🏆 Jnaanangkur — The Learning Hub
Master CTET -2026 Mathematics
Algebra · Geometry · Mensuration · Data
Your all-in-one, teacher-guided study companion for CTET, TET, DSSSB & State TET success — concepts made simple, tricks made powerful!
Algebra for CTET
Variables · Expressions · Equations · Ratio & Proportion
Why Algebra Matters in CTET
Algebra is the language of patterns and relationships. In CTET Paper 1 & 2, algebra questions appear regularly — mastering it means +5 to +8 marks in your score!
📌 What is Algebra?
Algebra uses letters (variables) to represent unknown numbers. It helps us write rules and solve unknowns. Think of it as generalised arithmetic.
📦 Constant — Fixed value (e.g. 5, 12, π)
🔤 Variable — Unknown letter (e.g. x, y, n)
🧩 Expression — Combination (e.g. 3x + 5)
⚖️ Equation — Expression with = (e.g. 3x + 5 = 14)
🌍 Algebra in Daily Life
- Calculating total cost = price × quantity
- Finding unknown age in age problems
- Splitting bills equally among friends
- Speed, distance, time problems
- Temperature conversion formulas
Solving Simple Equations — Step by Step
Example: Solve 2x + 6 = 14
Step 1: Subtract 6 from both sides → 2x = 8
Step 2: Divide both sides by 2 → x = 4
Golden Rule: Whatever you do to one side, do the same to the other side!
Quick CTET Trick — Substitution Method
If the question says "find x when 5x − 3 = 22", directly try options! Plug each option into the equation. The one that satisfies = ✅ correct answer. Saves 30–40 seconds per question!
CTET Exam Alert — Common Mistakes
❌ Forgetting to change signs when moving terms across =❌ Not distributing brackets properly: 3(x+2) ≠ 3x+2
❌ Confusing expression with equation — expressions have no "="
⚖️ Ratio — The Basics
A ratio compares two quantities of the same type.
If a class has 20 boys and 30 girls:
Ratio of boys : girls = 20 : 30 = 2 : 3
Simplify ratios by dividing both parts by their HCF.
🔄 Types of Proportion
Direct Proportion: As one increases, the other increases.
Example: More workers → more work done ✅
Inverse Proportion: As one increases, the other decreases.
Example: More speed → less time ✅
Keyword Trick: "More…More" = Direct | "More…Less" = Inverse
| Type | Formula | Example |
|---|---|---|
| Direct Proportion | a/b = c/d | 3/6 = 5/10 ✅ |
| Inverse Proportion | a × b = c × d | 4 × 6 = 3 × 8 ✅ |
| Ratio Simplification | Divide by HCF | 18:24 = 3:4 |
| Finding Missing Term | Cross Multiply | x/8 = 3/4 → x=6 |
Memory Trick — Proportion
Product of Means = Product of ExtremesIn a : b :: c : d → b × c = a × d
Means = middle two; Extremes = outer two
Geometry for CTET
2D Shapes · 3D Shapes · Symmetry · Angles · Construction
📍 Point, Line & Ray
Point — Exact location, no size (·)
Line — Endless in both directions (↔)
Line Segment — Part of line, fixed ends (—)
Ray — Starts at a point, goes one way (→)
Parallel Lines — Never meet (= =)
Intersecting Lines — Cross at one point (✕)
📐 Types of Angles
| Acute | 0° – 90° |
| Right | = 90° |
| Obtuse | 90° – 180° |
| Straight | = 180° |
| Reflex | 180° – 360° |
| Complete | = 360° |
Classroom Teaching Idea
Show students a clock face! At 3:00 → Right angle; at 6:00 → Straight angle; at 12:00 → Complete angle. Makes abstract concepts concrete and child-friendly — perfect for CTET pedagogy questions!
