Task No. 1.1

# Condition: 

The figure shows 4 circles.

![](https://cdn.mathpix.com/cropped/2024_05_06_6ccfaa665554dc7f3a02g-01.jpg?height=508&width=531&top_left_y=700&top_left_x=817)

Find the sum of the numbers that are in exactly two circles.

#
# Answer: 22

## Exact match of the answer -1 point

## Solution.

The gray areas on the diagram represent the regions that are included in exactly two circles. The number 10 is in the orange and blue circles, the number 2 is in the blue and brown circles, the number 1 is in the green and brown circles, and the number 9 is in the blue and green circles. $1+2+9+10=22$.

![](https://cdn.mathpix.com/cropped/2024_05_06_6ccfaa665554dc7f3a02g-01.jpg?height=488&width=494&top_left_y=1875&top_left_x=838)

## Condition:

In the diagram, there are 4 circles.

![](https://cdn.mathpix.com/cropped/2024_05_06_6ccfaa665554dc7f3a02g-02.jpg?height=548&width=563&top_left_y=483&top_left_x=792)

Find the sum of the numbers that are included in exactly two circles.

Answer: 25

Exact match of the answer -1 point

Solution by analogy with problem №1.1.

## Condition:

In the diagram, there are 4 circles.

![](https://cdn.mathpix.com/cropped/2024_05_06_6ccfaa665554dc7f3a02g-03.jpg?height=540&width=551&top_left_y=484&top_left_x=798)

Find the sum of the numbers that are included in exactly two circles.

Answer: 24

Exact match of the answer -1 point

Solution by analogy with problem №1.1.

## Condition:

In the diagram, there are 4 circles.

![](https://cdn.mathpix.com/cropped/2024_05_06_6ccfaa665554dc7f3a02g-04.jpg?height=528&width=537&top_left_y=473&top_left_x=811)

Find the sum of the numbers that are included in exactly two circles.

Answer: 28

Exact match of the answer -1 point

Solution by analogy with problem №1.1.

## Condition:

The father giraffe has four times as many spots as the son giraffe, and the son has 20 fewer spots than the mother giraffe. The mother giraffe has 2 more spots than the father giraffe.

How many spots do the three giraffes have in total?

Answer: 56

Exact match of the answer -1 point

![](https://cdn.mathpix.com/cropped/2024_05_06_6ccfaa665554dc7f3a02g-05.jpg?height=488&width=505&top_left_y=424&top_left_x=1438)

## Solution.

The son has 20 fewer spots than the mother giraffe, and the mother giraffe has 2 more spots than the father giraffe, so the son has 18 fewer spots than the father. At the same time, the son has four times fewer spots than the father, so the difference is three times the number of spots the son has. Therefore, $18: 3=6$ spots for the son, $18+6=24$ spots for the father, and $24+2=26$ spots for the mother. In total, $6+24+26=56$.

## Condition:

The father giraffe has four times as many spots as the son giraffe, and the son has 28 fewer spots than the mother giraffe. The mother giraffe has 4 more spots than the father giraffe.

How many spots do the three giraffes have in total?

Answer: 76

Exact match of the answer -1 point

![](https://cdn.mathpix.com/cropped/2024_05_06_6ccfaa665554dc7f3a02g-06.jpg?height=483&width=514&top_left_y=347&top_left_x=1519)

Solution by analogy with problem №2.1.

## Condition:

The father giraffe has five times as many spots as the son giraffe, and the son has 27 fewer spots than the mother giraffe. The mother giraffe has 3 more spots than the father giraffe.

How many spots do the three giraffes have in total?

Answer: 69

Exact match of the answer -1 point

![](https://cdn.mathpix.com/cropped/2024_05_06_6ccfaa665554dc7f3a02g-07.jpg?height=479&width=494&top_left_y=366&top_left_x=1521)

Solution by analogy with problem №2.1.

## Condition:

The father giraffe has five times as many spots as the son giraffe, and the son has 24 fewer spots than the mother giraffe. The mother giraffe has 4 more spots than the father giraffe.

How many spots do the three giraffes have in total?

Answer: 59

Exact match of the answer -1 point

![](https://cdn.mathpix.com/cropped/2024_05_06_6ccfaa665554dc7f3a02g-08.jpg?height=494&width=511&top_left_y=433&top_left_x=1441)

Solution by analogy with problem №2.1.

#