All Questions

How many zeros are there in one lakh when written in digits?

If you eat 2 varieties of rice each day, how many varieties will you taste in 100 years (ignoring leap years)?

According to the 2011 Census, Chintamani had 75,000 people. How much less is this than one lakh?

The estimated population of Chintamani in 2024 is 106,000. How much more is this than one lakh?

Which floor count approximates Somu’s building height if Somu is 1 m tall and each floor is four times his height, given the building height is plotted up to 500 m?

Write 3,00,600 in words using the Indian system.

Convert ‘one lakh twenty three thousand four hundred and fifty six’ into digits (Indian system).

How many times press the +1000 button to reach 90,000 on the Thoughtful Thousands calculator?

On the Tedious Tens calculator, how many presses to show 780?

Find two different expressions to get 5072 using Creative Chitti’s buttons.

What is the smallest number of button presses to get 8300 on Systematic Sippy?

How many zeros are there in one crore when written in Indian format?

Read 4050678 in Indian place value notation and write its name in the American system.

Which estimate is closer for 463,128 + 419,682: near 800,000 or near 900,000?

Convert 14,63,128 – 4,90,020 exactly.

Which city’s population almost doubled between 2001 and 2011 in the given table?

What pattern is observed when multiplying 1111 × 1111?

Calculate 116 × 5 quickly using the shortcut shown.

Multiply 824 × 25 using division shortcut.

What is 1250 × 380? (fact about Purandaradāsa)

The average Amazon discharge per second is given by 6400 × 62,500. What is this product?

Could Mumbai’s population fit into 100,000 buses of 50 people each?

If you travel 100 km per day, how far in 10 years ignoring leap years?

Using 250 babies born per minute, will one million babies be born in a day?

Can you count one million coins in a day at one coin per second?

How many stick segments make the digit 7 in the toothpick activity?

Starting from 42,019 (23 sticks), adding two sticks yields 42,078. What is another valid bigger number?

Where to insert ‘1’ in 4 2 0 1 9 to get the largest number?

Using digits 0–9 once, what is the largest multiple of 5?

How many lakhs make a billion in Indian system?

What is the nearest lakh to 6,72,85,183?

Which American comma placement corresponds to Indian 1,00,00,000?

In the table of city populations, which city was ranked 5th in 2011?

Which large number name originates from Sanskrit lakṣha?

Write the seven nearest neighbours (thousand to crore) for 3,87,69,957: what is the nearest crore?

What is the name for 1,000,000 in the Indian system?

Estimate whether 4,63,128 + 4,19,682 is greater or less than 8,50,000.

What is the product of 101 × 101?

Which button combination gives the fewest presses for 20,800 on Systematic Sippy?

If a paper sheet weighs 5 g, can you lift 100,000 sheets at once?

How many days for a bar-tailed godwit to fly 13,560 km at approx. 1,200 km/day?

How many stick segments to write 5108 in toothpick digits?

What is the smallest five-digit number?

Which of the following best defines an arithmetic expression?

What is the value of the expression 13 + 2?

In 5 × 25, the operation is read as:

Which of these is NOT a correct way to express 12 using two numbers and one operation?

Fill in the blank to make the equality true: 13 + 4 = ____ + 6

Which symbol correctly compares 10 + 2 and 7 + 1?

Who has more marbles? 1023 + 125 or 1022 + 128?

Evaluate 113 – 25 and 112 – 24. What is the relationship between them?

What is the value of the expression 30 + (5 × 4)?

Which rule explains why swapping the terms in 6 + 4 gives the same result as 4 + 6?

What are the terms in the expression 83 – 14?

Evaluate 100 – (15 + 56).

Removing the brackets: 200 – (40 + 3) equals

Evaluate 500 – (250 – 100) by removing brackets.

Which expression uses the distributive property correctly?

In the expression 4 + 100 ÷ 2, which operation is performed first?

How many 2 kg packets can be made from 100 kg of rice plus 4 existing packets?

Which expression represents paying ₹432 using 4×100 + 1×20 + 1×10 + 2×1?

What does the associative property of addition state?

Evaluate 48 – 10 × 2 + 16 ÷ 2 using order of operations.

If a friend joins Lhamo and Norbu, what expression gives total cost of cutlet+rasgulla for 3 people?

Which of these equals (4 + 3) × 5?

Fill in: 24 – (6 + 4) = 24 – 6 ___ 4

Without calculating, which has greater value: (8 – 3) × 29 or (3 – 8) × 29?

Which expression equals (16 – 11) × 12?

Word problem: A market gets 9 kg from Rahim and 11 kg from Shyam every day. How much in a week?

Melvin reads 2 pages daily except Tuesdays and Saturdays. In 8 weeks how many pages?

Which pair of expressions are equal without calculation?

