Mathletics 2013 Juniors – Grades 5 & 6 Session 2

TV & Entertainment Sports CartoonsConstruction

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 Teddy PJ Gabe Q1. Average Ages

Answer Mach 2 = 681 m/s 1km = 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 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

The US will intervene only when over 50% of China’s population become zombies. On what day will the US intervene? Day 210 more zombies Day 3100 more zombies Day 41,000 more zombies Day 510,000 more zombies Day 6100,000 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 down the 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 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) 35 Hint: Count the total number of points possible to start

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 nap Start: 9:24 am End: 10:20 am Second nap Start: 10:23 am End: 10 minutes later Third nap Start: 11:12 am End: 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 =3500, B) v* h = 1000, C) v * h = 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. 2 nd set of stair has one more step compared to 1 st set. The total steps are 37. How many steps are there in 1 st 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 [Charlie]=44 44/4 children = 11 years Main Page Average Ages

Answer: 5286 seconds Solution: (3600km) X (1000m/km) / (681m/s) = seconds Main Page Long Time Flight

Answer: A Solution: Main Page y x (1,2) USS Enterprise

Song Genres Answer: 150 If 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 Main Page

Answer: D (10) 50% of 1.3 B = 0.65 B = 650,000,000 Main Page Infection RateTotal Zombies Day 11 zombie1 Day 210 more zombies11 Day 3100 more zombies111 Day 41,000 more zombies1,111 Day 510,000 more zombies11,111 Day 6100,000 more zombies111,111 Day 71,000,000 more zombies1,111,111 Day 810,000,000 more zombies11,111,111 Day 9100,000,000 more zombies111,111,111 Day 101,000,000,000 more zombies1,111,111,111 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. Main Page

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. Main Page

Who Goes First ? Answer: A (Fred) Solution: This is an interesting question that mathematicians usually refer to as modular arithmetic. Henry starts 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’. Main Page

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. Main Page

Basketball Score Answer: 8 Solution: 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. Main Page

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 Main Page

Patty Burger Split Answer: 8 Solution: 4 burgers per hour * 7 hours = 28 total burgers Less 4 that are eaten by Spongebob and Patrick = = 24 Split the rest evenly among Squidward, Mr. Plankton and Sandy = 24 / 3 = 8 Main Page

Garfield Naptime Answer: 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 min Third 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 = = 151 min Total = = 217 minutes Main Page

Roadrunner Sprint Answer: 90m Solution: Speed: 3 m /min Time: 30 min Distance travelled = speed * time = 3 *30 = 90 m Main Page

Smurfville Population Answer: 1111 Solution: Read values from graph for female population for each of the five years. 1101, 1109, 1109, 1116, 1120 Add them all together and divide by number of years (5) ( )/5 = 5555/5 = 1111 Main Page

Constructing a Wall Answer: C (v*h+1000=3500) We know that the total number of bricks is 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. Main Page

Constructing a Can structure Let c be the cost of type B can, then 2*c = 42.5 then 2*c = therefore 2*c = 56 Hence c=28 Main Page

Constructing wood stairs Let s be the number of steps of 1 st set of stairs, then total steps of in 2 nd set of stairs = s + 1 then total steps of both stairs = s +(s+1) then s + (s+1) = 37 then 2*s + 1 = 37 then 2*s = 37-1 =36 Hence s=18 … steps in 1 st set of stairs Main Page

Constructing a bridge Let 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 toothpicks t + 2*t = *t = *t = 6000 t= 2000 base requires 2*t = 4000 Main Page

Construction site transportation Let w be the windows in one truck. then 10w+ 17=557 then 10w = then 10w = 540 w = 540/10 w=54 Main Page