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Scholastic Excellence Assessment

Math · Grade Seven

Grade Seven Maths

Master Grade Seven Math with Confidence on SEA! Browse all Grade Seven Math skills by topic and start practicing in just one click. SEA adapts to your child's progress, making each question appropriately challenging while keeping learning fun and engaging.

Topic1

Large Numbers Around Us

Count up to the edge of the numbers you know, then step over it and meet the lakh.

1
Warm-up: Counting up to the edge (Foundations)
2
A Lakh Varieties! (Hook and Guess)
3
Gaps and Distances (Subtraction with Lakh as Benchmark)
4
Getting a Feel for Large Numbers (Scale and Comparison)
5
Reading and Writing Numbers (Indian Place Value)
6
Land of Tens: Calculators with Special Buttons
7
Creative Chitti: Many Ways to Make a Number
8
Systematic Sippy: Fewest Clicks
9
Crores and Arabs (Going Beyond Lakh)
10
Two Systems, One Number (Indian and International)
11
Reading and Writing Very Large Numbers (Fluency)
12
Exact or Approximate? (Rounding with Purpose)
13
Nearest Neighbours
14
Estimation Before Calculation
15
Reading Data: Populations of Cities
16
Patterns in Products (Multiplication Shortcuts)
17
How Long Is the Product? (Digit Patterns)
18
Fascinating Facts (Big Multiplication and Division)
19
Did You Ever Wonder…? (Thought Experiments)
20
Puzzle Zone and Pro Level
21
Review, Reflect, Retell (Capstone)

Topic2

Operations with Integers

Strike carrom coins along the number line, meet negative numbers, and play detective with sums and differences.

1
Number Detective
2
Moving on the Number Line
3
Tokens: Our Friendly Tool
4
Multiplication with the Magic Bag
5
Discovering Patterns in Multiplication
6
Sign Rules & Properties
7
Integers in Real Life
8
Division of Integers
9
Three or More Integers (Properties)
10
Expressions & Pattern Machines
11
Puzzles & Magic
12
Pro Level & Reasoning

Topic3

Arithmetic Expressions

Start from something you can see and feel: number phrases, the value they stand for, and what "=" really says.

1
What is an expression? (Foundations)
2
Comparing expressions (Greater, Less or Equal)
3
Why do we need rules? (The Confusion Problem)
4
Brackets (Maths Punctuation)
5
Terms (The Building Blocks of an Expression)
6
Brackets version2 (Maths Punctuation)
7
Terms version2 (The Building Blocks of an Expression)
8
Swapping and Grouping (Order of Addition)
9
Evaluating with × and ÷ (Terms First)
10
Expressions in Real Life (Story ↔ Expression)
11
Removing Brackets I (When There’s a Minus Before)
12
Removing Brackets II (When There’s a Plus Before)
13
Tinker the Terms I (What Happens If One Term Changes?)
14
The Distributive Property (Sharing a Multiplication)
15
Tinker the Terms II & Speedy Multiplication
16
Comparing with Reasoning (Advanced)
★
Spot the Mistake (Expression Edition)
17
Estimate and Check
18
Puzzles and Pro Level

Topic4

Expressions using Letter-Numbers

Letters can stand for numbers too! Say it in words, build formulas from real situations, and plug numbers in.

1
What is a letter-number?
2
Words ↔ Expressions
3
Formulas from Real Situations
4
Revisiting Arithmetic Expressions
5
Shorthand & Substitution
6
Mind the Mistake (Substitution)
7
Like Terms & Simplifying
8
Area Models & the Distributive Property
9
Brackets with a Negative Sign & Subtracting Expressions
10
Charu & Krishita Scores
11
Are Two Expressions Equal?
12
Mind the Mistake (Simplifying)
13
Formula Detective
14
Patterns that Repeat
15
Matchstick Patterns
16
Calendar & Grid Patterns
17
Applied & Pro Level

Topic5

Finding the Unknown

Play with mystery boxes and balance scales, and discover how to find a hidden number.