🔷 2D Shapes — Properties at a Glance
Triangle
3 sides, 3 angles
Sum = 180°
Sum = 180°
Square
All sides equal
All angles 90°
All angles 90°
Rectangle
Opposite sides equal
4 right angles
4 right angles
Circle
Radius, Diameter
Circumference = 2πr
Circumference = 2πr
Pentagon
5 sides
Sum = 540°
Sum = 540°
Hexagon
6 sides
Sum = 720°
Sum = 720°
🔶 3D Shapes — Faces, Edges & Vertices
| Shape | Faces | Edges | Vertices | Real-Life Example |
|---|---|---|---|---|
| Cube | 6 | 12 | 8 | 🎲 Dice, Ice Cube |
| Cuboid | 6 | 12 | 8 | 📦 Box, Brick |
| Sphere | 1 (curved) | 0 | 0 | ⚽ Ball, Globe |
| Cylinder | 3 (2 flat+1 curved) | 2 | 0 | 🥫 Can, Pipe |
| Cone | 2 (1 flat+1 curved) | 1 | 1 | 🍦 Ice Cream Cone |
| Pyramid (sq.base) | 5 | 8 | 5 | 🔺 Egyptian Pyramid |
Euler's Formula — Must Remember!
For any 3D solid: F + V − E = 2(Faces + Vertices − Edges = 2)
Cube check: 6 + 8 − 12 = 2 ✅
🪞 What is Symmetry?
An object is symmetrical if it looks exactly the same on both sides of a line. That dividing line is called the Line of Symmetry.
🔄 Reflection Symmetry — Mirror image
🔃 Rotational Symmetry — Looks same after rotation
📐 A square has 4 lines of symmetry
🔵 A circle has infinite lines of symmetry
🎭 Symmetrical vs Asymmetrical
Symmetrical objects:
Butterfly 🦋 | Leaf 🍃 | Human face 😊 | Snowflake ❄️
Asymmetrical objects:
Scissors ✂️ | Spoon 🥄 | Lightning bolt ⚡
Letters with symmetry:
A, H, I, M, O, T, U, V, W, X, Y
Child-Centred Classroom Activity
Fold a paper in half → cut any shape → unfold → the result is always symmetrical! This hands-on activity builds understanding of reflection and is excellent for CTET pedagogy answers about constructivist learning.
📏 Tools We Use
- Straight Edge / Scale — Draw lines
- Compass — Draw arcs & circles
- Protractor — Measure angles
- Set Square — Right angles
🔨 Basic Constructions
- Drawing a line segment of given length
- Bisecting a line segment
- Drawing a perpendicular from a point
- Constructing 60°, 90°, 120° angles
- Bisecting an angle
Constructing 60° — Step by Step
Step 1: Draw a ray AB
Step 2: Place compass at A, draw an arc cutting AB at P
Step 3: With same radius, place compass at P, cut the first arc at Q
Step 4: Join AQ → ∠QAB = 60°
Mensuration for CTET
Perimeter · Area · Volume · Surface Area — with Formula Tables
Exam Alert — Mensuration Weightage
Mensuration consistently carries 4–6 questions in CTET Mathematics. Mastering formulas + shortcuts here is one of the highest-ROI investments for your exam prep!
📐 2D Shapes — Perimeter & Area
| Shape | Perimeter | Area |
|---|---|---|
| Square (side = a) | 4a | a² |
| Rectangle (l × b) | 2(l + b) | l × b |
| Triangle (a, b, c) | a + b + c | ½ × base × height |
| Equilateral △ (side a) | 3a | (√3/4) × a² |
| Circle (radius r) | 2πr | πr² |
| Parallelogram | 2(a + b) | base × height |
| Trapezium | sum of all sides | ½ × (a+b) × h |
📦 3D Shapes — Volume & Surface Area
| Shape | Volume | Total Surface Area |
|---|---|---|
| Cube (side a) | a³ | 6a² |
| Cuboid (l×b×h) | l × b × h | 2(lb + bh + hl) |
| Cylinder (r, h) | πr²h | 2πr(r + h) |
| Cone (r, h, l) | ⅓πr²h | πr(r + l) |
| Sphere (r) | ⁴⁄₃πr³ | 4πr² |
| Hemisphere (r) | ⅔πr³ | 3πr² |
⚡ Shortcut Tricks
- 📌 If side doubles → Area × 4
- 📌 If side triples → Area × 9
- 📌 If radius doubles → Area × 4, Volume × 8
- 📌 Diagonal of square = a√2
- 📌 Diagonal of rectangle = √(l²+b²)
🌍 Real-Life Applications
- 🏡 Tiling a floor → Area of Rectangle
- 🌊 Water in a tank → Volume of Cuboid
- 🎁 Wrapping a gift → Surface Area of Cuboid
- 🌀 Rolling a cylinder → Curved Surface Area
- ⛽ Capacity of a pipe → Volume of Cylinder
Memory Trick — π Formulas
Remember: "Circle Area = Pie R Square" → πr²"Circumference = 2 Pie R" → 2πr
Use π ≈ 22/7 when r is a multiple of 7; use π ≈ 3.14 otherwise.
