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Inside the cave, there are many rooms. To keep track of your path, you mark the coordinates on a table. Which of the following graphs show the coordinates given in the table?

Rewrite the following statements in the form: 'p if and only if q'.

p: If a quadrilateral is equaiangular, then it is a rectangle.

q: If a quadrilateral is a rectangle, then it is equiangular.

Question 59

In a pie chart, a whole circle is divided into sectors.

In the figure, ABCD is a parallelogram and AB = 6 cm. If the area of triangle ADE is $\frac{3}{4}$ that of parallelogram ABCD, find the length of BE in cm.

The ratio of the present ages of Sunil and his wife is 4:3 . After 4 years, the ratio of their ages will be 9:7. What is the present age of Sunil?

If $a-b=6$, then find the value of $a^3-b^3-18ab$

In a combined test in Maths and Chemistry; 84% candidates passed in Maths; 76% in Chemistry and 8% failed in both. Find : (i) the percentage of failed candidates. (ii) if 340 candidates passed in the test; then how many appeared ?

Solve for x : $\sqrt{x-5}$ > $\sqrt{7-x}$

Solve the following equations and verify your answer :

$\frac{y-(7-8y)}{9y-(3+4y)}=\frac{2}{3}$

Question 7

In the given figure, if point A is shifted to point B along the ray PX such that PB=2PA, then the measure of $\angle BPY$ is

a) greater than ${45}^{\circ }$

b) ${45}^{\circ }$

c) less than ${45}^{\circ }$

d) ${90}^{\circ }$

What is the value of $\sqrt[3]{3-8}-\sqrt[3]{3-216}$ ?

John took thirty different quizzes with ten questions each.

The number of questions answered correctly each time was as follows:



4, 2, 6, 8, 3, 5, 5, 3, 6, 6, 7, 4, 3, 10, 5, 4, 9, 7, 6, 3, 8, 8, 4, 4, 5, 3, 6, 4, 7, 9

Construct the frequency distribution table using tally marks to find out how many quizzes he scored 8 or more?

If $\frac{4^{\left(x^2\right)}}{{16}^x}=1$. Find the value of $x$ where $x\ne 0$.

In parallelogram ABCD, which of the two angles are equal?

Question 146(ii)

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

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

Which items have a recycled amount less than $\frac{1}{2}$?

If we subtract $\frac{1}{2}$ from a number and multiply the result by $\frac{1}{2}$, we get $\frac{3}{8}$. What is the number?

Write the missing numbers.

Abhishek has three containers:

a)Cylindrical container A having radius r and height 2r
b)Cubical container B having its edge $\frac{3}{4}r$
c)Cuboidal container C having dimensions $r\times \frac{5}{4}r\times \frac{7}{3}r$

The arrangement of the containers in the increasing order of their volumes is

Which of the following is a surd?

Two prizes are to be distributed in a quiz contest. The value of the second prize is $\frac{5}{6}$ of the value of the first prize. If the first prize is Rs. 3000, the second prize is Rs.___ .

One card is drawn from a pack of 52 cards. Then, the probability of getting a red coloured king is ___.

Which of the following numbers is not divisible by 5?

P = set of multiples of 3

Q = set of multiples of 5

P and Q are:

Use the identity to compute:

(i) (x − 6)²; (ii) (3x − 5y)²; (iii) (5a − 4b)²; (iv) (p² − q²) ².

Class 8 students did a survey on birthdays. This chart shows the number of people with birthdays in each three months of the year. A) From the chart, how many people have a birthday before July? B) How many people have a birthday in December if nobody has a birthday in October and six people have a birthday in November. [3 MARKS]

Construct a triangle ABC, whose perimeter is 12.5 cm and whose base angles are 50° and 80°.

The below circle graph shows the breed of $60$ cats in a shelter home.

There are British Shorthair cats in the shelter home.

Diagonals of parallelogram ABCD intersect at O as shown in the figure. XY contains O, and X, Y are points on opposite sides of the parallelogram. Give reasons for each of the following :

(i) OB = OD
(ii) $\angle OBY=\angle ODX$
(iii) $\angle BOY=\angle DOX$
(iv) $\Delta BOY\cong \Delta DOX$
Now, state if XY is bisected at O.

In the given figure, ABCD is a quadrilateral and AO and DO are bisectors of $\angle Aand\angle D$. The value of 'x ' is