Prepare for Math Kangaroo Competition with Cheenta

What is Math Kangaroo?

Math Kangaroo is an international math competition that originated in France and has since spread to more than 80 countries around the world. The competition is designed to promote the joy of mathematics, enhance problem-solving skills, and foster a love for the subject. Math Kangaroo is open to students from grades 3 to 7, and it offers a wide range of intriguing math problems that vary in difficulty to cater to all skill levels.

Why Participate in Math Kangaroo?
Cheenta's Math Kangaroo Mock Test

To help you prepare for the upcoming Math Kangaroo competition, Cheenta is excited to offer a Mock Test that will provide you with a taste of the real Math Kangaroo experience. Our Mock Test will feature challenging math problems carefully crafted to sharpen your skills and boost your confidence.

Are you ready to put your math skills to the test and experience the thrill of solving captivating math problems? If yes, fill this form and we will contact you. This is your chance to challenge your mathematical prowess and get a taste of what the Math Kangaroo competition is all about.

Math Kangaroo Cheenta

How to take mock tests using Cheenta Software?

Math Kangaroo 2021 Problem 17 | Kadett

Try this beautiful Problem based on simple Arithmetic appeared in Math Kangaroo (Kadett) 2021 Problem 17.

Math Kangaroo 2021 Problem 17 | Kadett


There are 20 questions in a quiz. Each correct answer scores 7 points, each wrong answer scores $-4$ points, and each question left blank scores 0 points. Eric took the quiz and scored 100 points. How many questions did he leave blank?

Key Concepts


Arithmetic

Divisibility

Logic Question

Suggested Book | Source | Answer


Algebra by Gelfand

Math Kangaroo (Kadett), 2021

$1$

Try with Hints


Here given that,

Total number of questions $=20$
Score of correct answer $=7$ points
Score of wrong answer $=-4$
Eric scored $=100$ points

So that mean, the score for all of the correct answers is greater than $100$.

Now we know $7\times 16 = 112$.

Now we have to count how many wrong answers are there if the score is $100$.

Remaining question $=20-(16+3)$
So, $1$ is the correct answer.

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Math Kangaroo 2021 Problem 21 | Ecolier

Try this beautiful Problem based on simple Divisibility Rules appeared in Math Kangaroo (Ecolier) 2021 Problem 21.

Math Kangaroo 2021 Problem No 21 | Ecolier


A box has fewer than 50 cookies in. The cookies can be divided evenly between 2,3 , or 4 children. However, they cannot be divided evenly between 7 children because 6 more cookies would be needed. How many cookies are there in the box?

Key Concepts


Arithmetic

Divisibility

Algebra

Suggested Book | Source | Answer


Algebra by Gelfand

Math Kangaroo (Ecolier), 2021

$36$

Try with Hints


Here

The box contain less than 50 cookies.

Cookies are distributed among 2, 3 or 4 children.

So, all of the options are correct.

Now apply the second condition in the question.

They cannot be divided evenly between 7 children because 6 more cookies would be needed.

Apply the condition and check which option is satisfying the condition.


So, $36$ is the correct answer.

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Math Kangaroo (Benjamin) 2014 Problem No 24

Try this beautiful Problem based on simple Algebra appeared in Math Kangaroo (Benjamin) 2014 Problem 24.

Math Kangaroo (Benjamin) 2014 | Problem No 24


Grandma gives 180 marbles to her ten grandchildren. No two children get the same amount of marbles. Anna gets the most. What is the minimum number of marbles that Anna could get?

Key Concepts


Arithmetic

Equation solving

Algebra

Suggested Book | Source | Answer


Algebra by Gelfand

Math Kangaroo (Benjamin), 2014

$23$

Try with Hints


Here

Number of children is $10$.
Number of marbles is $180$.
And Anna gets the most and no 2 children gets the same number of marbles.

