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FTTS MATH CHALLENGE 2013 Grades 5 & 6

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INSTRUCTIONS

1. Do not open the booklet until you are instructed to do so.

2. The duration of the test is 75 minutes.

3. The test is composed of 30 multiple choice items. Use the information pro-

vided in each item to choose the best answer from the four possible options.

4. On the answer sheet, write your name, school, and other information cor-

rectly. Use only a mongol no. 2 pencil. Do not use a pen.

5. Completely shade the circle that corresponds to your answer on the answer

sheet.

6. Mark only one circle for each question on the answer sheet. If more than one

circle is shaded, it will automatically be considered an incorrect answer.

7. To change an answer, erase any error completely on the answer sheet and

mark your new answer.

8. Talking, cheating, and assisting others during the test are strictly prohibited.

These are grounds for disqualification. Leaving the room while the test is

going on is also prohibited.

10. Submit the answer sheet to the proctor assigned at the end of the test.

Grades 5 & 6

2

11

FTTS MATH CHALLENGE 2013 Grades 5 & 6

19 17

20 18

10

Given the scale below, to balance

the weight of B, how many weight of C

is needed?

A. 2

B. 3

C. 4

D. 5

A mini bus which has a hole in its

petrol tank is travelling with 350 kilo-

meters road trip in 5 hours. Mr. Driver

filled up the tank with 50 liters of the

60 liters capacity, but 1 milliliter of pet-

rol is poured from the tank in every 4

seconds. When he arrived in his desti-

nation, he checked that 1/4 of his tank

is full. How many liters of petrol did

the mini bus use?

A. 15.00 liters

B. 30.50 liters

C. 35.50 liters

D. 45.00 liters

30 29

16

S T O P

Check Your Work

3

FTTS MATH CHALLENGE 2013 Grades 5 & 6

Calculate: 201320132013 ÷ 2013=?

A. 111000000

B. 100100001

C. 100001001

D. 100010001

What is 30% of the number if 20%

of the same number is 12?

A. 15

B. 18

C. 20

D. 24

3 1

What fraction of the rectangle is

shaded?

A. 1/2

B. 1/4

C. 1/3

D. 3/4

How many 3 - digit numbers are

there if the sum of their digits is equal

to 25?

A. 2

B. 4

C. 5

D. 6

4 2

¯

¯

// //

// //

4

Ali ran 3/4 km in the FTTS 2013

Marathon race. Khalid ran 2/9 of the

distance that Ali had run. What was the

distance that Khalid ran?

A. 1/6 km

B. 1/5 km

C. 1/12 km

D. 5/13 km

There are 2013 small marbles with

different colors in a box. The mass of

each marble is x grams. The box is

2013 grams heavier than each marble.

What is the total mass of the box and

two small marbles?

A. 3x grams

B. 2013x grams

C. (3x+2013) grams

D. 2(x+2013) grams

7 5

All the triangles below are equilat-

eral. If the perimeter of the shaded tri-

angle is 21 cm, what is the perimeter of

triangle PRS?

A. 7 m

B. 7 cm

C. 84 m

D. 84 cm

This figure is made up of a semi-

circle and two identical quadrants. Find

its perimeter. (Use Pi = 3.14)

A. 62.8 cm

B. 82.8 cm

C. 135.6 cm

D. 145.6 cm

8 6

9

FTTS MATH CHALLENGE 2013 Grades 5 & 6

A rectangular tank 12 cm by 20 cm

by 30 cm is filled with water from a tap

at a rate of 400 milliliters per second.

How long does it take to fill up the tank

in liters?

A. 07.2 seconds

B. 18.0 seconds

C. 27.2 seconds

D. 28.0 seconds

Find the value of if

A. 15

B. 21

C. 25

D. 34

27 25

Three times a number increased by

12 is equal to five times the same

number decreased by 18. Find the

number.

A. 10

B. 15

C. 25

D. 30

The ages of three brothers, Rahman,

Hasan and Karim, are in the ratio 1: 2:

3. Hasan is 7 years old. Find the total

age of all three brothers.

A. 14

B. 21

C. 30

D. 32

28 26

y

x12

3

y

yx

8

Mr. Fahlavie has to attend his first

class in the morning at 07:30. The

school is 275 km away from his home.

