In this page 6th grade math worksheets 7 , 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.
On
this webpage, we give 6th grade math worksheets 7 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 value of (1/2!) – (3/3!)
2. The angle between “x” and “y” axes on any graph sheet is
3. John is two years younger to Jack. Jack is 3 years elder to Kevin. If Kevin is 35 years old, how old is John?
4. What is the probability of getting three heads when four fair coins are tossed once?
5. Find the area of a sector whose perimeter is 110 cm and radius 20 cm.
6. Mr. Roy sells shirt for $24 and he gets profit of $4. What is the percentage of profit?
7. If 2,a,3,6 are in proportion, then the value of “a” is
8. What is the value of 5 + 3 ?
9. You have two lands to buy at the same cost. One is in square shape with the side length of 40 ft. The other one is in rectangle shape with the length 30 ft and width 50ft. Which is better deal?
10. Find the distance between the two places A and B
Explanation for question No 1 
= (1/2!) – (3/3!)
= (1/2 x 1) – (3/3 x 2 x 1) = (1/2) – (1/2) = 0 So the correct answer for this question is 0 option C 
Explanation for question No 2 
The angle between “x” and “y” axes on any graph sheet is 90 °
So the correct answer for this question is 90 ° option C

Explanation for question No 3 
John's age is compared with Jack's age,
Jack's age is compared with Kevin's age. Kevin's age = 35 Jack's age = 35 + 3 = 38 years John's age = 38  2 = 36 years So the correct answer for this question is 36 years option C 
Explanation for question No 4 
Sample space S = {HHHH,HHHT,HHTH,HTHH,THHH,HHTT,HTHT,HTTH,THTH,TTHH,THHT,
HTTT,THTT,TTHT,TTTH,TTTT}
n(S) = 16 Let "A" be the event of getting three heads. A = {HHHT,HHTH,HTHH,THHH} n (A) = 4 P(A) = n(A)/n(S) = 4/16 = 1/4 The probability of getting three heads when four coins are tossed = 1/4 So the correct answer for this question is 1/4 option C 
Explanation for question No 5 
Perimeter of the sector = 110 cm
radius of the sector = 20 cm From this we need to find the area of the sector L + 2 r = 110 L + 2 (20) = 110 L + 40 = 110 L = 110  40 L = 70 cm Area of sector = Lr/2 = 70 (20)/2 = 70(10) = 700 cm^{2} So the correct answer for this question is 700 cm^{2} option B 
Explanation for question No 6 
Selling price of shirt = $ 24
profit = $ 4 Cost price = selling price profit Cost price = 24  4 = 20 Profit percentage = (profit/cost price) x 100 = = (4/20) x 100 = = (1/5) x 100 = = 20 % So the correct answer for this question is 20 % option B 
Explanation for question No 7 
Since 2,a,3,6 are in proportion
We have a formula,that is Product of extremes = product of means 2 x 6 = a x 3 12 = 3 a a = 12/3 a = 4 So the correct answer for this question is 4 option C 
Explanation for question No 8 
The symbol of two numbers are not same.
To simplify this we have to subtract the small number from large number and we have to put the greater number symbol 5 + 3 = 2 So the correct answer for this question is 2 option C 
Explanation for question No 9 
To find which deal is better,we have to find the area of two different lands separately.
Area of square land = a ^{2} = (40) ^{2} = 1600 sq.ft Area of rectangular land = length x breadth = 30 x 50 = 1500 sq.ft From this, we come to know that the area of square land is larger than the area of rectangular land So the square deal is better So the correct answer for this question is square deal option B 
Explanation for question No10 
Distance between two points = √ (x_{2}  x_{1})^{2} + (y_{2}  y_{1})^{2}
Since the two points are in xaxis,the y coordinate value will be 0.
A (3,0) B(3,0) Distance between AB = √(3+3)^{2}+(00)^{2} = √36 = 6 units So the correct answer for this question is 6 units option B 