# 6th Grade Math Worksheets 8

In this page 6th grade math worksheets 8 , you will find 10  questions in various topics of math.  You may try each questions on your own and you may check the answer immediately by using the submit button. This question paper will be in the form of quiz.

## Advantages of 6th grade math worksheets 8

On this webpage, we give 6th grade math worksheets 8 online test  which can be taken by any one without any login credentials. At the end of the test,  students can check their score instantly and also they can view detailed answer for all the questions. We hope, this online practice test will be a great boost for the students. We give detailed solution for every question of this worksheet. If you find it difficult to do any problem,please click the link view solution for each question. You will get detailed solution.

1. The sum of numbers divisible by 7 between 50 and 100 ?

(A) 539

(B) 600

(C) 425

2. A bag contains red, green and blue balls. The total number of balls is 80. If 60% of the total balls are blue, what is the probability of taking a blue ball?

(A) 1/6

(B) 5/8

(C) 3/5

3. Square root of 2 is

(A) Rational

(B) Irrational

(C) Real

4. The distance between A to B is 5 cm, B to C is 6 cm, C to D is 9 cm, D to E is 12 cm, E to F is 6.5 cm and F to G is 4.8 cm. Then,what is the distance between B to F?

(A) 30.4 cm

(B) 33.5 cm

(C) 12.5 cm

5. The greatest common factor of x ² y ² z ²,x ² y z ² and x y z ² is

(A) xy2z2

(B) xy2z

(C) xyz2

6. The sum of a number and its square is 90. Find the required numbers.

(A) 9 and 81

(B) 45 and 45

(C) 20 and 70

7. In how many ways can five people sit in a round table?

(A)60

(B) 150

(C) 120

8. If two dice are rolled, what is the probability of getting same number on both the dies?

(A) 1/2

(B) 1/3

(C) 1/6

9.  Compare 4/5 and 5/6

(A)(5/6) < (4/5)

(B) (5/6) > (4/5)

(C) (5/6) = (4/5)

10. The value of 25 factorial times 24 factorial is

(A)24! x 24!

(B) 25(24!)2

(C) 23(24!)

jQuery UI Accordion - Default functionality

1. 539
2. 3/5
3. irrational
4. 33.5
5. xyz2
6. -10 or 9
7. 24
8. 1/6
9. (5/6) > (4/5)
10. 25(24!)2

