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In an analog watch, the minute hand is at 12. The angle between the hour hand and the minute hand is ${150}^{\circ }$. What could be the time?

Area of a parallelogram is $625m^2$. Find the length of sides of parallelogram if altitude corresponding two sides are $20m$ and $25m$.

Which of the following graph indicates the proportional relationship: y = 22x

Study the pie – chart carefully to answer the following questions.

The pie-chart shows the percentage of students studying different specialisations in a management institute. The total number of students is 4500.



Ratio of men to women in each specialisation

$\begin{array}{ccc}\text{Specialisation}& \text{Men}& \text{Women}\\ \text{HR}& \text{2}& \text{3}\\ \text{Marketing}& \text{7}& \text{5}\\ \text{International Business}& \text{5}& \text{1}\\ \text{Banking}& \text{17}& \text{10}\\ \text{IT}& \text{1}& \text{2}\\ \text{Finance}& \text{5}& \text{4}\end{array}$



(A) What is the total number of men studying Banking and International Business?

(B) The number of women studying Finance is what percentage of the number of men studying the same?

A friend of Steve who is a gardener is dealing with some issues about planting seeds. It turns out that she has a square garden and decided to plant seeds of beautiful flowering plants at these following particular locations. What are the coordinates of the location of the planted seeds in order $A,B,C$ and $D$?

Write the negation of the following statement:

'There does not exist a quadrilateral which has all its sides equal'

Solve $\frac{1}{3}-(\frac{5}{6}\times \frac{9}{18})+\frac{2}{9}$.

Question 69

A number exceeds the other number by 12. If their sum is 72, find the numbers.

Choose the option that contains like terms from the following terms.

$12x,12a,25p,25q,xand12y.$

Question 4 (iv)

Find the square roots of the following numbers by the Prime Factorizationmethod:

4096

20 pens are divided between A and B in the ratio 3:2. Find their respective shares.

In the given figure, show that $\angle 1+\angle 3+\angle 8+\angle 6={360}^0$. [2 MARKS]

Q. Ravi lent Rs. 400 to Ashok for 2 years, and Rs. 100 to Mukesh for 4 years and received togher from both Rs. 60 as interest. FInd the rate of interest (Simple Interest), being calculated.



Q. रवि ने अशोक को 2 साल के लिए 400 रु और मुकेश को 4 साल के लिए 100 रुपये उधार दिए और दोनों से ब्याज के रूप में उसे 60 रुपए प्राप्त हुए। ब्याज की दर (साधारण ब्याज) ज्ञात करें।

Question 70

State whether the following statement is true or false:

If $a^2$ ends in 5, then $a^3$ ends in 25.

Find the sum of :

2a + 4b +7, 8a – 3b + 3 and -5a – 8b – 5

Which of the following expression represents the area of a rectangle with $5p^3{q}^2$ as length and $5^7{p}^2{q}^4$ as width?

Question 1(a)
Evaluate the following
(- 30) $÷$ 10

60 - (- 20) - (- 3) = ?

Find the area of the shaded portion. A circle in inscrided in a square such that both their centres coincide. BDE is an isosceles triangle. Side of a square is 10 m.
[4 MARKS]

Question 120

Simplify:



$\frac{125\times x^{-3}}{5^{-3}\times 25\times x^{-6}}$

The angle subtended by an arc at the centre is 120 degrees. The angle subtended by it on the circumference is

Question 5 (i)

When a = 0, b = -1, find the value of the given expression:
2a + 2b

Which of the following is a linear equation in two variables?

$$\begin{array}{ccccc}X& 2& 4& 5& 50\\ Y& 4& 8& 10& 100\end{array}$$

If $x$ and $y$ are directly proportional, find the value of constant of proportionality.

Choose the correct option for the scientific notation of $(300{)}^4.$

The area of a trapezium-shaped field is 600 m², the distance between two parallel sides is 15 m and one of the parallel sides is 20 m. What is the length of the other parallel side?

Find the rate of interest.

Principal = Rs. 10,000; time = 2 years; amount = Rs 12,000