teaching resource

Find the Whole From a Percent — Year 6 Maths Mazes

Updated: 21 Jun 2023

Print a set of 3 maths mazes for year 6 to practise solving percentage problems.

Editable: Google Slides
Non-Editable: PDF
Pages: 1 Page
Years: 6 - 7

Curriculum

VC2M5N04

Recognise that 100% represents the complete whole and use percentages to describe, represent and compare relative size; connect familiar percentages to their decimal and fraction equivalents <ul> <li>recognising applications of percentages used in everyday contexts, for example, the bar model used for charging devices indicating the percentage of power remaining, and advertising in retail contexts relating to discounts or sales</li> <li>creating a model by subdividing a whole (for example, using 10 × 10 grids to represent various percentage amounts) and recognising complementary percentages (such as 30% and 70%) combine to make 100%</li> <li>creating a model by subdividing a collection of materials, such as blocks or money, to connect decimals and percentage equivalents of tenths and the commonly used fractions 1/2, 1/4, and 3/4; for example, connecting that one-tenth or 0.1 represents 10% and one-half or 0.5 represents 50%, and recognising that 60% of a whole is 10% more of the whole than 50%</li> <li>using physical and virtual materials to represent the relationship between decimal notation and percentages, for example, 0.3 is 3 out of every 10, which is 30 out of every 100, which is 30%</li> </ul>
VC2M6N05

Solve problems involving addition and subtraction of fractions using knowledge of equivalent fractions <ul> <li>representing addition and subtraction of fractions, using an understanding of equivalent fractions and methods such as jumps on a number line, or diagrams of fractions as parts of shapes</li> <li>determining the lowest common denominator using an understanding of prime and composite numbers to find equivalent representation of fractions when solving addition and subtraction problems</li> <li>calculating the addition or subtraction of fractions in the context of real-world problems (for example, using part cups or spoons in a recipe), using the understanding of equivalent fractions</li> <li>understanding the processes for adding and subtracting fractions with related denominators and fractions as an operator, in preparation for calculating with all fractions; for example, using fraction overlays and number lines to give meaning to adding and subtracting fractions with related and unrelated denominators</li> </ul>
VC2M6N08

Approximate numerical solutions to problems involving rational numbers and percentages, using appropriate estimation strategies <ul> <li>using familiar fractions, decimals and percentages to approximate calculations, such as 0.3 of 180 is about 1/3 of 180, or 52% is about 1/2</li> <li>choosing appropriate estimation strategies including rounding to the nearest whole number, knowledge of multiples of 2, 5 or 10 and partitioning numbers, in contexts such as measuring or cost per unit</li> <li>recognising the effect of rounding on calculations involving fractions or decimals and saying what numbers the answer will be between</li> <li>recognising the usefulness of estimation to check calculations for contexts such as dividing wood into a number of lengths, calculating cost per unit, reducing a recipe or dividing the cost of dinner for a group into individual amounts</li> <li>verifying solutions by estimating percentages in suitable contexts, such as discounts, using common percentages of 10%, 25%, 30%, 50% and 1%</li> <li>investigating estimation strategies to make decisions about steam cooking in ground ovens by Aboriginal and/or Torres Strait Islander Peoples, including catering for different numbers of people and resources needed for cooking</li> </ul>

teaching resource

Find the Whole From a Percent — Year 6 Maths Mazes

Updated: 21 Jun 2023

Print a set of 3 maths mazes for year 6 to practise solving percentage problems.

Editable: Google Slides
Non-Editable: PDF
Pages: 1 Page
Years: 6 - 7

Print a set of 3 maths mazes for year 6 to practise solving percentage problems.

Practise How to Find the Whole From a Percent

These maths mazes, designed for students in Year 6, challenge students to use their understanding of percentages to find the whole. Each maze features a series of interconnected boxes, with a question in each large rectangle. Students must calculate the answer and then navigate the maze to find the correct path to the end. These mazes are a fun and engaging way to reinforce students’ understanding of percentages and help them develop their problem-solving skills.

