Maths one word question answers

Practice various types of math word problems. These activities in math will help the students to understand the different facts of each problem that are useful to translate the information of the questions in the steps and find exact answers of all the questions.

Math Word Problems:

1. Two cities are 1580 miles apart. A plane leaves one of them traveling towards the other at an average speed o 400 mile per hour. At that time a plane leaves the other traveling towards the first at an average speed of 390 miles per hr. How long will it take them to meet?

3. A table is three times as long as it is wide. If it were 5ft shorter and 5 ft wider it would be square (with all sides equal). How long and how wide is the table?

4. Nico is saving money for his college education. He invests some money at 9% and 800 less than that amount @ 6%. The investments produced a total f $222 interest in 1 yr. How much did he invest at each rate?

6. How many litters of a 60% acid solution must be mixed with a 25¬id solution to get a 315L of a 50% acid?

Answer:

7. A Dr. Wishes to mix a solution that is 7% monoxide. She has on hand 60 ml of a 6% solution ad wishes to add 9% solution to obtain the desired 7% solution she should add ___ ML

Answer:

8. When 1 is added to the difference between four time’s number and 9, the result is greater than 13 added to 3 times the number. Find all such numbers.

9. Randy has $15,000 that he would like to invest. He has a choice of two interest paying bonds, one offering a 4% annual interest and the other paying 8% annual interest. He would like to earn $760 in interest in one year using both types of bonds that he can put towards his vacation. How much money should he invest in each bond?

10. An elementary school teacher wishes to use 17 feet of scalloped border to enclose a rectangular region on her bulletin board. What is the maximum area that she can enclose with the border?

Answer:

11. The expression 10,000 – 1,000t can be used to calculate the tax value in dollars of a farm tractor that is t years old. How old will the tractor be when its tax value reaches zero?
(a) 12 yr old, (b) 11 yr old, (c) 10 yr old, (d) 13 yr old

Answer: (c) 10 years

12. The total cost of a video game was $42.39. This included 6%
sales tax. Find the price without sales tax.

Answer: $ 39.99 (Approx)

13. Clear-water High School expects a 41% increase in enrollment
next year. There are 1850 students enrolled this year. How many students will
the school gain? What is the expected enrollment next year?

Answer: School gain 1632 students and expected enrollment next year = 2109

14. A fair die is tossed once. Which event is more likely, «the number showing is divisible by three» or «the number showing is even»?

Answer: 6

15. An electric clock was stopped by a power failure. What is the
probability that the minute hand stopped between the following two numerals on
the face of the clock? a) 12 and 3 b) 1 and 5 c) 11 and 1

Answer: (a) P(12 and 3) = 1/4, (b) P(1 and 5) = 1/3, (c) P(11 and 1) = 1/6

16. Amy the chicken is tied to one corner of a rectangular barn with a 12 foot rope. If the width of the barn is 8 ft and the length is 2 yards, find the area outside the barn in which Amy can travel. Leave pi (Π) in the answer.

Answer:

17. A swimming pool has to be drained for maintenance. The pool is shaped like a cylinder with a diameter of 10m and a depth of 2.2 m . If the water is pumped out of the pool at the rate of 17 m^3 per hour, how many hours does it take to empty the pool? Use the value 3.14 for , and round your answer to the nearest hour.

Answer:

18. The height of a triangle is 4 feet more than 3 times the base. If the area is 32 ft2, find the
base and height of the triangle.

Answer: Base = 4 feet, Height = 16 feet.

19. In general, the y-intercept of the function F(x) = a*b^x is the point _____.

Answer: (0, a)

20. The domain of F(x)=(2/3)^x is all negative numbers.

A. True B. False

Answer: B. False

21. For all values of a and b that make F(x) = a * b^x a valid exponential function, the graph always has a horizontal asymptote at y = 0.

A. True B. False

Answer: A. True

22. The range of F(x) = 5 * 2^x is all positive real numbers.

A. True B. False

Answer: A. True

23. The range of the function given below is the set of all positive real numbers greater than 6.

F(x) = 6 + 2^x

A. True B. False

Answer: A. True

24. Graduate students were asked to participate in an evaluation of beers. Each student was given three glasses in a random order. Glasses 1 and 2 both had the same inexpensive local beer, while Glass 3 contained a more expensive imported beer. Students were told that the beer in glass 1 was expensive, but that the beer in glass 2 was not. They were not told anything about glass 3. Students were asked to rate the beers from 1 to 20 with higher ratings indicating better taste. 8 students responses were randomly selected and are presented below. What is your question? Analyze the data to answer the question.