He travels on a bus which moves at an

average speed of 50km/h. What time

must he board the bus in order to catch

up his class?

A. 1:30 am

B. 2:00 am

C. 2:30 am

D. 3:00 am

The figure shows a square of side

14 cm and four semicircles enclosed

within a circle. Find the area of the

shaded part . (Use Pi = 22/7)

A. 112 cm2

B. 196 cm2

C. 308 cm2

D. 616 cm2

23 21

The cubes below are orderly ar-

ranged according to a rule. All faces of

the cubes are painted except the faces

that touch the ground. How many cubes

are used in the fifth step and how many

squares are there on the painted faces?

Number of cubes Painted faces

A. 25 75

B. 100 80

C. 120 100

D. 125 125

In the table below, A, B, and C are

orderly arranged according to a specific

rule. What number should be instead of

”u” ?

A. 16

B. 36

C. 64

D. 81

24 22

A B C

1 1 2

9 1 4

16 2 6

25 3 8

u 1 9

5

FTTS MATH CHALLENGE 2013 Grades 5 & 6

Cotto, Pacman, Rios and Marquez

each has a different pet: a cat, a dog, a

parrot and a goldfish. Pacman has a

furry animal, Marquez owns a four-

legged creature, Rios has a bird and

Pacman doesn’t like cats. Which state-

ment is not true?

A. Marquez has a dog

B. Rios has a parrot

C. Cotto has a goldfish

D. Pacman has no cat

In Tolerance Subdivision there are

15 rows of houses in a complex. In the

first row there are 3 houses, the second

has 5 houses and the third row has 7

houses. If this pattern continues, how

many houses are in the subdivision

altogether?

A. 155

B. 200

C. 255

D. 300

11 9

The pie chart shows the degrees of

the pupils in the various grade in

Filipino – Turkish Tolerance School.

What percentage of the pupils is in

Grade 6?

A. 7%

B. 20%

C. 23%

D. 50%

If the date of the second Wednes-

day of a month is a perfect cube, then

what is the first day of this month?

A. Tuesday

B. Wednesday

C. Thursday

D. Sunday

12 10

6

In the diagram below, BDE is an

equilateral triangle and AC is a line

segment that passes through point B.

What is the value of angle ABE?

A. 250

B. 400

C. 800

D. 900

A number is put in the operation

machine below.

Then the result is 31. What is the sum

of the digits of this number?

A. 4

B. 5

C. 6

D. 13

15 13

A clock gains 12 seconds each

hour. Today is Friday, December 13,

2013. If it is set right at 08:00 AM,

what time will it show at 8:00 PM on

December 20 next week?

A. 08:02

B. 08:04

C. 08:36

D. 08:37

The ratio of the number of stamps

Michiyo has to the number of stamps

Yoshiro has is 3:2. The ratio of the

number of stamps Yoshiro has to the

number of stamps Ichiro has is 4:5.

Find the ratio of the number of stamps

Michiyo has to Ichiro.

A. 2:5

B. 3:5

C. 3:6

D. 6:5

16 14

7

FTTS MATH CHALLENGE 2013 Grades 5 & 6

If 8 pupils can do a Math project in

9 days, how long will it take 12 pupils

to do the same project?

A. 5 days

B. 6 days

C. 9 days

D. 13 days

If Zam-Zam folds a sheet of Manila

paper into a half and will repeat it for

four more times. Then she makes a hole

in the folded Manila paper. How many

holes does the sheet of Manila paper

have after unfolding?

A. 25

B. 32

C. 52

D. 60

19 17

There are 48 passengers in a bus;

1/4 of them are men, 8 men are getting

on the bus and 6 women are getting off

the bus at the next station. In the last

situation, what is the ratio of the num-

ber of women in the bus to all the pas-

sengers?

A. 2:5

B. 2:3

C. 3:5

D. 3:2

In the Grade 5 and 6 pupil's game,

you call out all the numbers from 1 to

100. You clap every time you say either

a multiple of 3 or a number ending by

3. How many times would you clap in

that game?

A. 36

B. 37

C. 38

D. 39

20 18