# CBSE Class 5 Mathematics Syllabus

## CBSE Class 5 Mathematics:

Mathematics gets little tougher this time when compared to the previous classes such as CBSE class 3 and class 4. **CBSE Class 5** includes many concepts such as Percentage, lines and angles, shapes and their properties, multiples and factors along with the regular topics of previous classes.

The syllabus covered for **CBSE Class 5** mathematics are below:

**Numbers and Arithmetic operations on it:**

Few advanced concepts in “Numbers” topic are covered such as introduction to abacus, handling prime and composite number , knowing the differences between face value and place value of a number, rounding of numbers and number patterns. Word problems on addition, subtraction, multiplication and division are covered under this topic.

**Examples: **

- The smallest odd prime number ________

Answer: 3

- All even numbers are divisible by ___

Answer: 2

- Round off 5117 to the nearest ten:

- 5120
- 5130
- 5115
- 5100

Answer: 5120

- Build a five digit number from the following:

- 3+35+0+1000+70000

Answer: 71,038

- Answer the following using BODMAS rule:

- 75*(4-2)

Answer: 150

**Multiplication and Division:**

Advanced word problems in multiplication and division are covered under this syllabus.

**Examples:**

- Alia saves Rs.546 per month. How much does she save in a full year?

Answer: 6,552

- There are 675 pages in a book. How many pages are there in 15 books?

Answer: 10,125

- How many weeks are there in 205 days?

Answer: 29 weeks 2 days

**LCM and HCF:**

This comes under the topic of “Multiples and factor”. LCM stands for Lowest Common Mutiple and HCF stands for Highest Common factor.

**Examples:**

- What is the HCF for the numbers 20 and 30?

Answer: 10

- What is the common multiple for 5 and 7?

Answer: 35

- Sunil planted 35 apple and 30 peach trees. If he wants to plant same number and type of plants in a row, what is the maximum number of trees that he can plant in a row?

Answer: 10

**Fractions and decimals:**

The concept of fractions consists of two main parts such as numerators and denominators. Numerator is the number which is above the fraction line whereas denominator is the number which is below the fraction line. The concept of decimals can be defined as the numbers which contains the decimal point. The number to the left of decimal point is an ordinary whole number and the number to the right of the decimal point is called as “tenths” digits. For example, 1.5 is same as 1 plus 1/5.

**Examples:**

- Find out the answer for the following:

- 85*0.25

Answer: 0.2125

- 10/40 is equal to ____

Answer: 0.25

- 3 3/4 % 1 2/3 = ?

Answer: 9/4 which is equal to 2 1/4

**Ratio and percentage:**

Ratio shows relative sizes of two or more values. It is represented with the symbol “:”. If there are totally 4 boys and 5 girls in a classroom, then it can be represented though ratio system as: 4:5 which means there are 4 boys out of 9 students (4/9) and 5 girls out of 9 students (5/9). Percentage can be expressed as a value on the basis of rate or proportion per hundred. For example, 36/100 is equal to 0.36 or 36%.

**Examples:**

- Calculate the following ratios:

- 2:3 = 36 : _
- 4:6 = 8 : _
- 8:3 = 24 : _

Answer: 36: 54

8 : 12

24 : 9

- 72% of 11 is _ of 40% of 97?

- <
- >
- =

Answer: <

**Lines and angles:**

A line is a straight path that goes on and in opposite directions. There are different types of lines such as parallel lines and perpendicular lines. Parallel lines are the lines that never intersect or cross each other. Perpendicular lines are the lines which cross each other or intersect at right angles. An Angle is a two lines that meet at an endpoint called a vertex. There are different types of angles such as acute angles, obtuse angles, supplementary angles,etc. Acute angle is an angle which measures less than 90 degrees through the protractor. Obtuse angle is an angle which measures greater than 90 degrees through the protractor. Two angles whose measurement adds up to 180 degrees are supplementary angles.

**Examples:**

- Questions are based on pictorial representation of angles asking students to identify the type of angles.

**Perimeter and area:**

As these concepts are covered in the previous class 4, a little more advanced syllabus are added under this topic. Perimeter is the total boundary size of the object whereas area is the total surface covered by the object.

**Examples: **

- There are 5 cm cubes which are glued together to form a cuboid. Find the volume of the cuboid.

Answer: 192 cubic cm

- How much water does a rectangular tank hold with a square base of 2.5 yards and a height of 4 yards hold?

Answer: 10 cube yards

**Shapes and their properties:**

This is a part of geometry which covers different types of triangles such as Scalene, isosceles, equilateral, acute, right and obtuse triangle.

**Examples:**

- Questions based on classifying triangles and properties related to that.

**Patterns and Symmetry:**

An object which has evenly balanced properties called as symmetrical. A shape is symmetrical when its two halves are mirror images along the line of symmetry. Different types of lessons such as mirror games, turning mirror images by ½ turn, examples and problems, identifying different patterns, etc.

**Examples:**

- Pictorial representation of various figures are given to find out the lines of symmetry of each object.

Along with the above topics, regular topics like Time and date, measurement of length, mass and capacity, smart charts are also covered in the syllabus of **CBSE Class 5** Mathematics.