6th Standard CBSE Syllabus & Materials
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Published on: 31/12/2018
Class 6 Unit Test
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Questions + Answers key
Take MCQ Mathematics Test
1.
With ruler and compasses, we can bisect any given line segment.
2.
16 : 24 : : 20 : 30
3.
If a number is divisible by 9, it must be divisible by 3.
4.
If m\(\angle A\) = 53° and m \(\angle B\) = 35°, then m \(\angle A\) > m \(\angle B.\)
5.
The whole number 13 lies between 11 and 12.
6.
I walked \(5\frac { 1 }{ 2 } \)km by bicycle and then \(3\frac { 1 }{ 2 } \)km on foot. How much did more distance I walk by bicycle?
7.
Write all the prime numbers between 20 and 35
8.
Which one is greater 200 + 7 + \(\frac { 2 }{ 10 } +\frac { 4 }{ 1000 } \) or 207.24?
9.
What is a line of symmetry?
10.
Find the areas of the squares whose sides are 10cm
11.
Solve the following equation for x.
2x+ 5= 25
12.
In the given figure, if PR 丄SQ, then name all the right angles.
13.
Write in the Hindu-Arabic numerals for the following CXCIX
14.
Using the number line write the integer, which is 6 less than 2
15.
Write the three immediate successors of 3956.
16.
3 sides of equal length
17.
1 obtuse angle
18.
1 right angle
19.
Reflex angle
20.
Obtuse angle
21.
Ratio of 5 paise to 25 paise is the same as the ratio of 20 paise to ______________
22.
An angle having degree measure as 90° is called ___________.
23.
\(\frac{5}{17}+\frac{11}{17}\)is equal to ______ .
24.
If a line segment of length 5 cm is reflected in a line of symmetry (mirror), then its reflection (image) is a line of length _______
25.
A number for which the sum of all its factors is equal to twice the number is called a ________________number.
26.
Representation of data in form of pictures is called ___________.
27.
An triangular prism has ______ rectangular lateral faces.
28.
The additive inverse of 0 is ___________
29.
A quadrilateral has______sides.
30.
300 is the predecessor of ____________.
31.
Fill the entries in the blanks left:
| Number | TLakh | Lakh | TTh | Th | H | T | O | Number Name |
| 7,34,543 | - | 7 | 3 | 4 | 5 | 4 | 3 | Seven lakh thirty four thousand five hundred forty three. |
Expansion:
...................
32,75,829
3 x 10,00,000 + 2 x 1,00,000 + 7 x 10,000 + 5 x 1000 + 8 x 100 + 2 x 10 + 9
32.
Meenakshi wants to give return gifts to her 13 friends. If three gifts cost Rs.75, how much she has to pay to buy gifts for her friends?
33.
Write down the operations which are used in forming the following expressions 5+ 7x
34.
Which of the following pairs of number are co-primes?
30,415
17,68
16,81
15,100.
35.
The side of a regular hexagon is I. Its perimeter is
I
3l
2l
6l.
36.
Observe the following bar graph and answer the related questions:
How many parties won less than 60 seats?
2
3
5
4
37.
Find the cost of fencing a rectangular park of length 10 m and breadth 5 m at the rate of Rs. 10 per metre.
Rs.300
Rs.600
Rs.150
Rs.1200
38.
Which of the following statements is true?
Every positive integer is larger than every negative integer.
Zero is greater than every positive integer.
Zero is smaller than every negative integer.
Farther a number from zero to the right, smaller is its value.
39.
The shape
is of
triangular prism
pyramid
cuboid
cylinder.
40.
The smallest 4-digit number that can be made using the digits 1, 8, 5, 3 without repetition is
1583
1538
1385
1358
41.
The number 10 cannot be shown as a
square
rectangle
line
triangle.
42.
23.564 correct to the tenths place is
21
23.55
23.6
23.76
43.
Sum of \(\frac{4}{17}\) and \(\frac{15}{17}\) is
\(2\frac{1}{17}\)
\(1\frac{2}{17}\)
\(3\frac{1}{17}\)
\(3\frac{2}{17}\)
44.
Along with your friends, think of five more situations where we can have data. For this data, construct the tables and represent them using bar graphs.
45.
A merchant has 120 L of oil of one kind, 180 L of another kind and 240 L of a third kind. He wants to sell the oil by filling the three kinds of oil in tins of equal capacity. What should be the greatest capacity of such tin?
46.
Write five improper fractions with denominator 7.
47.
State which of the following are equations (with a variable). Give reason for your answer. Identify the variable from the equations with a variable
2m < 30
48.
Get 100 using four 9's and some of the symbols like +, ÷ x, etc.
49.
Is there any other alphabet which illustrates perpendicularity?
50.
Which is the smallest number?
1.
(a)
2.
(a)
3.
(a)
4.
(a)
5.
(b)
6.
\(5\frac { 1 }{ 2 } -3\frac { 1 }{ 2 } =\frac { 5\times 2+1 }{ 2 } -\frac { 3\times 2+1 }{ 2 } \)
=\(\frac { 11 }{ 2 } -\frac { 7 }{ 2 } =\frac { 11-7 }{ 2 } =\frac { 4 }{ 2 } =2\)
Hence, I walked 2 km more by bicycle.
