All Questions

Mathematics Class 8

263 of 263 questions (263 total across all chapters)

263

All Questions

Easy

130

Medium

Hard

📚 All Questions: Complete collection of all questions from every chapter in this subject.

easyIntroduction to Rational Numbers

Which of the following equations led to the need for rational numbers?

A.x + 2 = 13

B.x + 5 = 5

C.2x = 3

D.x + 18 = 5

easyDefinition of Rational Numbers

A rational number is defined as a number that can be written in the form p/q where:

A.p and q are natural numbers

B.p and q are integers and q ≠ 0

C.p and q are whole numbers and q ≠ 0

D.p and q are positive integers

mediumClosure Property

Which number system is closed under all four basic operations (addition, subtraction, multiplication, division)?

A.Natural numbers

B.Whole numbers

C.Integers

D.None of the above

mediumAddition of Rational Numbers

What is the result of 3/8 + (-5/7)?

A.-19/56

B.19/56

C.-2/15

D.8/15

easyCommutativity

Which property is demonstrated by: 2/3 × 4/5 = 4/5 × 2/3?

A.Associative property

B.Commutative property

C.Distributive property

D.Identity property

mediumNon-commutativity of Subtraction

Subtraction is NOT commutative for rational numbers. Which example proves this?

A.2/3 - 5/4 = 5/4 - 2/3

B.2/3 - 5/4 ≠ 5/4 - 2/3

C.2/3 + 5/4 = 5/4 + 2/3

D.2/3 × 5/4 = 5/4 × 2/3

easyAssociativity

The associative property for addition states that:

A.a + b = b + a

B.(a + b) + c = a + (b + c)

C.a + 0 = a

D.a(b + c) = ab + ac

easyAdditive Identity

What is the additive identity for rational numbers?

A.1

B.0

C.-1

D.1/2

easyMultiplicative Identity

What is the multiplicative identity for rational numbers?

A.0

B.1

C.-1

D.Any rational number

Q10

mediumDistributivity

The distributive property of multiplication over addition is written as:

A.a + (b × c) = (a + b) × (a + c)

B.a × (b + c) = (a × b) + (a × c)

C.(a × b) + c = a × (b + c)

D.a × b × c = (a × b) × c

Q11

hardMultiplication of Rational Numbers

Calculate: (-7/3) × (6/5) × (-14/9)

A.28/9

B.-28/9

C.196/135

D.-196/135

Q12

mediumAssociative Property Application

Which property allows us to compute (1/3 × 4/3) × 1/3 as 1/3 × (4/3 × 1/3)?

A.Commutative property

B.Associative property

C.Distributive property

D.Identity property

Q13

mediumClosure Property Analysis

Are whole numbers closed under subtraction?

A.Yes, always

B.No, because 5 - 7 = -2 is not a whole number

C.Yes, but only for positive results

D.Only when the first number is larger

Q14

mediumDistributive Property Application

Solve using distributivity: 7/5 × (3/12 - 5/12)

A.-7/30

B.7/30

C.-2/15

D.2/15

Q15

easyNumber System Comparison

What makes rational numbers different from integers?

A.Rational numbers include negative numbers

B.Rational numbers can be expressed as fractions p/q where q ≠ 0

C.Rational numbers are always positive

D.Integers are larger than rational numbers

Q16

easyAdditive Identity Application

If 2/5 + x = 2/5, what is the value of x?

A.1

B.0

C.2/5

D.-2/5

Q17

hardEfficient Calculation Strategies

Calculate: 3/7 + 6/11 + 8/21 + 5/22 using properties efficiently

A.Group as (3/7 + 8/21) + (6/11 + 5/22)

B.Add all numerators and denominators separately

C.Convert all to the same denominator first

D.Use only commutativity

Q18

mediumDivision and Closure

Why are rational numbers NOT closed under division?

A.Division always gives irrational results

B.Division by zero is undefined

C.Division of fractions is too complicated

D.Division gives negative results

Q19

mediumProperty Combinations

Which operation is both commutative and associative for rational numbers?

A.Subtraction only

B.Division only

C.Addition and multiplication

D.All four operations

Q20

hardComplex Multiplication

Evaluate: (-4/5) × (3/7) × (15/16) × (-14/9)

A.1/2

B.-1/2

C.2

D.-2

Q21

easyZero as Rational Number

Which statement about the number 0 is correct?

A.0 is not a rational number

B.0 is a rational number because it can be written as 0/1

C.0 is only a whole number

D.0 cannot be written in p/q form

Q22

hardAdvanced Distributivity

Using distributivity, solve: 2/5 × 3/7 - 1/14 - 3/7 × 3/5

A.-1/2

B.1/2

C.-6/14

D.6/14

Q23

mediumNumber System Relationships

If a property holds for rational numbers, will it always hold for integers?

A.Yes, because integers are rational numbers

B.No, because integers are different from rational numbers

C.Only for addition and multiplication

D.Only for positive integers

Q24

mediumPractical Applications of Properties

What is the main advantage of using properties like commutativity and associativity in calculations?

A.They make numbers look bigger

B.They allow for more efficient and easier calculations

C.They change the final answer

D.They are required by mathematical law

Q25

hardNeed for Rational Numbers

Why is the equation x/5 + 7 = 0 important in understanding rational numbers?

A.It shows we need negative fractions

B.It demonstrates that x = -35/5 = -7, a negative integer

C.It proves that we need the rational number x = -7/5

D.It shows equations have no solutions

Q26

hardNumber System Completeness

Which number system is the smallest that contains solutions to all linear equations of the form ax + b = c?

A.Natural numbers

B.Whole numbers

C.Integers

D.Rational numbers

Q27

mediumClosure Property Understanding

If a/b + c/d = (ad + bc)/(bd), which property ensures that the result is still a rational number?

A.Commutative property

B.Associative property

C.Closure property

D.Distributive property

Q28

hardDensity Property

When we say 'rational numbers are dense,' we mean:

A.They are very heavy

B.Between any two rational numbers, there are infinitely many rational numbers

C.They take up a lot of space

D.They are closely packed together

Q29

mediumReal-world Applications

In real-world applications, why are rational numbers more useful than integers?