25. A rectangles perimeter is 16 units and its area is 11 square units. please find its exact dimensions.

Answer: Length = 4 + √5 units, Width = 4 — √5 units

26. Astronauts who waked on the moon felt as if they weighed about one sixth of their weight on earth. this is because the weight of an object is determined by the gravitational attraction between the object and the planet (or moon) its on. you can use the following formula to estimate the weight of an object on the surface of any of the planets: gravitational force=GmM/r^2, where G=universal gravitational constant,m=mass of the object, M=mass of the planet, and r=radius of the planet. For a given object, Grandma remain constant, so the force of gravity depends only on the variables named r.

Answer:

27. A store is having a sale on liquid soap and sponges the cost of 6 bottles of soap is 9.12 the coast of 4 sponges is 5.00 what is the total cost of buying 2 bottles of liquid soap and 3 sponges.

Answer:

28. A line contains the points(a, b) and ( a+3, b+3). Find the slope of the line.

Answer: Slope = 1

29. Put the following list of real numbers in order from LEAST to GREATEST. Make sure you show all the steps you took to get to your final answer. -√64 ,-7/2, 3.3, √10, 27/3

Answer:  -√64, -3.5, √10, 3.3, 27/3

30. Johnathon and Talia simplified the following expression on their Algebra 1 midterm: 7 — 2(x — 5).

Answer: Johnathon’s work — Correct Process

31. What is the sales tax and total price of an item that is $45.69 if the sales tax is 7.5 %?

a. sales tax = $3.00; total price = $50.00

b. sales tax = $3.40; total price = $49.09

c. sales tax = $3.43; total price = $49.12

d. sales tax = $3.42; total price = $49.11

Answer: c. sales tax = $3.43; total price = $49.12

32. Kate earns a weekly allowance of $12. How much money will she earn in 8 weeks? Do not enter $.____ dollars

Answer: $ 96

33. A table is shaped like a square and has an area of 100 square feet. Find the length of one side of the table.____ feet

Answer: 10 feet.

34. Juan bought n video games. Write an expression to show the total cost of the games if each game cost $16. Do not enter $ in your answer.

Answer: Total cost f(n) = 16n

35. A sandpit in the shape of a pentagon ABCDE is to be
built in such a way that each of its sides are of equal length, but its angles
are not all equal. The pentagon is symmetrical about DX, where X is the
midpoint of AB. The angle AXE and BXC are both 45 degrees and each side is 2m
long.

(a) Find angle XEA.

(b) Find the length of EX.

(c) How much sand is
required if the sandpit is 30 cm deep?

Give your answer to three decimal place.

36. An aircraft takes off from an airstrip and then flies for
16.2 km on a bearing of 066 degrees true. The pilot then makes a let turn of 88
degrees and flies for a further 39.51 km on this course before deciding to
return to the airstrip. (a) Through what angle must the pilot turn to return to
the airstrip? (b) How far will the pilot have to fly to return to the airstrip?

37. Gracie decided to rent a limo for her wedding. The Bedazzled Limo Com-
pany charges a $50 gas fee, $56.48 per hour to rent the limo and
requires a tip of 20% on the total price of the rental (so 20% of the
total cost of the rental). The Wedding Bell Limo Company charges $68.36
per hour and requires a 25% tip to the driver. For how long of a rental
will the hourly cost be the same? (Round to the nearest half hour).

Answers for the different types of math word problems are given below to check the exact answers of the above math questions.

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Here is the Downloadable PDF that consists of Fun Math questions. Click the Download button to view them.

Here are some fun, tricky and hard to solve maths problems that will challenge your thinking ability.

1. If 1=3

2=3

3=5

4=4

5=4

Then, 6=?

Answer: is 3, because ‘six’ has three letters

1. What is the number of parking space covered by the car?

This tricky math problem went viral a few years back after it appeared on an entrance exam in Hong Kong… for six-year-olds. Supposedly the students had just 20 seconds to solve the problem!

Answer:

Believe it or not, this “math” question actually requires no math whatsoever. If you flip the image upside down, you’ll see that what you’re dealing with is a simple number sequence.

1. Replace the question mark in the above problem with the appropriate number.

Answer:

1. Which number is equivalent to 3^(4)÷3^(2)

This problem comes straight from a standardized test given in New York in 2014.

Answer:

1. There are 49 dogs signed up for a dog show. There are 36 more small dogs than large dogs. How many small dogs have signed up to compete? 

This question comes directly from a second grader’s math homework.

Answer:

To figure out how many small dogs are competing, you have to subtract 36 from 49 and then divide that answer, 13 by 2, to get 6.5 dogs, or the number of big dogs competing. But you’re not done yet! You then have to add 6.5 to 36 to get the number of small dogs competing, which is 42.5. Of course, it’s not actually possible for half a dog to compete in a dog show, but for the sake of this math problem let’s assume that it is.

