CBSE Class 7 Mathematics Integers Worksheet

Question. A point P is shown on the number line: Starting from P, if you moved 5 units to the right and then 7 units to the left on this line, where would you end up?

(a) Between 0 and 1.
(b) At -7.
(c) Between -3 and -4.
(d) Between -4 and -5.

Answer : C

Question. In a “Sudoku” puzzle, a grid has to be filled with digits in such a manner that every row, every column and every 3 x 3 box contains EACH DIGIT from 1 to 9, without repeating any. The question is based on Sudoku Puzzle. Shown below are two Sudoku grids - one filled (Grid 1) and one partly filled (Grid 2).   
Which one is the correct filling for the 

Answer : C

Question. Radha has 2 ribbons of length 2.25 m and 1.8 m. She wants to cut each ribbon into smaller pieces in such a way that all the pieces are of equal length and both the ribbons are of the following could be the length of the smaller pieces?
(a) 25 cm
(b) 30 cm
(c) 45 cm
(d) 50 cm

Answer : C

Question. What percentage of triangle LMN is shaded?

(a) 33.30%
(b) 37.50%
(c) 45%
(d) 60%

Answer : B

Question. 12- (2+2×3)/2 equals
(a) 8
(b) 6
(c) 2
(d) 0

Answer : A

Question. A number increased by one-fourth of itself gives 100. The number is
(a) 50
(b) 75
(c) 80
(d) 125

Answer : C

Question. What is 1 + 2 x 3 ÷  4?
(a) 2
(b) 2+ (1/4)
(c) 5/2
(d) 2/5

Answer : C

Question. Which of the following is true about 202% of a given number?
(a) It is greater than double the given number.
(b) It is about 200 times the given number.
(c) It is 202 more than the given number.
(d)   It is about half the given number

Answer : A

Question. Ameena's teacher gives her a strip of paper and tells her to colour it green, yellow and red in this way. Half of the strip should be coloured Green. One third of the strip should be coloured Yellow. The rest of the strip should be coloured Red. Which of the following ways of dividing the strip would be appropriate for this colouring?

Answer : B

Question. What is the ratio of the SHADED  squares to  the UNSHADED   squares  in the figure shown.

(a) 09:28
(b) 02:07
(c) 02:05
(d) 07:02

Answer : B

Question. 87 hundredths is a number lying between?
(a) 0 and 1
(b) 1 and 10
(c) 10 and 100 
(d) 100 and 1000

Answer : A

Question. A sports teacher had 1026 sweets. After distributing these equally amongst all the participants in a sports meet, he had just 1 sweet left with him. Which of these could be the number of sweets given away to each participant?
(a) 5
(b) 6
(c) 8
(d) can't say without knowing the number of participants.

Answer : A

Question. Kevin wants to replace the * between the numbers 65 * 34 with a digit so that the resulting number is divisible by 4. Which of the following is true?
(a) He can replace it with any digit, the resulting number will be divisible by 4 anyway.
(b) He should replace it with 4 only.
(c)  He should replace it with either 2 or 4.
(d)  No matter what digit he chooses. the resulting number can never be divisible by 4.

Answer : D

Question. 50 divided by 0.01 is equal to
(a) 0.005
(b) 0.5
(c) 500
(d) 5000

Answer : D

Question. The numbers 0,1, 2, 3, ... are called whole numbers. p and q are two whole numbers such that when (p+q) is divide by p, quotient is a whole number but nota whole number when (p – q) is divided by p. Which of the following could be the values of p and q?
(a) p = 3, q = 4
(b) p = 2, q = 4
(c) p = 4, q = 4
(d) p = 4, q = 2

Answer : B

Question. How many 4-digit multiples of 5 can be formed with the digits 5, 3, 2, and 1? (No digit can be repeated.)
(a) 6
(b) 8
(c) 16
(d) 24

Answer : A

Question. If p − 2 = q and q − 2 = r, how are p and r related?
(a) p − 4 = r
(b) p + 4 = r
(c) p = r
(d) p − 2 = r

Answer : A

Question. Rakhi boards the train on 15th December from Mumbai. If the train is on time, at what time will she reach Kota?

