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Complete the following statements:

(a) Two line segments are congruent if __________.

(b) Among two congruent angles, one has a measure of 70°; the measure of the other angle is __________.

(c) When we write ∠A = ∠ B, we actually mean __________.

Find the value 37+(-21)-26+15-(-2)+(-9).

Simplify the following

1)11-[7-{5-3(9-(3-6))}]

2)16-[5-2+{7of2-(6÷3×2-1+3)}]

1. 15.5

Evaluate
${\left(\frac{5}{3}\right)}^{-2}\times {\left(\frac{5}{3}\right)}^{-14}$

What must be subtracted from $x^3-3x^2+5x-2$ to get $2x^3+x^2-4x+2$ ?

Find the mean for 5,10, 15, 20 and 0.

The maximum number of lines of symmetry possible in a polygon is equal to ___.

A rectangle with length and breadth equal to 19 m and 17 m respectively has to be converted to a square with equal area. What will be the side of the square? (Give answer till two decimal places).

Simplify: $\frac{1}{22}+\frac{8}{11}\times 1\frac{1}{2}$

1. 200

Bar diagram is a

(i) one-dimensional diagram

(ii) two-dimensional diagram

(iii) diagram with no dimension

(iv) none of the above

Question 44

In the following question, fill in the blanks with correct symbol >, < or =.

If p and q are positive integers, then $\frac{p}{q}$ is a ___ rational number and $\frac{p}{-q}$ is a ___ rational number.

Fill in the blanks

(1) +4 one the number line will be to ……… of zero.

(2) Total number of integers from −2 to +5 is …….

(3) ……. is the only number which has no positive or negative sign.

(4) {−1, −2, −3,……} are …….integers.

(5) …….is the next number greater than −5

In the figure, PQ || MN, the value of x will be

Question 27

Fill in the blanks to make the statement true.
................ is the solution of 3x + 10 = 7.

Scientists discovered a peculiar virus, which enters into a human body and gets doubled everyday. Find the number of viruses after $12$ days in a person's body who came in contact with this unknown virus.

If a fan has 3 blades, then its degree of rotation is _____.

Navin, Bhaskar and Pratigya made this bridge using boxes. If you look at the bridge from the top, how will it look?

Say whether the following are true or false:

If the sum of the lengths of the hypotenuse and one side of a right-angled triangle is given, the area of the triangle is maximum when the angle between these sides is

Find:

(i) 7.9 ÷
1000 (ii) 26.3 ÷
1000 (iii) 38.53 ÷ 1000

(iv) 128.9
÷ 1000 (v) 0.5 ÷
1000

Number of
children in six different classes are given below. Represent the data
on a bar graph.

(a) How
would you choose a scale?

(b) Answer
the following questions:

(i) Which
class has the maximum number of children? And the

minimum?

(ii) Find
the ratio of students of class sixth to the students of class

eight.

-100 - (-172) =