Data Handling for CTET
Tally Marks · Pictographs · Bar Graphs · Tables & Interpretation
📋 Collection of Data
Raw Data — Unorganized information collected directly
Tally Marks — Quick counting method using ||| marks
Frequency — How many times a value occurs
Frequency Table — Organized tally data in a table
Tally Mark Rule: Draw 4 vertical lines (||||) then cross the 5th (𝍷) = groups of 5!
📊 Types of Graphs
- 📷 Pictograph — Uses symbols/pictures to show data
- 📊 Bar Graph — Bars of equal width, varying height
- 🍕 Pie Chart — Circle divided into sectors
- 📈 Line Graph — Points joined to show trend
- 📉 Histogram — Like bar graph, continuous data
📊 Sample Bar Graph — Students in Each Section
40
Sec A
30
Sec B
50
Sec C
35
Sec D
45
Sec E
📌 Total students = 40+30+50+35+45 = 200 | Most students in Section C
CTET Data Interpretation — Key Steps
1. Read the title carefully2. Note the scale (what does 1 unit represent?)
3. Identify maximum, minimum, and difference
4. Calculate totals and averages if asked
5. Never rush — double-check your scale reading!
CTET-Style MCQ Practice
20+ Questions with Answers & Explanations
Instructions
Read each question carefully. Click "Show Answer" after attempting to see the correct answer with explanation. Based on actual CTET previous year patterns!
1
If 3x + 7 = 28, what is the value of x?
✅ Answer: B) 7
3x + 7 = 28 → 3x = 21 → x = 7. Always isolate the variable by doing inverse operations.
3x + 7 = 28 → 3x = 21 → x = 7. Always isolate the variable by doing inverse operations.
2
The ratio of boys to girls in a class is 3:5. If there are 40 students, how many are boys?
✅ Answer: B) 15
Total parts = 3+5 = 8. Boys = (3/8) × 40 = 15.
Total parts = 3+5 = 8. Boys = (3/8) × 40 = 15.
3
How many lines of symmetry does an equilateral triangle have?
✅ Answer: C) 3
An equilateral triangle has 3 equal sides and 3 lines of symmetry — one from each vertex to the midpoint of the opposite side.
An equilateral triangle has 3 equal sides and 3 lines of symmetry — one from each vertex to the midpoint of the opposite side.
4
The area of a rectangle is 96 cm². If its length is 12 cm, what is its breadth?
✅ Answer: B) 8 cm
Area = l × b → 96 = 12 × b → b = 96 ÷ 12 = 8 cm.
Area = l × b → 96 = 12 × b → b = 96 ÷ 12 = 8 cm.
5
A cube has a side of 5 cm. What is its volume?
✅ Answer: C) 125 cm³
Volume of cube = a³ = 5³ = 5×5×5 = 125 cm³.
Volume of cube = a³ = 5³ = 5×5×5 = 125 cm³.
6
What is the circumference of a circle with radius 7 cm? (Use π = 22/7)
✅ Answer: A) 44 cm
C = 2πr = 2 × (22/7) × 7 = 2 × 22 = 44 cm. Note: 154 cm² is the area, not circumference!
C = 2πr = 2 × (22/7) × 7 = 2 × 22 = 44 cm. Note: 154 cm² is the area, not circumference!
7
A cylinder has radius 3 cm and height 10 cm. What is its volume? (π = 3.14)
✅ Answer: B) 282.6 cm³
V = πr²h = 3.14 × 9 × 10 = 3.14 × 90 = 282.6 cm³.
V = πr²h = 3.14 × 9 × 10 = 3.14 × 90 = 282.6 cm³.
8
If speed is doubled, the time taken for the same distance becomes:
✅ Answer: B) Half
Speed and time are in inverse proportion (for constant distance). More speed → less time. Time = Distance ÷ Speed.
Speed and time are in inverse proportion (for constant distance). More speed → less time. Time = Distance ÷ Speed.
9
How many faces does a cone have?
✅ Answer: B) 2
A cone has 2 faces: 1 flat circular base + 1 curved lateral face. Edges = 1, Vertices = 1.
A cone has 2 faces: 1 flat circular base + 1 curved lateral face. Edges = 1, Vertices = 1.
