6th grade math is like a combination of different math topics and an indicator of things to come as you progress further up. It’s a good idea to get thorough with the math you learn in 6th grade as there are basics you won’t be able to do without. Practicing problems is the best way to learn and online resources now give students plenty of practice material to work on. Find 6th grade math problems with answers online and use them to learn and practice math.

## 6th Grade Math Problems with Answers

## Solved Examples

**Question 1:**Solve for x, $(x - 1)^\frac{3}{2}$ = 125

**Solution:**

Given $(x - 1)^\frac{3}{2}$ = 125

Factors of 125

125 = 5 * 5 * 5 = 5

=> $(x - 1)^\frac{3}{2}$ = 5

On squaring both side, we have

=> $(x - 1)^{\frac{3}{2} * 2} $ = (5

=> $(x - 1)^3$ = 5

Taking cube root of both sides

=> $((x - 1)^3)^\frac{1}{3}$ = $(5^6)^\frac{1}{3} $

=> x - 1 = 5

=> x - 1 = 25

=> x = 25 + 1

=> x = 26.

Step 1:Step 1:

Factors of 125

125 = 5 * 5 * 5 = 5

^{3}

Step 2:Step 2:

=> $(x - 1)^\frac{3}{2}$ = 5

^{3}On squaring both side, we have

=> $(x - 1)^{\frac{3}{2} * 2} $ = (5

^{3})^{2 }=> $(x - 1)^3$ = 5

^{6}[ (x^{m})^{n}= x^{mn}]^{ }

Step 3:Step 3:

Taking cube root of both sides

=> $((x - 1)^3)^\frac{1}{3}$ = $(5^6)^\frac{1}{3} $

=> x - 1 = 5

^{2}=> x - 1 = 25

=> x = 25 + 1

=> x = 26.

**answer****Question 2:**There were 120 questions on the math exam. Bravo got 65% of them right. How many questions did he get right.

**Solution:**

Let number of questions Bravo got right = x

Total number of the questions in the exam = 120

He got 75 % of the total.

The number of question Brovo got right

=> $\frac{Number\ of question \ Brovo \ got \ right}{Total \ number \ of \ question} = \frac{65}{100}$

=> $\frac{x}{120} = \frac{65}{100}$

=> 100 * x = 65 * 120

=> x = $\frac{65 * 120}{100}$

=> x = $\frac{5 * 13 * 2 * 2 * 2 * 3 * 5}{2 * 2 * 5 * 5}$

=> x = 2 * 3 * 13

=> x = 78

Hence Brovo got 78 questions right.

**Step 1:**Total number of the questions in the exam = 120

He got 75 % of the total.

The number of question Brovo got right

=> $\frac{Number\ of question \ Brovo \ got \ right}{Total \ number \ of \ question} = \frac{65}{100}$

=> $\frac{x}{120} = \frac{65}{100}$

**Step 2:**

Solve for x,**$\frac{x}{120} = \frac{65}{100}$**

=> 100 * x = 65 * 120

=> x = $\frac{65 * 120}{100}$

=> x = $\frac{5 * 13 * 2 * 2 * 2 * 3 * 5}{2 * 2 * 5 * 5}$

=> x = 2 * 3 * 13

=> x = 78

Hence Brovo got 78 questions right.

**answer****Question 3:**Find the area of a circle with a diameter 12 inches and round the answer to the nearest tenth of an inch.(use $\pi$ = 3.14).

**Solution:**

Given:

Diameter of the circle = 12 in.

then radius of the circle = $\frac{12}{2}$ = 6 in

[ Radius = $\frac{Diameter}{2}$ ]

[ Area of circle = $\pi$ r

=> Area of circle = $\pi$ (6)

= 3.14 * 36

Area of circle = 3.14 * 36

= 113. 04

or 113.0(approx)

=> Area of the circle = 113 square inches.

Diameter of the circle = 12 in.

then radius of the circle = $\frac{12}{2}$ = 6 in

[ Radius = $\frac{Diameter}{2}$ ]

Step 1:Step 1:

[ Area of circle = $\pi$ r

^{2}, r = radius ]=> Area of circle = $\pi$ (6)

^{2}= 3.14 * 36

Step 2:Step 2:

Area of circle = 3.14 * 36

= 113. 04

or 113.0(approx)

=> Area of the circle = 113 square inches.