Evaluate 6 × 3 – 4 × 5 using order of operations.

Which of these expressions equals 83 – 37 – 12?

Using three 3’s and operations, which gives 2?

What is the sum of terms in 28 – 7 + 8 when written as terms?

Which describes why 14 × 10 – 6 × 10 = (14 – 6) × 10?

Fill in blanks: 5 × (9 – 2) = 5 × 9 ___ 5 × 2

Why does changing the order of addition terms not change the sum?

Which expression gives the height if window parts are 3 cm + 2 cm + 5 cm?

Evaluate 39 – 2 × 6 + 11 without brackets.

In token model, subtracting a number equals adding its inverse. What is inverse of –14?

Which of these shows removal of negative bracket correctly: 100 – (15 + 56)?

Which equation uses brackets to clarify order in 30 + 5 × 4?

Which is the correct ascending order of values: 67 – 19, 67 – 20, 35 + 25, 5 × 11, 120 ÷ 3?

Which story situation matches the expression 89 + 21 – 10?

In “Fire in the mountain” game, if Ruby writes 6 × 5 + 3, what does 3 represent?

Which expression correctly describes Irfan’s change: biscuit ₹15, dal ₹56, paid ₹100?

Which fill-in matches 27 – (8 + 3) = 27 – 8 ___ 3?

Which is NOT a valid result of 3 × (6 + 7)?

Which two expressions are equal by reasoning, not calculation?

Which practice illustrates commutative property of addition?

Fill in: (9 + 2) × 4 = 9 × 4 ___ 2 × 4

Which statement summarizes the chapter on arithmetic expressions?

When two straight lines intersect on a plane what is the point at which they meet called

How many angles are formed when two lines intersect

What do you call pairs of adjacent angles formed by intersecting lines that add up to one hundred eighty degrees

Which angles are called vertically opposite angles

If angle a is one hundred twenty degrees what is the measure of its vertically opposite angle c

What is the term for two lines that intersect at right angles

What is the measure of each angle when two lines intersect and all four angles are equal

What do you call a line that intersects two other lines

How many angles are formed when a transversal intersects two lines

Which of these pairs are corresponding angles when a transversal intersects two lines

When two lines are parallel what is true about all pairs of corresponding angles formed by a transversal

If corresponding angles are equal what can you conclude about the two lines

What are alternate interior angles

When lines are parallel what is true about pairs of alternate interior angles

What is the sum of interior angles on the same side of the transversal when the lines are parallel

Which of these is not a reason measurement of angles in a hands on activity may not be exact

In paper folding activity how many parallel lines do you get after two horizontal folds on a square sheet

Which notation denotes two sets of parallel lines in a figure

What is the key property used to prove lines are parallel using a transversal and tracing paper

In example where angle six equals one hundred thirty five degrees what is the measure of angle two

In figure with parallel lines and transversal if one interior angle is fifty degrees what is its supplementary interior angle on the same side

What type of angle is formed when two perpendicular lines intersect

Which lines never meet however far extended on a plane

In drawing parallel lines with a set square which angle is measured between the set square edge and reference line

What is the relationship between alternate angles when a transversal intersects parallel lines

In the summary what angle sum property is listed for linear pairs

What property of corresponding angles is both necessary and sufficient to establish parallelism

Which example shows lines are not parallel due to unequal corresponding angles

In figure five point two what angles are a linear pair

What tools are suggested for checking equality of corresponding angles

Which angle in figure five point fourteen corresponds to angle two

What is the maximum number of distinct angle measures formed when a transversal intersects two lines

What is the first step to draw a line parallel to a given line through a point using paper folding

After folding a perpendicular to the given line what is the next fold to obtain a parallel line

Which angles are called alternate exterior angles

What is true about alternate exterior angles when lines are parallel

In figure five point twenty six what pair of angles are corresponding

Which angle is the alternate interior of angle e in figure five point twenty five

What do we call the ideal mathematical concept of a line that has no thickness

Which discipline is not mentioned as an application of geometry in the chapter introduction

What pattern do you observe for the number of parallel lines after successive horizontal folds

Which angle relationship justifies lines are perpendicular using set square

In the activities section what is the main objective of paper folding tasks

What do we call the angle of a straight line

Which example problem uses the sum of interior angles to find unknown angles in a quadrilateral

In the figure it out questions why might it be challenging to draw lines parallel to inclined segments on rectangular dot sheet

Which of these is not part of the chapter summary

What is the name given to the corner points of a triangle?

Which construction tool is essential for drawing arcs of given radius?

In an equilateral triangle all sides are equal. What else is equal?

What is the length of each side when constructing an equilateral triangle of side 4 cm?

Which step directly gives the third vertex in compass construction of a triangle if two sides are given?