1. Add 8.563 and 4.8292.

Answer:

Adding two decimals together is easier than it looks. Don’t let the fact that 8.563 has fewer numbers than 4.8292 trip you up. All you have to do is add a 0 to the end of 8.563 and then add like you normally would.

1. I am an odd number. Take away one letter and I become even. What number am I?

Answer: 
Seven (take away the ‘s’ and it becomes ‘even’).

1. Using only an addition, how do you add eight 8’s and get the number 1000?

Answer: 

888 + 88 + 8 + 8 + 8 = 1000

1. Sally is 54 years old and her mother is 80, how many years ago was Sally’s mother times her age?

Answer: 

41 years ago, when Sally was 13 and her mother was 39.

1. Which 3 numbers have the same answer whether they’re added or multiplied together?

Answer:

1. There is a basket containing 5 apples, how do you divide the apples among 5 children so that each child has 1 apple while 1 apple remains in the basket?

Answer:

4 children get 1 apple each while the fifth child gets the basket with the remaining apple still in it.

1. There is a three-digit number. The second digit is four times as big as the third digit, while the first digit is three less than the second digit. What is the number?

Answer:

1. Fill in the question mark

       

Answer:

1. Two girls were born to the same mother, at the same time, on the same day, in the same month and the same year and yet somehow they’re not twins. Why not?

Answer:

Because there was a third girl, which makes them triplets!

1. A ship anchored in a port has a ladder which hangs over the side. The length of the ladder is 200cm, the distance between each rung in 20cm and the bottom rung touches the water. The tide rises at a rate of 10cm an hour. When will the water reach the fifth rung?

Answer:

The tide raises both the water and the boat so the water will never reach the fifth rung. 

1. The day before yesterday I was 25. The next year I will be 28. This is true only one day in a year. What day is my Birthday? 

Answer:

1. You have a 3-litre bottle and a 5-litre bottle. How can you measure 4 litres of water by using 3L and 5L bottles? 

Answer: 

Solution 1 :

• First, fill 3Lt bottle and pour 3 litres into 5Lt bottle.

• Again fill the 3Lt bottle. Now pour 2 litres into the 5Lt bottle until it becomes full.

• Now empty 5Lt bottle.

• Pour remaining 1 litre in 3Lt bottle into 5Lt bottle.

• Now again fill 3Lt bottle and pour 3 litres into 5Lt bottle.

• Now you have 4 litres in the 5Lt bottle. That’s it.

Solution 2 :

• First, fill the 5Lt bottle and pour 3 litres into 3Lt bottle.

• Empty 3Lt bottle.

• Pour remaining 2 litres in  5Lt bottle into 3Lt bottle.

• Again fill the 5Lt bottle and pour 1 litre into 3 Lt bottle until it becomes full.

• Now you have 4 litres in the 5Lt bottle. That’s it.

1. 3 Friends went to a shop and purchased 3 toys. Each person paid Rs.10 which is the cost of one toy. So, they paid Rs.30 i.e. total amount. The shop owner gave a discount of Rs.5 on the total purchase of 3 toys for Rs.30. Then, among Rs.5, Each person has taken Rs.1 and remaining Rs.2 given to the beggar beside the shop. Now, the effective amount paid by each person is Rs.9 and the amount given to the beggar is Rs.2. So, the total effective amount paid is 9*3 = 27 and the amount given to beggar is Rs.2, thus the total is Rs.29. Where has the other Rs.1 gone from the original Rs.30?

Answer: 

The logic is payments should be equal to receipts. We cannot add the amount paid by persons and the amount given to the beggar and compare it to Rs.30.The total amount paid is ₹27. So, from ₹27, the shop owner received 25 rupees and beggar received ₹ 2. Thus, payments are equal to receipts.

1. How to get a number 100 by using four sevens (7’s) and a one (1)?

Answer 1: 177 – 77 = 100 ;

Answer 2: (7+7) * (7 + (1/7)) = 100 

1. Move any four matches to get 3 equilateral triangles only (don’t remove matches)

Answer:

1. Find the area of the red triangle.

Answer:

To solve this fun maths question, you need to understand how the area of a parallelogram works. If you already know how the area of a parallelogram and the area of a triangle are related, then adding 79 and 10 and subsequently subtracting 72 and 8 to get 9 should make sense.

1.  How many feet are in a mile? 

Answer:

1. Solve  — 15+ (-5x) =0

Answer:

1. What is 1.92÷3

Answer:

1. A man is climbing up a mountain which is inclined. He has to travel 100 km to reach the top of the mountain. Every day He climbs up 2 km forward in the day time. Exhausted, he then takes rest there at night time. At night, while he is asleep, he slips down 1 km backwards because the mountain is inclined. Then how many days does it take him to reach the mountain top? 

