Word Problems: Packet A (G6/G7)

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Name: _________________________________

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Choose correct answer(s) from the given choices

(1) The set of consecutive odd numbers starting from 1 till N (i.e. 1,3, 5, 7...N) has a sum of 400. What is thevalue of N?

a. 39 b. 37

c. 41 d. 35

(2) There are 50 questions in a competitive exam. 3 marks are awarded for each correct answer, while 1 mark isdeducted for each incorrect answer. Christopher answered 39 questions correctly. If he attempts all thequestions, how many marks did he get?

a. 6 b. 113

c. 106 d. 11

Answer the questions

(3) While doing a science experiment in the physics lab, Luke took 6 measurements of the temperature andwrote the average of those as an answer. If the measurements of the temperature are 2, -3, -3, -2, -4 and 2,what is the final answer of his experiment?

(4) Find the ones digit of the cube of 4572522.

(5) Allison wrote an exam which had 19 questions. Each question she answers correctly gets her 10 marks.However, she loses 5 marks for each question she answers incorrectly.She attempted all the questions and got a total of 100 marks. How many questions did she answer wrong?

(6) Savannah ended round one of a game show with 100 points. In round two, she scored 200 points in themusic category and in the third round, she lost 100 points. What was her total score at the end of the thirdround?

(7) An integer when divided by 9 gives a remainder 4. The resulting quotient when divided by 7 gives aremainder 6. The resulting quotient is then divided by 8 giving a quotient 1 and a remainder 6. What will bethe final remainder, if the order of the divisors is reversed?

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longer than Rope A. Find the length of Rope C.

a. 45

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c. 55

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(2) 60 people work at an office.1

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maximum possible number of unmarried women at the office?

a. 7 b. 11

c. 13 d. 10

Choose correct answer(s) from the given choices

(1) Ella has a 5 m long rope. She cuts it into 3 pieces, i.e., A, B, and C. Rope A is1

8m long. Rope B is

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8m

b. 46

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d. 45

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of the workers are women, and2

3of the people are married. What is the

(3) John brought 601

12kg of mangoes on his school trip. He distribute 17

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3kg of mangoes in the first

quarter of the trip, 53

4kg of mangoes in the second quarter of the trip, and 16

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3kg of mangoes in the

third quarter. The quantity of mangoes left for the last part of the trip are __________

(4) In a class of 50 students, 5 girls and 8 boys like baseball, 8 girls and 3 boys like cricket, 3 girls and 7 boys likevolleyball and the remaining students like tennis. If an equal number of girls and boys like tennis, then whatfraction of girls like tennis?

(5) In a class of 41 students, 5 girls and 3 boys like volleyball, 7 girls and 5 boys like tennis, 8 girls and 3 boyslike basketball and the remaining students like hockey. If an equal number of girls and boys like hockey, thenwhat fraction of girls like hockey?

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Choose correct answer(s) from the given choices

(1) If the sum of four consecutive numbers is 122, then find the numbers.

a. 29, 30, 31 and 32 b. 28, 29, 30 and 31

c. 30, 31, 32 and 33 d. 31, 32, 33 and 34

(2) The mother's age is 5 times her daughter's age. After 32 years, the age of the mother will be 13/9 times herdaughter's age. The present ages of the daughter and the mother are, respectively.

a. 6 years and 30 years b. 2 years and 10 years

c. 3 years and 15 years d. 4 years and 20 years

(3) If two fourth of a number is 16 less than the original number, find the number.

a. 40 b. 32

c. 24 d. 36

(4) An amount of $ 4200 is made up with the notes of denominations $ 100, 50, 20, and 10. The number of $10notes are 3 times the number of $20 notes. The number of $20 notes are 4 times the number of $50 notes. Thenumber of $50 notes are 2 times the number of $100 notes. How many total notes of denomination $50 arethere?

a. 12 b. 14

c. 16 d. 13

Fill in the blanks

(5) A pigeon ate 1294 earthworms, in total, for 4 consecutive nights. Each night, he ate 21 earthworms more

than the previous night. The number of earthworms eaten by the pigeon on the first night is _______. .

(6) The denominator of a rational number is greater than its numerator by 5. If 5 is subtracted from the numerator and

4 is added to its denominator, the new number becomes 1. What is the original number ? _________

Answer the questions

(7) The number of days left in the month of November are double the number of days already passed. Howmany days are left in the month of November?

(8) A man is 12 years older than his wife and the wife is now thrice as old as their daughter, who is 11 years old.How old was the man when his daughter was born?

(9) 18 years ago, the age of Mason's aunt was 3 times the age of Mason. If, his aunt is 42 years old now, howold is Mason now?

(10) The length of a rectangular field is 9 meters more than its width. If its perimeter is 54 meters, what are thelength and the width of the field?

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Choose correct answer(s) from the given choices

(1) The length of a rectangular park is 6 meters more than its width. If its perimeter is 40 meters, what is thelength of the park?

a. 12 b. 14

c. 13 d. 16

(2) William has $26 in the form of fifty-cent coins (half-dollar pieces) and twenty-five cent coins (quarters). He has twice as

many quarters as half-dollar pieces. How many coins of each kind?

a. 22 and 44 b. 34 and 68c. 26 and 52 d. 30 and 60

Answer the questions

(3) If the sum of four consecutive numbers is 138, find the numbers.

