Unicus Global Mathematics Olympiad Class 5 Sample Papers

Syllabus:

1. Content Domain: Number

Number Sense

1. Number names (6-digit number)
2. Successor and predecessor of a number
3. Rounding off a number (tens, hundreds, thousands, ten thousands)
4. Multiples and factors

Computation Operations

1. Addition, subtraction, multiplication, and division of 6-digit and 7-digit numbers (Questions based on BODMAS)

Fractions

1. Types of fractions: proper fractions, improper fractions, unit fractions, mixed fractions, like fractions, and unlike fractions
2. Addition and subtraction of unlike fractions
3. Problems on addition, subtraction, multiplication, and division of fractions
4. Equivalent fractions

Decimals

1. Representations of decimals (words, numbers, and models)
2. Add, subtract, and multiply with fractions and decimals, and divide fractions and decimals by a whole number
3. Decimal division

Expressions, Equations, and Relationships

1. Missing number or operation in a number sentence
2. Form expressions or equations as per the problem

2. Content Domain: Measurement

Length

1. Units of length
2. Conversion from one unit to another
3. Word problems based on lengths

Weight

1. Units of weight
2. Conversion from one unit to another
3. Word problems based on weights

Capacity

1. Units of capacity
2. Conversion from one unit to another
3. Word problems based on capacity
4. Difference between capacity and volume

Time

1. Units of time
2. Conversion from one unit to another
3. Calendar-related problems

Temperature

1. Units of temperature
2. Conversion from one unit to another
3. Word problems based on temperature

3. Content Domain: Geometry

Angles

1. Types of angles: acute angle, obtuse angle, right angle, straight angle, complete angle

Shapes

1. Recognize 1-dimensional shapes (point, line, line-segment, ray)
2. Recognize 2-dimensional shapes (quadrilaterals: square, rectangle, rhombus, etc.)
3. Recognize 3-dimensional shapes (solids: cone, cylinder, cube, etc.)

Symmetry

1. Lines of symmetry
2. Types of symmetry: translational symmetry, rotational symmetry
3. Centre of rotation
4. Order of rotational symmetry

4. Content Domain: Mensuration

Area and Perimeter

1. Perimeter of basic 2-D shapes (square, rectangle, triangle) and irregular shapes
2. Area of 2-dimensional shapes (square, rectangle)
3. Area and perimeter of combined figures

5. Content Domain: Data Handling

Data Handling

1. Understanding basic terminologies: data, raw data, organized data
2. Data and graphs: bar graphs, line graphs, pie charts (interpret the graph and answer the questions)
3. Finding mean, mode, median, and range of the non-grouped data