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By how much is $\frac{18}{20}$ greater than $\frac{7}{20}$?

1. 3

Find value of ∠BAD in the following figure.

Adding 1 to the numerator and subtracting 1 from the denominator of a fraction makes it 1. However, if 1 is added only to the denominator of the fraction it becomes ½ . The fraction is______

Question 3

A cube is a three-dimensional figure. It has six faces and all of them are identical squares. The length of an edge of the cube is given by $l$. Find the formula for the total length of the edges of a cube.

The circle ${\mathrm{x}}^2+{\mathrm{y}}^2+4\mathrm{x}-4\mathrm{y}+4=0$ touches

Question 137(i)

While studying her family's history, Shikha discovers records of ancestors 12 generations back. She wonders how many ancestors she had in the past 12 generations. She starts to make a diagram to help her figure this out. The diagram soon becomes very complex.







Make a table and a graph showing the number of ancestors in each of the 12 generations.

If I sell $\frac{4}{5}$ of 10 apples, how many are left?

Which among the following is not the net of an open cube?

If one of the factors of $x^2+x-20$ is $(x+5)$, find the other factor.

Question 2 (i)

Find the LCM and HCF of 26, 91 and verify that LCM $\times$ HCF = product of the two numbers.

Verify that
(i) 4 is a zero of the polynomial, p(x) = x - 4.
(ii) -3 is a zero of the polynomial, q (x) = x + 3.
(iii) $\frac{2}{5}$ is a zero of the polynomial, $f\left(x\right)=2-5x$
(iv) $\frac{-1}{2}$ is a zero of the polynomial, g(y) = 2y + 1.

The area of the figure formed by joining the mid-points of the adjacent sides of a rhombus with diagonals 8 cm and 6 cm is

Question 85 (iii)

Expand the following, using suitable identities.

${(\frac{4}{5}a+\frac{5}{4}b)}^2$

Question 64

Will the quotient $7\frac{1}{6}÷3\frac{2}{3}$ be a fraction greater than 1.5 or less than 1.5? Explain.

From a $25cm\times 35cm$ rectangular cardboard, an open box is to be made by cutting out identical square of area $25c{m}^2$, one from each corner and turning up the sides. The volume of the box is:

In the figure given above, what is the value of $tan\theta$ in terms of a,b and c?

Let ABCD be a quadrilateral in which AD is the largest side and BC is the smallest side. Prove that ∠A < ∠C. (Hint: Join AC)

The front compound wall of a house is decorated by wooden spheres of diameter 21 cm, placed on small supports as shown in the figure. Eight such spheres are used for this purpose, and are to be painted silver. Each support is a cylinder of radius 1.5 cm and height 7 cm and is to be painted black Find the cost of paint required if silver paint costs 25 paise per $c{m}^2$ and black paint costs 5 paise per $c{m}^2$

Four times a number exceeds its one-third by 121. Find the number

An electrician has to repair an electric fault on a pole of height 4 m. He needs to reach a point 1.3 m below the top of the pole to undertake the repair work. What should be the length of the ladder that he should use which when inclined at an angle of ${60}^{\circ }$ to the horizontal would enable him to reach the required position? [2 MARKS]

If $lo{g}_{10}x=y$. Then,

Question 82(i)

Given below is a frequency distribution table. Read it and answer the questions that follow.

$\begin{array}{cc}Classinterval& Frequency\\ 10-20& 5\\ 20-30& 10\\ 30-40& 4\\ 40-50& 15\\ 50-60& 12\end{array}$

What is the lower limit of the second class interval ?

The surface area of a sphere is $5544c{m}^2$. Find the diameter.

In the figure, if l||m||n and $\angle 1={60}^0$, find $\angle 2$.

Question 47

The angles P, Q, R and S of a quadrilateral are in the ratio 1 : 3 : 7 : 9. Then, PQRS is a

a) Parallelogram

b) Trapezium with $PQ\parallel RS$

c) Trapezium with $QR\parallel PS$

d) Kite

Find the Area of the Square ADEC given in the figure.