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Question 79(i)

Given, the principal = Rs. 40000, rate of interest = 8% per annum compound annually. Find Interest if period is one year.

Fill in the blanks:

(a) The y-coordinate of a point on the x-axis is ____________.

(b) The x-axis coordinate is called as ____________.

(c) The x-axis and y-axis intersect at ____________.

(d) If a point (x, y) ≠ (0, 0) is in the third quadrant, then x + y has _____________ sign.

(e) If a point (x, y) lies above horizontal axis, then y is always _____________.

(f) The point of intersection of x = y and x = − y is ____________.

(g) The line y = 4x + 5 intersects y-axis at the point ____________.

Which of the given region represents $b^2$?

A man sold a bicycle at 5% profit. If the cost had been 30% less and the selling price Rs.63 less, he would have made a profit of 30%. What was the cost price of the bicycle ?

Question 109

Solve the following question:

Find the least square number, which is exactly divisible by 3, 4, 5, 6 and 8.

Question 63

The buying price of 5 kg of flour with the rate Rs 20 per kg, when 5% sales tax is added on the purchase, is Rs 21.

After introduction of biodegradable bags, the plastic bag consumption is reduced by half of the total quantity.



The consumption before introduction is given as:





Calculate the present plastic bag consumption.

A running track of length $440$ m is to be laid around a football field, the shape of which is a rectangle with a semi-circle at each end. If the area of the rectangular portion is to be maximum, then the lengths of its sides is

Find $x$, if $9\times 3^x=(27{)}^{2x-3}$

Question 91 (iii)



Factorise the following:



$y^2+18y+65$

The total surface area of a cylinder of radius 'r' and height 'h' is _____.

The percentage share of sales tax revenue of which state has increased from 1997 to 2001?

Each interior angle of a polygon is ${108}^{\circ }$. How many sides does it have ?

$5\times 5\times 5\times 5\times 5\times 5\times 5\times 5$ can be represented as

Construct triangle ABC in which BC = 6 cm, AB − AC = 3.1 cm and∠B = 30°

Rational numbers are not closed under which operation?

The following table gives the quantity of petrol and its cost

$\begin{array}{ccccc}NoofLitresofPetrol& \text{10}& \text{15}& \text{20}& \text{25}\\ CostofPetrolinRs.& \text{500}& \text{750}& \text{1000}& \text{1250}\end{array}$

Plot a graph to show the data.

There is a quadrilateral PLAY with PL = 3cm, LA = 4cm, AY = 4.5 cm, PY = 2cm. Which of the following values of LY is not possible?

Question 33

Fill in the blanks to make the statements true.

The cube of 100 will have ___ zeroes.

Question 144(iii)

Four friends had a competition to see how far could they hop on one foot. The table given shows the distance covered by each.

$\begin{array}{cc}\text{Name}& \text{Distance covered (in km)}\\ \text{Seema}& \frac{1}{25}\\ \text{Nancy}& \frac{1}{32}\\ \text{Megha}& \frac{1}{40}\\ \text{Soni}& \frac{1}{20}\end{array}$



Who walked farther, Nancy or Megha?

A bottle filling machine can fill 238 bottles in 2hrs. In 7hrs, it can fill ___ bottles.

The table below shows the maximum and minimum temperatures recorded on a particular day at six districts of Kerala. Draw a bar graph representing this data:

Identify the nonlinear function(s).

Question 32

In the following question, out of the four options, only one is correct. Write the correct answer.

Cube of $-\frac{1}{2}$ is

(a) $\frac{1}{8}$

(b) $\frac{1}{16}$

(c) $-\frac{1}{8}$

(d) $-\frac{1}{16}$

Question 53

The total number of outcomes when a coin is tossed, is ___,

Which of the following is a linear expression ?

a) $x^2\times y+xy+1$

b) $2x+3y+1$

c) $x^3\times y+xy+1$

d) $345x^2$

Find the squares of:

(i) 31, (ii) 72; (iii) 37; (iv) 166.

Question 4 (i)

Name the quadrilateral whose diagonals:

(i) Bisect each other.

Suppose you are the Principal of a school. There are a few rules for the allocation of students to their sections. 50% of students go to section A, 30% to section B and 20% to section C. There are 150 students in total. If you have to represent the allocation using a graphical method, which one of the following would you prefer?