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Grade 4 Math Word Problems With Answers
A set of grade 4 math word problems with answers. Also Solutions and explanations are included.
The areas, in kilometers squared, of some countries are given below. USA: 9,629,091, Russia: 17,098,242, China: 9,598,094, Canada: 9,984,670, the UK: 242,400 and India: 3,287,263.
Answer the following questions:
Which of these countries has the smallest area?
Which of these countries has the largest area?
What is the difference between the areas of Russia and China?
Find the total area of all countries listed above?
Order these countries from the largest to the smallest areas?
Jim drove 768 miles of a 1200 miles journey. How many more miles does he need to drive to finish his journey?
The rectangle on the left and the square on the right have the same perimeter. What is the length of one side of the square?
.
There are 123 boxes of sweets in a store. There are 25 sweets in each box. How many sweets are in the store?
There are 365 days in one year, and 100 years in one century. How many days are in one century?
Billy read 2 books. He read the first one in one week with 25 pages everyday. He read the second book in 12 days with 23 pages everyday. What is the total number of pages that Billy read?
123 school girls are to be transported in small vans. Each van can carry 8 girls only. What is the smallest possible number of vans that are needed to transport all 123 school girls?
John had $100 to buy drinks and sandwiches for his birhtday party. He bought 5 small boxes of drinks at $4 each box and 8 boxes of sandwiches at $6 each box. How much money was left after the shopping?
A factory produces 5500 toys per week. If the workers at this factory work 4 days a week and if these workers make the same number of toys everyday, how many toys are produced each day?
Tom, Julia, Mike and Fran have 175 cards to use in a certain game. They decided to share them equally. How many cards should each one take and how many cards are left?
The shaded shape is made of 5 congruent squares. The side of one square is 4 cm. Find the total area of the shaded shape.
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Sam, Carla and Sarah spent on afternoon collecting sea shells. Sam collected 11. If we add the number of sea shells collected by Sam and Carla, the total would be 24. If we add the number of sea shells collected by Carla and Sarah, the total would be 25 shells. How many shells did each one collect?
Mr Joshua runs 6 kilometers everyday from Monday to Friday. He also runs 12 kilometers a day on Saturday and Sunday. How many kilometers does Joshua run in a week?
Tom and Bob are brothers and they each had the same amount of money which they put together to buy a toy. The cost of the toy was $22. If the cashier gave them a change of 6$, how much money did each have?
John has 5 boxes of sweets. One group of boxes has 5 sweets in each box. The second group of boxes has 4 sweets in each box. John has a total of 22 sweets. How many boxes of each type John has?(Hint: use table)
There is a total of 16 chickens and rabbits in a farm. The total number of legs (chickens and rabbits) is equal to 50. How many chickens and how many rabbits are there?(Hint:use a table)
There are 4 more chickens than rabbits in a farm. The total number of legs (chickens and rabbits) is equal to 44. How many chickens and how many rabbits are there?(Hint:use a table)
Answers to the Above Questions
UK
Russia
7,500,148
49,839,760
Russia, Canada, USA, China, India, Uk.
432 miles
20
3075 sweets
36,500 days in one century
451 pages
16 vans (no decimal values)
$32
1375 toys per day
43 each and 3 left
80 cm squared
Sam: 11, Carla: 13 and Sarah: 12
54 kilometers
$14
2 boxes with 5 seets each and 3 boxes with 4 seets each
7 chickens and 9 rabbits
10 chickens and 6 rabbits
More Primary Math (grades 4 and 5) with Free Questions and Problems With Answers
More Middle School Math (grades 6,7,8 and 9) with Free Questions and Problems With Answers
More High School Math (Grades 10, 11 and 12) - Free Questions and Problems With Answers
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Updated: 14 March 2009 (A Dendane)
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A large box contains 18 small boxes and each small box contains 25 chocolate bars. How many chocolate bars are in the large box?
It takes John 25 minutes to walk to the car park and 45 to drive to work. At what time should he get out of the house in order to get to work at 9:00 a.m.?
Kim can walk 4 kilometers in one hour. How long does it take Kim to walk 18 kilometers?
A factory produced 2300 TV sets in its first year of production. 4500 sets were produced in its second year and 500 more sets were produced in its third year than in its second year. How many TV sets were produced in three years?
Linda bought 3 notebooks at $1.20 each; a box of pencils at $1.50 and a box of pens at $1.70. How much did Linda spend?
Tom and Bob have a total of 49 toys. If Bob has 5 more toys than Tom, how many toys does each one have?
John can eat a quarter of a pizza in one minute. How long does it take John to eat one pizza and a half?
John can eat a sixth of a pizza in two minutes. It takes 3 minutes for Billy to eat one quarter of the same pizza. If John and Billy start eating one pizza each, who will finish first?
