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Calculate the amount and the compound interest on Rs. 10000 in 3 years at 8% per annum.

Question 10

Write the correct answer from the given four options.

If one member of a Pythagorean triplet is $2m$, then the other two members are

a) $m,m^2+1$
b) $m^2+1,m^2-1$
c) $m^2,m^2-1$
d) $m^2,m+1$

The following data shows the score of seventh-grade students on a test:



Minimum value $=40$

Upper quartile $=70$

Inter-quartile range $=20$

Median $=60$

Maximum value $=80$



Choose the correct box and whiskers plot of the above data.

An isosceles triangle ABC has AC = BC. CD bisects AB at D and $\angle CAB={55}^{\circ }$. Then $\angle DCB$ equals

Question 1 (ix)
Find the square roots of each of the following numbers by Division method:

576

To construct a $△$ ABC given AB $=7$ cm, $\angle A={35}^{\circ },\angle B={40}^{\circ }$ what will be the measure of third angle is_____ .

Divide 16 into two parts such that twice the square of the larger part exceeds the square of the smaller part by 164.

Represent $\sqrt{5}$ on a number line with a given length of $\sqrt{2}$ and $\sqrt{3}.$

Consider the following steps and arrange them in a proper sequence.

Choose the correct option:

The point (−5, 4) line in ______________

A. the first quadrant

B. the second quadrant

C. the third quadrant

D. the fourth quadrant

$\text{Subtract}\frac{7}{4}\text{from}$$\frac{11}{7}$.

The curved surface area of a cylindrical pillar is 264 $m^2$ and its volume is 924 $m^3$. Find the ratio of its diameter to its height.

Using the information given in the figure, the values of x and y are ________.

1. 4

The number of two-element subsets in the collection $4,5,6,7$ is

Consider the function $2y=1+x.$



Determine $f(2{)}^3-f(3{)}^2.$

Evaluate $\sqrt[3]{3-5832}$

Question 6

A village, having a population of 4000, requires 150 litres of water per head per day.

It has a tank measuring $20m\times 15m\times 6m$. For how many days will the water of this tank last?

6400 workers were employed to construct a river bridge in four years. At the end of the first year, $25\%$ workers were retrenched. At the end of the second year, $25\%$ of those working at that time were retrenched. However, to complete the project in time, the number of workers was increased by $25\%$ at the end of the third year. How many workers were working during the fourth year ?

Question 177(i)

Find x.

$-{\left(\frac{1}{7}\right)}^{-5}÷-{\left(\frac{1}{7}\right)}^{-7}=(-7{)}^x$

Question 146(iv)

The table shows the portion of some common materials that are recycled.

$\begin{array}{cc}\text{Material}& \text{Recycled}\\ \text{Paper}& \frac{5}{11}\\ \text{Aluminium cans}& \frac{5}{8}\\ \text{Glass}& \frac{2}{5}\\ \text{Scrap}& \frac{3}{4}\end{array}$

Arrange the rate of recycling the materials from the greatest to the smallest.

Question 110

The following data represents the approximate percentage of water in varioous oceans. Prepare a pie chart of the given data.
$\begin{array}{cc}\text{Ocean}& \text{Percentage of water}\\ \text{Pacific}& 40\%\\ \text{Atlantic}& 30\%\\ \text{Indian}& 20\%\\ \text{Others}& 10\%\end{array}$

Evaluate $(98{)}^2$ using suitable identity

The sum of the digits of a two-digit number is 7. If the number formed by reversing the digits is less than the original number by 27, the original number is ___ .

Two coins are tossed together . What is the probability of getting :
1) at least one head ?
2) both heads or both tails ?

When we add $5a^{2}b+6ab+7bc+54$ to $14ab+8ac+16$, we will get:

Find the length of a side of a square playground whose area is equal to the area of a rectangular field of dimensions 72 m and 338 m.

Express
the number appearing in the following statements in standard form.

(i) 1
micron is equal to
m.

(ii) Charge
of an electron is 0.000, 000, 000, 000, 000, 000, 16 coulomb.

(iii) Size
of a bacteria is 0.0000005 m

(iv) Size
of a plant cell is 0.00001275 m

(v) Thickness
of a thick paper is 0.07 mm

Mahadevan took out a loan of 5,000 rupees from a tank, which charges compound interest. The rate of interest was 10% for the first year, but it was increased to 12% during the second year. How much money should Mahadevan pay at the end of two years to settle the debt?

By selling 8 pens, Shyam loses equal to the cost price of 2 pens. Find his loss percent.

In ΔPQR, PQ = QR; L, M and N are the midpoints of the sides of PQ, QR and RP respectively. Prove that LN = MN.

Factorise a^3-27/a^3

Write Pythagorean triplet whose one member is

6

The perpendicular to a chord, from the centre of the circle divides the chord in a ratio of :