Class 7 Maths questions with answers

225 NCERT Class 7 Maths questions with answers, chapter by chapter, from Large Numbers Around Us to Finding the Unknown.

How to teach Class 7 Maths · Class 7 Maths common misconceptions

• Chapter 1: Large Numbers Around Us

  15 questions, 1 with pictures · One lakh and the boundaries between digit lengths · Sizing a large quantity against a familiar one · Indian place value notation: commas and number names · Building a number from tens, hundreds and thousands · Lakhs and crores against millions and billions · Exact and approximate values, and nearest neighbours · Making a multiplication easier by regrouping its factors · How many digits a product can have

• Chapter 2: Arithmetic Expressions

  15 questions · An arithmetic expression and the value it stands for · Comparing expressions by the numbers they stand for · Comparing without evaluating, by tracking the changes · Splitting an expression into its terms · Terms may be added in any order and any grouping · Brackets say which part is worked out first · What happens to the signs when brackets come out · A multiple of a sum is the sum of the multiples

• Chapter 3: A Peek Beyond the Point

  15 questions, 2 with pictures · Splitting a tenth into ten equal parts · Splitting a unit into ten equal parts · Adding and subtracting decimals by place · When a zero changes the value and when it does not · Writing a plain count of tenths or hundredths in decimal form · Placing decimals on a number line and comparing them · Converting between units with a decimal point · Numbers written with a point that are not decimals · The decimal point and the places on either side of it

• Chapter 4: Expressions Using Letter-numbers

  15 questions, 4 with pictures · A letter standing in for a number · The simplest form, and when two expressions are equal · Turning a described situation into an expression · Relationships between positions in a grid · Finding the value of an expression · Like terms and unlike terms · Opening brackets in an algebraic expression · Writing an expression for a pattern · Writing 4 x n as 4n

• Chapter 5: Parallel and Intersecting Lines

  15 questions, 12 with pictures · What happens where two lines cross · Lines that cross at right angles · Lines that never meet · Building parallels and perpendiculars · Angles on opposite sides of the transversal · One line crossing two others · Angles in matching positions · The two angles between the lines on one side

• Chapter 6: Number Play

  15 questions, 1 with pictures · Numbers that describe an arrangement · The sequence that counts rhythms · Whether a difference comes out odd or even · Whether a product comes out odd or even · Whether a sum comes out odd or even · Expressions that are always odd, always even, or neither · What the sums around a grid must obey · The shape a magic square is forced into · Letters standing for digits

• Chapter 7: A Tale of Three Intersecting Lines

  15 questions, 9 with pictures · Building a triangle from two angles and the side between them · Building a triangle from two sides and the angle between them · Heights of a triangle, and the names its shape earns · The angle made when a side is extended · The three angles of any triangle add to 180 degrees · What a triangle is and how it is named · Why two arcs find the third corner · What the two circles do when a triangle is impossible · When three lengths can be the sides of a triangle

• Chapter 8: Working with Fractions

  15 questions · A fraction of a fraction, and what is left over · Multiplying a fraction and a whole number · Multiplying two fractions · Cancelling common factors, and lowest form · Whether a product is larger or smaller than what was multiplied · Brahmagupta's formula for dividing fractions · Choosing the operation, and which way round the division goes · Division read as a multiplication question, and the reciprocal · Whether a quotient is larger or smaller than the dividend

• Chapter 9: Geometric Twins

  15 questions, 8 with pictures · Which measurements fix a figure · What it means for two figures to be congruent · The SSS condition · Writing a congruence the right way round · The RHS condition for right triangles · The SAS condition and the included angle · The angle conditions ASA and AAS · Angles opposite equal sides · Finding the equal parts a figure already gives

• Chapter 10: Operations with Integers

  15 questions · Two numbers from their sum and their difference · A movement carries a size and a direction · Signed quantities in a situation · The token model for multiplication · The pattern that extends the tables past zero · Division of integers · The sign of a product of several integers · The sign of a product of two integers · Commutative, associative and distributive

• Chapter 11: Finding Common Ground

  15 questions · Common factors, and the highest of them · The HCF: common primes, fewest occurrences · When the HCF or the LCM is one of the two numbers · Prime factorisation, and why the route does not matter · Common multiples, and the lowest of them · Every factor is a subpart of the prime factorisation · The LCM: every prime, most occurrences · One ladder that gives both the HCF and the LCM · The HCF times the LCM is the product

• Chapter 12: Another Peek Beyond the Point

  15 questions · Carrying a decimal through a situation · When a product is larger, and when it is smaller · Multiplying and dividing by 10, 100 and 1000 · A decimal is a sum of place value parts · Carrying a long division past the ones place · Where the point goes in a product · Getting rid of a decimal in the divisor · Divisions that never end · When a quotient comes out bigger than the dividend

• Chapter 13: Connecting the Dots

  15 questions, 3 with pictures · What makes a question statistical · The mean as a fair share · What the data does and does not justify · The median of sorted data · What counts as a value · Outliers, and which measure moves · The scale a graph is drawn to · The spread of the data · Reading a clustered bar graph

• Chapter 14: Constructions and Tilings

  15 questions, 13 with pictures · Bisecting an angle · What the perpendicular bisector is made of · Which angles a ruler and compass reach · Which radii must be equal, and which need not · A right angle at a point that is already fixed · Angles that fill the space around a point · Copying an angle · A parallel line from a copied angle · Tiling a grid with 2x1 tiles

• Chapter 15: Finding the Unknown

  15 questions · Turning a situation into an equation · Using a known equation without solving it · Checking, and what counts as a solution · The same operation on both sides · Removing a factor or a divisor · Unknowns on both sides · Equations with brackets · Moving a term across the equals sign · What a balanced scale asserts