A.They are easier to calculate with

B.They allow for precise measurements and divisions

C.They are always positive

D.They are larger numbers

Q30

mediumReciprocals and Identity

What happens when we multiply a rational number by its reciprocal?

A.We get zero

B.We get the original number

C.We get one

D.We get a negative number

Q31

mediumMental Math Strategies

Which property is most useful for mental math calculations with rational numbers?

A.Closure property

B.Distributive property combined with commutativity

C.Identity properties only

D.Associativity only

Q32

hardNew Operations and Properties

If we define a new operation * such that a * b = ab + a + b, is this operation commutative for rational numbers?

A.Yes, because a * b = ab + a + b = ba + b + a = b * a

B.No, because addition is not always commutative

C.Only for positive rational numbers

D.Only when a = b

Q33

easyPractical Problem Solving

How do rational numbers help solve real-world division problems?

A.They make division impossible

B.They allow exact representation of division results even when numbers don't divide evenly

C.They only work with whole number division

D.They always give whole number answers

Q34

mediumMathematical Foundation

Why is understanding the properties of rational numbers important for advanced mathematics?

A.They are only needed for basic arithmetic

B.These properties form the foundation for algebraic manipulation and equation solving

C.They are not used in higher mathematics

D.They only apply to rational numbers

Q35

mediumSystem Completeness

What is the significance of rational numbers being closed under three of the four basic operations?

A.It means we can do most calculations within the rational number system

B.It proves rational numbers are perfect

C.It shows division is not important

D.It means we don't need other number systems

Q36

hardEquation Solving Applications

How does the concept of identity elements relate to solving equations?

A.Identity elements make equations unsolvable

B.They provide neutral elements that don't change values, useful in maintaining equation balance

C.They only work in multiplication

D.They change the equation completely

Q37

easyMeasurement Applications

What role do rational numbers play in measurement and precision?

A.They limit precision to whole units

B.They allow for fractional measurements and increased precision

C.They are not used in measurements

D.They make measurements less accurate

Q38

hardNumber System Hierarchy

How do the properties of rational numbers connect to the properties of real numbers?

A.They are completely different

B.Rational number properties are a subset of real number properties

C.Real numbers don't have properties

D.Only some properties carry over

Q39

mediumMathematical Literacy

What makes studying rational numbers essential for mathematical literacy?

A.They are the most complex numbers

B.They bridge the gap between simple counting and advanced mathematics

C.They are only used in textbooks

D.They are the largest number system

Q40

hardMathematical Progression

How do rational numbers prepare students for understanding irrational numbers?

A.They show what numbers should NOT be like

B.They establish the concept of precise number representation and help identify gaps in the rational system

C.They have no connection to irrational numbers

D.They prove irrational numbers don't exist

Q41

easyLinear Expressions

Which of the following is a linear expression in one variable?

A.$x^2 + 3x + 1$

B.$2x + 5$

C.$xy + 3$

D.$\frac{1}{x} + 2$

Q42

easyEquation Structure

In the equation $3x - 7 = 2x + 5$, what is the LHS?

A.$2x + 5$

B.$3x - 7$

C.$3x$

D.$-7$

Q43

mediumBasic Equation Solving

Solve: $2x - 3 = x + 2$

A.$x = 5$

B.$x = 1$

C.$x = -1$

D.$x = 3$

Q44

mediumVariable Collection

What is the solution to $5x = 3x + 12$?

A.$x = 6$

B.$x = 4$

C.$x = 3$

D.$x = 8$

Q45

mediumTransposition

When transposing a term from one side of equation to another, we:

A.Keep the same sign

B.Change the sign

C.Multiply by -1

D.Both B and C are correct

Q46

mediumVariable Collection

Solve: $7y - 2 = 4y + 13$

A.$y = 5$

B.$y = 3$

C.$y = 7$

D.$y = 4$

Q47

mediumFractions in Equations

To solve $\frac{x}{3} = \frac{x-2}{2}$, what should we multiply both sides by?

A.3

B.2

C.6

D.5

Q48

hardFractional Equations

Solve: $\frac{2x+1}{3} = \frac{x-1}{2}$

A.$x = -5$

B.$x = 5$

C.$x = 1$

D.$x = -1$

Q49

mediumBrackets in Equations

What is the first step in solving $2(x-3) = 3(x+1)$?

A.Divide both sides by 2

B.Expand the brackets

C.Add 3 to both sides

D.Subtract x from both sides

Q50

mediumBracket Expansion

Solve: $3(x-2) = 2(x+1)$

A.$x = 8$

B.$x = 4$

C.$x = 6$

D.$x = 2$

Q51

mediumLinear Equation Identification

Which of the following is NOT a linear equation in one variable?

A.$2x + 3 = 5x - 1$

B.$\frac{x}{2} + 3 = 7$

C.$x^2 + 2x = 5$

D.$3(x-1) = 2x + 4$

Q52

hardFinding Coefficients

If $x = 3$ is the solution to $ax + 5 = 2x + 11$, what is the value of $a$?

A.$a = 4$

B.$a = 2$

C.$a = 6$

D.$a = 1$

Q53

hardComplex Fractions

Solve: $\frac{3x-1}{4} = \frac{2x+3}{5}$

A.$x = 23$

B.$x = 19$

C.$x = 17$

D.$x = 21$

Q54

mediumSolution Methods

When we solve $2x - 5 = x + 3$, what operation transforms it to $x = 8$?

A.Add 5 and subtract x

B.Subtract x and add 5

C.Multiply by 2

D.Both A and B give the same result

Q55

mediumFinding Expressions

If $3x + 7 = 4x - 2$, what is the value of $2x$?

A.$18$

B.$9$

C.$12$

D.$6$

Q56

hardComplex Brackets

Solve: $5(x-1) - 3(x+2) = 2$

A.$x = 13$

B.$x = 7$

C.$x = 11$

D.$x = 9$

Q57

mediumLCM Calculation

What is the LCM of denominators in $\frac{x}{6} + \frac{x-1}{4} = \frac{2x+1}{3}$?