1
Something is hidden! (Feeling the idea of an unknown)
2
Unknown weights on a scale
3
Sacks, plates, and “remove from both sides”
4
Patterns that hide an unknown (Matchsticks and tiles)
5
From pictures to letters (Letter-numbers)
6
What is an equation? (Naming what they already know)
7
Trial and Error (Smart guessing)
8
The Balance Rule for Equations
9
Solving one-step and two-step equations (Peeling the layers)
10
Unknown on both sides
11
The Shortcut (Move it across and flip)
12
Solving real problems with equations
13
Think-of-a-number tricks and machines

Topic7

Lines and Angles

Folds, crossings, parallels and transversals. Spot them, measure them, then prove why they work.

1
Lines are everywhere (Foundations)
2
Two lines cross, what happens?
3
Linear pairs & vertically opposite angles
4
Perpendicular lines
5
Parallel lines
6
Transversals & corresponding angles
7
Drawing parallel lines
8
Alternate & interior angles
9
Angle detective (Problem solving)
10
Applied & “Pro” level

Topic8

Triangles and Their Properties

Build them with a compass, test which lengths and angles work, then discover the angle sum, exterior angles and altitudes.

1
What is a triangle? (Foundations)
2
Equilateral triangles by trial and error
3
Constructing triangles from three sides
4
When can a triangle NOT be built? (Exploration)
5
The Triangle Inequality (the shortcut idea)
6
Why the triangle inequality really works (Circles story)
7
Possible third sides (Range thinking)
8
Two sides and the included angle
9
Two angles and the included side
10
The angle sum property (the big surprise)
11
Exterior angles
12
Altitudes (Heights of a triangle)
13
Types of triangles
14
Applied and “Pro” Level

Topic9

Geometric Twins

Spot exact copies, then find which measurements are enough to build a twin.

1
Why do we need “twins”? (Foundations)
2
Checking congruence like a detective
3
Which measurements are enough?
4
Triangles as twins: Meera and Rabia’s story
5
SSS: three sides lock the triangle
6
Writing congruence correctly (conventions)
7
Using SSS in shapes and figures
8
Angles alone are not enough
9
SAS: two sides and the angle between them
10
SSA: when the angle is not in between
11
ASA and AAS: two angles and a side
12
RHS: a special case for right triangles
13
Choosing the right condition
14
Proofs with congruence (thinking steps)
15
Isosceles and equilateral triangles (discovering a property)
16
Congruence all around us
17
Deeper puzzles and pro level

Topic10

Factors, Multiples, HCF and LCM

Tile floors, hop along number lines, grow factor trees and find what numbers share.

1
Warm-up: Factors & Multiples Refresher (Foundations)
2
Finding Common Factors (Story-Based)
3
Highest Common Factor (HCF)
4
Listing Gets Tiring: Why We Need a Better Way
5
Meet the Primes Again
6
Prime Factorisation
7
Factors from Prime Factorisation
8
HCF Using Prime Factorisation
9
Multiples & Common Multiples
10
Lowest Common Multiple (LCM)
11
LCM Using Prime Factorisation
12
Patterns & Properties (Generalisation)
13
Efficient Procedures for HCF & LCM
14
The HCF × LCM Connection
15
Mathematical Thinking
16
Applied Word Problems
17
Bridge to Fractions: Mahaviracharya’s Challenge
18
Puzzle Time & Fun Capstone

Topic21

Data Handling

Count, tally, sort and guess: meet data in markets, classrooms and games.

Topic20

Constructions and Tilings

Draw eyes and stars with a compass, bisect lines and angles, build hexagons and cover the floor with tiles.

1
Eyes and Symmetry (Foundations)
2
The Compass as an “Equal Distance” Machine
3
Discovering the Perpendicular Bisector
4
Why It Always Works (Congruence, Gently)
5
Constructing the Perpendicular Bisector (Step by Step)
6
Right Angles and Perpendiculars
7
The Rope Compass (Śulba-Sūtras)
8
Angles Around a Point and Angle Bisection
9
Design Time: Petals and Stars (Bisection Art)
10
Copying an Angle
11
Parallel Lines with Ruler and Compass
12
Arch Designs
13
Regular Polygons and the Hexagon Puzzle
14
Building 60°, 120°, 30° and 15°
15
Stars, Circles, and Pattern Art
16
Tangram Play
17
What Is Tiling?
18
Tiling Pattern Detective (Even and Odd)
19
The Colouring Trick (Tiling Detective Mode)
20
Tiling the Entire Plane
21
Applied and “Pro” Level

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