# New interactive problems for August 2024

See which topics had new problems added in August 2024, and use the links to check the new problems out for yourself.

It's time for this month's update on the topics that received new interactive problems — this time for August. The update is divided between the changes made in our Australian textbooks and those in our US textbooks.

As always, if there's a chapter or topic that you feel could benefit from additional problems—whether something is missing or it needs a broader selection of questions—please reach out to our support team through the chat icon in the Mathspace app.

## Australia

### Australian Curriculum Year 10 - v9 2024

- 11.04 Similar triangles (19 New Problems)
- 11.05 Further geometric proofs (4 New Problems)
- 16.01 Two-way tables (1 New Problem)
- 6.06 Optional: Solve exponential equations with logarithms (2 New Problems)
- 9.05 Angles of elevation and depression (8 New Problems)

### Australian Curriculum Year 8 - v9 2024

- 11.01 Measures of centre and spread (2 New Problems)
- 6.03 Linear graphs (15 New Problems)

### Australian Curriculum Year 9 - v9 2024

- 10.04 With and without replacement (16 New Problems)
- 8.01 Pythagoras' theorem (7 New Problems)
- 8.04 Angles (17 New Problems)

### NSW Year 10 2024

- REVIEW Numbers of any magnitude (3 New Problems)
- 10.06P Solve exponential equations with logarithms (2 New Problems)
- 14.03P Proofs involving similar triangles (19 New Problems)
- 14.04P Further geometric proofs (4 New Problems)
- REVIEW Probability (P) (1 New Problem)
- 19.01C Two-way tables (1 New Problem)
- REVIEW Finance (1 New Problem)
- REVIEW Expand and factorise (P) (2 New Problems)
- REVIEW Simultaneous equations (P) (6 New Problems)
- REVIEW Linear inequalities (P) (4 New Problems)
- REVIEW Quadratic graphs (12 New Problems)
- REVIEW Quadratic equations (P) (1 New Problem)

### NSW Year 8 2024

- 10.05 Area of sectors (3 New Problems)
- REVIEW Statistics (4 New Problems)

### NSW Year 9 2024

- 11.04C Two-step events (16 New Problems)
- 9.05C Angles (17 New Problems)
- 9.07C Angles of elevation and depression (8 New Problems)

### VIC2.0 Year 10 2024

- 13.05 Angles of elevation and depression (8 New Problems)
- 15.04 Similar triangles (19 New Problems)
- 15.05 Further geometric proofs (4 New Problems)
- 20.01 Two-way tables (1 New Problem)
- 9.06 Optional: Solve exponential equations with logarithms (2 New Problems)

### VIC2.0 Year 8 2024

- 12.01 Measures of centre and spread (2 New Problems)
- 7.03 Linear graphs (15 New Problems)

### VIC2.0 Year 9 2024

- 10.04 With and without replacement (16 New Problems)
- 8.01 Pythagoras' theorem (7 New Problems)
- 8.04 Angles (17 New Problems)

## United States

### Mathspace Virginia: Algebra 1 for 2023 SOLs

- 1.01 Algebraic expressions (13 New Problems)
- 1.04 Multi-step equations (45 New Problems)
- 1.06 Multi-step inequalities (11 New Problems)

### Mathspace Virginia: Algebra 2 for 2023 SOLs

- 1.01 Characteristics of functions (3 New Problems)
- 1.04 Piecewise functions (8 New Problems)
- 1.05 Absolute value equations (5 New Problems)
- 7.01 Formulate questions and collect bivariate data (9 New Problems)

### Mathspace Virginia: Grade 6 for 2023 SOLs

- 1.03 Multiply fractions and mixed numbers (5 New Problems)
- 1.04 Divide fractions and whole numbers (2 New Problems)
- 1.05 Divide fractions and mixed numbers (1 New Problem)
- 2.02 Percents as decimals (5 New Problems)
- 9.02 Create and interpret circle graphs (42 New Problems)
- 9.07 Outliers (1 New Problem)