A.$24$

B.$12$

C.$18$

D.$6$

Q58

easySimple Fractions

If $\frac{2x-1}{3} = 5$, what is the value of $x$?

A.$x = 8$

B.$x = 7$

C.$x = 9$

D.$x = 6$

Q59

hardMulti-bracket Equations

Solve: $2x + 3(x-1) = 4(x+2) - 1$

A.$x = -12$

B.$x = 12$

C.$x = -6$

D.$x = 6$

Q60

mediumMathematical Properties

What property allows us to write $a = b$ as $a + c = b + c$?

A.Commutative property

B.Distributive property

C.Equality property

D.Associative property

Q61

hardFraction Subtraction

Solve: $\frac{x+1}{2} - \frac{x-1}{3} = 1$

A.$x = 7$

B.$x = 5$

C.$x = 3$

D.$x = 9$

Q62

easyEquation Balance

In solving equations, what does 'maintaining balance' mean?

A.Keeping the equation symmetric

B.Performing the same operation on both sides

C.Making both sides equal to zero

D.Using only addition and subtraction

Q63

mediumStandard Solving

Solve: $4x - 7 = 2x + 11$

A.$x = 9$

B.$x = 4$

C.$x = 6$

D.$x = 8$

Q64

mediumExpression Evaluation

If $5x - 2 = 3x + 8$, what is the value of $x + 3$?

A.$8$

B.$5$

C.$7$

D.$6$

Q65

hardCross Multiplication

Solve: $\frac{3x}{4} = \frac{2x-1}{3}$

A.$x = -4$

B.$x = 4$

C.$x = -\frac{4}{7}$

D.$x = \frac{4}{7}$

Q66

mediumFraction Elimination

What is the main advantage of clearing fractions in an equation?

A.Makes the equation shorter

B.Eliminates decimal calculations

C.Converts to simpler integer arithmetic

D.Reduces the number of variables

Q67

mediumNegative Brackets

Solve: $6x - (2x + 5) = 3x - 8$

A.$x = 3$

B.$x = -3$

C.$x = 1$

D.$x = -1$

Q68

hardGeneral Form Solution

In the equation $ax + b = cx + d$, the solution is:

A.$x = \frac{d-b}{a-c}$

B.$x = \frac{b-d}{a-c}$

C.$x = \frac{d-b}{c-a}$

D.$x = \frac{a-c}{d-b}$

Q69

mediumAdding Fractions

Solve: $\frac{x}{2} + \frac{x}{3} = 10$

A.$x = 12$

B.$x = 15$

C.$x = 18$

D.$x = 20$

Q70

easySolution Strategy

Which step would you take first to solve $3(2x-1) = 2(x+4)$?

A.Divide both sides by 3

B.Multiply out the brackets

C.Add 1 to both sides

D.Subtract 2x from both sides

Q71

mediumMixed Brackets

Solve: $2(x+3) - 3(x-1) = 7$

A.$x = 2$

B.$x = -2$

C.$x = 4$

D.$x = -4$

Q72

hardCross Multiplication

What is the solution to $\frac{2x+3}{5} = \frac{x-2}{2}$?

A.$x = -19$

B.$x = 19$

C.$x = -13$

D.$x = 13$

Q73

mediumFinding Parameters

If $x = -2$ is a solution to $3x + a = x - 4$, what is the value of $a$?

A.$a = 2$

B.$a = -2$

C.$a = 4$

D.$a = -4$

Q74

mediumBracket Distribution

Solve: $4x - 3(x-2) = 2x + 1$

A.$x = -7$

B.$x = 7$

C.$x = -5$

D.$x = 5$

Q75

easyFundamental Principle

What is the key principle when solving linear equations?

A.Always multiply by the largest coefficient

B.Maintain equality by performing same operations on both sides

C.Convert everything to fractions

D.Always isolate the constant term first

Q76

mediumStandard Form

Solve: $5x + 2 = 3x - 8$

A.$x = -5$

B.$x = 5$

C.$x = -3$

D.$x = 3$

Q77

mediumFraction Clearing

In solving $\frac{x-1}{4} = \frac{x+3}{6}$, after clearing fractions we get:

A.$3(x-1) = 2(x+3)$

B.$6(x-1) = 4(x+3)$

C.$2(x-1) = 3(x+3)$

D.$4(x-1) = 6(x+3)$

Q78

easyBasic Collection

Solve: $7x - 4 = 3x + 12$

A.$x = 4$

B.$x = 2$

C.$x = 6$

D.$x = 8$

Q79

easySolution Verification

What does it mean to 'verify' a solution?

A.Solve the equation again using a different method

B.Substitute the solution back into the original equation to check

C.Graph the equation

D.Simplify the equation further

Q80

hardMultiple Fractions

Solve: $\frac{2x-1}{3} + \frac{x+2}{2} = 4$

A.$x = 1$

B.$x = 2$

C.$x = 3$

D.$x = 4$

Q81

hardParameter Finding

The equation $px + 5 = qx + 3$ has solution $x = 2$. If $p = 4$, what is $q$?

A.$q = 3$

B.$q = 5$

C.$q = 6$

D.$q = 7$

Q82

easyStandard Solving

Solve: $8x - 5 = 3x + 20$

A.$x = 5$

B.$x = 4$

C.$x = 3$

D.$x = 6$

Q83

mediumCoefficient Identification

In the equation $3x - 2 = 5x + 4$, what is the coefficient of $x$ after collecting like terms?

A.$-2$

B.$2$

C.$-8$

D.$8$

Q84

hardComplex Mixed Fractions

Solve: $\frac{3x+1}{2} = \frac{2x-1}{3} + 1$

A.$x = 7$

B.$x = 5$

C.$x = 3$

D.$x = 1$

Q85

mediumEfficient Methods

What is the most efficient first step in solving $12x + 8 = 4x + 32$?

A.Divide everything by 4

B.Subtract 4x from both sides

C.Subtract 8 from both sides

D.Any of the above would work equally well

Q86

mediumSolution Properties

Linear equations in one variable always have:

A.No solution

B.Exactly one solution

C.Two solutions

D.Infinitely many solutions

Q87

easyExterior Angles

What is the sum of all exterior angles of any polygon?

