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Which of the following is the assumption taken in the converse of Pythagorean theorem?

The common factor of 3ab and 2cd is:

A coin is tossed 400 times and outcomes are
Tail: 220
Head: 180.

(i) What is the probability of getting a tail?
(ii) What is the probability of getting a head? [2MARKS]

Equivalent ratio of 4:3 is :

$3\times 1000+2\times 10+\frac{4}{10}+\frac{3}{1000}$ is the expanded form of the number ____.

Question 46
Fill in the blank to make statement true.
Order of rotational symmetry of a rectangle is ___.

An angel is ${30}^{\circ }$more than one-half of its complement . Find the angle in degree.

Is the rule of rotational symmetry can be said correct for a triangle?

A can do a piece of a work in 7 days, A and B can do the work together in 6 days. If B alone does the work how many days does he require?

The condition for two sets A and B to be disjoint is________.

If the coordinates of two points A and B are (3,4) and (5,-2) respectively. Then, the coordinates of any point P, if PA = PB and area of $\Delta$ PAB = 10, are

(-12) ÷ (-3) = ...... .

The linear equation 5x - 5 = -10 is same as

Find the mean of first five multiples of 5. [2 MARKS]

There is a square plot of side $13m$. A farmer wants to grow grass on half of his field and plough the remaining land. Find the area of the land used for growing grass.

Question 20

$\frac{25\%of50\%of100\%}{25\times 50}$ is equal to
(a) 1.1 %
(b) 0.1 %
(c) 0.01 %
(d) 1 %

Find the perimeter of the equilateral triangle given below.

Which of the following can be classified as the smaller angle between the hour hand and minute hand at 8 o'clock?

If a = 2 and b = 3, find the value of $a^b$.

Find the value of $3^3\times 3^2$.

In the image, if you mark the points like this:

What is the length of BF?

A watch is sold for Rs 405 at a loss of 10%. Find the C.P. of the watch.

If the wages of 12 workers for 5 days are ₹ 7500. Find the wages of 17 workers for 6 days.

Question 114

Write a pair of integers whose product is -12 and there lies seven integers between them (excluding the given integers).

If $AB$ is divisible by $5$ but not divisible by $2$ and $BA$ is divisible $3$, then which of the following is the possible value of $A$ and $B$?

Which of the following is the side view of

Factorising $m^2+7m-60$ and dividing it by $(m-5)$ gives:

Two trains 140 m and 160 m long run in the opposite directions on parallel tracks at the speed of 60 km/hr and 40 km/hr respectively. Calculate the time they take to cross each other.

The number which should be added to twice the rational number $-\frac{7}{3}$ to get $\frac{3}{7}$ is

A ladder is placed against a wall such that its foot is at a distance of 2.5 m from the wall and its top reaches a window 6 m above the ground. Find the length of the ladder. [3 MARKS]

A rectangular piece whose dimensions are $3cm\times 2cm$ was cut from a rectangular sheet of paper of dimensions $6cm\times 5cm$. The area of the remaining sheet of paper is :

Evaluate:

\(a) (-2) \times (-3) \times (-4)\)
\(b) 2 \times (-3) \times (-4)\) [3 MARKS]

Question 54

Solve the following:

$\frac{0.2x+5}{3.5x-3}=\frac{2}{5}$

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

Present ages of Sita and Geeta are in the ratio 4 : 5. Eight years from now the ratio of their ages will be 5 : 6. Find their present ages. [4 MARKS]

Question 1 (iv)
Write $\frac{3}{13}$ in decimal form and say what kind of decimal expansion it has.

Which of the following are the factors of $x^2+14x+49$?

Which congruency criterion could be used only to check for congruency of two right-angled triangles?

Some children were asked to name their favourite flavour of ice cream. The result is shown in the pie chart given below.

Find the number of children who said mint was their favourite flavour if 12 had said that vanilla was their favourite flavour.

$\text{By what number should}\frac{-8}{13}\text{be multiplied to get 16 ?}$

Check whether the following sentence is a statement. Give reason for your answer.
'Mathematics is fun'

A sum of money amounts to $Rs.11910.16$ in $1.5$ years at $12\%$ per annum interest being compounded semi annually. Find the sum.

Convert $\frac{6}{12}$,$\frac{1}{4}$ and $\frac{6}{3}$ into like fractions