Free Integers 02 Practice Test - 6th grade
Question 1
The temperature of different cities are as follows:
Delhi36∘CKolkata24∘CBangalore20∘CPatna2∘CShillong−2∘CSrinagar0∘C
Which city is the coolest?
SOLUTION
Solution : D
The city with the least temperature is the coolest city. Among the given numbers 36 > 24 > 20 > 2 > 0 > -2 .
Hence, the city with least temperature is Shillong i.e.,−2∘C.
Question 2
If we are at (-7) on the number line and go 9 units to the right, we would reach _____ number on the number line.
SOLUTION
Solution : A
In the number line when we move towards right, the value increases.
Consider that we are at (-7) on the number line. If we go 9 units to the right then, we will reach 2 i.e. (-7) + 9 = 2 .
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Question 3
Arrange in ascending order:
-1, -11 , 111 , -111 , 11 , 0 , 1
-1 , -11 , 111 , -111 , 11 , 0 , 1
-111 , -11 , -1 , 0 , 1 , 11 , 111
-1 , 11 , 111 , -111 , -11 , 0 , 1
1, -11 , -111 , 111 , 11 , 0 , -1
SOLUTION
Solution : B
When considering negative numbers, the bigger the number, smaller is its value.
So, -111 is less than -11.
Similarly, -11 is less than -1.
Hence, among the given numbers, -111 is the smallest and 111 is the biggest number.
Ascending order of numbers is the arranging of numbers from smallest to largest.So, the given numbers in ascending order is -111, -11, -1, 0, 1, 11, 111.
Question 4
The greatest negative integer is ____ and the smallest positive integer is _____.
+1 and -1
-1 and +1
-1 and -1
+1 and +1
SOLUTION
Solution : B
Observe a number line.
In negative numbers, as magnitude increases, value decreases.
Therefore, the largest negative integer is -1.
Similarly, in positive numbers, as magnitude increases, value increases.
Therefore, the smallest positive integer is 1.
Question 5
Which of the following integers are less than -9?
0, -1 ,-11 ,9 ,-9 ,99 ,-99 ,999 ,-999
-8, -7, -6, -5, -4, -11, -12, -13, -14
100, 1010,11, 1, 12, 122, 1222, 121212, 3
-11, -12, -151, -121, -11111, -12121212, -1345, -1111123
SOLUTION
Solution : D
-10,-11,-12,-13,-14,,-15,-16,-17,-18,-19,-20.......and so on are less than -9.
Hence, from the given options
-11, -12, -151, -121, -11111, -12121212, -1345, -1111123 are all less than -9.
Question 6
Five negative integers greater than -10 are:
-11, -12, -13, -14, -15
-9, -8, -7, -11, -12
-6, -5, -4, -3, -2
0, 1, 2, 3, -14, -13
SOLUTION
Solution : C
-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6............ and so on, are greater than -10.
Question 7
The figure below represents a vertical number line. Which number does the point 'F' represent ?
SOLUTION
Solution : C
In a vertical number line, the numbers above 0 are positive and the numbers below zero are negative.
Given, point D = +8. We can conclude that each division is 1 unit.
Point F is also 8 units away from '0' and below zero.
Hence the number represented by the point F is -8.
Question 8
Which of the following integer does not lie between -8 and +6 ?
SOLUTION
Solution : B
The integers that lie between -8 and +6 are -7, -6, -5, -4, -3, -2 , -1, 0, 1, 2, 3, 4.
Hence from the given options, we can see that +7 does not lie between -8 and +6.
Question 9
Statement 1: Zero is a positive number
Statement 2: Zero is a negative number
Statement 1 is true and Statement 2 is false
Statement 1 is false and Statement 2 is true
Both the statements are false
Both the statements are true
SOLUTION
Solution : C
Zero is the only number which is neither positive nor negative.
Question 10
Fill in the blanks:
Farther a number is from 0 on the right, _____ is its value.
Farther a number is from 0 on the left, _____ is its value.
larger, smaller
smaller, larger
no change, smaller
larger, no change
SOLUTION
Solution : A
As you move towards the right on the number line, the value increases and as you move towards the left on the numberline, the value decreases.
Hence,
farther a number is from 0 on the right, larger is its value.
Farther a number is from 0 on the left, smaller is its value.