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Question 76

Simplfy:$\frac{2\frac{1}{2}+\frac{1}{5}}{2\frac{1}{2}÷\frac{1}{5}}$

Find all the angles of a right angled isosceles triangle. [3 MARKS]

Question 91

Solve the following:

After 12 years, Kanwar shall be 3 times as old as he was 4 years ago. Find his present age.

In a certain code, $HARD$ is written as $1357$ and $SHAFT$ is written as $21368.$ How is $DRAFT$ written in that code?

A polygon with 4 vertices will have ________ diagonals

The $\frac{3}{12}$ in its percentage form is ___%

If 45% of y is 45, then the value of y is

Question 19

State whether the given statements are true (T) or false (F).

3 : 33 = 33 : 333

Data collected by investigator is called the secondary data (true/false).

The length, breadth and height of a rectangular iron block are 8 centimetres, 5 centimetres and 2 centimetres. What is its volume?

The weight of 1 cubic centimeter of iron is 7.8 grams. What is the weight of the iron block?

Question 3 (c)

Express the following as cm using decimals:

164 mm

What is a line segment? How is it different from a line?
a. In fig how many points are marked? Name them.
b. In fig how many line segments are there? Name them.

[4 MARKS]

The perimeter of a regular hexagon whose side is 12 cm is __

There are 20 girls and 15 boys in a class.

What is the ratio of girls to that total number of students in the class?

Question 61.

If we denote the height of a place above sea level by a positive integer and depth below the sea level by a negative integer, then write the following using integers with the appropirate sign:

(a) 200 m above sea level (b)100 m above sea level

(c)10 m above sea level (d) Sea level

Question 6

By travelling at a speed of 48 km/h, a car can finish a certain journey in 10 hours. To cover the same distance in 8 hours, the speed of the car should be

(a) 60 km/h

(b) 80 km/h

(c) 30 km/h

(d) 40 km/h

Match the sums to their best estimates.

By how much is 230.56 more than 125.25?

What fraction of a day is passed in 6 hours?

In the figure given below, AB is parallel to CD. Find the measures of x and y.

To find sum of three numbers 14, 27 and 13, we can have two ways:

(a) We may first add 14 and 27 to get 41 and then add 13 to it to get
the total sum 54 or

(b) We may add 27 and 13 to get 40 and then add 14 to get the sum 54.
Thus, (14 + 27) + 13 = 14 + (27 + 13)

This can be done for any three numbers. This property is known as the
associativity of addition of numbers. Express this property
which we have already studied in the chapter on whole numbers, in a
general way, by using variables a, b and c.

Fill in the blanks with >, < or = sign:

(–21) – (–10) ____ (–31) + (–11)

Solve for $x$ : $45x-20-26x=37$

Which of the following angles cannot be constructed using set squares?

If $3\frac{p}{q}=\frac{11}{3}$, where $3\frac{p}{q}$ is a mixed fraction in which 3 is the whole number part and $\frac{p}{q}$ is the fractional part, then the value of $\frac{p}{q}$ is

The value of $\underset{\theta \to 0}{lim}\frac{1-\cos 4\theta }{1-\cos 6\theta }$ is

What tells us whether something is big or small?

The simplified value of the expresssion $\frac{2}{3}\times \frac{5}{9}\times \frac{18}{12}\times \frac{27}{125}$ is

If $N_a=\{an:n\in N\}$ , then $N_3\cap N_4$ =

If a square has a side length of $a$ units, then its perimeter is equal to:

There is a group of 8 students. The number of boys is less than the numbers of girls. How many girls can there be in this group?

A ladder has rungs 25 cm apart. (See figure). The rungs decrease uniformly in length from 45 cm at the bottom to 25 cm at the top. If the top and bottom rungs are m apart, what is the length of the wood required for the rungs?

[Hint: number of rungs]

Pick the odd one out from the given options on the basis of factor and multiples of $14$.