Post on 07-Mar-2018
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FTTS MATH CHALLENGE 2013 Grades 5 & 6
FT
TS M
AT
H C
HA
LLEN
GE 2
013 D
ecem
ber
13,
2013
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
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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
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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
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// //
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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
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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
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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
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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
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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
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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
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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
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