John read the quarter of the time that Tom read. Tom read only two-fifth of the time that Sasha read. Sasha read twice as long as Mike. If Mike read 5 hours, how long did John read?
Jim, Carla and Tomy are members of the same family. Carla is 5 years older than Jim. Tomy is 6 years older than Carla. The sum of their three ages is 31 years. How old is each one them?
Mel had $35 and withdraw some more money from his bank account. He bought a pair of trousers at $34.00, two shirts at $16.00 each and 2 pairs of shoes at $24.00 each. After the shopping, he had $32.00 left. How much money did Mel withdraw from the bank?
How many minutes are in one week?
In Tim's house, a rectangular swimming pool (blue) whose length 30 meters and width 10 meters is surounded by grass (green). The pool with the grassy area make a large rectangle whose length is 50 meters and width 20 meters. What area is occupied by the grass?
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Mary wants to make a box. She starts with a piece of cardboard whose length is 15 centimeters and with is 10 centimeters. Then she cuts congruent squares with side of 3 centimeters at the four corners. What is the area of the cardboard after she cuts the 4 corners?
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A painter charges $ 225 for materials and $ 35 per hour for labour. The total cost of painting an office is $ 330. How many hours did it take the painter to paint the office?
Three toy cars and 4 toy trains cost $18. Two toy cars and 3 toy trains cost $13. What is the price of one toy car and the price of one toy train if both prices are whole numbers of Dollars? (Hint: Use a table)
Grade 5 questions on how to add fractions and mixed numbers with answers are presented. Both fractions with like and unlike denominators are considered and the use of the lowest common denominator (LCD) is demonstrated.
Example 1: Add fractions with like (same) denominators 1 2
Add the fractions ____ + ____
4 4
Solution to example 1:
When the fractions have the same denominator, we add the numerators and keep the same denominator1 2 3
____ + ____ = ____
4 4 4
Example 2: Add fractions with unlike (different) denominators.
4 2
Add the fractions ____ + ____
7 5
Solution to example 2:
step 1: Find the lowest common multiple (LCM) of the two denominators.
The LCM of 7 and 5 is 35.
step 2: Write equivalent fractions with a lowest common denominator (LCD) equal to the LCM.4 4 x 5 20
____ = ____ = ____
7 7 x 5 35
and2 2 x 7 14
____ = ____ = ____
5 5 x 7 35
step 3: Replace the given fractions by their equivalent and add the fractions with like denominator.4 2 20 14 34
____ + ____ = ____ + ____ = ____
7 5 35 35 35
step 3: Reduce the fraction if possible.
The fraction obtained above cannot be further reduced.
Example 3: Add fractions mixed numbers.
2 5
Add the mixed numbers3 ____ + 2 ____
3 7
Solution to example 3:
step 1: Add the whole numbers 3 + 2 = 5
step 2: Find the LCD, equivalent fractions with common denominator and add the fractions.2 5 14 15 29
____ + ____ = ____ + ____ = ____
3 7 21 21 21
step 3: Reduce and write the fraction as a mixed number if possible.29 8
____ = 1 ____
21 21
step 4: Add the whole number obtained in step 1 and the mixed number obtained in step 3 8 8
5 + 1 ____ = 6 ____
21 21
Questions with answers: Add and reduce if possible the following fractions and mixed numbers.
1. 1 3
______ + ______
5 5
2. 3 4
______ + ______
5 7
3. 3
7 ______ + 3
5
4. 2 9
4 ______ + 2 ______
3 11
n the questions below, Lowest Common Multiple is written as LCM.
Find the first 4 multiples of each number.
2
3
5
7
10
Find the LCM of each pair of numbers.
2 , 5
4 , 5
7 , 5
12 , 6
Find the LCM of each triplet of numbers.
2 , 3 , 12
4 , 5 , 20
5 , 6 , 10
3 , 6 , 7
Find two numbers smaller than 10 and have an LCM equal to 20.
Find tow numbers that have an LCM equal to 18 and their sum is equal 9.
3 balls rotate along a circular track. Ball A makes one full rotation in 6 seconds. Ball B makes 9 seconds and ball C makes 12 seconds. If the three balls start rotating from the same point and at the same time now, after how many seconds will they all be at the same point again?
3 bulbs are used to make a flashing game. Bulb A flashes every 5 seconds. Bulb B flashes every 10 seconds and bulb C flashes every 25 seconds. If the game is switched on now, in how many seconds will all three bulbs flash at the same time?
Answers to the Above Questions
2 : 2,4,6,8
3 : 3,6,9,12
5 : 5,10,15,20
7 : 7,14,21,28
10 : 10,20,30,40
2 , 5 : 10
4 , 5 : 20
7 , 5 : 35
12 , 6 : 12
2 , 3 , 12 : 12
4 , 5 , 20 : 20
5 , 6 , 10 : 30
3 , 6 , 7 : 42
(4,5)
(3,6)
36 seconds
50 seconds