A.180°

B.360°

C.540°

D.It depends on the number of sides

Q88

mediumRegular Polygons

A regular polygon has each exterior angle measuring 40°. How many sides does it have?

A.8 sides

B.9 sides

C.10 sides

D.12 sides

Q89

mediumParallelogram Properties

Which of the following is NOT a property of a parallelogram?

A.Opposite sides are equal

B.Opposite angles are equal

C.Diagonals are equal in length

D.Diagonals bisect each other

Q90

easyParallelogram Angles

In a parallelogram ABCD, if ∠A = 70°, what is the measure of ∠C?

A.70°

B.110°

C.140°

D.290°

Q91

mediumRegular Polygon Angles

What is the measure of each interior angle of a regular hexagon?

A.108°

B.120°

C.135°

D.144°

Q92

easyQuadrilateral Classification

Which quadrilateral has exactly one pair of parallel sides?

A.Parallelogram

B.Rectangle

C.Trapezium

D.Rhombus

Q93

mediumRhombus Properties

In a rhombus, the diagonals are:

A.Equal and parallel

B.Perpendicular but not equal

C.Perpendicular bisectors of each other

D.Equal but not perpendicular

Q94

easyShape Relationships

A rectangle is a special case of:

A.Square

B.Rhombus

C.Parallelogram

D.Kite

Q95

easyParallelogram Calculations

In parallelogram PQRS, if PQ = 8 cm and QR = 5 cm, what is the perimeter?

A.13 cm

B.18 cm

C.26 cm

D.40 cm

Q96

mediumKite Properties

Which statement about a kite is TRUE?

A.All sides are equal

B.Opposite sides are parallel

C.Exactly two pairs of adjacent sides are equal

D.All angles are equal

Q97

hardRegular Polygon Calculation

If each interior angle of a regular polygon is 135°, how many sides does it have?

A.6 sides

B.8 sides

C.10 sides

D.12 sides

Q98

easyRectangle Properties

In rectangle ABCD, if diagonal AC = 10 cm, what is the length of diagonal BD?

A.5 cm

B.10 cm

C.20 cm

D.Cannot be determined

Q99

mediumSquare Properties

Which quadrilateral has all the properties of both a rectangle and a rhombus?

A.Parallelogram

B.Trapezium

C.Square

D.Kite

Q100

mediumParallelogram Angle Properties

In parallelogram WXYZ, ∠W = 110°. What is ∠X?

A.70°

B.110°

C.180°

D.250°

Q101

mediumPolygon Classification

What is the difference between a convex and concave polygon?

A.Number of sides

B.Length of sides

C.Whether any interior angle exceeds 180°

D.Whether all sides are equal

Q102

mediumRegular Polygon Sides

How many sides does a regular polygon have if each exterior angle is 24°?

A.12 sides

B.15 sides

C.18 sides

D.20 sides

Q103

mediumRhombus Angles

In rhombus ABCD, if one angle is 60°, what are the measures of the other angles?

A.60°, 60°, 60°

B.120°, 60°, 120°

C.90°, 90°, 90°

D.120°, 120°, 120°

Q104

easyUniversal Properties

Which property is true for ALL parallelograms?

A.All sides are equal

B.All angles are 90°

C.Diagonals are equal

D.Opposite sides are equal

Q105

hardSquare Calculations

In square PQRS, if the length of diagonal PR is 8√2 cm, what is the side length?

A.4 cm

B.8 cm

C.16 cm

D.8√2 cm

Q106

hardDiagonal Properties

What type of quadrilateral has perpendicular diagonals that bisect each other?

A.Rectangle only

B.Rhombus only

C.Square only

D.Both rhombus and square

Q107

mediumShape Identification

If a quadrilateral has all sides equal but angles are not all equal, it is a:

A.Square

B.Rectangle

C.Rhombus

D.Parallelogram

Q108

easyAngle Relationships

The sum of two adjacent angles in a parallelogram is:

A.90°

B.180°

C.270°

D.360°

Q109

hardKite Angle Properties

In a kite ABCD where AB = AD and CB = CD, which angles are equal?

A.∠A and ∠C

B.∠B and ∠D

C.∠A and ∠B

D.∠C and ∠D

Q110

easyPolygon Basics

What is the minimum number of sides a polygon can have?

A.2 sides

B.3 sides

C.4 sides

D.5 sides

Q111

easyRectangle Diagonal Properties

In rectangle ABCD, diagonals AC and BD intersect at O. If AC = 12 cm, what is AO?

A.3 cm

B.6 cm

C.12 cm

D.24 cm

Q112

hardRegular Polygon Properties

Which statement about regular polygons is FALSE?

A.All sides are equal

B.All angles are equal

C.All exterior angles are equal

D.All diagonals are equal

Q113

easyInterior-Exterior Angle Relationship

If the exterior angle of a regular polygon is 30°, what is each interior angle?

A.120°

B.150°

C.330°

D.30°

Q114

mediumCombined Properties

What type of parallelogram has diagonals that are both equal and perpendicular?

A.Rectangle

B.Rhombus

C.Square

D.General parallelogram

Q115

mediumTrapezium Properties

In trapezium ABCD, if AB || CD, which angles are supplementary?

A.∠A and ∠B

B.∠A and ∠D

C.∠B and ∠C

D.∠C and ∠D

Q116

easyQuadrilateral Basics

How many diagonals does a quadrilateral have?

A.1

B.2

C.3

D.4

Q117

mediumRhombus Angle Calculation

If one angle of a rhombus is 80°, what is the measure of the adjacent angle?

A.80°

B.100°

C.160°

D.280°

Q118

hardSymmetry Properties

Which quadrilateral can have exactly one line of symmetry?

A.Square

B.Rectangle

C.Rhombus

D.Kite

Q119

easyInterior Angle Sum

What is the sum of interior angles of a quadrilateral?

A.180°

B.360°

C.540°

D.720°

Q120

easyDiagonal Bisection

In parallelogram ABCD, if diagonals intersect at O and AO = 5 cm, what is AC?

