Key Stage 2 (KS2) Maths Topics – Detailed Content

(For ages 7-11, covering Years 3 to 6 in UK primary education)

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1️⃣ Number & Place Value

Concepts:

• Reading and writing numbers up to 1,000,000
• Understanding place value (ones, tens, hundreds, thousands, etc.)
• Rounding numbers to the nearest 10, 100, 1000, 10,000
• Using negative numbers in real-world contexts
• Roman numerals (I, V, X, L, C, D, M)

Example:

👉 What is the value of the digit 4 in 34,678?

• 4 is in the thousands place, so its value is 4,000

Practice Questions:

1. Write 342,768 in words.
2. Round 78,469 to the nearest 1,000.
3. What is 5 less than -3?
4. Convert XIV to a number.

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2️⃣ Addition, Subtraction, Multiplication & Division

Concepts:

• Column addition & subtraction for large numbers
• Long multiplication (two-digit by two-digit multiplication)
• Long division (using remainders, decimals, and fractions)
• Solving word problems using inverse operations

Example:

👉 Multiply 47 × 35 using long multiplication

    47
  × 35
  -----
   235    (47 × 5)
+ 1410   (47 × 30)
  -----
   1645

✅ Answer: 1,645

Practice Questions:

1. 3,468 + 9,745 = ?
2. 12,482 - 8,359 = ?
3. 48 × 76 = ?
4. 672 ÷ 8 = ?

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3️⃣ Fractions, Decimals & Percentages

Concepts:

• Equivalent fractions (e.g., 1/2 = 2/4)
• Comparing and ordering fractions
• Converting fractions to decimals and percentages
• Adding, subtracting, multiplying, and dividing fractions
• Finding percentages of amounts

Example:

👉 Convert 3/5 into a decimal and percentage.

• 3 ÷ 5 = 0.6 (decimal)
• 0.6 × 100 = 60% (percentage)

Practice Questions:

1. Write 4/8 as an equivalent fraction.
2. What is 3/4 as a decimal?
3. Find 25% of 160.
4. 1/3 + 2/9 = ?

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4️⃣ Algebra

Concepts:

• Understanding simple algebraic expressions (e.g., 3x + 2)
• Finding the missing number in equations
• Recognizing and using formulas
• Understanding sequences and patterns

Example:

👉 Solve for x:
3x + 5 = 20

• Subtract 5 from both sides: 3x = 15
• Divide by 3: x = 5

Practice Questions:

1. If x = 4, what is the value of 2x + 3?
2. Complete the sequence: 3, 6, 9, __, __
3. Solve: 2y - 7 = 9

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5️⃣ Measurement

Concepts:

• Converting units of length, weight, and capacity (cm to m, g to kg, etc.)
• Understanding perimeter, area, and volume
• Reading and interpreting time (12-hour and 24-hour format)

Example:

👉 Convert 250 cm into meters.

• 250 cm ÷ 100 = 2.5 meters

Practice Questions:

1. Convert 3.4 kg to grams.
2. Find the perimeter of a rectangle with sides 8 cm and 5 cm.
3. If a cube has sides of 4 cm, what is its volume?

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6️⃣ Geometry

Concepts:

• Properties of 2D and 3D shapes
• Measuring angles using a protractor
• Understanding symmetry, reflection, and rotation

Example:

👉 What is the sum of angles in a triangle?

• 180°

Practice Questions:

1. How many faces does a cube have?
2. Measure an angle of 45° using a protractor.
3. Draw a shape with 1 line of symmetry.

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7️⃣ Statistics

Concepts:

• Reading and drawing bar charts, pictograms, and line graphs
• Calculating mean, median, mode, and range
• Interpreting data from tables and charts

Example:

👉 Find the mean of these numbers: 5, 7, 10, 3, 5

• Add the numbers: 5 + 7 + 10 + 3 + 5 = 30
• Divide by how many numbers there are: 30 ÷ 5 = 6

Practice Questions:

1. Find the mode of: 2, 3, 4, 3, 6, 3, 7.
2. What is the median of: 10, 15, 20, 25, 30?
3. Draw a bar chart representing these numbers: 5, 10, 15, 20.

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Summary Table of KS2 Maths Topics

Topic	Key Concepts	Example Question
Number & Place Value	Reading, ordering, rounding, negative numbers	Round 78,469 to the nearest 1,000.
Addition & Subtraction	Column method, word problems	3,468 + 9,745 = ?
Multiplication & Division	Times tables, long division	48 × 76 = ?
Fractions, Decimals & Percentages	Conversions, calculations	Convert 3/5 into a decimal.
Algebra	Equations, sequences	Solve 2y - 7 = 9
Measurement	Perimeter, area, volume	Find the perimeter of a rectangle with sides 8 cm and 5 cm.
Geometry	Shapes, angles, symmetry	Sum of angles in a triangle?
Statistics	Graphs, mean, median, mode	Find the mode: 2, 3, 4, 3, 6, 3, 7.