Quiz about Math Kangaroo 5/6 2016 (Sample questions)

Question 1

A centipede has 25 pairs of shoes. It needs 1 shoe for each of its 100 feet. How many more shoes does the centipede need to buy

Accepted Answer

50

Answer

15

Answer

20

Answer

35

Answer

75

Question 2

Ahmed starts counting at the number 19 and keeps counting until 89. If he takes one second to say each number how long does it take to count all the numbers?

Accepted Answer

1 min 11 s

Answer

1 min 10 s

Answer

1 min 29 s

Answer

1 min 19 s

Answer

1 min

Question 3

Mike cuts a pizza into quarters. Then he cuts every quarter into thirds. What part of the whole pizza is one of the pieces?

Accepted Answer

A twelfth

Answer

A third

Answer

A quarter

Answer

A seventh

Answer

An eighth

Question 4

Starting with 555 groups each containing 9 rocks we pile all these rocks together into one pile. We then divide this new pile into groups with 5 rocks each. How many new groups do we get?

Accepted Answer

999

Answer

111

Answer

45

Answer

555

Answer

900

Question 5

Cathy draws a square of area 100 cm2. She joins the midpoints of the sides to make a smaller square.

What is the area of the smaller square?

Accepted Answer

50 cm2

Answer

10 cm2

Answer

20 cm2

Answer

25 cm2

Answer

40 cm2

Question 6

Tom and John build rectangular boxes using the same number of identical cubes. How many levels will John's box have

Accepted Answer

4

Answer

2

Answer

3

Answer

5

Answer

6

Question 7

On the left side of the room, Bea and Pia are sleeping with their heads on their pillows facing each other.On the right side of the room, Mary and Karen are sleeping with their heads on their pillows with their

backs to each other. How many girls are sleeping with their right ear on their pillow?

Accepted Answer

2

Answer

0

Answer

1

Answer

3

Answer

4

Question 8

The piece of paper below is folded along the dotted lines to make an open box. The box is put on a table with the top open. Which letter is at the bottom of the box?

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Answer

E

Question 9

Mary, Ann, and Nata work in a kindergarten class. Each day from Monday to Friday exactly two of them come to work. Mary works 3 days per week and Ann works 4 days per week. How many days per week

does Nata work?

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Answer

5

Question 10

There are 30 students in a class. They sit in pairs so that each boy is sitting with a girl, and exactly half of the girls are sitting with a boy. How many boys are there in the class?

Accepted Answer

10

Answer

25

Answer

20

Answer

15

Answer

5

Question 11

The number 2581953764 is written on a strip of paper. John cuts the strip twice and gets three numbers. Then he adds these 3 numbers. What is the smallest possible sum he can get?

Accepted Answer

2975

Answer

2675

Answer

2978

Answer

4217

Answer

4298

Question 12

Bart is getting his haircut. When he looks in the mirror, the clock on the wall behind him looks like this:

What would he have seen if he had looked in the mirror ten minutes earlier?

Accepted Answer

Option E is correct

Answer

A.

Answer

B.

Answer

C.

Answer

D.

Question 13

Jennifer bought enough cat food for her four cats to last for 12 days. On her way home she brought back two stray cats. If she gives each cat the same amount of food every day, how many days will the cat food last?

Accepted Answer

8

Answer

7

Answer

6

Answer

5

Answer

4

Question 14

Tim, Tom and Jim are triplets (three brothers born on the same day), while their brother Carl is 3 years younger. Which of the following numbers could be the sum of the ages of the four brothers? (All ages are rounded to a whole year).

Accepted Answer

53

Answer

54

Answer

56

Answer

59

Answer

60

Question 15

The perimeter of the rectangle ABCD is 30 cm. Three other rectangles are placed so that their centres are at the points A, B, and D (see the figure). The sum of their perimeters is 20 cm. What is the total length of the thick line?

Accepted Answer

40 cm

Answer

50 cm

Answer

45 cm

Answer

35 cm

Answer

Impossible to determine

Question 16

Peter has 49 blue marbles and one red marble. How many marbles must Peter remove so that 90% of his marbles are blue?

Accepted Answer

40

Answer

4

Answer

10

Answer

29

Answer

39

Question 17

Richard is writing down all the numbers with the following properties: - the first digit is 1;

- each of the following digits is at least as big as the one before it; - the sum of the digits is 5.

How many numbers will he write?

Accepted Answer

5

Answer

4

Answer

6

Answer

7

Answer

8

Question 18

Luigi started a small restaurant. His friend Giacomo gave him several square tables and chairs. If he uses

all the tables as single tables with 4 chairs each, he would need 6 more chairs. If he uses all the tables as double tables with 6 chairs each, he would have 4 chairs left over. How many tables did Luigi get from Giacomo?

Accepted Answer

10

Answer

8

Answer

12

Answer

14

Answer

16

Question 19

Clara wants to construct a big triangle using identical small triangular tiles. She has already put some

tiles together as shown in the picture. What is the minimum number of additional tiles required to complete a triangle

Accepted Answer

9

Answer

5

Answer

12

Answer

15

Answer

18

Question 20

A big cube was built from 8 identical small cubes, some black ones and some white ones. Five faces of the big cube, seen from some viewpoint, are:

What does the sixth face of the big cube look like?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Answer

E.

Question 21

Accepted Answer

9

Answer

4

Answer

5

Answer

6

Answer

8

Question 22

A little Kangaroo is playing with his calculator allowing only operations on integers with an integer result. He starts with the number 12. He multiplies or divides the number by 2 or 3 (if possible) 60 times in a row. Which of the following results cannot be obtained?

Accepted Answer

36

Answer

12

Answer

18

Answer

72

Answer

108

Question 23

Two three-digit numbers have all their six digits distinct. The first digit of the second number is twice the last digit of the first number. What is the smallest possible sum of two such numbers?

Accepted Answer

537

Answer

552

Answer

546

Answer

301

Answer

535

Question 24

We want to insert the numbers 1, 2, 3, 4, 5, 6, 8, and 9 into the empty boxes below so that the sum of the numbers in each row, in each column, and in both the diagonals adds up to the same amount. What is the sum of the four numbers in the shaded boxes?

Accepted Answer

22

Answer

21

Answer

25

Answer

26

Answer

27

Question 25

Which of the weights are going upwards when the lower left wheel is turned clockwise as indicated?

Accepted Answer

1 and 3

Answer

1 and 2

Answer

3 and 4

Answer

2 and 4

Answer

1 and 4

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