(a) 4:17 AM, 15^th December
(b) 4:27 AM, 16^th December
(c) 4:17 PM, 16^th December
(d) 4:17 AM, 16^th December

Answer : D

Question. If the train leaves Vadodara at the scheduled time, after how much time would it reach Ratlam?(Assume that it runs on time)

(a) 3 hours, 20 minutes
(b) 3 hours, 25 minutes
(c) 3 hours, 40 minutes
(d) 21 hours, 20 minutes

Answer : A

Question. The numbers 1, 2, 3, 4, 5   etc. are called Natural numbers.  The numbers 0, 1, 2, 3, 4, ...... etc. are called Whole numbers.  Which of the following CAN be true?
(a) Natural number × Natural number = 0
(b) Natural number + Whole number = 0
(c) Natural number ÷ Natural number = 0
(d) Whole number × Natural number = 0

Answer : D

Question. If 10 is a factor of a number  which of the following MUST also be a factor ?
(a) 20
(b) 15
(c) 5
(d) 4

Answer : C

Question. 999 x 999 = 999000 - ?
(a) 9999
(b) 1000
(c) 999
(d) 998

Answer : C

Question. N is a number such that (N + 1)/2 is a negative integer.
Which statement is true about N?
(a) N is a positive integer
(b) N is a positive number but not an integer
(c) N is a negative integer
(d) N is a negative odd integer except greatest odd negative integer.

Answer : D

Question. Which of the following could be a common divisor of an even number and an odd number?
(a) 2
(b) 4
(c) 5
(d) 6

Answer : C

Question. How many different digits can replace *in the number 204*73 so that the resulting number is divisible by 3?
(a) 1
(b) 2
(c) 3
(d) Any digit

Answer : C

Question. 1 x (-1) x 2 x (-2) x 3 x (-3) x 4 x (-4)............ continue to multiply numbers in the same way and want to end the series with a number to get a positive product. The last number in the series COULD be which of these?
(a) -8
(b) 8
(c) -9
(d) 10

Answer : A

Question. While reading the newspaper, which had a total of 16 pages, Ravi removes a sheet - without tearing any page - to show his mother an article on page 4. If his father now starts reading it, which pages will he find missing?
(a) 4, 5, 6, 7
(b) 3, 4, 13, 14
(c) 4, 5, 12, 13
(d) 3, 4, 5, 6

Answer : B

Question. A teacher thinks of a number and asks her class to guess it. She writes some clues on the board. What is the number?

(a) 4564
(b) 4554
(c) 4545
(d) 4544

Answer : D

Question. Raman has the following list on his computer screen: 45286, 6782, 12456, 98222  He selects the whole list, and then uses the 'Find' and 'Replace' options in the menu to replace EVERY '2' in the list with a '3'. The value of which number will increase the most?
(a) 6782
(b) 12456
(c) 45286
(d) 98222

Answer : B

Question. In which of the following cases will the sum of p and q be greater than the product of p and q?
(a) both negative numbers
(b) both lie between 0 and 1
(c) both lie between 1 and 10
(d) it is not possible for any value

Answer : B

Question. The same digit has to go into both the empty boxes below to make a 5-digit number divisible by 3.
Which of these digits can go into the empty boxes?

1

5

4

(a) 7
(b) 6
(c) 3
(d) 2

Answer : A

Question. Given below are the minimum temperatures recorded each month during a 6-month period at a place in Antarctica. In which month was the lowest minimum temperature recorded?

(a) February
(b) March
(c) June  
(d) July

Answer : D

Question. If ϑ and Δ are two numbers and Δ × ϑ = 34,
then ϑ × Δ × Δ × ϑ is equal to
(a) 34 × 34 × 34 × 34
(b) 34 × 34 
(c) 43 × 34
(d) we can't say

Answer : B

Question. p and q are two prime numbers. c and d are two composite numbers.
Which of the following would be a prime number?
(a) p × q
(b) p × c
(c) c × d
(d) none of these

Answer : D

Question. Seventy crores seven lakhs seven hundred and seven is written as
(a) 70,07,00,707
(b) 70,70,00,707
(c) 7,07,07,007
(d) 7,07,00,707

Answer : A

Question. What number is 20 less than -25?
(a) - 5
(b) 5
(c) 45
(d) - 45

Answer : D

Question. In writing all the whole numbers from 1 to 100 (both included) once, which digit would you write the LEAST number of times?
(a) 0
(b) 1
(c) 5
(d) 9

