mathletics 2013 juniors – grades 5 & 6 session 2
TRANSCRIPT
TV & Entertainment Sports
Cartoons Construction
10 20 30 5040 10 20 30 5040
10 20 30 5040 10 20 30 5040
Answer
Teddy, PJ and Gabe are 10, 15 and 16
years old. Next year, their parents will have
baby Charlie!Next year, what will
the average age of the children be?
(A) 9 (B) 10 (C) 11 (D) 12 (E) 13
TeddyPJ
Gabe
Q1. Average Ages
Answer
Mach 2 = 681 m/s1km = 1000m
Iron Man flies at Mach 2.
The distance between Los Angeles and Miami
is 3600 km.
How long does it take [in seconds] to fly from
LA to Miami?Round to closest
second
Q2. Long Flight Time
Answer
What statement is true?
A)The Enterprise is at (1,2) and is at equal distance
between Earth and Saturn.B)The Enterprise is at (2,1)
and is at equal distance between Earth and Saturn.C)The Enterprise is at (1,2) and is closer to Earth than
to Saturn.D)The Enterprise is at (2,1) and is closer to Saturn than
to Earth.
y
0 1 2 3
1
2
3
4
x
Q3. USS Enterprise
Q4. Song Genres
For every 30 songs, 8 were hip hop, 10 were R&B, 9 were Reggae & 3 were country.How many songs in total after she completed 15 country songs ?
Answer
Answer
The US will intervene only when over 50% of China’s population become zombies. On what day will the US
intervene?
Day 2 10 more zombies
Day 3 100 more zombies
Day 4 1,000 more zombies
Day 5 10,000 more zombies
Day 6 100,000 more zombies
… …
A boy in China (population: 1.3B) gets bitten and becomes a zombie
on Day 1
A) 7 B) 8 C) 9 D) 10 E)11
This pattern continues...
B = billion=
1,000,000,000
Q5. World War Z
Q1. Two Person Game
Answer
Juan and Mary play a two-person game in which the winner gains 2 points and the loser loses 1 point.If Juan won exactly 3 games and Mary had a final score of 5 points, how many games did they play?
(A) 7 (B) 8 (C) 4 (D) 5 (E) 11
Q2. Water Park
Answer
At the waterpark, Bonnie and Wendy decided to race each other down a waterslide. Wendy won by 0.25 seconds. If Bonnie’s time was exactly 7.80 seconds, how long did it take for Wendy to go downthe slide?
(A) 7.80 seconds (B) 8.05 seconds (C) 7.55 seconds (D) 7.15 seconds (E) 7.50 seconds
Q3. Who goes First ?
Answer
Five students named Fred, Gail, Henry, Iggy, and Joan are seated around a circular table in that order.To decide who goes first in a game, they play “countdown”. Henry starts by saying ‘34’, with Iggy saying ‘33’. If they continue to count down in their circular order, who will eventually say ‘1’?
(A) Fred (B) Gail (C) Henry (D) Iggy (E) Joan
34 3
3
Fred
Gail
Henry Iggy
Joan
Q4. Basketball
Answer
In a basketball shooting competition, each competitor shoots ten balls which are numbered from 1 to 10. The number of points earned for each successful shot is equal to the number on the ball. If a competitor misses exactly two shots, which one of the following scores is not possible?
(A) 52 (B) 44 (C) 41 (D) 38 (E) 35Hint: Count the total number of points possible
to start
1 2 3 4 5 6 7 8 9 10
Q5. Basketball Score
Answer
Henri scored a total of 20 points in his basketball team’s first three games. He scored 1/2 of these points in the first game and 1/10 of these points in the second game. How many points did he score in the third game?
Q1. Poké Ball Probability
Answer
28 Poké Balls total 8 regular Poké Balls 3 Ultra Balls 1 Master Ball 1 Safari Ball 3 Sport Balls 4 Premier Balls 5 Dive Balls 2 Cherish Balls 1 Dream Ball
Probability of selecting a regular or Premier Ball?
Q2. Patty Burger Split
Answer
• Spongebob makes 4 Patty Burgers each hour during his shift at the Krusty Krab.
• His shift is 7 hours long.
• During this time, he sneaks 3 burgers into his mouth, and 1 for his good friend Patrick.
• Of the rest of the burgers, they are split evenly between Squidward, Mr. Plankton, and Sandy.
• How many does Sandy get?
Q3. Garfield Naptime
First napStart: 9:24 amEnd: 10:20 am
Second napStart: 10:23 amEnd: 10 minutes
later
Third napStart: 11:12 amEnd: 1:43 pm
Total time napping?
Answer
Q1. Constructing a Wall
A wall is constructed using 3500 bricks and it contains foundation and main wall.
The foundation of the wall contains 1000 bricks.
If v represents number of bricks in main wall in vertical direction and h represents number of bricks in main wall in horizontal direction which expression represents the calculation of bricks?
A) v+ h - 1000=3500,
B) v* h + 3500 = 1000,
C) v * h + 1000 = 3500,
D) 3500/v + h = 1000 Answer
Q2.Constructing a Can structure
A can structure contains two types of cans. Type A can costs of $42.5. This is $13.5 less than twice what is spent for type B can. What will be the cost of type B can?
(Photograph below is just for illustration)
Answer
Q3.Constructing wood stairs
A house has two sets of wood stairs.2nd set of stair has one more step compared to 1st set. The total steps are 37. How many steps are there in 1st set of stairs?
