New interactive problems for August 2024

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)