Stage 5 · Indices C (Path) · Apply knowledge of surds to solve problems · Topic: Indices, roots & surds · Year 9, 10

Apply the 4 operations to simplify expressions involving surds

Dot point ID k-10-2022-stage-5-indices-c-path/inc-kno-stg5-02 · NESA code MA_K_10_CP_INC_KNO_STG5_02 · See it on the NSW Curriculum website ↗

Outcomes for this focus area (MA5-IND-P-02)

MA5-IND-P-02 describes and performs operations with surds and fractional indices (Path: Adv)

Core resources for this dot point

On-level resources, grouped by type. Need the building blocks? Use Support. Ready for more? Use Enrich.

WorksheetDrill Exit ticket
Corbettmaths practice questions: Surds: intro, rules, simplifying
Corbettmaths · Web page · Free · Link checked 2026-10-15 · Answers included, No prep, Printable
Use it for: Free printable graded practice questions (with answers) on surds: intro, rules, simplifying for drill or a quick check.
Also tagged to: Describe the term surd as referring to irrational expression…; Establish and apply the following results for x > 0 and y > …; Rationalise the denominators of surds of the form (a√b)/(c√d…; Expand and simplify expressions involving surds
WorksheetDrill
Kuta free worksheet: Adding and subtracting surds
Kuta Software · PDF · Printable PDF · Free · Link checked 2026-10-15 · Answers included, No prep, Printable
Use it for: Printable skills-practice sheet with answer key on adding and subtracting surds; good for drill or homework.

VideoStarter
Corbettmaths video: Surds: addition/subtraction
Corbettmaths · Video · Free · Link checked 2026-10-15 · No prep
Use it for: Short worked-example video on surds: addition/subtraction to model the method before practice or for flipped revision.

Checked resources for Indices C (Path) as a whole (not mapped to a single dot point).

Unit/Planning
Stage 5 Unit 2 – working with triangles (sample unit of learning)
NSW Department of Education · Sample unit (DOCX) · Editable document · Free · Link checked 2026-10-15 · Australian context, Editable, Teacher notes
Outcome codes found in document: MA5-IND-P-02, MA5-LIN-C-01, MA5-LIN-P-01, MA5-MAG-C-01, MA5-TRG-C-01
Unit/Planning
Stage 5 Unit 4 – index laws (sample unit of learning)
NSW Department of Education · Sample unit (DOCX) · Editable document · Free · Link checked 2026-10-15 · Australian context, Editable, Teacher notes
Outcome codes found in document: MA5-IND-C-01, MA5-IND-P-01, MA5-IND-P-02, MA5-MAG-C-01
Unit/Planning
Stage 5 Year 10 – the unit circle elective (sample unit of learning)
NSW Department of Education · Sample unit (DOCX) · Editable document · Free · Link checked 2026-10-15 · Australian context, Editable, Teacher notes
Outcome codes found in document: MA5-IND-P-02, MA5-TRG-P-02