Question types

Integers question types

159 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

159
Questions
5
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.

Which of the following shows the maximum rise in temperature?
  • A
    $23^\circ$ to $32^\circ $
  • $-10^\circ$ to $+ 1^\circ $
  • C
    $-18^\circ$ to $-11^\circ $
  • D
    $-5^\circ$ to $5^\circ$

Answer: B.

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In a test, $+3$ marks are given for every correct answer and $-1$ mark are given for every incorrect answer. Sona attempted all the questions and scored $+20$ marks though she got $10$ correct answers. How many questions were given in the test$?$
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A green grocer had a profit of $Rs. 47$ on Monday, a loss of $Rs. 12$ on Tuesday and loss of $Rs. 8$ on Wednesday. Find his net profit or loss in $3$ days.
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Social Studies Application: Remembering that $1AD$ came immediately after $1BC,$ while solving these problems take $1BC$ as $-1$ and $1AD$ as $+1.$ Bhaskaracharya was born in the year $1114AD$ and died in the year $1185AD.$ What was his age when he died$?$
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From given integers in Column $I$ match an integer of Column $II$ so that their product lies between $-19$ and $-6$
Column I
Column II
$-5$
$1$
$6$
$-1$
$-7$
$3$
$8$
$-2$
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Social Studies Application: Remembering that $1AD$ came immediately after $1BC,$ while solving these problems take $1BC$ as $-1$ and $1AD$ as $+1.$ The Greeco-Roman era, when Greece and Rome ruled Egypt started in the year $330BC$ and ended in the year $395AD.$ How long did this era last$?$
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Below $u, v, w$ and $x$ represent different integers, where $u = –4$ and $\text{x}\neq1$ By using following equations, find each of the values: $u \times v = u x \times w = w u + x = w$
$a. v$
$b. w$
$c. x$
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The given table shows the freezing points in $0F$ of different gases at sea level.
Convert each of these into $0C$ to the nearest integral value using the relation and complete the table, $\text{C}=\frac{5}{9}(\text{F}-32)$
Gas Freezing Point at (°F) Freezing Point at Sea LevelSea Level $(^\circ C)$
Hydrogen $-435$  
Krypton $-251$  
Oxygen $-369$  
Helium $-458$  
Argon $-309$  
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Match the following
Column $I$ Column $II$
$(a)$ $a \times 1$ $(i)$ Additive inverse of a
$(b)$ $1$ $(ii)$ Additive identity
$(c)$ $(-a) ÷ (-b)$ $(iii)$ Multiplicative identit
$(d)$ $a \times (-1)$ $(iv)$ $a ÷ (-b)$
$(e)$ $a \times 0$ $(v)$ $a ÷ b$
$(f)$ $(-a) ÷ b$ $(vi)$ $a$
$(g)$ $0$ $(vii)$ $-a$
$(h)$ $a ÷ (-a)$ $(viii)$ $0$
$(i)$ $-a$ $(ix)$ $-1$
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An atom changes to a charged particle called ion if it loses or gains electrons. The charge on an ion is the charge on electrons plus chargeon protons. Now, write the missing information in the table given below:
Name of Ion Proton Charge Electron Charge Ion Charge
Hydroxide ion $+9$ $—$ $-1$
Sodium ion $+11$ $—$ $+1$
Aluminium ion $+13$ $-10$ $—$
Oxide ion $+8$ $-10$ $—$
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Q 203 Marks Question3 Marks
If $\triangle$ is an operation such that for integers a and b we have a $\triangle b = a \times b -2 \times a \times b + b \times b (-a) \times b + b \times b$ then find. Also show that $4\triangle(-3)\neq(-3)\triangle4$ and$(-7)\triangle(-1)\neq(-1)\triangle(-7)$
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Q 213 Marks Question3 Marks
You have $Rs. 500$ in your savings account at the beginning of the month. The record below shows all of your transactions during the month. How much money is in your account after these transactions?
Cheque No.
Date
Transaction Description
Payment
Deposit
$384102$
$4/9$
Jal Board
$Rs. 120$
$Rs. 200$
$275146$
$12/9$
Deposit
 
 
$384103$
$22/9$
LIC India
$Rs. 240$
$Rs. 150$
$801351$
$29/9$
Deposit
 
 
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Q 223 Marks Question3 Marks
Observe the following patterns and fill in the blanks to make the statements true:$ -5 \times 4 = -20 -5 \times 3 = -15 = -20 - (-5) -5 \times 2 =$ _____ $= -15 - (-5) -5 \times 1 =$ _____ $=$ _____. $-5 \times 0 = 0 = $_____. $-5 \times -1 = 5 =$ _____.$ -5 \times -2 = $_____ $= $_____.
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Q 233 Marks Question3 Marks
A multistorey building has $25$ floors above the ground level each of height $5m$. It also has $3$ floors in the basement each of height $5m.$ A lift in building moves at a rate of $1m/s.$ If a man starts from $50m$ above the ground, how long will it take him to reach at $2nd$ floor of basement$?$
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Q 243 Marks Question3 Marks
Science Application: An atom consists of charged particles called electrons and protons. Each proton has a charge of $+1$ and each electron has a charge of $-1.$ Remember number of electrons is equal to number of protons, while answering these questions: What is the charge on an atom$?$
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