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Identify the edge of the cuboid.

Is a vector necessarily changed if it is rotated through an angle?

Two dice are thrown at the same time. Find the probability that the sum of numbers appearing is a non-prime.

Aju: Integers are closed under addition.

Ted: If you add any two integers, the result will always be an integer.

Question 3

Find the breadth of a rectangular plot of land, if its area is 440 $m^2$ and the length is 22 m. Also, find its perimeter.

What is the perimeter of a rectangle having sides as 4 m and 6 m?

$△$ABC is constructed such that AB = 4 cm, BC = 4.5 cm and $\angle$A = 30${}^{\circ }$. Then the length of side AC is

To construct perpendicular bisector to a line segment AB =10 cm, we have to draw an arc of radius

Parallel lines make ___ angles with a transversal.

For any integer b, b ÷ (-1) is

Circumference of a semicircle is .

Divide $(x^2+3)(x^2-3)+9$ by $x^4$ [1 MARK]

A polygon is drawn inside a circle of radius 7 cm.

What is the area of the shaded region (in $c{m}^2)$ if the area of the polygon is 24p $c{m}^2$ ?

The shopkeeper gives a bill for ₹ 551. He says there is a discount of 10% on the bill amount. What is the approximate amount that I should pay?

Ram drew $\angle ABC$ and then he drew a line segment $BD$ such that line segment $BD$ is angle bisector of $\angle ABC$. Then, $\angle ABC$ $=$ ___ $\angle ABD$.

Area of a rectangle of length 10 cm and breadth 5.5 cm is

Which of the given 2 vectors are same?

For the above figure,
F + V - E = ___?
where,
F is the number of faces,
V is the number of vertices and
E is the number of edges.

The points (3, 3), (h, 0) and (0, k) are collinear if

A and B undertake a piece of work for ₹ 200. A alone can do it in 6 days and B in 8 days. With the help of C they can finish it in 3 days. The amount paid to C is _____.

Question 59

Fill in the blanks to make the statement true.

Two line segments are congruent if they are of _____ lengths.

Question 85

Express 80 % as a fraction in its lowest form.

Using laws of exponents, simplify and write the answer in exponential form:
$3^2\times 3^4\times 3^8$

In a test, +2 marks are given for each correct answer and ( - 1 ) for each wrong answer. A student has scored 21. If he has attempted total of 12 correct questions. How many questions has he attempted incorrectly ?
[4 MARKS]

which one of the following is true about the representation 2:3 :: 4: 6 ?

The length and breadth of a rectangular field are 20 m and 15 m. Find the total distance traveled by a boy who has completed two rounds along the boundary of the field.

A square of side '$x$' meters is bent in the form of a circle and later this circle is cut into two equal halves. One half is bent to form a square. Find the difference in the areas of the circle and the square bent from the half cut circle if $x$ = 2. [4 MARKS]

Question 55
Fill in the blank to make the statement true.
is a net of a ___. The circumference of circle = ___

Which of the following figures has/have both line symmetry and rotational symmetry?

The ages of two friends Ani and Biju differ by 3 years. Ani’s father Dharam is twice as old as Ani and Biju as twice as old as his sister Cathy. The ages of Cathy and Dharam differ by 30 years. Find the ages of Ani and Biju.

50 students in a class were given a test containing 5 questions. The number of students who answered different number of questions are given.

$$\begin{array}{cc}\text{Number of questions}& \text{Frequency}\\ 0& 3\\ 1& 6\\ 2& 8\\ 3& 15\\ 4& 16\\ 5& 2\end{array}$$

(i) Find the probability of picking a student who answered all five questions;

(ii) Find the probability of picking a student who answered not less than three;

(iii) Find the probability of picking a student who answered none of the questions. [3 MARKS]

Question 74

State whether the statement is True or False.

Sum of any two angles of a triangle is always greater than the third angle.

Find A in the addition, when B=1

$$\begin{array}{c}A\\ +A\\ +A\\ BA\end{array}$$

Question 1(e)
Give first the step you will use to separate the variable and then solve the equation:
Y - 4 = -7

From the sum of 7a – 2b + 11 and -2a -5, subtract 7a – b + 4.

The average marks of 10 students is 60. If the highest mark is excluded, the average is 59. Find the highest mark

Question 4(i)
Write the equation for the following statement:
The sum of numbers x and 4 is 9.

The price of a house is lowered by 50% to 10 lakhs. What was the original price of the house?

. Two angles are supplementary. Angle A is twice as large as angle B. What is the measure of each angle?

(256)^0.16×(256)^0.09

How will we divide 1 by any mixed fraction?

Latha contributed ₹ 60, Sita contributed ₹ 90 and Gita contributed ₹ 150 to buy a cake worth Rs. 300. Find the ratio of contribution of Latha, Sita and Gita.