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The measure of an angle is twice the measure of its supplementary angle. Find its measure.

Question 106(iii)

The food table is given below information about 2 types of soup cream of tomato and sweet corn. Use these lables to answer the given questions. (all the serving are based on a 2000 calories diet.)
Find the increase per cent of sugar consumed, if cream of tomato soup is chosen over sweet corn soup.

Question 2(a)

Change the following statements using expressions into statements in ordinary language.(For example, given Salim scores r run in a cricket match, Nalin scores (r + 15) runs. In ordinary language – Nalin scores 15 runs more than Salim.)

A notebook costs ₹ p. A book costs ₹ 3p.

2 + (-9) + 11 + (-20) = ?

A square is of side 8 m is cut into two equal rectangles along its length. The rectangle is bent in the shape of a circle. Find the radius of the circle. [3 MARKS]

Which of the following cannot be a factor of any positive number?

The lines represented by the equation $9x^2+24xy+16y^2+21x+28y+6=0$ are

What is the area of the shaded region in the figure, given that the side of square ABCD is 8 m and the side of square PQRS is 10 m?

In the given polyhedron find how many faces meets at point A and point B. [2 MARKS]

(-4) $\times$ 8 + (-11) = ?

If the length of the side of a square is 'a' then what is the length of its diagonal?

Which of the following number line represents the solution of inequation:
$-x>1,\text{where}x\text{is an integer}$?

Following graph shows the comparison between Average marks obtained by students of class A and class B in 9 subjects.

Which Subject has the closest margin of average marks when both classes are compared?
Here the horizontal axis is x axis which represents 2classes and vertical axis is y axis which represents marks. The scale is x-axis 1cm = 2classes and y axis 1cm = 10 marks.

15 - 21 = ____

A bag contains 8 red, 2 black and 7 white balls. One ball is drawn at random. The probability that the ball drawn is not white is

A and B can complete a work together in 24 days. If for the last 6 days, A alone does the work, then the work is completed in 26 days. Find the number of days B will take to complete the work alone?

$25$ raised to the power $\frac{4}{5}$ raised to the power of $3$.

The $n^{th}$ term of the pattern 1, 4, 9, 16, 25...... is _____.

Question 2(a)
Verify that $a÷(b+c)\ne (a÷b)+(a÷c)$ for each of the following values of a, b and c.
a = 12, b = - 4, c = 2

AB and CD are parallel. Then $\angle$AFE is equal to _______ degrees.

At mid-night night, the temperature was 0^oC. Two hours later it was 5^oC colder. This means the temperature was

In $\Delta ABC$, if $\angle$A = ${45}^{\circ }$ and $\angle$B = ${70}^{\circ }$, then the shortest and the longest sides of the triangle, respectively, are?

Shambhavi has 9 pieces of cake and she has to distribute these pieces equally among 4 girls.What will be the share of each girl rounding off to the nearest tenths?

A die was rolled 60 times and the result is as follows.

Find the probability of getting
(i)1
(ii) 5
(iii) an even number.

$$\begin{array}{ccccccc}Number& 1& 2& 3& 4& 5& 6\\ Frequency& 12& 14& 9& 15& 6& 4\end{array}$$ [3 MARKS]

Ted is a very studious guy. And guess what, he loves experiments.One of the fields of Mathematics that particularly interests him is Geometry. But the problem is that he doesn't know the ABC of Geometry. Since you have already understood Geometry, you could help Ted. So today, you aren't a student. You are a teacher! To start with, pick an option which gives the meaning of the word Geometry.

Which of the following is not true?
(i) Whole numbers are closed under subtraction.
(ii) Integers are not closed under division.
(iii) Rational numbers are closed under division.

If $5$ is added to three times the product of numbers $m$ and $n.$

Express the above statement as an algebraic expression.

(a) There are two sets of parallel lines passing through a plane. A transversal cuts the two sets of lines. Find the number of distinct points of intersection.

(b) The following diagram shows parallel lines cut by a transversal. Find x. [3 MARKS]

Find the area of a triangle whose vertices are A (3, 2), B (11, 8) and C(8, 12). [3 MARKS]

1. 15

Find the time taken by a train 150m in length running at a speed of 90km/hr to pass a pole

Line l and m are parallel to each other. A transversal intersects them at points A and B.

i) An arc of suitable measure is taken from B cutting ‘l’ at D and transversal at M (as shown in the figure).

ii) Now, with the same radius and A as centre an arc FG is drawn (as shown in the figure).

What is the relation between $\angle$FAG and $\angle$MBD?

If a transversal cuts two parallel lines, then which of the following statements is correct?

In figure,ray OC stands on the line AB; ray OL and ray OM are angle bisector of $\angle AOC$ and $\angle BOC$, respectively.Prove that $\angle LOM$ = 90${}^{\circ }$ [3 MARKS]

A car has a tyre of diameter 28 cm. ___ m is covered by the car if the tyre rotates 150 times. (Use $\pi$ = 22/7)

x is defined as 40% of 40.

If y=$x^2+5x+8$ , find the value of y.

Is 4x+7 an equation? [1 MARK]

Find $x$:
$\frac{2}{5}+x=\frac{3}{5}$

Consider the following information and answer the questions that follow

There is a solid cuboid with dimensions 16 cm×16 cm×12 cm, which is painted with red colour on all its six faces. It is then cut into identical cubes of maximum possible size such that no part of cuboid is wasted.

Q64. How many cubes will have two or more than two faces painted?

नीचे दी गई जानकारी पर विचार कीजिए और इसके आगे आने वाले प्रश्न का उत्तर दीजिए।

16 से.मी. × 16 से.मी. × 12 से.मी. के आयामों वाला एक ठेस घनाभ है, जिसकी सभी छह फलकों को लाल रंग से रंगा गया है। अब इसे अधिकतम संभव आकार के समान घनों में इस तरह काटा जाता है कि घनाभ का कोई भी भाग व्यर्थ नहीं जाता है।

Q64. कितने घनों की दो या दो से अधिक फलकें रंगी हुई हैं?

(a) A piece of wire $\frac{7}{8}$ metre long broke into two pieces. One piece was $\frac{1}{4}$ metre long. How long is the other piece? [3 MARKS]

(b) Sarita bought $\frac{2}{5}$ meters of ribbon and Lalita $\frac{3}{4}$ metre of ribbon. What is the total length of the ribbon they bought?

(c) Simplify: $8\frac{1}{4}-2\frac{5}{6}$

What should be the value of $b$, if the value of
$(29x^2+7x-10+6b)$ is $18$, when $x=2?$