Math Kangaroo- Grade 3-4 Revision Test

1) As seen in the diagram, 3 darts are flying towards 9 fixed

balloons. If a balloon is hit by a dart, it bursts and the dart

continues in the same direction it had beforehand.

How many balloons are hit by the darts?

• 2

• 3

• 4

• 5

• 6

Answer explanation

As we see, 1st, 2nd and 3rd dats hits 2, 1, 2 balloons respectively. Totally 6 balloons hit by darts.

2) Diana shoots 3 darts, three times at a target board with two fields.

The first time she scores 12 points, the second time 15.

The number of points depends on which field she has hit.

How many points does she score the third time?

• 18

• 19

• 20

• 21

• 22

Answer explanation

As we see, outer circle will provide 4 points per dart. Also, inner circle will provide 7 points per dart.
The 3rd board contains 3 darts in inner circle. So, 3 x 7 = 21 points.

3) A part of a rectangle is hidden by a curtain. The hidden part is a

• triangle

• square

• hexagon

• circle

• rectangle

Answer explanation

The hidden part ia s triangle.

A pyramid is built from cubes (see diagram).

All cubes have side length 10 cm.

An ant crawls along the line drawn across the pyramid (see

diagram).

How long is the path taken by the ant?

• 30 cm

• 60 cm

• 70 cm

• 80 cm

• 90 cm

Answer explanation

As the ant crosses 3 cubes of 10 cm each, it travels 30 cm

5) A square painting has a side length of 8 feet. Find the area and perimeter of the painting.

• 60, 32

• 77.3, 32

• 75, 29

• 60, 45

• 64, 32

Answer explanation

Area of square = s x s = 8 * 8 = 64

Perimeter of a square = 4 x s = 4 * 8 = 32

Clown Pipo looks like the figure shown. He looks at himself in the mirror. Which picture does he

see?

• 
• 
• 
• 
• 

Answer explanation

The mirror image will be laterally inverted.

The two colors of this picture are swapped. Then the picture is turned. Which of the pictures below is obtained?

• 
• 
• 
• 
• 

Answer explanation

Last option will be the answer.

8) Each of the four balls weighs either 10 or 20 or 30 or 40 grams.

Which ball weighs 30 grams?

• A

• B

• C

• D

• It can be A or B

Answer explanation

The given condition satisfies if and only if A = 40, B = 20, C = 30 and D = 10

Set A = (1,3,5,7, -------- 297,299) - 150 oddd numbers. How many ways are there to choose exactly 18 numbers from set A such that their sum is 171?

• 50

• 40

• 30

• 20

• 0

Answer explanation

0 number of ways is the answer because the sum of 18 odd numbers can never be odd.

10) In a magic garden ther are magic trees. On each tree there are either 6 pears and 3 apples or 8 pears and 4 apples. In total there are 25 apples on the magic trees. How many pears in total are hanging on the magic trees altogether?

• 35

• 40

• 45

• 50

• 56

Answer explanation

For getting 25 apples, 7 x 3 apples and 1 x 4 apples. On the other hand, 7 x 6 pears and 1 x 8 pears. So totally 42 + 8 = 50 pears.