10
The perimeter of an equilateral triangle is 36 cm. What is its area?
✅ Answer: A) 36√3 cm²
Side = 36÷3 = 12 cm. Area = (√3/4) × 12² = (√3/4) × 144 = 36√3 cm².
Side = 36÷3 = 12 cm. Area = (√3/4) × 12² = (√3/4) × 144 = 36√3 cm².
11
If 5x − 3 = 22, what is the value of x? Easy
Algebra
✅ Answer: B) 5
5x − 3 = 22 → 5x = 25 → x = 5.
💡 Trick: Add 3 to both sides first, then divide by 5.
5x − 3 = 22 → 5x = 25 → x = 5.
💡 Trick: Add 3 to both sides first, then divide by 5.
12
A train ticket costs ₹120. After a 15% discount, what is the final price? Medium
Algebra
✅ Answer: B) ₹102
Discount = 15% of 120 = 18. Final price = 120 − 18 = ₹102.
💡 Quick method: 85% of 120 = 0.85 × 120 = 102.
Discount = 15% of 120 = 18. Final price = 120 − 18 = ₹102.
💡 Quick method: 85% of 120 = 0.85 × 120 = 102.
13
What is the next number in the pattern: 2, 6, 12, 20, 30, ___? Medium
Algebra
✅ Answer: C) 42
Pattern: n(n+1) → 1×2=2, 2×3=6, 3×4=12, 4×5=20, 5×6=30, 6×7=42.
💡 Differences: +4, +6, +8, +10, +12 → next difference is 12.
Pattern: n(n+1) → 1×2=2, 2×3=6, 3×4=12, 4×5=20, 5×6=30, 6×7=42.
💡 Differences: +4, +6, +8, +10, +12 → next difference is 12.
14
The ages of A and B are in the ratio 4:5. If the sum of their ages is 54, how old is B? Medium
Algebra
✅ Answer: C) 30
Total parts = 4+5 = 9. B's age = (5/9) × 54 = 30.
A's age = (4/9) × 54 = 24. Check: 24+30 = 54 ✅
Total parts = 4+5 = 9. B's age = (5/9) × 54 = 30.
A's age = (4/9) × 54 = 24. Check: 24+30 = 54 ✅
15
A shopkeeper sells an item for ₹350 at a profit of 25%. What was the cost price? Hard
Algebra
✅ Answer: B) ₹280
SP = CP × (1 + Profit%) → 350 = CP × 1.25 → CP = 350 ÷ 1.25 = ₹280.
💡 Formula: CP = SP × 100 ÷ (100 + Profit%) = 350×100÷125 = 280.
SP = CP × (1 + Profit%) → 350 = CP × 1.25 → CP = 350 ÷ 1.25 = ₹280.
💡 Formula: CP = SP × 100 ÷ (100 + Profit%) = 350×100÷125 = 280.
Geometry
Angles · Triangles · Shapes · Symmetry · Euler's Formula
16
The sum of interior angles of a hexagon is: Easy
Geometry
✅ Answer: B) 720°
Formula: Sum of interior angles = (n−2) × 180° where n = number of sides.
Hexagon: (6−2) × 180° = 4 × 180° = 720°.
💡 Quick table: Triangle=180°, Quad=360°, Pentagon=540°, Hexagon=720°.
Formula: Sum of interior angles = (n−2) × 180° where n = number of sides.
Hexagon: (6−2) × 180° = 4 × 180° = 720°.
💡 Quick table: Triangle=180°, Quad=360°, Pentagon=540°, Hexagon=720°.
17
In a right-angled triangle, if one acute angle is 35°, what is the other acute angle? Easy
Geometry
✅ Answer: B) 55°
In a right-angled triangle: 90° + 35° + x = 180° → x = 180° − 125° = 55°.
💡 The two acute angles in a right triangle always add up to 90°.
In a right-angled triangle: 90° + 35° + x = 180° → x = 180° − 125° = 55°.
💡 The two acute angles in a right triangle always add up to 90°.
18
How many lines of symmetry does a regular pentagon have? Medium
Geometry
✅ Answer: B) 5
A regular polygon with n sides has exactly n lines of symmetry.
Pentagon (5 sides) → 5 lines of symmetry.
💡 Square=4, Pentagon=5, Hexagon=6, Circle=infinite.
