Year 11 Maths Standard study notes and practice questions

For Year 11 and 12 students sitting the HSC, VCE, QCE, SACE, WACE and more. Each unit has short study notes, flashcards and practice questions, and the app builds timed practice exams from the whole course.

• Formulae and equationsSubstitution into formulae; Solving linear equations; Changing the subject; Formulae in everyday life
• Linear relationshipsGradient and intercept; Linear models; Direct variation; Interpreting linear graphs
• Applications of measurement and timeErrors and accuracy; Area and the trapezoidal rule; Volume and capacity; Units and energy; Time and time zones
• Money mattersEarning money; Simple interest; Compound interest; Budgeting, GST and bills
• Data analysisTypes of data and sampling; Measures of centre; Spread: quartiles, box plots and outliers; Standard deviation and comparing data sets
• Relative frequency and probabilityLanguage and sample spaces; Theoretical probability and complements; Relative frequency and expected frequency; Multistage events

4 multiple choice and 2 written questions. Try each one before you open the answer. Written answers show the model answer and what a full-marks response needs.

1. Question 1. Formulae and equationsMultiple choice

   An adult dose is 350 mg. Clark’s rule for a 35 kg child gives…

   1. A35 mg
   2. B350 mg
   3. C70 mg
   4. D175 mg
   Show answer

   D. 175 mg

   35/70 = 1/2.

2. Question 2. Linear relationshipsMultiple choice

   Which is NOT direct variation?

   1. Ay = 0.3x
   2. By = 2x + 1
   3. Cy = 5x
   4. Dy = x
   Show answer

   B. y = 2x + 1

   It does not pass through the origin.

3. Question 3. Linear relationships: linear models3 marks

   Two electricians charge: A, $60 call-out plus $70 per hour; B, $100 call-out plus $60 per hour. When are they equal, and which is cheaper for a 6-hour job?

   Show model answer and marking criteria

   Model answer. Equal when 60 + 70h = 100 + 60h, so 10h = 40 and h = 4 hours. For 6 hours: A costs 60 + 420 = $480 and B costs 100 + 360 = $460, so B is cheaper.

   A full-marks answer:

   • 60 + 70h = 100 + 60h
   • h = 4 hours
   • At 6 hours: A $480, B $460, so B is cheaper
4. Question 4. Applications of measurement and timeMultiple choice

   Which measurement is most precise?

   1. A3.21 m
   2. B3.215 m
   3. C3 m
   4. D3.2 m
   Show answer

   B. 3.215 m

   Smallest unit.

5. Question 5. Applications of measurement and time: units and energy3 marks

   A family runs a 2400 W clothes dryer for 1.5 hours, 4 times a week. At 32 cents per kWh, find the yearly cost (52 weeks).

   Show model answer and marking criteria

   Model answer. Each use uses 2400 × 1.5 ÷ 1000 = 3.6 kWh. Over a year: 3.6 × 4 × 52 = 748.8 kWh. Cost = 748.8 × 0.32 = $239.62 (to the nearest cent).

   A full-marks answer:

   • Each use: 2.4 × 1.5 = 3.6 kWh
   • Yearly energy 3.6 × 4 × 52 = 748.8 kWh
   • Cost 748.8 × 0.32 = $239.62
6. Question 6. Money mattersMultiple choice

   $25 per hour for 12 hours is…

   1. A$312
   2. B$250
   3. C$300
   4. D$37
   Show answer

   C. $300

A few of the 91 Year 11 Maths Standard flashcards. In the app they use spaced repetition: rate each card Again, Hard, Good or Easy and it comes back just before you would forget it.

• SubstitutionReplace pronumerals by values, then follow the order of operations.
• GradientRise ÷ run = (y₂ − y₁)/(x₂ − x₁)
• Absolute error½ × smallest unit of measurement
• WageHourly rate × hours worked

Most marks come from applying a method to a real situation: a loan, a network, a data set. Write the formula, substitute with units and say what the answer means in context. Practise with your formula sheet so you know where everything is before the exam.

Press Study for me and the app builds a 15 to 20 minute session from the cards that are due, the mistakes that are due and questions on your weakest topics. Practice questions come in three levels, and anything you get wrong comes back 1, 3 and 7 days later until you get it right. When an exam is close, sit a timed practice exam with AI marking.

Your state, your exam

Maths Standard goes by different names around Australia. In the app the course shows under your state’s name: NSW: Maths Standard; VIC, QLD, SA, TAS, ACT, NT: General Mathematics; WA: Mathematics Applications.

When you set up Year 11, you pick your state (NSW, VIC, QLD, SA, WA, TAS, ACT or NT) and your subjects. The AI then pitches explanations and marking at your certificate’s level. Courses differ between states, so compare the units above with your course outline, and turn your class notes into extra decks for anything that’s different.

Maths Standard in Year 12

Year 12 Maths Standard study notes and practice questions.

More Year 11 courses

Year 11 Maths Advanced, Year 11 English, Year 11 Modern History, Year 11 Biology, Year 11 Chemistry, Year 11 Business Studies, Year 11 Legal Studies, Year 11 PDHPE. All Year 11–12 subjects.