Math Kangaroo- Grade 5-6 Revision Test

1) A train travels along a straight track from point A to point B. If the distance between A and B is 120 Kilometers and the train has already traveled 80 kms, how much more distance does the train need to cover point B?

• 10 km

• 20 km

• 30 km

• 50 km

• 40 km

Answer explanation

It should travel 40 km to reach the distance of 120 km.

2) The Mayas used points and lines to write numbers. A point stands for 1, a line for 5. Which of the following Maya-numbers stands for 17?

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Answer explanation

Three lines represents 3 x 5 = 15 and two dots represents 2 x 1 = 2, which sums up 17

3) A digital clock shows the given time: What time is it when it uses the exactly same digits again for the first time after that?

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Answer explanation

21:09 is the next time with same digits.

4) Pia has a folding yardstick consisting of 10 equally long pieces. Which of the following figures can she not make?

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5) Which of the shapes cannot be split into two triangles using a single straight line?

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Answer explanation

We cannot split the hexagon into two triangles

6) Anna has five discs of different sizes. She wants to use 4 of them to build a tower. She always has to place a smaller one on top of a bigger one. How many ways are there for Anna to build the tower?

• 4

• 5

• 9

• 12

• 20

Answer explanation

By removing one disk out at each time, we can made it in 5 different ways

7) The picture of a digital watch can be seen in a mirror: Which picture of the watch can be seen in the mirror 30 minutes later?

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Answer explanation

As the watch seen in mirror, it is inverted laterally, so the actual time is 21:51. After 30 minutes the time will be 22:21, which is relected in mirror as 15:55

8) The sums of the numbers in the white and in the grey fields should be equally big. Which two numbers have to be swapped so that the sums are equally big?

• 1 and 11

• 2 and 8

• 3 and 7

• 4 and 13

• 7 and 13

Answer explanation

Since the sum of all numbers become 60, we have to split them by its half in order to get the equally big. So swapping 1 and 11 will give the desired result.

9) A terrace is covered with square tiles of different sizes. The smallest tile has a perimeter of 80 cm. A snake lay down along the edges of the tiles (see diagram). How long is the snake?

• 380 cm

• 400 cm

• 420 cm

• 440 cm

• 1680 cm

Answer explanation

Perimeter of the tile is 80 cm, so each side measures 20 cm.
For calculating snake's length multiply 20 by 21 times. So 21 x 20 = 420 cm

10) Bridget folds a square piece of paper twice and subsequently cuts it along the two lines as shown in the picture. How many pieces of paper does she obtain this way?

• 6

• 8

• 9

• 12

• 16

Answer explanation

We can get 9 peices by folding paper and cutting as shown in picture.