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Find the compound interest on ₹ 20,000 for 3 years at 10% per annum compounded annually.

Observe the given construction, if $\angle BAE={60}^{\circ }$, then $\angle BAC$ will be

Find the value of the given expression using multiplication idendities. $24\times 76+105\times 209$

Name the polyhedron that can be made by folding each of the following nets :

In a rhombus PQRS, ∠SQR = 40° and PQ = 3 cm. Find ∠SPQ, ∠QSR and the perimeter of the rhombus.

Is it possible to construct a unique quadrilateral ABCD with AB = 5cm, BC = 6cm, CD= 7cm , $\angle$ ABC = ${45}^{\circ }$ and $\angle$ BCD = ${55}^{\circ }$?

If $\frac{x}{a}=\frac{y}{b}=\frac{z}{c},$ then $xy+yz+zx=?$

A box with a lid is made of wood which Is 3 cm thick. Its external length, breadth and height are 56 cm, 39 cm and 30 cm respectively. Find the capacity of the box. Also find the volume of wood used to make the box.

$\begin{array}{cc}4A& \\ 4BA& \\ +AAB& \\ 1BBB& \end{array}$

A =___;B=___

There are 750 students in a school. If there are "x" boys and 110 more girls then, the linear equation is :

a) x + x +110= 750

b) 2x + 110 = 750

c) x + x = 750 + 110

d) 110x = 750

Question 13

Ten observations 6, 14, 15, 17, x+1, 2x – 13, 30, 32, 34 and 43 are written in an ascending order. The median of the data is 24. Find the value of x.

1. 1331

Fnd the least number of three digits which is perfect square.

Additive inverse of 2/3 lies between ______ .

Question 7 (iii)

Without adding, find the sum:

1 +3 + 5+7 + 9 +11 +13+ 15 + 17+19 + 21 + 23

Make a bar graph from the above data.

$\begin{array}{cc}Month& Temperatur{e}^{\circ }c\\ Jun& 46\\ July& 50\\ Aug& 44\\ Sept& 32\\ Oct& 20\\ November& 10\\ Dec& 2\end{array}$
[3 MARKS]

Find the ratio between one side of the triangle in the photograph to one side of the triangle in the actual drawing.

Question 11

Anish made 42 runs in 6 overs and Anup made 63 runs in 7 overs. Who made more runs per over?

Water is stored up to its brim in a right circular cylinder of volume $100c{m}^3$. How many bottles of $10c{m}^3$ will be required to empty the cylinder?

Suppose m is an integer such that m ≠ –1 and m ≠–2. Which is larger ? State your reasons.

The list price of an article is Rs. 800 and is available at a discount of 15 percent. Find : (i) the selling price of the article; (ii) the cost price of the article. if a profit of 13$\frac{1}{3}$% is made on selling it.

The following data were acquired in a study of diabetic patients.

ABC is a triangle in which D is the mid-point of BC. E and F are mid-points of DC and AE respectively. If ar($△$ABC) = 16 $c{m}^2$, then
ar($△$DEF) is:

Ipsa bought a car which covers 363 km in 24.2 liters of petrol. One day, she has to go to airport but in her car there was only 7 liters of petrol, how far can she go?

Find the volume of a cube of side 8 cm

In the elections of 2019, if the total number of votes received by candidates B and C together were given to candidate D, then what is the difference between the number of votes received by candidates A and D in the same election?

1. 286000

Represent the set U={x/x ‹10 X belongs to N } A'= {1,2,3,4,5,6}, B={2,3,4,5},C={2,3,4} , D= {3,4} by Venn diagram

Find the degree of the third term of the polynomial expression $3x{y}^3+5xy+9x^2{y}^4+8x^{2}y$ when written in standard form.

Question 83 (xviii)

Multiply the following :

$(\frac{3}{4}x-\frac{4}{3}y),(\frac{2}{3}x+\frac{3}{2}y)$

The method by which two similar quantities are compared by using division is known as comparison by

If we draw a histogram for the frequency distribution table below, what is the value of a, b, c and d?

​​

Let PQRS be a kite such that PQ > PS. Prove that ∠PQR > ∠PSR. (Hint: Join QS).

Compute the compound interest for 25,000 rupees at 9% for 2 years.

From the following Receipts and Payments Account of Sonic Club and from the given additional information, prepare Income and Expenditure Account for the year ending 31st March, 2015 and the Balance Sheet as at that date :

Receipts and Payments Account
for the year ending 31st March, 2015
Dr. Cr.
$\begin{array}{cccc}\text{Receipts}& \text{Rs}& \text{Payments}& \text{Rs}\\ \text{Balance b/d}& 1,90,000& \text{Salaries}& 3,30,000\\ \text{Subscriptions}& 6,60,000& \text{Sports Materials}& 4,00,000\\ \text{Interest on Investments}& & \text{Balance c/d}& 1,60,000\\ 8\%\text{p.a. for full year}& 40,000& & \\ & \underset{–}{\overline{8,90,000}}& & \underset{–}{\overline{8,90,000}}\end{array}$

Additional Information :

(i) The club had received Rs 20,000 for subscription in 2013-14 for 2014-15.

(ii) Salaries had been paid only for 11 months.

(iii) Stock of Sports Materials on 31st March, 2014 was Rs 3,00,000 and on 31st March, 2015 was Rs 6,50,000.

If x+1 is a factor of x³ + 3x² + 3x + a, then a=?