A regular polygon with n sides has exactly n lines of symmetry.
Pentagon (5 sides) → 5 lines of symmetry.
💡 Square=4, Pentagon=5, Hexagon=6, Circle=infinite.
19
A cuboid has 6 faces, 8 vertices. How many edges does it have? (Apply Euler's Formula) Medium
Geometry
✅ Answer: B) 12
Euler's Formula: F + V − E = 2 → 6 + 8 − E = 2 → E = 12.
💡 Remember F+V−E=2 for any convex polyhedron — a CTET favourite!
Euler's Formula: F + V − E = 2 → 6 + 8 − E = 2 → E = 12.
💡 Remember F+V−E=2 for any convex polyhedron — a CTET favourite!
20
Two angles of a triangle are 70° and 50°. What type of triangle is it? Medium
Geometry
✅ Answer: C) Acute-angled
Third angle = 180° − 70° − 50° = 60°. All three angles (70°, 50°, 60°) are less than 90°, so it is an acute-angled triangle.
Third angle = 180° − 70° − 50° = 60°. All three angles (70°, 50°, 60°) are less than 90°, so it is an acute-angled triangle.
Mensuration
Area · Perimeter · Volume · Surface Area
21
What is the area of a triangle with base 14 cm and height 9 cm? Easy
Mensuration
✅ Answer: B) 63 cm²
Area = ½ × base × height = ½ × 14 × 9 = 7 × 9 = 63 cm².
💡 Common mistake: forgetting the ½ and writing 126 cm².
Area = ½ × base × height = ½ × 14 × 9 = 7 × 9 = 63 cm².
💡 Common mistake: forgetting the ½ and writing 126 cm².
22
A square park has a perimeter of 200 m. What is its area? Easy
Mensuration
✅ Answer: C) 2500 m²
Perimeter = 4a → 200 = 4a → a = 50 m. Area = a² = 50² = 2500 m².
Perimeter = 4a → 200 = 4a → a = 50 m. Area = a² = 50² = 2500 m².
23
The radius of a circle is doubled. Its area becomes how many times the original? Hard
Mensuration
✅ Answer: C) 4 times
Original area = πr². New area = π(2r)² = 4πr².
Ratio = 4πr² ÷ πr² = 4 times.
💡 Key insight: Area is proportional to r². If r doubles, area quadruples.
Original area = πr². New area = π(2r)² = 4πr².
Ratio = 4πr² ÷ πr² = 4 times.
💡 Key insight: Area is proportional to r². If r doubles, area quadruples.
24
Find the Total Surface Area of a cube with side 6 cm. Medium
Mensuration
✅ Answer: C) 216 cm²
TSA of cube = 6a² = 6 × 6² = 6 × 36 = 216 cm².
💡 A cube has 6 identical square faces, so TSA = 6 × (side)².
TSA of cube = 6a² = 6 × 6² = 6 × 36 = 216 cm².
💡 A cube has 6 identical square faces, so TSA = 6 × (side)².
25
A trapezium has parallel sides 8 cm and 12 cm, and height 5 cm. Its area is: Hard
Mensuration
✅ Answer: B) 50 cm²
Area of trapezium = ½ × (sum of parallel sides) × height
= ½ × (8+12) × 5 = ½ × 20 × 5 = 50 cm².
Area of trapezium = ½ × (sum of parallel sides) × height
= ½ × (8+12) × 5 = ½ × 20 × 5 = 50 cm².
Data Handling
Mean · Median · Mode · Range · Graphs
26
The scores of 5 students are: 72, 85, 90, 68, 75. What is the mean score? Easy
Data Handling
✅ Answer: C) 78
Mean = Sum ÷ Count = (72+85+90+68+75) ÷ 5 = 390 ÷ 5 = 78.
Mean = Sum ÷ Count = (72+85+90+68+75) ÷ 5 = 390 ÷ 5 = 78.
27
Find the median of: 3, 7, 1, 9, 5, 11, 4 Medium
Data Handling
✅ Answer: C) 5
Step 1: Arrange in order → 1, 3, 4, 5, 7, 9, 11
Step 2: Middle value (4th of 7) = 5.
💡 Always sort the data before finding the median!
Step 1: Arrange in order → 1, 3, 4, 5, 7, 9, 11
Step 2: Middle value (4th of 7) = 5.
💡 Always sort the data before finding the median!