Let us assume that Anna could get $x$ marbles and also the other 9 children receiving 1 less each step. Apply the condition to construct the equation

The equation will be-

$x$+$x$-$1$+$x$-$2$+$x$-$3$+$x$-$4$+$x$-$5$+$x$-$6$+$x$-$7$+$x$-$8$+$x$-$9$=$180$

Now solve for $x$.


So, Anna can have $23$ marbles.

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Math Kangaroo Benjamin 2014 Problem 11 | Arithmetic

Try this beautiful Problem based on Simple Arithmetic from Math Kangraoo Benjamin 2014 Problem 11.

Arithmetic | Math Kangaroo Benjamin 2014 Problem 11


In a holiday camp 7 children eat ice cream every day, 9 eat ice cream every other day. The remaining children don't eat ice cream at all. Yesterday 13 children ate ice cream. How many children will eat ice cream today?

Key Concepts


Substraction

Arithmetic

Suggested Book | Source | Answer


Mathematics Can Be Fun by Perelman

Math Kangraoo Benjamin 2014 Problem number 11

10

Try with Hints


Find the number of the ones who eat on alternative days.

Now find for today how many participants are there.

So this value should be $9-6=3$.

So, find the number of students eating today .

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Math Kangaroo (Benjamin) 2021 Problem No 22

Try this beautiful Problem based on simple Arithmetic appeared in Math Kangaroo (Benjamin) - 2021.

Math Kangaroo (Benjamin) 2021 | Problem No 22


Maurice asked the canteen chef for the recipe for his pancakes. Maurice has 6 eggs, $400 \mathrm{~g}$ flour, 0,5 liters of milk and $200 \mathrm{~g}$ butter. What is the largest number of pancakes he can make using this recipe?

Key Concepts


Arithmetic

Division

Multiplication

Suggested Book | Source | Answer


Algebra by Gelfand

Arithmetic | Math Kangaroo (Benjamin), 2021

$8$

Try with Hints


For $100$ pancakes we need -

$25$ eggs
$4$ Litres milk
$5 kg$ flour
$1 kg$ butter.

Now calculate for one pancake how much ingredient is needed?


For one pancake we need,

$0.25$ egg

$0.04$ Litres milk

$0.05 kg$ flour

$0.01 kg$ butter.

Calculate how many pancakes can be made with each ingredients available.


With $6$ eggs we can have $24$ pancakes.

With $400 g$ flour we can have $8$ pancakes.

With $0.5 $ Litres milk we can have $12.5$ pancakes.

With $200 g$ butter we can have $20$ pancakes.

Compare the number of pancakes for each ingredient to make the pancake complete.


So, we can have $8$ pancakes complete.

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Math Kangaroo (Benjamin) 2020 Problem 26 | Divisibility Rule

Try this beautiful Problem based on Divisibility Rule from Math Kangaroo (Benjamin) 2020.

Math Kangaroo (Benjamin), 2020 | Problem No 26


We say that a three-digit number is balanced if the middle digit is the arithmetic mean of the other two digits. How many balanced numbers are divisible by 18 ?

Key Concepts


Arithmetic

Divisibility Rule

Arithmetic Mean

Suggested Book | Source | Answer


Algebra by Gelfand

Math Kangaroo (Benjamin), 2020

6

Try with Hints


Let the number be $abc.$

By the given condition of arithmetic mean we get,

$$\frac{a+c}{2}=b$$.

Now from here can I conclude $a, c$ are of the same parity?

Given that the number is divisible by $18$

$\Rightarrow$ Given number must be divisible by both $2$ and $9$.

Apply divisibility rule of $9$ to guess the values of $a, b, c$.

Here the values of $3b$ are $9, 18, 27$.

$\Rightarrow$ the values of $2b$ are $6, 12, 18$.

Now guess the values of $a+c$?

And then find the possible pair of $(a, c)$?

The possible values of $(a, c)$ are $(2,4)$, $(4,2)$, $(6,0)$, $(4,8)$, $(6,6)$, $(8,4)$.

So, how many possible numbers are there?

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