(Photograph below is just for illustration)
Answer
Q4.Constructing a bridge
A bridge structure is made up of 7000 toothpicks. The base requires twice the toothpicks compared to rest of the structure. The road of the bridge utilizes 1000 toothpicks.How many toothpicks are used to construct the base? (Photograph below is just for illustration)
Answer
Q5.Construction site transportation
A total of 557 windows were sent to a construction site. Total 10 trucks were filled equally and the remaining 17 windows were sent in a small U-Haul. How many windows were there in each truck?
Answer
Answer: C (11)Solution: Next year, Teddy, PJ and
Gabe will be 11, 16 and 17.11+16+17+0 [Charlie]=4444/4 children = 11 years
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Average Ages
Answer: 5286 secondsSolution:(3600km) X (1000m/km) / (681m/s)
= 5286.3 seconds
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Long Time Flight
Song Genres
Answer: 150If she has listened 15 country songs
she has gone through 5 cycles. So multiply all songs by 5.
8 * 5 hip hop + 10 * 5 R&B + 9 * 5 Reggae +15 country = 150 songs
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Answer: D (10)
50% of 1.3 B = 0.65 B = 650,000,000
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Infection Rate Total Zombies
Day 1 1 zombie 1
Day 2 10 more zombies 11
Day 3 100 more zombies 111
Day 4 1,000 more zombies 1,111
Day 5 10,000 more zombies 11,111
Day 6 100,000 more zombies 111,111
Day 7 1,000,000 more zombies 1,111,111
Day 8 10,000,000 more zombies
11,111,111
Day 9 100,000,000 more zombies
111,111,111
Day 10
1,000,000,000 more zombies
1,111,111,111
World War Z
Two Person Game
Answer: A (7)Solution:If Juan won 3 games then Mary lost 3 points so that
she must have had 8 points before losing in order
to have a final total of 5.If Mary had 8 points before losing then she must
have won 4 games.If Mary won 4 games and Juan won 3 games there
was a total of 7 games.
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Water Park
Answer: C (7.55 seconds)Solution:If Wendy finished 0.25 seconds
ahead of Bonnie and Bonnie took 7.80 seconds then Wendy took
7.80 – 0.25 or 7.55 seconds.
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Who Goes First ?Answer: A (Fred)Solution:This is an interesting question that mathematicians
usually refer to as modular arithmetic. Henrystarts by saying ‘34’ and always says the number,
34 – 5n, where n is a positive integer starting at 1 representing number of rounds.
In other words, he says ‘34’, ‘29’, ..., ‘9’, ‘4’. This implies Henry says ‘4’, Iggy says ‘3’, Joan says ‘2’ and Fred says ‘1’.
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Basketball
Answer: E (35)Solution:If all ten balls scored, a score of 55 is possible.If ball 1 and 2 is missed the maximum possible
score is 52. Similarly, if 9 and 10 are missed, the minimum score is 36.
Every score between 36 and 52 is also possible. Of the listed scores, 35 is the only score that is not
possible.
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Basketball Score
Answer: 8Solution:Henri scored 1/2 x 20 = 10 points in his
first game. In his second game, he scored 1/10 x 20
= 2 points.In the third game, this means that he will
score 20 – 2 – 10 = 8 points.
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Poké Ball Probability
Answer: 3/7 Solution:
There are 8 regular Poké Balls and 4 Premier Balls.Therefore you can choose 8+4 or 12 balls out of the 28 total Poké Balls.P(regular or Premier) = (8+4)/28 = 12/28 = 3/7
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Patty Burger Split
Answer: 8Solution:
4 burgers per hour * 7 hours = 28 total burgersLess 4 that are eaten by Spongebob and Patrick = 28 - 4 = 24Split the rest evenly among Squidward, Mr. Plankton and Sandy= 24 / 3 = 8 Main Page
Garfield NaptimeAnswer: 217 minutes
First nap (9:24 am to 10:20 am)• 9:24 am to 10:24 am is one hour, so we want
four minutes less than that = 56 min
Second nap = 10 minThird nap (11:12 am to 1:43 pm)
• 11:12 am to 1:12 pm = two hours = 120 min• 1:12 pm to 1:43 pm = 31 min• total of third nap = 120 + 31 = 151 min
Total = 56+10+151 = 217 minutes Main Page
Roadrunner Sprint
Answer: 90mSolution:
Speed: 3 m /minTime: 30 minDistance travelled = speed * time = 3 *30= 90 m
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Smurfville PopulationAnswer: 1111Solution:
Read values from graph for female population for each of the five years.1101, 1109, 1109, 1116, 1120Add them all together and divide by number of years (5) (1101 + 1109 + 1109 + 1116 + 1120)/5 = 5555/5 = 1111
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Constructing a Wall
Answer: C (v*h+1000=3500)We know that the total number of bricks is
3500. To find the number of bricks in the wall, we
have to multiply number of horizontal and vertical bricks, which is v*h.
Add that to the bricks in the foundation we get total number of bricks.
So, v*h+1000=3500 is the correct equation.
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Constructing a Can structureLet c be the cost of type B can,
then 2*c - 13.5 = 42.5then 2*c = 42.5 + 13.5therefore 2*c = 56Hence c=28
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Constructing wood stairsLet s be the number of steps of 1st set of
stairs, then total steps of in 2nd set of stairs = s + 1then total steps of both stairs = s +(s+1)then s + (s+1) = 37then 2*s + 1 = 37then 2*s = 37-1 =36Hence s=18… steps in 1st set of stairs
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Constructing a bridgeLet t be the toothpicks of the rest of the structure.then the base requires 2*t toothpicks
toothpicks used in rest of the structure+ toothpicks used in base+ toothpicks used in road = total toothpickst + 2*t + 1000 = 70003*t = 7000-10003*t = 6000t= 2000base requires 2*t = 4000
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