Answer: 

1.  If 72 x 96 = 6927, 58 x 87 = 7885, then 79 x 86 = ?

Answer: 

1. Look at this series: 36, 34, 30, 28, 24, … What number should come next?

Answer:

1.  Look at this series: 22, 21, 23, 22, 24, 23, … What number should come next?

Answer:

1. If 13 x 12 = 651 & 41 x 23 = 448, then, 24 x 22 =?

Answer: 

1. Look at this series: 53, 53, 40, 40, 27, 27, … What number should come next?

Answer: 

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Any mathematics practiced by the peoples of Mesopotamia (now Iraq), from the time of the ancient Sumerians through the Hellenistic era and almost up to the advent of Christianity, is referred to as Babylonian mathematics. The old Babylonian period began a few hundred years into the second millennium BC, and the last few centuries of the first millennium BC was when the majority of Babylonian mathematics was created (Seleucid period). Because Babylon played a significant role as a center of learning, it was given the moniker Babylonian mathematics. Later, Mesopotamia, particularly Baghdad, rose to prominence as a hub for Islamic mathematics research throughout the Arab Empire.

The majority of the information about Babylonian mathematics comes from more than 400 clay tablets that have been discovered since the 1850s, as opposed to the limited number of sources for Egyptian mathematics. Tablets with Cuneiform writing were carved while the clay was still wet, then hardened in an oven or under the sun. Some of them seem like graded assignments. The ancient Sumerians, who established the earliest civilization in Mesopotamia, are responsible for the earliest examples of written mathematics. Beginning about 3000 BC, they created a sophisticated system of metrology. The Sumerians began writing multiplication tables on clay tablets circa 2500 BC, and they also dealt with division issues and geometrical exercises. This is also the timeframe for the earliest indications of Babylonian numerals.

Sexagesimal (base-60) numerals were used to represent mathematical concepts in Babylonian writing. The contemporary usage of the terms 60 seconds in a minute, 60 minutes in an hour, 360 (60 6) degrees in a circle, and seconds and minutes of arc to represent fractions of a degree all originate from this. The sexagesimal system was most likely chosen because 60 can be split in half equally by 2, 3, 4, 5, 6, 10, 12, 15, and 30. Additionally, the Babylonians, unlike the Egyptians, Greeks, and Romans, had a place-value system in which the numbers written in the left column corresponded to bigger values, similar to the decimal system.

Because fractions could be represented in the Babylonian notational system just as readily as whole numbers, multiplying two numbers that contained fractions was equivalent to multiplying integers, just like it is in current notation. The Babylonians had the greatest notational system of any culture up to the Renaissance, and because of this, they were able to attain astounding computing precision; for instance, the Babylonian tablet YBC 7289 provides an estimate of 2 that is exact to five decimal places. However, because the Babylonians lacked a sign for the decimal point, it was sometimes necessary to deduce the place value of a symbol from its context. The Babylonians created a zero symbol for vacant places by the time of the Seleucids, although it was only used in intermediate locations. Due to the absence of the zero sign at terminal places, the Babylonians came close to creating a genuine place value system but fell short.

Fractions, algebra, quadratic and cubic equations, and the computation of regular numbers and their reciprocal pairings are further topics addressed by Babylonian mathematics. A remarkable accomplishment for the time, the tablets also contain techniques for solving linear, quadratic, and cubic problems as well as multiplication tables. The Pythagorean theorem was first expressed on tablets that date to the Old Babylonian era. However, unlike Egyptian mathematics, Babylonian mathematics has no understanding of the distinction between precise and approximative solutions, the solvability of a problem, or, more significantly, the necessity for proofs or logical principles.

Mathematics written in the Egyptian language is referred to as Egyptian mathematics. Greek began to take the place of Egyptian as the written language of Egyptian scholars throughout the Hellenistic era. After Arabic was adopted as the written language of Egyptian intellectuals, mathematics was still being studied in Egypt under the Arab Empire as a branch of Islamic mathematics. According to archeological data, Sub-Saharan Africa may have served as the genesis region for the Ancient Egyptian numbering system. Additionally, Egyptian architecture and cosmological symbols feature fractal geometric patterns, which are common in Sub-Saharan African civilizations.

The Rhind papyrus, which is often sometimes called the Ahmes papyrus for its author, is the most comprehensive Egyptian mathematical treatise. It is dated to around 1650 BC, but it is most likely a copy of an earlier work from the Middle Kingdom, which lasted from around 2000–1800 BC. It is a textbook with instructions for geometry and algebra. It also contains evidence of other mathematical knowledge, such as composite and prime numbers, arithmetic, geometric, and harmonic means, and simplified understandings of both the Sieve of Eratosthenes and perfect number theory, in addition to providing area formulas and methods for multiplying, dividing, and working with unit fractions (namely, that of the number 6). Additionally, it demonstrates how to resolve arithmetic and geometric series as well as first-order linear equations.

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