Mathletics 2013

Juniors – Grades 5 & 6Session 2

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

Q4. Roadrunner Sprint

Answer

If speed stays the same, how far does the Roadrunner go in 30 minutes?

Q5. Smurfville Population

Average female population? 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

Answer: A Solution:

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y

0 1 2 3

1

2

3

4

x

(1,2)

USS Enterprise

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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Construction site transportationLet w be the windows in one truck. then 10w+ 17=557then 10w = 557-17then 10w = 540w = 540/10w=54

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