A.5 cm

B.10 cm

C.15 cm

D.20 cm

Q121

mediumRegular Polygon Characteristics

Which is NOT a characteristic of a regular polygon?

A.All sides equal

B.All angles equal

C.All diagonals equal

D.All exterior angles equal

Q122

hardRatio Problems

If ABCD is a parallelogram and ∠A : ∠B = 2 : 3, find ∠A.

A.60°

B.72°

C.108°

D.120°

Q123

mediumRegular Octagon

What is the measure of each exterior angle of a regular octagon?

A.40°

B.45°

C.60°

D.72°

Q124

mediumSquare Diagonal Formula

In a square with side length 6 cm, what is the length of each diagonal?

A.6 cm

B.6√2 cm

C.12 cm

D.36 cm

Q125

hardAngle Relationships

Which quadrilateral has opposite angles that are supplementary?

A.Parallelogram

B.Rectangle

C.Rhombus

D.Trapezium

Q126

mediumMinimum Angle

What is the minimum interior angle possible for a regular polygon?

A.60°

B.90°

C.108°

D.120°

Q127

mediumDiagonal Properties Comparison

In which quadrilateral do the diagonals NOT bisect each other?

A.Parallelogram

B.Rectangle

C.Rhombus

D.Trapezium

Q128

easy12-sided Polygon

If a polygon has 12 sides, what is the measure of each exterior angle if it's regular?

A.15°

B.30°

C.45°

D.60°

Q129

mediumIsosceles Trapezium

Which statement is true for isosceles trapezium?

A.All sides are equal

B.Non-parallel sides are equal

C.All angles are equal

D.Diagonals are perpendicular

Q130

easyShape Hierarchy

What is the relationship between a rhombus and a parallelogram?

A.A rhombus is not related to a parallelogram

B.A rhombus is a special type of parallelogram

C.A parallelogram is a special type of rhombus

D.They are completely different shapes

Q131

hardKite Diagonal Comparison

In kite ABCD with AB = AD = 5 cm and BC = CD = 8 cm, which diagonal is longer?

A.AC

B.BD

C.Both are equal

D.Cannot be determined

Q132

mediumRectangle Symmetry

How many lines of symmetry does a rectangle (that is not a square) have?

A.0

B.1

C.2

D.4

Q133

easyPie Chart Angles

In a pie chart, if a sector represents 25% of the data, what is its central angle?

A.25°

B.60°

C.90°

D.120°

Q134

easyBasic Probability

When a fair coin is tossed, what is the probability of getting a head?

A.0

B.1/3

C.1/2

D.1

Q135

mediumGraph Selection

Which type of graph is most suitable for showing the distribution of students' favorite subjects?

A.Line graph

B.Bar graph

C.Pictograph

D.All are equally suitable

Q136

mediumProbability with Objects

A bag contains 3 red balls and 2 blue balls. What is the probability of drawing a red ball?

A.2/5

B.3/5

C.1/2

D.3/2

Q137

mediumPie Chart Interpretation

In a pie chart showing monthly expenses, if food takes up 120°, what percentage of the budget is spent on food?

A.25%

B.30%

C.33.33%

D.40%

Q138

easyDice Probability

When a standard die is rolled, what is the probability of getting an even number?

A.1/6

B.1/3

C.1/2

D.2/3

Q139

easyCircle Properties

What is the sum of all central angles in a pie chart?

A.180°

B.270°

C.360°

D.540°

Q140

easySpinner Probability

A spinner has 4 equal sectors colored red, blue, green, and yellow. What is the probability of landing on blue?

A.1/8

B.1/4

C.1/3

D.1/2

Q141

mediumGraph Applications

Which graph type is best for showing changes in temperature over a week?

A.Bar graph

B.Line graph

C.Pie chart

D.Pictograph

Q142

mediumComplementary Probability

In a bag with 5 white balls and 3 black balls, what is the probability of NOT drawing a black ball?

A.3/8

B.5/8

C.2/3

D.3/5

Q143

mediumPie Chart Construction

If 30 students prefer cricket, 20 prefer football, and 10 prefer basketball, what angle would cricket occupy in a pie chart?

A.90°

B.120°

C.150°

D.180°

Q144

easyDice Events

What is the probability of getting a number greater than 4 when rolling a standard die?

A.1/6

B.1/3

C.1/2

D.2/3

Q145

mediumProbability Concepts

Which statement about equally likely outcomes is TRUE?

A.They always occur in exactly equal numbers

B.Each outcome has the same chance of occurring

C.They only apply to coin tosses

D.They guarantee specific results

Q146

easyPictograph Reading

In a pictograph, if 🚗 = 50 cars and there are 2.5 symbols for March, how many cars were sold in March?

A.100

B.125

C.150

D.200

Q147

mediumRandom Experiments

A random experiment is one where:

A.The outcome can be predicted exactly

B.The outcome cannot be predicted exactly in advance

C.Only two outcomes are possible

D.The results are always the same

Q148

mediumPrime Number Probability

What is the probability of getting a prime number when rolling a standard die?

A.1/6

B.1/3

C.1/2

D.2/3

Q149

easyDouble Bar Graphs

In a double bar graph, what is the main advantage?

A.Shows more colors

B.Uses less space

C.Compares two sets of data simultaneously

D.Is easier to construct

Q150

mediumAngle to Fraction

If a pie chart sector has a central angle of 72°, what fraction of the whole does it represent?

A.1/4

B.1/5

C.1/6

D.1/8

Q151

easyCoin Probability

What is the probability of getting a tail when flipping a fair coin?

A.0

B.1/4

C.1/2

D.1

Q152

mediumData Representation

Which type of data is best represented by a pie chart?

A.Data showing change over time

B.Data showing parts of a whole

C.Data comparing many categories

D.Data with negative values

Q153

easyMultiple Representation

A box contains 12 balls: 4 red, 3 blue, 3 green, and 2 yellow. What is the probability of drawing a blue ball?

A.1/4

B.1/3

C.3/12

D.Both B and C

Q154

mediumProbability Terminology

What is the difference between an outcome and an event?

