# What is your name, Champion?

## Just your first name is fine, or a nickname.

# Okay Bharath Chakravarthy, let's see how many of these interesting questions you already know the answers to.

## If the length of each side of the regular hexagon is 9 cm, what is the radius of the circle (in cm)?

## What fraction of the regular hexagon is coloured?

## A circle is inscribed within a large square. If the circle circumscribes another square, what is the ratio of the area of smaller square to the larger square?

## In the figure given below, you have a square with perimeter ‘a’. If you cut the figure along the dotted lines, what will the perimeter of the shape formed?

## In a 10 question quiz program, every correct answer gets you 2 marks and one mark is deducted for every wrong answer. If Preeti scored 17 marks, and attempted all the questions, how many questions did she get right?

## Fill in the blank.

## As shown in the figure, the block floats with half of it inside the water. If the block is now immersed in oil, the block will have ____.

## If Earth suddenly disappears, the moon will _______.

## Pooja's Assessment

### How did Pooja Perform?

### Speed

- Fairly Slow
- Fast
- Speedy
- Swift

### Accuracy

- Rookie
- Seasoned
- Advanced
- Expert

### You answered 7/10 questions correctly

Keep up the hard work! You're getting there-dont't give up now. Start learning with us!

- Number Master
- Spatial Magic
- Memory Master

### Pooja's performance across sections

### Where does Pooja stand?

### Assessment Summary

### Scholarship

### Congratulations!

### Skill: Number Sense

### Question 10:

### Explanation:

The central angle 360° is divided into 6 equal parts as shown, each part equal to 60°.

Also, ∠OAB = ∠OBA ( Since OA = OB radius of circle)

So, ∠OAB = ∠OBA = (180° - 60°)/2 = 60°

i.e. ⃤ AOB is an equilateral triangle.

So, OA = OB = AB = 9 cm.

So, radius of the circle = 9cm.

All the cuts add the same length to the boundary as much as they remove.

So, perimeter remains unchanged.

Marks missed out = 20 - 17 = 3

For every incorrect attempt, marks missed out = 2 (Question marks) + 1
(negative marking) = 3

Or, number of incorrect attempts = 1

So, number of correct attempts = 9.

As oil is less dense than water, the block will have more than half portion immersed.

The moon is held in its orbit because of the gravitational pull of the Earth.

When the gravitational pull disappears, there is no force to hold it in orbit. So it moves in the direction of its velocity, which is tangential to the orbit it was following earlier.