### Mathspace Virginia: Grade 7 for 2023 SOLs

- 5.02 Theoretical probability (9 New Problems)
- 5.03 Experimental probability (9 New Problems)
- 5.04 Formulate questions and collect data (14 New Problems)
- 5.05 Histograms (7 New Problems)
- 5.06 Compare data representations with histograms (1 New Problem)
- 6.05 Properties of quadrilaterals (10 New Problems)

### Mathspace Virginia: Grade 8 for 2023 SOLs

- 4.01 Data collection and sampling (23 New Problems)
- 4.02 Boxplots (4 New Problems)
- 4.05 Scatterplots and lines of best fit (39 New Problems)
- 6.02 Pythagorean theorem (21 New Problems)

### VA SOL Skills Book

#### A1. Equations and Inequalities

- A.EI.1b Solve equations with fractions (10 New Problems)
- A.EI.1b Solve equations with fractions (10 New Problems)
- A.EI.1b Solve equations with like terms (5 New Problems)
- A.EI.1c Solve multi-step inequalities (Level 1) (3 New Problems)
- A.EI.1c Solve multi-step inequalities (Level 2) (5 New Problems)

#### A1. Statistics

- A.ST.1a Write questions for collecting bivariate data (9 New Problems)
- A.ST.1b Identify independent and dependent variables (1 New Problem)
- A.ST.1c Determine appropriate sampling methods (11 New Problems)
- A.ST.1g Explain slope and y-intercept of linear models (2 New Problems)
- A.ST.1h Analyze relationships in scatterplots II (5 New Problems)

#### A2. Statistics

- A2.ST.2a Formulate questions for collecting bivariate data (9 New Problems)
- A2.ST.2c Create scatterplots (8 New Problems)

#### G. Reasoning, Lines and Transformations

- G.RLT.3a Equations for lines of symmetry (3 New Problems)

#### G. Triangles

- G.TR.2b Prove triangles are congruent using algebra (12 New Problems)
- G.TR.3c Prove triangles are similar using coordinates (8 New Problems)
- G.TR.4g Distance in the coordinate plane (16 New Problems)

#### Grade 6. Computation & Estimation

- 6.CE.2a Model multiplication/division of integers with counters (10 New Problems)

#### Grade 6. Number & Number Sense

- 6.NS.2c Compare integers using symbols (1 New Problem)

#### Grade 6. Probability & Statistics

- 6.PS.1a Write questions for collecting data (circle graphs) (10 New Problems)
- 6.PS.1b Collect data for circle graphs (14 New Problems)
- 6.PS.1d Create circle graphs (18 New Problems)
- 6.PS.2c How outliers affect mean, median, mode, or range (1 New Problem)

#### Grade 7. Measurement & Geometry

- 7.MG.3d Find side lengths using properties of quadrilaterals (19 New Problems)

#### Grade 7. Probability & Statistics

- 7.PS.2d,e Create histograms (7 New Problems)
- Review: Sample spaces & the counting principle (11 New Problems)

#### Grade 8. Measurement & Geometry

- 8.MG.3c Find coordinates of translated and reflected polygons (4 New Problems)
- 8.MG.4d Find side lengths of right triangles (20 New Problems)

#### Grade 8. Number & Number Sense

- 8.NS.1b Rational approximations of irrational numbers (1 New Problem)

#### Grade 8. Probability & Statistics

- 8.PS.1a Identify independent and dependent events (1 New Problem)
- 8.PS.1c Find probability of independent events (12 New Problems)
- 8.PS.1d Find probability of dependent events (9 New Problems)
- 8.PS.2a Write questions for data collection (boxplots) (12 New Problems)
- 8.PS.2b Collect data for boxplots (7 New Problems)
- 8.PS.3a Write questions for data collection (scatterplots) (8 New Problems)
- 8.PS.3b Collect data for scatterplots (7 New Problems)