A.They are the same thing

B.An outcome is a single result; an event can be one or more outcomes

C.An event is always more likely than an outcome

D.Outcomes are theoretical; events are practical

Q155

hardGraph Selection Strategy

In which situation would you use a bar graph instead of a pie chart?

A.Showing budget allocation

B.Comparing test scores of different students

C.Showing time distribution in a day

D.Displaying market share percentages

Q156

easyImpossible Events

What is the probability of rolling a 7 on a standard 6-sided die?

A.1/6

B.1/7

C.0

D.1

Q157

hardExperimental vs Theoretical

If you conduct a coin toss experiment 100 times and get 60 heads, what can you conclude?

A.The coin is definitely biased

B.This is normal variation; the coin could be fair

C.You made an error in counting

D.The next 100 tosses will give 40 heads

Q158

mediumAngle Calculation

In a pie chart showing favorite colors, if red occupies 90°, blue occupies 120°, and green occupies 150°, what angle does yellow occupy?

A.0°

B.90°

C.180°

D.Cannot be determined

Q159

mediumData Organization

What is the main purpose of organizing data systematically?

A.To make it look prettier

B.To reveal patterns and enable meaningful interpretation

C.To reduce the amount of data

D.To make calculations easier

Q160

mediumCombined Events

A bag contains 6 marbles: 2 red, 3 blue, and 1 green. What is the probability of drawing either a red or blue marble?

A.2/6

B.3/6

C.5/6

D.6/6

Q161

easyBar Graph Properties

Which property makes bar graphs useful for data comparison?

A.Different colored bars

B.Bar heights proportional to data values

C.Bars of different widths

D.Curved tops on bars

Q162

hardTheoretical vs Expected

What is the theoretical probability of getting exactly 50 heads in 100 coin tosses?

A.Very high

B.Exactly 1/2

C.Very low

D.Impossible to determine

Q163

easyPie Chart Construction

In constructing a pie chart, what is the first step?

A.Draw the circle

B.Calculate the total of all data values

C.Choose colors for sectors

D.Label the chart

Q164

mediumProbability Interpretation

A weather forecast says there's a 70% chance of rain. What does this mean?

A.It will rain for 70% of the day

B.70% of the area will get rain

C.If conditions were repeated 100 times, it would rain about 70 times

D.It will definitely rain

Q165

mediumGraph Advantages

Why might a pictograph be preferred over a bar graph?

A.It's more accurate

B.It's more visually appealing and easier to understand quickly

C.It takes less space

D.It shows more detailed information

Q166

mediumMultiple Event Outcomes

When rolling two dice, what is the total number of possible outcomes?

A.6

B.12

C.36

D.72

Q167

mediumPie Chart Characteristics

What makes a pie chart different from other types of graphs?

A.It uses colors

B.It shows the relationship between parts and a whole

C.It's circular in shape

D.It uses percentages

Q168

easyProbability Values

If an event has a probability of 0, it means:

A.It's very unlikely

B.It happens half the time

C.It's impossible

D.It needs more trials

Q169

mediumProbability Axioms

What is the sum of probabilities of all possible outcomes in any experiment?

A.0

B.0.5

C.1

D.It varies

Q170

easyLine Graph Applications

When is it appropriate to use a line graph?

A.Comparing different categories

B.Showing parts of a whole

C.Displaying changes over time

D.Counting discrete objects

Q171

easyCard Probability

A card is drawn from a standard 52-card deck. What is the probability of drawing an ace?

A.1/13

B.1/26

C.4/52

D.Both A and C

Q172

easyGraph Components

What information should always be included when creating any graph?

A.Bright colors

B.Title, labels, and scale

C.At least 10 data points

D.Computer-generated formatting

Q173

hardStatistical Concepts

How does sample size affect the reliability of experimental probability?

A.Larger samples give results closer to theoretical probability

B.Sample size doesn't matter

C.Smaller samples are more accurate

D.Only specific sample sizes work

Q174

easyPerfect Square Recognition

Which of the following numbers is a perfect square?

A.18

B.25

C.32

D.50

Q175

easyBasic Squares

What is the value of $7^2$?

A.14

B.49

C.77

D.343

Q176

mediumUnits Digit Pattern

Which digit can never appear at the units place of a perfect square?

A.4

B.6

C.7

D.9

Q177

mediumAlgebraic Method

Find the square of 23 using the identity $(a + b)^2 = a^2 + 2ab + b^2$.

A.529

B.525

C.535

D.546

Q178

mediumSpecial Pattern

What is $35^2$ using the pattern for numbers ending in 5?

A.1225

B.1235

C.1215

D.1245

Q179

easyBasic Square Roots

What is $\sqrt{81}$?

A.7

B.8

C.9

D.10

Q180

mediumPythagorean Triplets

Which of the following is a Pythagorean triplet?

A.(2, 3, 4)

B.(5, 12, 13)

C.(6, 7, 8)

D.(1, 2, 3)

Q181

easyOdd Number Sum Pattern

The sum of first 4 odd numbers is:

A.8

B.10

C.16

D.20

Q182

mediumSquare Range Analysis

How many perfect squares lie between 100 and 200?

A.8

B.9

C.10

D.11

Q183

hardPrime Factorization Method

Using prime factorization, find $\sqrt{324}$.

A.16

B.17

C.18

D.19

Q184

hardPerfect Square Adjustment

Which number should be subtracted from 1000 to make it a perfect square?

A.36

B.39

C.44

D.51

Q185

easySquare Root Definition

If $\sqrt{n} = 12$, what is the value of $n$?

A.24

B.144

C.156

D.288

Q186

mediumDecimal Square Roots

The square root of 0.64 is:

A.0.8

B.0.08

C.8

D.0.32

Q187

mediumZero Patterns

Which of the following numbers has an even number of zeros?

A.1000

B.Square of 1000

C.Both A and B

D.Neither A nor B

Q188

mediumRepeated Subtraction

Using the repeated subtraction method, how many steps are needed to find $\sqrt{49}$?

A.6

B.7

C.8

D.9

Q189

hardTriplet Generation

Generate a Pythagorean triplet using $m = 4$ in the formula $(2m, m^2 - 1, m^2 + 1)$.