Answer : A

Question. Which of the following is the same as 4 + 5n²?
(a) 9 x n x n
(b) 4 + 5 x n x n
(c) 4 + 5 + n x n
(d) 4 + 5 x n x 2

Answer : B

Question. Which of the following will give the answer as 44?
(a) 8 x 10 + 8 ÷2
(b) 8 x (10 + 8) ÷ 2
(c) 8 x (10 +8÷ 2)
(d) (8 x 10 + 8)÷2

Answer : D

Question. In which of the following will the answer be a positive number?
(a) (-2) + (-3) + (-4) +   (-5)
(b) -20
(c) (-20) x (-30) x     (-40) x (-50)
(d) (3) ÷ (-9)

Answer : C

Question. Tina called her friends Shama, Jenny, Roma and Aashka over to her house to play. They all arrived at Tina's house at different times. Shama arrived 5 minutes after Jenny but 10 minutes before Aashka. Roma and Tina were playing chess when Jenny arrived.
In what order did they arrive at Tina's house?
(a) Roma, Jenny, Shama, Aashka
(b) Jenny, Roma Shama, Aashka
(c) Roma, Shama, Jenny, Aashka
(d) Jenny, Shama, Aashka, Roma

Answer : A

Question. The points P, Q, R, S, T, U and V (moving from left to right on number line) stand for seven numbers whose positions on the number line are 6, 0, -12, -10, 10, -6 and -2 (when arranged from left to right on number line). Which letter stands for -6?

(a) Q
(b) R
(c) S
(d) T

Answer : B

Question. Two pieces of length 2y metres and x metres respectively were cut off from the ends of a rope that was originally 5x metres long.
What was the length of the remaining piece?

(a) 2x meters
(b) 3x metres
(c) (5 - 2y) metres
(d) (4x - 2y) metres

Answer : D

Question. N is a number such that N÷1⁄8 = 16
What is the value of N?
(a) 1/2
(b) 2
(c) 4
(d) 128

Answer : B

Question. Each cell of the table below has to be filled in with the product of the numbers in the corresponding row and column. Some of the products are filled in.If the table is completed, how many of the products filled in will be negative numbers? 

(a) 7
(b) 12
(c) 24
(d) 31

Answer : C

Question. Consider this 'string' given below of 0's and 1's: 
Study this string of digits and the rules given below to answer the question.
Rule 1: Starting from the left, replace every '11' in the string with '01'
Rule 2: Starting from the left, replace every '001' in the string with '1'
For example, if Rule 1 is applied to the string '0110', the result will be '0010'.If Rule 2 is then applied to this string '0010', the result will be '10'.'10' will be the final string, as Rules 1 and 2 have no effect on it.
If Rule 1 is applied completely to the original string, what will be the new string obtained?

(a) 1100000000000000
(b) 101000000000000
(c) 0100100101001010
(d) 10100000000000

Answer : C

Question. What will be the final string obtained if Rules 1 and 2 are applied consecutively on the original string? 
(a) 111000000
(b) 1010101
(c) 0111011010
(d) 11

Answer : C

Question. Look carefully at the pattern below and answer the question.
If this pattern is continued, after how many rows will there be exactly 100 shaded circles?
If this pattern is continued, the row having 100th shaded circle

(a) 40
(b) 50
(c) 100
(d) 200

Answer : A

Question. 200000 divided by4000 is
(a) 20
(b) 50
(c) 200
(d) 500

Answer : B

Question. Francis bought an ALTUS PC in August 2002. What is the total price that he would be paying for it?

(a) Rs 5000
(b) Rs 32000
(c) Rs 35500
(d) Rs 37000

Answer : D

Question. The length of a regular, new (unsharpened) pencil is about
(a) 0. 5 metre
(b) 15  inches
(c) 18 cm
(d) 25 feet 

Answer : C

Question. Which of the following has the greatest value?
(a) (-1000) divide 10
(b) (-100) divide 100
(c) (-10) divide (-100)
(d) 100 divide (-10) 

Answer : C

Question. Which arrow points closest to 3.49?