What condition must three lengths satisfy to form a triangle?

Which set of lengths cannot form a triangle?

What is the third angle of a triangle if the other two are 50° and 70°?

Which construction uses two angles and the included side?

When drawing the altitude from a vertex, which tool ensures a right angle?

What type of triangle has exactly two equal sides?

Which case describes circles touching at exactly one point during triangle construction?

In SAS construction, what does SAS stand for?

Which inequality must hold for lengths a, b, c to form a triangle?

What is an exterior angle of a triangle?

If two angles of a triangle are 75° and 60°, what is the third?

What is the altitude of a triangle?

Which triangle has all angles acute?

Which construction case leads to no triangle formation?

In the construction of a triangle given two sides and included angle, which step comes first?

Which type of triangle has one right angle?

What is the measure of each angle in an equilateral triangle?

Which pair of angles cannot be adjacent angles of a triangle if their sum ≥ 180°?

What conclusion can be drawn if sum of two given angles is less than 180°?

Which technique validates existence of a triangle without actual construction?

Which figure is obtained by drawing a line through a vertex parallel to the opposite side?

Which pair of given sides and included angle can sometimes fail to construct a triangle?

How many types of triangles are there based on side lengths?

In the context of triangle constructions, SSS stands for?

Which property ensures the sum of interior angles of any triangle is 180°?

What does the construction ‘ASA’ guarantee in triangle formation?

Which triangle classification is based on angle measures only?

Which inequality comparison is unnecessary once the largest side is verified?

What does an obtuse-angled triangle have?

Which method uses paper folding to demonstrate angle sum property?

In triangle ABC, if AB = AC and angle B = angle C, what type is it?

Which construction cannot determine a triangle uniquely?

What is the name for a triangle with all sides of different lengths?

Which relation describes Case 2 where circles do not intersect in side-side construction?

What is the angle between the extension of one side and the adjacent side called?

Which type of triangle construction uses two sides and non-included angle?

What must be true for an equilateral triangle to exist with any given side length?

Which diagrammatic step proves that sum of interior angles equals 180°?

What happens when you attempt to construct a triangle with sides 3 cm, 4 cm, and 8 cm?

Which pair of angles can always form a triangle with some side length?

Which technique checks existence of a triangle by comparing largest side and sum of others?

What is the least value of external angle B that prevents triangle formation with angle A fixed at 40°?

Which practice exercise asks to construct triangle with sides 3 cm, 4 cm, and 5 cm?

Which figure in exercises illustrates alternate interior angles with parallels?

What is proven by constructing full circles in triangle side-side cases?

Which condition ensures two circles intersect at two points internally?

Aaron walks 3 km in 1 hour. How far can he walk in 5 hours?

A tortoise walks at 1/4 km per hour. How far does it walk in 3 hours?

Compute 2/5 × 3.

What is 3 × 1/5?

Compute (2/5) × 3 again using the divide-then-multiply method. Which is the first step?

A farmer gives each of 5 grandchildren 2/3 acre. How much land in all?

Internet time costs ₹8 per hour. How much does 1 1/4 hours cost?

What is the general rule for multiplying two fractions a/b × c/d?

What is 1/2 × 1/4?

Calculate 3/4 × 2/5.

Find 5/12 × 7/18.

Simplify 12/7 × 5/24.

What is the reciprocal of 3/5?

Compute 2/3 ÷ 3/5.

What is 1/5 ÷ 1/2?

To divide by a fraction, you multiply by its ________.

Which step should you do first when multiplying fractions to simplify?

What is 6 ÷ 1/4?

Aaron’s distance in 1/5 hour at 3 km/h is:

Area of a rectangle with sides 1/2 and 1/4 is:

A tap fills 7/10 of a tank per hour. How much in 1/3 hour?

If government takes 1/6 of Somu’s land, what remains?

Somu gives half of her remaining land (5/6) to her daughter. What part of original land is that?

Somu gives 1/3 of her remaining (5/6) to her son. What part of original does he get?

How much did Somu keep after giving to children? (5/6 −5/12−5/18)

Car runs 16 km per litre. How far with 2 3/4 L?

Train takes 5 1/6 h, plane 1/2 h. How many hours saved?

What is 1/3 ÷ 1/6?

Evaluate 3 ÷ 7/9.

What is 1/4 ÷ 2/2?

Who first stated the general rule for fraction multiplication?

In which work did Brahmagupta state fraction multiplication?

Who wrote Līlāvatī?

What does apavartana refer to?

If both numbers >1, their product is:

If both numbers are between 0 and 1, their product is:

If one number >1 and one between 0 and 1, product is:

Which property explains a/b × c/d = c/d × a/b?

What is 7/10 × 3/4?

Simplify 21/40 (from previous question).

What is 4 × 3/5?