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Find the leftmost and the rightmost number when the following numbers are represented on the number line.

$\frac{-19}{10},\frac{-9}{5}\frac{-8}{5}\frac{-3}{2}\frac{-17}{10}$

Angles of a triangle are $(x+{10}^{\circ }),(x+{40}^{\circ })$ and $(2x-{30}^{\circ })$. Find the value of x.

Write the inverse of the statement 'If you get a job, then your credentials are good'.

Which of the following rational numbers is equivalent to $\frac{9}{4}$?

In a triangle ABC, angle A is half of B and angle C is thrice of A. Find the value of angle A, B and C? [4 MARKS]

_____________data consists of information gathered for some specific purposes.

90 $\frac{km}{h}$ = ___ $\frac{m}{s}$

Match the following.

Two points on the circumference of the circle result in the formation of two arcs. The arc of longer length is called __ arc.

My friend has 3 less than 2 times the number of oranges I have. If I take the number of oranges with me as x, what will be the number of oranges with my friend?

I have 14 apples with me, out of which $\frac{2}{7}$ of them were spoilt. From the remaining good ones, I sold a few of them and was left with $\frac{1}{5}$ of the fresh apples. I gave half of the remaining apples to my friend. Find the total number of apples which are left with me.

The length and breadth of a rectangular flag is in the ratio 5 : 3. If length of the flag is 25 cm , find the area of the flag.

Question 132

In $\Delta DEF$, $\angle D={60}^{\circ },\angle E={70}^{\circ }$ and the bisectors of $\angle E$ and $\angle F$ meet at O. Find
i) $\angle F$
ii) $\angle EOF$

Divide the sum of $\frac{65}{12}$ and $\frac{8}{3}$ by their difference.

If a regular polygon has $n$ sides, then it will have ___ lines of symmetry

Juhi sold a washing machine for ₹ 13,500 at the loss of $20\%$. Find the cost price of the washing machine. At what price she must sell to gain 20$\%$?
[4 MARKS]

In a map given that 1 cm = 25 km. If the actual distance between two cities is 8050 km , then find the corresponding distance on the map

Question 42

State whether the statement given is True or False.

The expression x + y + 5x is a trinomial.

A(2, 6), B(6, 6) and C(6, 3) are the coordinates of a triangle. D, E and F are the images of the points of A, B and C respectively in the x axis. Find the coordinates of D,E and F.

Amisha has a square plot of side ${}^{\prime }{m}^{\prime }$ and another triangular plot with base and height each equal to ${}^{\prime }{m}^{\prime }.$ What is the total area of both plots?

Simplify:

$a^5÷a^3+3a\times 2a$

You have ₹2,400 in your account and the interest rate is 5%. After how many years would you earn ₹240 as interest.

Question 3

Which of the following is not allowed in a given equation?

(a) Adding the same number to both sides of the equation.

(b) Subtracting the same number from both sides of the equation.

(c) Multiplying both sides of the equation by the same non-zero number.

(d) Dividing both sides of the equation by the same number.

Question 8 :

Ramesh had 20 pencils, Sheelu had 50 pencils and jamaal had 80 pencils. After 4 months, Ramesh used up 10 pencils, Sheelu used up 25 pencils and jamaal used up 40 pencils. What fraction did each use up? Check is each has used up an equal fraction of her/his pencils?

ABCD is trapezium in which AB|| CD. If AD=BC, show that $\angle A=\angle Band\angle C=\angle D$.

40 bags of cotton cost Rs. 2200, but by exchanging 25 bags to the shopkeeper we get 30 grams of silver. Find the price of 150g of silver by exchanging the relevant number of cotton bags.

1. 5

Subtract the first integer from the second in each case I) -3,6

The value of $\sqrt{225}$ equal to

$7\times 6!-6\times 5!=$ _____________.

Hello sir or mam I didn't understand the concept of triangle and it's properties.my doubt is abcd is a quadrilateral.is ab+BC+CD+da>AC+bd?

Fill in the blank.

$$\begin{array}{ccccc}\text{Price}& 100& 75& 50& 25\\ \text{Number}& 60& 80& & 240\end{array}$$

With respect to the previous problem of construction of a ${30}^{\circ }$ angle, what angle would you get at the end of two arcs drawn in the following fashion:

With P as centre and any radius, draw an arc as shown, which cuts in A. This is the first arc. With A as centre and the same radius, cut this arc in B. This would be the second arc.

A jar contains black and white marbles. If the probability of selecting a black marble is 0.34, then what is the probability of selecting a white marble?

If A and B are disjoint sets, then the value of $n(A\cap B)$ = ____.

The area of each square in the given figure is 4 cm². The perimeter of the whole figure will be ___ cm

In a surprise test, Sharanya scored 10.75 marks and Kamal scored 4.50 marks. What is the number obtained when we divide Sushweta's marks by Shreya's marks.

Rina, while waiting for her friend Tina, started playing with matchsticks. As the wait time was more, Rina makes the figure “$262226$” using the matchsticks by the time Tina reaches. Tina accidentally steps on the pattern and all the matchsticks were spread all over.What was the number of matchsticks Rina wasted?

Question 134

The simple interest on a certain sum for 8 yr at 12% per annum is ₹ 3120 more than the simple interest on the same sum for 5 yr at 14 % per annum. Find the sum.

Question 94

Translate the given algebraic expression into words.

$17\left(\frac{16}{w}\right)$

Question 93

Two-third of a number is greater than one-third of the number by 3. Find the number.

The side of the bigger square is 30 cm and the side of the smaller square is 15 cm. What is the area of the orange colored part?