(a) A
(b) B
(c) C
(d) D

Answer : B

Question. 15 −14 + 1 is equal to
(a) -2
(b) 0
(c) 1
(d) 2

Answer : D

Question. What amount should be filled in words in the cheque shown below?

(a) Twenty lakhs sixty thousand eight hundred only
(b) Two crores six lakhs eight hundred only
(c) Twenty crores six lakhs eight hundred only
(d) Twenty crores sixty lakhs eight hundred only

Answer : B

Question. Increasing 550000 by one thousandth of itself will give
(a) 550005
(b) 550055
(c) 550550
(d) 555500

Answer : C

Question. A train, 100 m long, is standing exactly at the centre of a 150 m long platform. What is the LEAST distance that the train needs to travel before it passes the platform ENTIRELY?
(a) 100 m
(b) 125 m
(c) 150 m
(d) 250 m

Answer : B

Question. In a “Sudoku” puzzle, a grid has to be filled with digits in such a manner that every row, every column and every 3 x 3 box contains EACH DIGIT from 1 to 9, without repeating any. The question is based on Sudoku Puzzle . Shown below are two Sudoku grids - one filled (Grid 1) and one partly filled (Grid 2).   
Which number should come in the shaded box in Grid 2?

(a) 1
(b) 2
(c) 7
(d) 8

Answer : B

Question. Ramesh divided 3250 by 18 incorrectly and got the Quotient 179 and Remainder 28. FOR THIS PROBLEM, which of these checks will help Ramesh find out his mistake?
(a) Check if Quotient × Divisor + Remainder = Dividend.
(b) Check his calculations of 18 ×1, 18×7 and 18 × 9.
(c) Check if Remainder < Dividend.
(d) Check if Remainder < Divisor.

Answer : A

TOPIC: INTEGERS

Simplify using the suitable properties:
a) (– 25 ) × 2345 × (– 40 ) , b ) [ 23 × (– 43 ) ] + [ (– 57 × ( 23 )] , c) [(– 44 ) × (– 54 )] + [(– 56 ) × (– 54 )]
d) {[ (– 102) × (– 34 ) ] + [ (– 23 ) × (– 34 )] + [(25 × (– 34 )]} e) ( - 35 × 7 ) + (- 134 × 7) + ( 69 × 7 )
f) [(–1193) × (– 225 )] + [( - 225 ) × ( 193 )] g) [( - 43 ) × 43] + [ 73 × 43 ] – [ 130 × 43 ]
h) (– 125 ) × (– 9872 ) × ( 8 ) i) ((– 36 ) × 78) – [ 179 × (– 36 )] + (– 36 )

 

DRILL WORK
S.NO QUESTIONS

1 Simplify the following : a) –10 – (–24 + 35 ) , b) ( 20 – 24) + (– 34 + 32 ) , c) 30 – ( 52 ÷ (– 13 )) + (– 50 )

2 Evaluate the following : a) (–24 + 4 ) × (–10 ) , b) – 80 + [20 (– 5 + 3 )] , c) ( 40 – (–20 ) ) ÷ ( 30 × (– 2 ) )

3 a) Subtract ( 25 × (– 3 )) from [ -24 ÷ 8] , b) Find the sum of ( - 36 ÷ 4 ) , (– 4 – 10 ) and 3(–2 – 6 )

4 a) Divide ( - 35 + 80 ) by ( 3 × (- 3)) , b) [– 10 – 2 – 5 – 25 – 50 ] ( - 1 ) , c) ( 25 ÷ (– 5 )) – 100

5 Simplify and arrange answers in ascending order :
(– 36 + 7 ) , (– 19 – 56 ) , (– 8 × (– 2– 6 )) , ( 75 ÷ (– 75 ) – 5 ) , ( 42 + 23 – 100 ) , (– 30 ÷ 6 )+ (– 7 )

6 What should be subtracted from (– 9 + 5 ) to get ( – 24) ?

7 What should multiplied with (– 24 ) to get (– 96 )?

8 Find the additive inverse of [– 20 + 10 – 5 ]

9 Evaluate the following : [ (– 30 + 5 )] ÷ (– 100 )

10 Arrange answers in descending order : (–12 ÷ 6) – 10 , (– 40 – 15 ) , 33 – (– 12 ) , ( 20 × –12 )

 

Please click on below link to download CBSE Class 7 Mathematics Integers Worksheet