(4) Mr. and Mrs. Malhotra went to a theatre with their 4 children. The children were charged with half of the entrance fee. If

the total fee charged was $56, what is the entrance fee for each adult?

(5) 15 years ago, the age of Noah's mother was 3 times the age of Noah. If, his mother is 54 years old now, how old is Noah

now?

(6) Jacob has two planks of wood. One of them is 21 m less than 4 times the length of the other one. The two planks put

together are 29 meters long. What is the length of the longer plank?

(7) The number of days left in the month of September are half the number of days already passed. How many days are left

in the month of September? (note: September has 30 days)

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Choose correct answer(s) from the given choices

(1) Julia plays squash every 3rd day and plays badminton every 5th day. She played both squash and badmintonon 4th May. What is the next date when Julia will play both the games?

a. 19th May b. 20th May

c. 21st May d. 18th May

(2) Evan has two sheets of cloth. One sheet is 297 inches wide and the other sheet is 135 inches wide. He wants todivide the sheets into strips of equal width without wasting any cloth such that they are as wide as possible.How wide should he cut the strips?

a. 35 inches b. 26 inches

c. 30 inches d. 27 inches

(3) Determine the two numbers nearest to 500000 which are exactly divisible by 5, 6, 4, 7 and 8.

a. 499799, 500640 b. 499800, 500642

c. 499802, 500640 d. 499800, 500640

(4) A lighthouse has two lights - one that flashes every 3 minutes and another that flashes every 3

Suppose the lights flash together at noon. What is the first time after 2 PM when they will flash togetheragain?

a. 2:00 b. 2:04

c. 2:06 d. 2:02

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2minutes.

Fill in the blanks

(5) The two numbers nearest to 500000 which are exactly divisible by 7, 9, 2 and 3 are and

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Choose correct answer(s) from the given choices

(1) Joshua gets a salary of $14950 while Jack gets $5750 more per month. The ratio of the salary of Joshua andJack is

a. 17:12 b. 12:19

c. 14:17 d. 13:18

(2) There are red and yellow balls in a bag. Two-fifth of the balls are red. If we now add 13 red and 5 yellow tothe bag, which of following is correct?

a. Cannot be determined from given information.

b. There are more red balls than yellow balls.

c. There are more yellow balls than red balls.

d. There are same number of red and yellow balls.

(3) In an office, the workers start their work daily at 10:45 AM and end at 09:25 PM. They get a break of 40minutes to have lunch and two coffee breaks of 15 minutes each.

The simplest form of ratio of the time they spend working to the time of their breaks is __________

Answer the questions

(4) A bag contains quarters, dimes, and nickels in the ratio 3:7:8. If their total value is $105.45, then howmany dimes are there?

(5) There are three possible modes of transportation in a state. We can travel by rail, by river, or by road. Thestate has 1430 km of rail, 3960 km of river, and 9790 km of road. Taking the three ratios (distance coveredby the networks of rail:river, river:road, and rail:road), what is the value of the highest consequent?

(6) The diagonal of a rectangle is twice the length of its smaller side. What is the ratio of its length and breadth?

(7) Joseph is 26 years old and his neighbor Maria is 41 years old. What will be the ratio of their ages in 10 years?

(8) Faith gets a salary of $23500 every month and she sends $3500, out of that, to her parents. What is the ratioof the money she sends to her parents to the amount she is left with?

(9) Two numbers are in ratio 1:2. If 5 is subtracted from both the numbers, then the ratio becomes 1:3. Find thenumbers.

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Ratio Word Problems

W o r k W o r d P r o b l e m s

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to dig the hole if they worked together?

1) A container ship left the Dania Pier andtraveled north. An aircraft carrier left fourhours later traveling at 30 mph in an effortto catch up to the container ship. Aftertraveling for eight hours the aircraft carrierfinally caught up. What was the containership's average speed?

2) A cruise ship made a trip to Guam and back.The trip there took 12 hours and the tripback took nine hours. It averaged 20 km/hon the return trip. Find the average speed ofthe trip there.

3) Scott left the airport and traveled toward thetrain station. Three hours later Castel lefttraveling at 50 mph in an effort to catch upto Scott. After traveling for two hours Castelfinally caught up. What was Scott's averagespeed?

4) Jose traveled to the town hall and back. Thetrip there took five hours and the trip backtook four hours. He averaged 35 km/h onthe return trip. Find the average speed of thetrip there.

5) Perry left school driving toward the lake onehour before Jaidee. Jaidee drove in theopposite direction going 6 mph slower thanPerry for one hour after which time theywere 174 mi. apart. What was Perry'sspeed?

6) Wilbur left the hardware store and traveledtoward the recycling plant at an averagespeed of 33 km/h. Mary left two hours laterand traveled in the same direction but withan average speed of 55 km/h. How long didWilbur travel before Mary caught up?

7 ) A fishing boat left Hawaii traveling west 0.5hours before a cruise ship. The cruise shiptraveled in the opposite direction going 12.5km/h faster than the fishing boat for 11hours after which time the ships were 322km apart. What was the fishing boat'sspeed?

8) A diesel train left the station traveling north1.5 hours before a freight train. The freighttrain traveled in the opposite direction going6 km/h faster than the diesel train for twohours after which time the trains were 312.3km apart. Find the diesel train's speed.

Distance Word Problems

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