7.
Prime numbers between 20 and 35 = 23,29,31
8.
We have,
200 + 7 + \(\frac { 2 }{ 10 } +\frac { 4 }{ 1000 } =207.204\)
\(\therefore\) 207.24 > 207.204
Hence, 207.24 is greater.
9.
A line along with a figure can be divided into two identical parts is called its line of symmetry.
10.
Here, side of the square = 10 cm
∴ Area of square = Side \(\times\) Side = 10 cm \(\times\) 10 cm
= 100 sq cm
Hence, the area of the square is 100 sq cm.
11.
Given, equation is 2x + 5 = 25
∴ 2x=25-5 ⇒ 2x=20 ⇒ x=\(\frac{20}{2}\)⇒x=10
Hence, the value of x is 10.
12.
The right angles in the given figure are \(\angle POQ, \angle QOR, \angle ROS, \angle SOP.\)
13.
199
14.
To get the integer 6 less than 2, we start from 2 and move 6 steps to the left of 2 and reach at -4, asshown in the figure given below:
Hence, 6 less than 2 is -4.
15.
Given number is 3956.
So, three immediate successors of 3956 are 3957, 3958 and 3959.
16.
( )
Equilateral
17.
( )
Obtuse angled
18.
( )
Right angled
19.
( )
More than half of a revolution
20.
( )
Between \(\frac { 1 }{ 4 } \) and \(\frac { 1 }{ 2 } \) of a revolution
21.
( )
100
22.
( )
right angle
23.
( )
We have, \(\frac{5}{17}+\frac{11}{17}=\frac{5+11}{17}=\frac{16}{17}\)
24.
( )
5 cm
25.
( )
Perfect Number
26.
( )
Pictograph
27.
( )
3
28.
The additive inverse of 0 is 0.
29.
( )
four
30.
Here, we will find successor of 300, 300 + 1 = 301
So, 300 is the predecessor of 301.
31.
| Number | TLakh | Lakh | TTh | Th | H | T | O |
| 7,34,543 | - | 7 | 3 | 4 | 5 | 4 | 3 |
| Number Name | Expansion |
| Seven lakh thirty four thousand five hundred forty three |
7 x 1,00,000 + 3 x 10,000 + 4 x 1000 + 5 x 100 + 4 x 10 + 3 |
32,75,829 3 2 7 5 8 2 9
Thirty two lakh seventy five thousand eight hundred twenty nine - 3 x 10,00,000 + 2 x 1,00,000 + 7 x 10,000 + 5 x 1000 + 8 x 100 + 2 x 10 + 9.
32.
Rs.325
33.
Multiplication and addition
34.
(c)
16,81
35.
(d)
6l.
36.
(c)
5
37.
Cost = 10 x 2 x (10 + 5) = Rs. 300
38.
(a)
Every positive integer is larger than every negative integer.
39.
(a)
triangular prism
40.
(d)
1358
41.
(a)
square
42.
(c)
23.6
43.
(b)
\(1\frac{2}{17}\)
44.
Five more situations are as follows:
1. In a school in class 6, the number of students coming in working days is shown below:
| Working days | Number of students |
|---|---|
| Monday | 50 |
| Tuesday | 45 |
| Wednesday | 40 |
| Thursday | 45 |
| Friday | 50 |
| Saturday | 40 |
2. The marks obtained by Meenu in different subjects in annual examination are shown below:
| Subjects | Marks obtained |
|---|---|
| Mathematics | 80 |
| Science | 70 |
| English | 60 |
| Hindi | 50 |
| Social Science | 60 |
3. The weights of five students are shown below:
| Students | Weight (in kg) |
|---|---|
| A | 40 |
| B | 30 |
| C | 35 |
| D | 30 |
| E | 40 |
4. The heights of five girls are shown below:
| Girls | Height (in cm) |
|---|---|
| A | 150 |
| B | 140 |
| C | 130 |
| D | 120 |
| E | 140 |
5. The monthly pocket expenditure of Manish during an year is shown below:
| Months | Pocket expenditure (in Rs) |
|---|---|
| January | 500 |
| February | 400 |
| March | 300 |
| April | 350 |
| May | 400 |
| June | 600 |
| July | 200 |
| August | 150 |
| September | 400 |
| October | 350 |
| November | 300 |
| December | 300 |
1. Bar graphs for solution 1 to 5 are as follows:
2
3.
4.
5.
45.
Given, merchant have 120 L of oil one kind, 180 L of another kind and 240 L of a third kind.
The required capacity of a tin will be HCF of 120, 180 and 240
HCF of 120 and 180 is 60.
Now, we find the HCF of 60 and 240
The HCF of 60 and 240 is 60.
Hence, HCF of 120, 180 and 240 is 60.
\(\therefore\) The required capacity of a tin = 60 L
46.
( )
Required fractions are \(\frac { 8 }{ 7 } ,\frac { 9 }{ 7 } ,\frac { 10 }{ 7 } ,\frac { 11 }{ 7 } \)and \(\frac { 12 }{ 7 } \)
47.
( )
Is not an equation LHS ≠ RHS : It has no sign of equality (=)
48.
( )
99+\(\frac{9}{9}\) =100
49.
( )
Yes.L.
50.
( )
The smallest number is 3578.
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