 Explanation for question No 1 jQuery UI Accordion - Default functionality .ui-widget-overlay,.ui-state-disabled,ui-button{background:#fff;border:1px solid #fff;color:#b9cd6d;font-weight:bold} Numbers which are divisible by 7 between 50 and 100 are 56,63,70,77,84,91,98. Now we have to find the sum of these numbers For that we have to add these numbers 56 + 63 + 70 + 77 + 84 + 91 + 98 = 539 So the correct answer for this question is 539 option A Explanation for question No 2 jQuery UI Accordion - Default functionality .ui-widget-overlay,.ui-state-disabled,ui-button{background:#fff;border:1px solid #fff;color:#b9cd6d;font-weight:bold} Total number of balls n (S)= 80 60% of the total balls are blue Number of blue balls = 60% of 80             = (60/100)x80             = (4800/100)             = 48 Let "A" be the event of getting blue balls n (A) = 48 Probability of getting blue balls = n(A)/n(S)                         = 48/80                         = 3/5 So the correct answer for this question is 3/5 option A Explanation for question No 3 jQuery UI Accordion - Default functionality .ui-widget-overlay,.ui-state-disabled,ui-button{background:#fff;border:1px solid #fff;color:#b9cd6d;font-weight:bold} Let √2 be rational Since √2 is rational we shall write it as fraction √2 = a/b taking squares on both sides = 2 = a2/b2 2b2 = a2 2 divides a2 2 divides a let a = 2 c 2b2 = (2c)2 2b2 = 4c2 c2 = 2b2/4 c2 = b2/2 2 divides b from this we come to know that and b are having common factor 2 other than 1. So we shall decide that a/b is not rational number.It is irrational. √2 is irrational So the correct answer for this question is irrational option B Explanation for question No 4 jQuery UI Accordion - Default functionality .ui-widget-overlay,.ui-state-disabled,ui-button{background:#fff;border:1px solid #fff;color:#b9cd6d;font-weight:bold} Let us draw a picture for the above information From this we need to find the distance between the points B and F BF = BC + CD + DE + EF BC = 6 cm CD = 9 cm DE = 12 cm EF = 6.5 cm BF = 6 + 9 + 12 + 6.5 BF = 33.5 cm So the correct answer for this question is 33.5 option B Explanation for question No 5 jQuery UI Accordion - Default functionality .ui-widget-overlay,.ui-state-disabled,ui-button{background:#fff;border:1px solid #fff;color:#b9cd6d;font-weight:bold} x2 y2 z2,x2 y z 2, x y z 2 To find GCF, we have to select the common terms only GCF = x y z2 So the correct answer for this question is x y z2 option C Explanation for question No 6 jQuery UI Accordion - Default functionality .ui-widget-overlay,.ui-state-disabled,ui-button{background:#fff;border:1px solid #fff;color:#b9cd6d;font-weight:bold} Let x be the required number and x2 be its square x + x 2 = 90 x + x 2 - 90 = 0 (x + 10) (x - 9) = 0 x + 10 = 0 x - 9 = 0 x = -10 x = 9 Therefore the required numbers are 9 and 81 So the correct answer for this question is 9 and 81 option A Explanation for question No 7 jQuery UI Accordion - Default functionality .ui-widget-overlay,.ui-state-disabled,ui-button{background:#fff;border:1px solid #fff;color:#b9cd6d;font-weight:bold} Let A,B,C,D and E are the names of the seats in the round table So the arrangements will be in the form ABCDE,BCDEA,CDEAB,............. Total number of ways = 5 ! 5! = 5 x 4 x 3 x 2 x 1 = 120 To find the number if ways So the correct answer for this question is 120 option C Explanation for question No 8 jQuery UI Accordion - Default functionality .ui-widget-overlay,.ui-state-disabled,ui-button{background:#fff;border:1px solid #fff;color:#b9cd6d;font-weight:bold} Sample space S = {{1,1)(1,2)(1,3)(1,4)(1,5) (1,6)       = {2,1)(2,2)(2,3)(2,4)(2,5) (2,6)       = {3,1)(3,2)(3,3)(3,4)(3,5) (3,6)       = {4,1)(4,2)(4,3)(4,4)(4,5) (4,6)       = {5,1)(5,2)(5,3)(5,4)(5,5) (5,6)       = {6,1)(6,2)(6,3)(6,4)(6,5) (6,6)} n(S) = 36 Let A be the event of getting the same number on both the dies A = {(1,1)(2,2)(3,3)(4,4)(5,5)(6,6)} n(A) = 6 probability of getting the same number on both dies = n(A)/n(S) = 6/36 = 1/6 So the correct answer for this question is 1/6 option C Explanation for question No 9 jQuery UI Accordion - Default functionality .ui-widget-overlay,.ui-state-disabled,ui-button{background:#fff;border:1px solid #fff;color:#b9cd6d;font-weight:bold} To compare these fractions,first we have to consider the denominators. Since the denominators are not same,first we have to make the denominators same. L.C.M of 5 and 6 = 30      = (4/5)x (6/6)      = (24/30)      = (5/6)x (5/5)      = (25/30) Therefore 4/5 is less than 5/6 So the correct answer for this question is (5/6) > (4/5) option B Explanation for question No 10 jQuery UI Accordion - Default functionality .ui-widget-overlay,.ui-state-disabled,ui-button{background:#fff;border:1px solid #fff;color:#b9cd6d;font-weight:bold} We shall write 25 ! as 25 x 24 x 23 x 22 x 21 x .........x 1 Instead of writing 25 x 24 x 23 x ........x 1 as 25 x 24 ! = 25(24!)2 So the correct answer for this question is 25(24!)2 option B 