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Integers MATHS - Integers

Gujarat Board (GSEB) - STD 7 - MATHS (GSEB - English Medium). 150 questions in this chapter.

Question types

Integers question types

150 questions across 9 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

150
Questions
9
Question groups
5
Question types
Sample Questions

Integers questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q. [1 Marks Each]1 Mark
$[(-8) \times(-3)] \times(-4)$ is not equal to
  • A
    $(-8) \times[(-3) \times(-4)]$
  • B
    $[(-8) \times(-4) \times(-3)]$
  • C
    $[(-3) \times(-8)] \times(-4)$
  • ✓
    $(-8) \times(-3)-(-8) \times(-4)$

Answer: D.

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Q 6Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A) $(-32) \div4=8$.
Reason (R) When we divide a negative integer by a positive integer, then we get a negative integer.
  • A
    Both A and R are true and R is the correct explanation of A.
  • B
    Both A and R are true but R is not the correct explanation of A.
  • C
    A is true but R is false.
  • ✓
    A is false but R is true.

Answer: D.

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Q 7Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A) The multiplicative inverse of $\frac{-1}{7}$ is 1.
Reason (R) $-\frac{1}{7} \times(-7)=1$
  • A
    Both A and R are true and R is the correct explanation of A.
  • B
    Both A and R are true but R is not the correct explanation of A.
  • C
    A is true but R is false.
  • ✓
    A is false but R is true.

Answer: D.

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Q 8Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A) $23 \times 1=23$
Reason (R) Any number when multiplied by 1, results in the number itself.
  • ✓
    Both A and R are true and R is the correct explanation of A.
  • B
    Both A and R are true but R is not the correct explanation of A.
  • C
    A is true but R is false.
  • D
    A is false but R is true.

Answer: A.

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Q 9Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A) The product of 14 and (-10) is 140.
$14 \times(-10)=140$
Reason (R) If one positive and one negative integer are multiplied, then the result is a negative integer.
  • A
    Both A and R are true and R is the correct explanation of A.
  • B
    Both A and R are true but R is not the correct explanation of A.
  • C
    A is true but R is false.
  • ✓
    A is false but R is true.

Answer: D.

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Q 10Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A) For any two integers 8 and -6,
$8-(-6) \neq-6-8$
Reason (R) Subtraction is not commutative for integers.
  • ✓
    Both A and R are true and R is the correct explanation of A.
  • B
    Both A and R are true but R is not the correct explanation of A.
  • C
    A is true but R is false.
  • D
    A is false but R is true.

Answer: A.

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Q 302 Marks Questions2 Marks
$\begin{array}{l}\text {(i) Is } 10 \times[6-(-2)]=10 \times 6-10 \times(-2) \text { ? }
\\ \text {(ii) Is }(-15) \times[(-7)-(-1)] =(-15) \times(-7)-(-15) \times(-1) \text { ? }\end{array}$
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Q 315 Marks Questions5 Marks
In a true-false test containing 50 questions, a student is to be awarded 2 marks for every correct answer and (-2) for every incorrect answer. (and 0 for not attempting any answer). If Yash secured 94 marks in a test, What are the possibilities of his marking correct or incorrect answer?
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Q 325 Marks Questions5 Marks
Observe the following table and complete it.
 StatementObservation
(i)7 - 9 = - 2Result is an integer
(ii)17 - (- 21) = 
(iii)(- 8) - (-14) = 6Result is an integer
(iv)(- 21) - (-10) = 
(v)32 - (- 17) = 
(vi)(- 18) - (- 18) = 
(vii)(- 29) - 0 = 
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Q 335 Marks Questions5 Marks
Observe the following table and complete it.
StatementInference
(- 8) $\div$ (- 4) = 2Result is an integer
(- 4) $\div$ (- 8) = $\frac{- 4}{- 8}$Result is not an integer
(- 8) $\div$ 3 = $\frac{-8}{3}$ 
3 $\div$ (- 8) = $\frac{3}{-8}$ 
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Q 345 Marks Questions5 Marks
Observe the following table and complete it.
Multiplication statementCorresponding division statements
2 × (- 6) = (- 12)(- 12) $\div$ (- 6) = 2, (- 12) $\div$ 2 = (- 6)
(- 4) × 5 = (- 20)(- 20) $\div$ (5) = (- 4), (- 20) $\div$ (- 4) = 5
(- 8) × (- 9) = 7272 $\div$ __________ = __________ , 72 $\div$ __________ = __________
(- 3) × (- 7) = ____________________ , $\div$ (-3)= __________ , __________
(- 8) × 4 = ____________________ , __________
5 × (- 9) = ____________________ , __________
(- 10) × (- 5) = ____________________ , __________
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Q 355 Marks Questions5 Marks
Observe the following table and complete it.
Statement 1Statement 2Inference
3 × (- 4) = - 12(- 4) × 3 = - 123 × (- 4) = (- 4) × 3
(- 30) × 12 =12 × (- 30) = 
(- 15) × (- 10) = 150(- 10) × (- 15) = 150 
(- 35) × (- 12) =(- 12) × (- 35) = 420 
(- 17) × 0 =  
$\quad$$\quad$$\quad$$\quad$=(- 1) × (- 15) = 
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Q 36Match the following.4 Marks
Match the column A with column B
Column AColumn B
(i) (- 4) × (- 1) × (- 1)(a) 2
(ii) (2 + 4) × 4(b) 24
(iii) (4 $\div$ 2) × 1(c) - 4
(iv) The value of [ (12 $\div$ 6) + (4 × 4) × 2 ]is(d) 34
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Q 383 Marks Question3 Marks
In a class test, (+3) marks are given for every correct answer and (-2) marks are given for every incorrect answer and no marks for not attempting any question.
(i) Radhika scored 20 marks. If she has got 12 correct answers, how many questions has she attempted incorrectly?
(ii) Mohini scores ( -5 ) marks in this test, though she has got 7 correct answers. How many questions has she attempted incorrectly?
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Q 393 Marks Question3 Marks
The temperature at 12 noon was $10^{\circ} C$ above zero. If it decreases at the rate of $2^{\circ} C / h$ untll mid-night, at what time would the temperature be $8^{\circ} C$ below zero? What would be the temperature at mid-night?
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Q 413 Marks Question3 Marks
In a quiz, Team A scored -40, 10, 0 and Team B scored 10, 0, -40 in three successive rounds. Which team scored more? Can we say that we can add integers in any order?
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