A.(8, 15, 17)

B.(8, 16, 18)

C.(6, 15, 17)

D.(8, 14, 16)

Q190

easyGeometric Application

What is the side length of a square whose area is 196 square units?

A.12 units

B.13 units

C.14 units

D.15 units

Q191

mediumSquare Root Estimation

Between which two consecutive integers does $\sqrt{50}$ lie?

A.6 and 7

B.7 and 8

C.8 and 9

D.5 and 6

Q192

easyReal-world Application

If a gardener wants to arrange 144 plants in a square formation, how many plants will be in each row?

A.11

B.12

C.13

D.14

Q193

mediumDifference of Squares

What is $(15)^2 - (14)^2$?

A.28

B.29

C.30

D.31

Q194

mediumNumbers Between Squares

How many non-square numbers lie between $8^2$ and $9^2$?

A.15

B.16

C.17

D.18

Q195

hardIrrational Square Roots

Which of the following is true about the square root of an irrational number?

A.It is always rational

B.It is always irrational

C.It can be rational or irrational

D.It is undefined

Q196

mediumLarge Number Squares

Find the square of 102 using $(a + b)^2$ identity.

A.10404

B.10400

C.10408

D.10444

Q197

hardPythagorean Theorem

In a right triangle, if two sides are 5 and 12, what is the third side?

A.13

B.17

C.7

D.Both A and C possible

Q198

hardPerfect Square Divisibility

What is the smallest perfect square that is divisible by 2, 3, and 5?

A.30

B.90

C.900

D.3600

Q199

mediumMethod Selection

Which method is most efficient for finding $\sqrt{1296}$?

A.Repeated subtraction

B.Prime factorization

C.Long division

D.Estimation

Q200

mediumPerfect Square Recognition

If $n^2 = 2025$, what is the value of $n$?

A.43

B.44

C.45

D.46

Q201

mediumConstruction Application

A construction worker needs to check if a corner is perfectly square. If two adjacent sides are 3m and 4m, what should the diagonal measure?

A.5m

B.6m

C.7m

D.25m

Q202

hardPowers and Roots

Express 1024 as a power of 2 and find its square root.

A.16

B.32

C.64

D.128

Q203

mediumSquare Properties

Which of the following statements about square numbers is FALSE?

A.The sum of first n odd numbers is n²

B.Square of an odd number is always odd

C.Square numbers can end in any digit

D.Difference between consecutive squares increases by 2

Q204

hardPractical Problem

If the area of a square field is 6400 square meters, what is the cost of fencing it at ₹25 per meter?

A.₹8000

B.₹8400

C.₹8800

D.₹9000

Q205

mediumFraction Square Roots

What is the value of $\sqrt{\frac{16}{25}}$?

A.$\frac{4}{5}$

B.$\frac{5}{4}$

C.$\frac{16}{25}$

D.$\frac{8}{15}$

Q206

hardTriangular Number Pattern

Using triangular numbers, what is $6^2$?

A.36

B.21

C.15

D.28

Q207

hardRange Analysis

What is the square root of the largest 4-digit perfect square?

A.97

B.98

C.99

D.100

Q208

easyDecimal Operations

If $\sqrt{a} = 0.7$, what is the value of $a$?

A.0.49

B.0.07

C.4.9

D.7

Q209

mediumFactorization Application

In how many ways can 36 identical square tiles be arranged to form a rectangle?

A.4

B.5

C.8

D.9

Q210

easySquare Sequence

What is the next perfect square after 289?

A.324

B.361

C.400

D.441

Q211

hardAlgebraic Application

A farmer has a square plot of land. If he increases each side by 10 meters, the area increases by 1000 square meters. What was the original side length?

A.40m

B.45m

C.50m

D.55m

Q212

mediumApproximation

Which of the following is closest to $\sqrt{150}$?

A.12

B.12.2

C.12.5

D.13

Q213

mediumSubtraction Identity

Using the identity $(a - b)^2 = a^2 - 2ab + b^2$, find $97^2$.

A.9409

B.9400

C.9416

D.9425

Q214

easyGeometric Calculation

If the perimeter of a square is 48 cm, what is its area?

A.144 cm²

B.192 cm²

C.216 cm²

D.256 cm²

Q215

mediumPerfect Square Completion

What is the smallest number that must be added to 1000 to make it a perfect square?

A.24

B.25

C.44

D.124

Q216

mediumVerification Methods

Which property helps verify that 1369 is a perfect square?

A.It ends in 9

B.Sum of digits is 19

C.It equals $37^2$

D.All of the above

Q217

mediumSpecial Right Triangle

In an isosceles right triangle with legs of length 8, what is the length of the hypotenuse?

A.$8\sqrt{2}$

B.$16$

C.$8\sqrt{3}$

D.$64$

Q218

hardDigital Root Pattern

What is the digital root pattern for perfect squares?

A.Always 1, 4, 7, or 9

B.Always 1, 4, or 9

C.Always odd numbers

D.No specific pattern

Q219

hardAdvanced Number Theory

If a number is both a perfect square and a perfect cube, what can we say about it?

A.It must be 1

B.It must be a perfect sixth power

C.It's impossible

D.It must be even

Q220

easyHardy-Ramanujan Number

What is the Hardy-Ramanujan number?

A.1728

B.1729

C.1000

D.729

Q221

easyBasic Cubes

What is $5^3$?

A.15

B.25

C.125

D.625

Q222

easyPerfect Cube Recognition

Which of the following numbers is a perfect cube?

A.100

B.216

C.500

D.300

Q223

mediumUnits Digit Pattern

What is the units digit of $7^3$?

A.1

B.3

C.7

D.9

Q224

mediumHardy-Ramanujan Applications

Express 1729 as a sum of two cubes in a different way than $1^3 + 12^3$.

A.$9^3 + 10^3$

B.$8^3 + 11^3$

C.$7^3 + 12^3$

D.$6^3 + 13^3$

Q225

easyBasic Cube Roots

What is $\sqrt[3]{64}$?

