The Kangaroo math contest has 24 multiple‐choice questions. You will have 60 minutes to answer them all.
They are divided into three parts of 8 quesEons each:
Part A (easy) - correct answer is worth 3 points
Part B (medium) ‐ correct answer is worth 4 points
Part C (hard) - correct answer is worth 5 points
Questions left blank are worth 0 points. Wrong answers carry a penalty of -1 point.
Calculators are not permitted
The Kangaroo math contest consists of 24 multiple-choice questions to be answered in 60 minutes.
That means you only have two and a half minutes for every question!
If you get stuck on a question, skip it, do the other ones and come back to it when you're sure you have time to try again.
Very few students finish the entire contest in the time allowed and answer every question correctly.
Do not be discouraged if you find you can't do some questions.
Remember, if you don't know the answer, don't guess! It's better to leave the answer blank than to risk losing 1 point if you guessed wrong.
1.
In one of the following pictures exactly three quarters of all objects are hearts. Which one is it?
2.
What is the sum of: 2001 + 2002 + 2003 + 2004 + 2005?
3.
At the picture below you can see a road from town A to town B (a solid line), and a detour of a renovated interval A’B’, marked as a dashed line. How many km further does one have to travel using the detour?
4.
Jerome was 4 years old when his sister was born. Today he celebrates his 9th birthday. What is the age difference between him and his sister?
5.
In the picture, AC= 10m, BD= 15m, AD= 22m. Find BC
6.
Part B: Each correct answer is worth 4 points.
Hedgehog Mark complained to his friends: “ If I had picked up twice as many apples as I really did, I would have 24 apples more than I have now. ” How many apples did Mark pick up?
7.
Gabriella brings to Joseph a basket with apples and oranges. Joseph has eaten a half of all apples and one third of all oranges. Which part of the fruits remained in the basket?
8.
How many yellow squares must you paint red so that the number of red squares is exactly half of the number of yellow squares?
9.
Chris constructed the brick on the picture using red and blue cubes of the same size. The outside of the brick is completely red, but all cubes used inside are blue. How many blue cubes did Chris use?
10.
BeZy likes calculaEng the sum of the digits that she sees on her digital clock (for instance, if the clock shows 21:17, then BeZy gets 11). What is the biggest sum she can get if the clock is a 24-hour clock?
11.
Part C : Each correct answer is worth 5 points.
The picture below shows 9 pencils and a weight of 30 g on a balance scale. The picture on the right shows one of the same pencils, a pen, and a weight of 15 g. Both scales are balanced. How many grams does the pen weight?
12.
In a class there are 29 children. 12 children have a sister and 18 children have a brother. Tina, Bert, and Anne have no brother and no sister. How many children in that class have both a brother and a sister?
13.
There are five houses on Colour Street : a blue, a red, a yellow, a pink, and a green one. The houses are numbered from 1 to 5 (see the picture).
Determine the color of house #3 using the following clues
• The numbers of the blue and yellow houses are even.
• The red house is next to the blue house only.
• The blue house is between the green and red houses.
14.
Four numbers are placed in the small squares in the table below:
If the sum of the numbers of the first row is 3, the sum of the numbers of the second row is 8 and the sum of the numbers of the first column is 4, what is the sum of the numbers in the second column?
15.
The first three figures of a pattern are constructed from triangles, as shown:
There is one triangle on the first figure, 4 triangles on the second figure, and 9 triangles on the third figure. If the paZern is extended with several more figures, how many triangles will be there on the fiQh figure?
