Th Grade Math Problems With Answers
Question 1 :
What is the smallest number by which 256 may be divided so that the quotient is perfect cube?
2 3 4
Solution :
To find the number required to divide 256 such that the quotient is a perfect cube, we have to decompose 256 into prime factors.
|
= 256 When we group the prime factors inside the cube root as triples, we left over with 2 2. That is 4. Hence 4 is the smallest number required to divide 256 so that the quotient is a perfect cube. |
Question 2 :
How many digits are there in the square root of 4456321?
2 digits 4 digits 3 digits
Solution :
Square root of 1 digit and 2 digit number contains 1 digit.
Square root of 3 and 4 digit number contains 2 digits.
Square root of 5 and 6 digit number contains 3 digits.
Square root of 7 and 8 digit number contains 4 digits.
So, the square root of the given number has 4 digits.
Question 3 :
Find the value of 3×3 – 4×2 + x – 5 when x = -3
-54 -71 -32
Solution :
Let f = 3×3 – 4×2 + x – 5
x = – 3
f = 33 – 42 + – 5
= 3 – 4 – 3 – 5
= -17
Question 4 :
The perimeter of a rectangle is 52 cm. If its width is 2 cm more than one-third of its length, find the dimensions of rectangle.
12 cm x 4 cm 18 cm x 8 cm 15 cm x 9 cm
Solution :
Perimeter of a rectangle = 52 cm
2 = 52 ==> l + w = 26
Let x be the length
width = + 2
So, the required dimension is 18 cm x 8 cm.
Question 5 :
What must be added to each of the numerator and the denominator of the fraction 7/11 to make it equal to 3/4
9 5 12
Solution :
/ = 3/4
4 = 3
4x – 3x = 33 – 28
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Th Grade Mathematics Worksheets
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Looking for free printable Math worksheets and exercises to help your 8th-grade students prepare for the 8th Grade Mathematics test?
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IMPORTANT: COPYRIGHT TERMS: These worksheets are for personal use. Worksheets may not be uploaded to the internet in any form, including classroom/personal websites or network drives. You can download the worksheets and print as many as you need. You have permission to distribute the printed copies to your students, teachers, tutors, and friends.
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These lessons cover some examples and solutions for algebra word problems that you will commonly encounter in grade 8.
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Example:Devon is going to make 3 shelves for her father. He has a piece of lumber 12 feet long. She wants the top shelf to be half a foot shorter than the middle shelf, and the bottom shelf to be half a foot shorter than twice the length of the top shelf. How long will each shelf be if she uses the entire 12 feet of wood?
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Example:
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Example 1:The sum of two numbers is 361 and the difference between the two numbers is 173. What are the two numbers?
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Example 3:A family member has some five-dollar bills and one-dollar bills in their wallet. Altogether she has 18 bills and a total of $62. How many of each bill does she have?
Exercises:
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Check Your Childs Understanding For Solving Basic Equations
Solving equations is the core of 8th-grade algebra. Students start by learning to solve simple linear equations with just one variable, such as 35 = 4x + 7. If students have not had a solid foundation in learning how to solve equations, then this sort of equation may be challenging for them.
The key to teaching your child how to solve equations is to think of the problem like a balance: each side has to remain balanced and the equal sign is the pivot. In order to determine what the variable is, you need to add, subtract, multiply or divide to get rid of the numbers surrounding the variable. However, because it is a balance, whatever you do to one side of the equal sign, you have to do to the other.
So, in the example 35 = 4x + 7, you would begin by subtracting the seven from both sides of the equal sign. This gives you 28 = 4x. To solve for x, you then need to divide both sides by 4.
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Worksheet No 1 Solutions
: Worksheet No. 1 Solutions
To solve the first problem on the worksheet, set it up as follows:
Let “P” represent the variable for “puck”
Let “S” represent the variable for “stick”
So, 5P + 3S = $23, and 5P + 1S = $20
Then, subtract one equation from the other :
5P + 3S – = $23 – $20.
Thus:
5P + 3S – 5P – S = $3. Subtract 5P from each side of the equation, which yields: 2S = $3. Divide each side of the equation by 2, which shows you that S = $1.50
Then, substitute $1.50 for S in the first equation:
5P + 3 = $23, yielding 5P + $4.50 = $23. You then subtract $4.50 from each side of the equation, yielding: 5P = $18.50.
Divide each side of the equation by 5 to yield:
P = $3.70
Note that the answer to the first problem on the answer sheet is incorrect. It should be $3.70. The other answers on the solution sheet are correct.