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1. 40

In the following figure, if AB ∥ CD and EH is a transversal, what will be the measure of $\angle AFG$?

Mahibur paid an interest of Rs. 750 for 2 years on a sum of Rs. 4500 on simple interest. If the rate of interest is $x\frac{1}{3}$% p.a, then '$x$' is ___.

Question 61

Fill in the blanks to make the statement true.

Two rectangles are congruent if they have same ___ and ___.

Which instrument would you use to draw a circle?

Represent $\frac{1}{2},\frac{5}{2},\frac{7}{2},\frac{9}{2}$ on the number line. [3 MARKS]

An isosceles trapezium has an area of 36 cm², the parallel sides are 12 cm and 6 cm respectively. The perimeter of the trapezium should be

The additive inverse of the rational number$-\frac{a}{b}$ is .

There are 216 workers in a factory out of which 75 are laborers. What would be the central angle of the sector representing laborers in a pie chart?

Question 113(i)
Find the number of cubes in each figure and give the top, front, left side and right side view (arrow indicating the front view).

Question 70 (iii)

Express the following rational number in its standard form:
$\frac{-15}{35}$

What is the square of 0.12?

Question 68 (ii)

If $A=3x^2-4x+1,B=5x^2+3x-8$ and $C=4x^2-7x+3$, then find

B + C - A

If in a $\Delta ABC,a=(1+\sqrt{3})cm,b=2cm$and $\angle C={60}^{\circ }$ find the other two angles and the third side.

Sakshi spends Rs 5000 per month on food. If she spends ${\frac{5}{8}}^{th}$ of her monthly income on food, what is her monthly income?​

$\text{Cost of}3\frac{2}{5}\text{metre of cloth is}rs88\frac{1}{2}.\text{What is the cost of 1 metre of cloth?}$

Simplify: $\frac{25\times 5^2\times t^8}{{10}^3\times t^4}$

From inside the Room I, Bill noticed a huge commercial space, “The Hall of Operations”, which contained four halls named Addition, Subtraction, Multiplication and Division. These halls were named according to the operation being carried out. Each of these halls had 2 entries and only 1 exit.

Bill observed that when any two occupants (numbers) entered the room through the entries, the operation specified by the hall happened on the numbers in the order they enter and from the exit, came the result.

Bill noticed occupants from Room I enter “The Hall of Operations” in pairs.

From which of the halls would the occupant coming out from the exit be from Room I? [Select ALL the relevant options]

Who is known as the father of Geometry?

Let $n(A-B)=25+x$, $n(B-A)=2x$ and $n(A\cap B)=2x$. If n(A) = 2(n(B)) then 'X' is

45-[38-{60/3-(6-9/3)+4}]

B starts after A has gone 1 kilometre and over takes A in 15 minutes walking at a rate of 8 kilometres an hour. Find A's speed.

Find the value of ‘m‘ if $(-2{)}^2\times (-5{)}^3=50m$

Question 79
State whether the statement is True or False.
While the rectangle is a 2 - D figure, the cuboid is a 3 - D figure.

Which of the following statements are true about the figure given below?

The average speed of an object over a given time duration is 6m/s. If it travels first half of the duration with a constant speed 4m/s ,it's speed during the next half duration is what?

A 116*3+2 meter long wire is cut into equal pieces measuring 8*3+1 meter each. How many such small pieces are there?

4 x 5 = 5 x 4, represents which law?

(a) In the given figure, prove that lines lm & nq are parallel to each other.

(b) What is the value of "x” if AB is parallel to CD in the figure?

[3 MARKS]

Which one of the following is correct?
The sum of
Statement a: A decimal and a whole number is always a whole number.

Statement b: Two decimals is always a whole number.

Statement c: Two whole numbers will always be a whole number.

9+(-9)

Which of the following is not equal to $y^6$?

Question 148 (i)

In the given figure, verify whether given pair of triangles is congruent by SAS congruence criterion (condition)? If congruent, write the congruence of the two triangles in symbolic form.

If Apple is coded as 4, orange is coded as 6 then code for guava is?

The data below shows the number of occurrences of all outcomes of a dice. Find the frequency of getting a number greater than 2 but less than or equal to 5.

$\begin{array}{ccccccc}\text{Number on dice}& 1& 2& 3& 4& 5& 6\\ \text{Frequency}& 10& 12& 6& 4& 8& 10\end{array}$

A wire attached to a vertical pole is 37 m long and it is pulled from the pole for a distance of 12 m so that the wire will be taut. Then find the height of the pole.

Pavan went to a market and bought 5 kg potato for Rs 20 per kg and 7 kg tomatoes for Rs 40 per kg. How much did he spend in total?

Question 87(vi)
The students of class VII have to choose one club from Music, Dance, Yoga, Dramatics, Fine arts and Electronics clubs. The data given below shows the choices made by girls and boys of the class study the table and answer the question that follows:

For Which club is the difference between boys and girls the maximum?

Tony requires 4 pieces of wood each of which are 68 cm long . If wood is sold in 2 metre or 3 metre lengths.

a) find the length of wood he must buy ?

b) how much will have leftover from that length?

In a class test containing 20 questions, 4 marks are given for every correct answer and -2 marks are given for every incorrect answer . Ranjit attempt all the questions and 12 of her answers are correct . What is her total score ?

We use centimetre square as a unit to measure the area of an eraser.Give reason why?

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

If $(a,a^2)$ falls inside the angle made by the lines $y=\frac{x}{2},x>0,$ and $y=3x,x>0,$ then a belongs to

Write an expression for 6less than the quotient X and 3 is equal to 2???

. In a quiz, positive marks are given for correct answers and negative marks are given for incorrect answers. If Jack’s scores in five successive rounds were 25, – 5, – 10, 15 and 10, what was his total at the end