chocolates did each child get? Is the distribution even?

The set builder form of "A = { January, June, July }" is

Use Euclid's algorithm to find the HCF of 4052 and 12576. [3 MARKS]

The following particulars relate to Madras Club for the year 31st March, 2018.

$\text{Dr}\text{RECEIPTS AND PAYMENTS ACCOUNT}\text{Cr}\begin{array}{ccccc}\text{Receipts}& & \text{Amount}& \text{Payments}& \text{Amount}\\ & & \text{(Rs)}& & \text{(Rs)}\\ \text{To Balance b/d}& & 60,000& \text{By Salaries}& 1,24,500\\ \text{To Subscription :}& & & \text{By Stationery}& 24,000\\ 2016-17& 2,400& & \text{By Rent}& 36,000\\ 2017-18& 1,26,600& & \text{By Telephone Expenses}& 6,000\\ 2018-19& \underset{–}{4,800}& 1,33,800& \text{By Furniture}& 75,000\\ \text{To Income from canteen}& & 90,000& \text{By Advertisements}& 10,500\\ \text{To Miscellaneous}& & 4,500& \text{By Postage}& 10,000\\ \text{To Sale of Old Assets}& & 11,200& \text{By Sundry Expenses}& 50,000\\ \text{To Interest}& & 48,000& \text{By Balance b/d}& 1,72,000\\ \text{To Donation}& & 1,00,000& & \\ \text{To Entrance Fees}& & 60,000& & \\ \text{Total}& & 5,08,000& \text{Total}& 5,08,000\end{array}$
You are required to prepare an Income and Expenditure Account and Balance Sheet after making the following adjustments:

(i) There are 450 members each paying a monthly subcription of Rs 25, Rs 2,700 being arrears of 2016-17 on 1-04-2017.

(ii) A donation of Rs 20,000 was wrongly recorded as interest income.

(iii) Entire donation and half of entreance fees are to be capitalised.

(iv) Stock of stationery on 01-04-2017 was Rs 3,000 and on 31-03-2018 was Rs 5,400.

(v) Cost of building is Rs 6,00,000 on 01-04-2017, depreciate it at 5% p.a. Furniture valued at Rs 75,000 was purchased on 31-03-2018.

A mathematics teacher wanted to see, whether the new technique of teaching she applied after the quarterly test was effective or not. She took the scores of the 5 weak children in the quarterly test (out of 25) and in the half-yearly test (out of 25): [4 MARKS]

$\begin{array}{cccccc}\text{Students}& \text{Ashish}& \text{Arun}& \text{Kavish}& \text{Maya}& \text{Rita}\\ \text{Quarterly}& 10& 15& 12& 20& 9\\ \text{Half yearly}& 15& 18& 16& 21& 15\end{array}$

Draw a double bar graph. Using the graph answer the following questions.
(i) Is the new technique of teaching effective?
(ii) Who has benefitted more from the new technique?

Which of the following is a 3-D shape?

Two angles of a quadrilateral are 80${}^{\circ }$ and 160${}^{\circ }$. If the remaining two angles are equal, find the remaining angles.

Round off 78.25 metres to its nearest tens.