A.4

B.6

C.8

D.16

Q226

mediumCube Range Analysis

How many perfect cubes are there between 1 and 1000?

A.9

B.10

C.11

D.12

Q227

mediumUnits Digit Pattern

If a number ends in 2, what will its cube end in?

A.2

B.4

C.6

D.8

Q228

hardPrime Factorization Method

Using prime factorization, find $\sqrt[3]{8000}$.

A.15

B.18

C.20

D.25

Q229

mediumOdd Number Sum Pattern

What is the sum of the first 3 odd numbers using the cube pattern?

A.$2^3$

B.$3^3$

C.Not applicable

D.$1^3$

Q230

mediumPerfect Cube Testing

Is 243 a perfect cube?

A.Yes

B.No

C.Only if multiplied by 3

D.Cannot determine

Q231

hardCreating Perfect Cubes

What is the smallest number by which 392 must be multiplied to make it a perfect cube?

A.2

B.7

C.14

D.49

Q232

easyNegative Number Cubes

What is $(-3)^3$?

A.9

B.-9

C.27

D.-27

Q233

mediumVolume Applications

How many cubes of side 1 cm are needed to make a cube of side 4 cm?

A.16

B.32

C.48

D.64

Q234

hardOdd Number Pattern

Using the consecutive odd number pattern, what odd numbers sum to $4^3$?

A.13, 15, 17, 19

B.9, 11, 13, 15

C.11, 13, 15, 17

D.7, 9, 11, 13

Q235

mediumNegative Cube Roots

What is $\sqrt[3]{-27}$?

A.3

B.-3

C.No real solution

D.±3

Q236

easyGeometric Application

If the volume of a cube is 343 cm³, what is the length of its side?

A.6 cm

B.7 cm

C.8 cm

D.9 cm

Q237

mediumCreating Perfect Cubes

By what smallest number should 81 be divided to make it a perfect cube?

A.3

B.9

C.27

D.81

Q238

easyCube Root Definition

What is the cube of a number if its cube root is 15?

A.225

B.3375

C.45

D.2250

Q239

mediumCube Properties

Which statement about cubes is TRUE?

A.Cubes of even numbers are always odd

B.Cubes of odd numbers are always even

C.Cubes of odd numbers are always odd

D.All cubes end in 0

Q240

hardPrime Factorization Method

Find $\sqrt[3]{13824}$ using prime factorization.

A.22

B.24

C.26

D.28

Q241

hardHardy-Ramanujan Numbers

What is the next Hardy-Ramanujan number after 1729?

A.4104

B.4105

C.5000

D.3000

Q242

mediumCube Range Analysis

How many perfect cubes are there between 100 and 1000?

A.4

B.5

C.6

D.7

Q243

mediumUnits Digit Pattern

What is the units digit of $23^3$?

A.3

B.7

C.9

D.1

Q244

mediumVolume Scaling

A cube has volume 1000 cm³. If each dimension is doubled, what is the new volume?

A.2000 cm³

B.4000 cm³

C.6000 cm³

D.8000 cm³

Q245

mediumCube Differences

Using pattern, what is $6^3 - 5^3$?

A.91

B.90

C.89

D.92

Q246

hardDecimal Cube Roots

What is $\sqrt[3]{0.008}$?

A.0.02

B.0.2

C.0.04

D.0.4

Q247

hardCreating Perfect Cubes

Which number should be multiplied to 500 to make it a perfect cube?

A.2

B.4

C.20

D.25

Q248

hardGeometric Application

In a cube, if the surface area is 294 cm², what is the volume?

A.343 cm³

B.512 cm³

C.729 cm³

D.1000 cm³

Q249

hardRange Analysis

What is the cube root of the largest 4-digit perfect cube?

A.19

B.20

C.21

D.22

Q250

mediumCube Root Estimation

Between which two consecutive integers does $\sqrt[3]{100}$ lie?

A.3 and 4

B.4 and 5

C.5 and 6

D.6 and 7

Q251

easyBasic Cube Roots

If $a^3 = 216$, what is $a$?

A.4

B.5

C.6

D.7

Q252

mediumCube Patterns

What pattern do perfect cubes ending in 000 follow?

A.They are cubes of multiples of 10

B.They are cubes of multiples of 100

C.No specific pattern

D.They are all divisible by 9

Q253

mediumVolume Packing

How many small cubes of edge 2 cm can fit in a large cube of edge 8 cm?

A.16

B.32

C.48

D.64

Q254

hardSum Pattern Application

Using the sum pattern, which consecutive odd numbers sum to $5^3$?

A.21, 23, 25, 27, 29

B.19, 21, 23, 25, 27

C.17, 19, 21, 23, 25

D.23, 25, 27, 29, 31

Q255

mediumPerfect Cube Ordering

What is the smallest perfect cube greater than 500?

A.512

B.729

C.1000

D.343

Q256

mediumCube Root Calculation

If $n^3 = 2197$, what is $n$?

A.11

B.12

C.13

D.14

Q257

easyNegative Cubes

What is the cube of -4?

A.64

B.-64

C.16

D.-16

Q258

mediumPrime Factorization Analysis

By prime factorization, is 1000 a perfect cube?

A.Yes

B.No

C.Only when divided by 2

D.Cannot determine

Q259

mediumSign Properties

What is the relationship between $n^3$ and $(-n)^3$?

A.They are equal

B.They are opposites

C.One is always larger

D.No relationship

Q260

hardPractical Application

If a cuboid has dimensions 5 cm × 2 cm × 5 cm, how many such cuboids are needed to form a cube?

A.2

B.4

C.8

D.10

Q261

easyMathematical Notation

Which of the following represents the cube root symbol correctly?

A.$\sqrt{3}$

B.$\sqrt[3]{}$

C.$^3\sqrt{}$

D.$\sqrt{^3}$

Q262

mediumSum of Cubes

What is the sum $1 + 8 + 27 + 64 + 125$?

A.225

B.215

C.235

D.245

Q263

mediumDecimal Cubes

The cube root of which number is 2.5?

A.6.25

B.15.625

C.18.75

D.25

← Back to Mathematics 🎲 Try Random Quiz