An answer key is included with your download to make marking fast and easy!

Tips for Differentiation + Scaffolding

In addition to independent student work time, use this worksheet as an activity for:

Maths groups
Lesson warm-up
Lesson wrap-up
Fast finishers
Homework assignment
Whole-class review (via smartboard)

For students who need a bit of a challenge, encourage students to change values so that a dead-end path leads to the correct answer.

For students who need additional support, allow access to a multiplication chart. Have a laminated proportion solver that students can fill in the blanks to guide them along the process of solving.

🖨️ Easily Download & Print

Use the dropdown icon on the Download button to choose between the PDF or editable Google Slides version of this resource.

Because this resource includes an answer sheet, we recommend you print one copy of the entire file. Then, make photocopies of the blank worksheet for students to complete.

Turn this teaching resource into a sustainable activity by printing on cardboard and slipping it into a dry-erase sleeve. Students can colour in the correct path with a whiteboard marker, then erase and reuse them.

This resource was created by Cassandra Friesen, a Teach Starter Collaborator.

Curriculum

VC2M5N04

Recognise that 100% represents the complete whole and use percentages to describe, represent and compare relative size; connect familiar percentages to their decimal and fraction equivalents <ul> <li>recognising applications of percentages used in everyday contexts, for example, the bar model used for charging devices indicating the percentage of power remaining, and advertising in retail contexts relating to discounts or sales</li> <li>creating a model by subdividing a whole (for example, using 10 × 10 grids to represent various percentage amounts) and recognising complementary percentages (such as 30% and 70%) combine to make 100%</li> <li>creating a model by subdividing a collection of materials, such as blocks or money, to connect decimals and percentage equivalents of tenths and the commonly used fractions 1/2, 1/4, and 3/4; for example, connecting that one-tenth or 0.1 represents 10% and one-half or 0.5 represents 50%, and recognising that 60% of a whole is 10% more of the whole than 50%</li> <li>using physical and virtual materials to represent the relationship between decimal notation and percentages, for example, 0.3 is 3 out of every 10, which is 30 out of every 100, which is 30%</li> </ul>
VC2M6N05

Solve problems involving addition and subtraction of fractions using knowledge of equivalent fractions <ul> <li>representing addition and subtraction of fractions, using an understanding of equivalent fractions and methods such as jumps on a number line, or diagrams of fractions as parts of shapes</li> <li>determining the lowest common denominator using an understanding of prime and composite numbers to find equivalent representation of fractions when solving addition and subtraction problems</li> <li>calculating the addition or subtraction of fractions in the context of real-world problems (for example, using part cups or spoons in a recipe), using the understanding of equivalent fractions</li> <li>understanding the processes for adding and subtracting fractions with related denominators and fractions as an operator, in preparation for calculating with all fractions; for example, using fraction overlays and number lines to give meaning to adding and subtracting fractions with related and unrelated denominators</li> </ul>
VC2M6N08

Approximate numerical solutions to problems involving rational numbers and percentages, using appropriate estimation strategies <ul> <li>using familiar fractions, decimals and percentages to approximate calculations, such as 0.3 of 180 is about 1/3 of 180, or 52% is about 1/2</li> <li>choosing appropriate estimation strategies including rounding to the nearest whole number, knowledge of multiples of 2, 5 or 10 and partitioning numbers, in contexts such as measuring or cost per unit</li> <li>recognising the effect of rounding on calculations involving fractions or decimals and saying what numbers the answer will be between</li> <li>recognising the usefulness of estimation to check calculations for contexts such as dividing wood into a number of lengths, calculating cost per unit, reducing a recipe or dividing the cost of dinner for a group into individual amounts</li> <li>verifying solutions by estimating percentages in suitable contexts, such as discounts, using common percentages of 10%, 25%, 30%, 50% and 1%</li> <li>investigating estimation strategies to make decisions about steam cooking in ground ovens by Aboriginal and/or Torres Strait Islander Peoples, including catering for different numbers of people and resources needed for cooking</li> </ul>

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