junior high target round 11013_sprint

8/3/2019 Junior High Target Round 11013_sprint

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Junior High Target Round 11013Name:Grade:

School:

Junior High Target Round 11 U 13 2009 marhleague.org

(ireg earns S4800 per month. and spends 2X% of his earnings on rent. Fach month he sa es 15%

of the money that is left a 11cr paing the rent. I lo much rnone> does Greg save in one year?

Sarah is 3 times as old as her cousin Tim. and 7 ears older than her brother Aaron. If Aaron is

twice as old as Tim. how many years old is Sarah

Junior I ugh larget Round II 01 3 200) mathleauuc.or

Anne. Steen and Jacoh hae a hoI with 72pieces olcand that they 3. sant IL) di ide up amongthemseI es. Ii the decide (0 split the candy in a 7:3:2 ratio, what is the median amount of candy that

Someone rccei es?What is the sum of the v-coordinates of the intersection points between 4. the 1mev = 3x S andthe parabola i x 4?

.Iunior I ligh Target Round 11013 2009 mathlcague.org

The number of rabbits on a certain island doubles cvcr 3 months. Ii 5. the island has an initialpopulation ol rabbits. how many rabbits ill there he on the island atcr 3 sears?

[wo circular cones are similar tigures. [he first cone has radius 3. 6. while the second cone has

height 12. If the second cone has 27 times the volume of the first cone, hat is the surtice area of

the first cone? (i C your answer in terms of 7t,

Junior I ugh Target Round 11013 c 200Q mathleague.org

A palindrome is a nunther that reads the same both tir ards and 7.hackards (like 131). What s the difference het\%een the number of 5-

digitpalindromes and the number of 6digit palindromes?And and Jerem are playing a game with a standard six-sided die.

They take turns rolling the die and whoeer rolls a 5 or higher first

ins. If Andy rolls tirsi. what is the probability that he wins the game?

Fxpress your answer as a common traction.1 .

Junior high large Round 11013 i 009 mathlcague.org

1. [he total cost of a meal at a restaurant was $61 .95. Ii this costincludes an 1800 tip. hat as the cost of the meal before the tip?

2. How man different ways are there to make $1 with only nickels. 2.

dimes and quarters if you have to use at least one of each coin?3. The distance from the pitchef s mound to home plate in professional 3.

baseball is 60 feet 6 inches. If a pitcher throws a pitch from themound at 88 miles per hour. how long does it take to reach home

plate (there are 528() feet in a mile)? Give your answer in secondsrounded to the nearest hundredth.

4. [he function !i(x) =3f(x)g(x2) where fix) x2 + 2x 10 and 4.

g(x)=What is the value of11(2)?lExpress your answer as acommon fraction.


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5. What is the area of the region satisfy ing the inequality 5.3x1 14I


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the course oithe eek did the average price of gasoline increase from %hat it had been the da before?itaxi service charges $3.50 per person and $1.50 per mile travelled. It three people share a taxi tbr a 12 mile trip. hatwill the cost he per person?Sabrina rolls two standard sixsided dice. What is the prohahilii that 6.the sum of the rolls is a multiple of 3? [xpress sour answer as acommon fraction.[he distance heteen the points (2.5) and (x.l ) is II). \hat is the 7. sum of all possible values oFx?

In a class of 3! sixth graders. 22 play soccer and 14 play baseball. Ii 9 8. students pla both sports. how mans studentspla neither?Sam flips 4 ljir coins. What is the probability that he gets an equal number of heads and tails? Fxpress your answer as a

commonfraction.It costs Alexa l5c to send a text message and tOe to receive one. Il 10. Alexa spends a total of $5.95 on 46 textmessages. ho many did she send?Junior I ugh Sprint Round 11013 c 2009 rnath1eaue.or

ii . In a soccer tournament, each team plas ever other team actl I I twice. If there arc 8 teanis in the tournamenL

ho niany total games ilI he played?

12. A square is inscribed inside a circle. What is the ratio ofthe area of 12.

the circle to the area of the square? Express your anser as commonfraction in terms ofit.13. What is the mean of all prime numbers between 30 and 50? Gke your 13.anser as a decimal.14 .Jane is shootinii free thro%s. She has shot 15 free throws and made 14

60% of them. What is the minimum number offree thro%s she needs to shoot in order to raise her average to76%?

15. What is the product of all possible solutions to the equation 15.

3x 7 = 5? Express your answeras a common fraction.

16. A rectangular solid ith sides of length 4. 6 and 7 is made up out ot 16.

unit cubes. lithe outside of the rectangular so! id ispainted. ho

many of the unit cubes will have no tiices painted?I 7. The first term of a geometric sequence is 81 and the Ii tih term is 16. I 7. What is the sum of all possible values otthe common ratio?

18. how mans different ways can you choose two distinct 3-element 18.

subsets from a 7-element set?I 9. What is the coefticient out: in the expansion of (x v 4-

20. Iw numbers are relatively prime if their greatest common tactor is 20.

I low many positi e integers less than 42 are relati el prime with

42?

21. What is the length of the shortest possible path between the points 21.

(2.8) and (7.4) that goes ia the i-axis?

22. Madeline and Alicia pass each otherat the starting line otan 800 fl long circular track. Madelinejogs at

a rate ot fi per minute and Aliciajogs at 480 II per minute. Atler ho many seconds will they next pass each other atthe starting line?23. li9 3 927 what is the value oiLl? Express your answer as a 23. common traction.Junior High Sprint Round 11013 2009 mathleague.org

24. Ihe interior angles ola hexagon torm an arithmetic sequence. If the 24.

measure of the smallest angle is X5. what is the measure oHlie

second largest angle?

25. IThe greatest common divisorof to numbers is 7, hiIe theirleast 25.common multiple is 42. Ii both numbers are greater than 7. what istheir sum?

26. I v.o bridges are 28 miles apart along a river. Alex ros his boat hack 26.

and forth beteen the two bridges. It takes him 7 hours to ro


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heteen the twobridges travelling against the current. hut only 2

hours travellini ith the current. II Alex ros at the same speed

relative to the ater in both directions. hat is the speed ol thecurrent, in miles per hour?27. In a certain game. successful throws are worth 11 points while kicks 27.

are worth 7 poinl.s. If these are the onl two ways to earn points, what

is the largest score that cant he obtained?28. I lo many consccuti e zeroes does the decimal representation of 58! 28.

end in?

29. At noon the hour and minute hand on Ihomas clock are aligned. In 29.

ho many minutes will they next he aligned? Fxpress your answer as

a common fraction.

30. The two circles with centers at A and B both have radius 6. and each 30.

circle passes through the center of the other. What is the area of the

shaded region? Give sour answer in simplest radical tirm and in

terms ofit.

Junior High Sprint Round 1101 3 t 2009 mathleague.org

junior high target round 11013_sprint

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