28
In a bar graph, the tallest bar represents the subject with the: Easy
Data Handling
✅ Answer: B) Maximum value
In a bar graph, bar height represents the frequency or value. The tallest bar = highest/maximum value in that category.
In a bar graph, bar height represents the frequency or value. The tallest bar = highest/maximum value in that category.
Mathematics Pedagogy
Teaching Methods · NCF · Bruner's Stages · Error Analysis
29
According to Bruner's theory, which is the FIRST stage of learning a new Math concept? Medium
Pedagogy
✅ Answer: C) Enactive (Concrete)
Bruner's three stages (CPA Approach):
1. Enactive/Concrete — hands-on objects (blocks, sticks)
2. Iconic/Pictorial — diagrams and pictures
3. Symbolic/Abstract — numbers and symbols
💡 Remember: Concrete → Pictorial → Abstract (CPA)
Bruner's three stages (CPA Approach):
1. Enactive/Concrete — hands-on objects (blocks, sticks)
2. Iconic/Pictorial — diagrams and pictures
3. Symbolic/Abstract — numbers and symbols
💡 Remember: Concrete → Pictorial → Abstract (CPA)
30
A student writes 4 × 0 = 4. What type of error is this? Hard
Pedagogy
✅ Answer: B) Conceptual error
The student confused "×0" with "+0". This shows a conceptual misconception — they don't understand that multiplying any number by 0 gives 0 (Zero Property of Multiplication).
💡 CTET key distinction: Conceptual error = wrong understanding of a concept. Procedural error = correct concept, wrong calculation steps.
The student confused "×0" with "+0". This shows a conceptual misconception — they don't understand that multiplying any number by 0 gives 0 (Zero Property of Multiplication).
💡 CTET key distinction: Conceptual error = wrong understanding of a concept. Procedural error = correct concept, wrong calculation steps.
🎉 You've completed 10 questions! More practice = Higher CTET score!
Keep revising → Attempt mock tests → Aim for 28+/30 in Mathematics!
CTET Exam Strategy
Smart Preparation · Time Management · Revision Plan
Week-wise Plan
- Week 1 → Algebra + Ratio
- Week 2 → Geometry + Symmetry
- Week 3 → Mensuration (all formulas)
- Week 4 → Data Handling + Mock MCQs
- Week 5 → Full revision + Previous papers
Time Management in Exam
- ⏳ 30 Math questions in 45 minutes
- ✅ Easy questions first — max 1 min each
- 🔁 Mark difficult ones — come back later
- 📌 Don't spend >90 sec on any 1 question
- ⚡ Use shortcuts, eliminate wrong options
Common Mistakes to Avoid
- ❌ Skipping formula revision
- ❌ Not practicing data graphs
- ❌ Confusing area with perimeter
- ❌ Wrong unit conversions
- ❌ Ignoring Pedagogy section
Topic-wise Weightage
Number System~20%
Geometry~18%
Mensuration~17%
Data & Algebra~15%
Pedagogy~30%
Quick Revision Sheet
Last-minute Formula Flash Cards — Screenshot & Save!
🧮 Algebra Formulas
Linear Eq.ax + b = c
Direct Prop.a/b = c/d
Inverse Prop.ab = cd
Cross Mult.ad = bc
(a+b)²a²+2ab+b²
(a-b)²a²-2ab+b²
📐 Geometry Keys
△ angles sum180°
Quad. sum360°
Euler's F.F+V-E=2
Sq. symmetry4 lines
Circle sym.∞ lines
Rect. sym.2 lines
📏 Mensuration 2D
Square Areaa²
Rect. Areal×b
Circle Areaπr²
Triangle Area½bh
Circle Perim.2πr
Rect. Perim.2(l+b)
📦 Mensuration 3D
Cube Vol.a³
Cuboid Vol.lbh
Cylinder V.πr²h
Cone Vol.⅓πr²h
Sphere Vol.⁴⁄₃πr³
Cube TSA6a²
📊 Data Handling
MeanSum÷Count
MedianMiddle value
ModeMost freq.
RangeMax−Min
Tally (5)|||| (cross)
PictographSymbol=n units
🚀 Exam Day Tips
π ≈22/7 or 3.14
√2 ≈1.414
√3 ≈1.732
√5 ≈2.236
1 m =100 cm
1 km =1000 m
Frequently Asked Questions
CTET Mathematics — Common Aspirant Doubts Answered
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