--- title: "Queensland Academies Entrance Test Maths Practice | Year 7" description: "Queensland Academies Year 7 entrance test: the numerical reasoning and mathematics tests from the academies' own pages, and original logic grid puzzles to practise." canonical: https://learn.modernagecoders.com/queensland-academies-entry-maths-practice source: src/pages/queensland-academies-entry-maths-practice.html --- > Queensland Academies Year 7 entrance test: the numerical reasoning and mathematics tests from the academies' own pages, and original logic grid puzzles to practise. In short Year 7 entry to a Queensland Academy includes an Entrance Test of about three hours, facilitated by Edutest. It mixes ability tests (verbal reasoning, numerical reasoning) and achievement tests (reading comprehension, mathematics, written expression). Numerical reasoning and mathematics each run 30 minutes. The academies say individual test results and parent reports are not distributed. Strong foundations ## Three courses for able upper-primary students Maths and reasoning that serve any Year 7, wherever it is. [![Problem Solving and Computational Thinking for Kids course thumbnail](/images/problem-solving-kids.webp) QAE / 01 Problem solving and logic Deduction, patterns and puzzles, explained step by step. Open the syllabus →](/courses/problem-solving-and-computational-thinking-for-kids)[![Elementary Maths for Grades 1-5 course thumbnail](/images/elementary-maths.webp) QAE / 02 Upper-primary maths Number, measurement, algebra, space and data from the curriculum. Open the syllabus →](/courses/elementary-mathematics-complete-masterclass)[![Maths Olympiad & Competition Course course thumbnail](/images/olympiad-competition-maths.webp) QAE / 03 Competition maths For children who enjoy harder, unfamiliar problems. Open the syllabus →](/courses/olympiad-competition-mathematics-mastery) The Entrance Test ## Five tests, about three hours, ability and achievement From the Queensland Academies admissions site, read on 7 October 2026. | Aspect | Test area | Duration | | --- | --- | --- | | Ability | Verbal reasoning | 30 minutes | | Ability | Numerical reasoning | 30 minutes | | Achievement | Reading comprehension | 30 minutes | | Achievement | Mathematics | 30 minutes | | Achievement | Written expression | 15 minutes | The academies explain the difference between the two kinds of test. Ability tests "are designed to measure a child's ability to think, reason and solve problems, without necessarily relying on prior knowledge." Achievement tests "are designed to measure actual achievement or performance in some key academic areas." Edutest marks the tests and analyses results on behalf of the Queensland Academies. The academies state that they do not distribute individual test results or parent reports. For Year 7 entry in 2028, the academies listed applications due by 4pm, Friday 21 August 2026, and the Entrance Test on either Saturday 5 or Sunday 6 September 2026, allocated automatically. Testing takes place at the academy campuses at Toowong, Kelvin Grove and the Gold Coast, with remote testing possible in limited circumstances. The policy's list of what to bring is short: two black or blue pens, two pencils, an eraser, a sharpener and identification. Sources: [Queensland Academies, Year 7 enrolments](https://qa.eq.edu.au/enrolments/year7-enrolments); [Entrance Test Policy](https://qa.eq.edu.au/enrolments/entrance-test-policy); [Queensland Academies admissions](https://qa.eq.edu.au/). Checked on 7 October 2026. Modern Age Coders is not connected with the academies or Edutest. The two number tests ## Numerical reasoning is not the same as mathematics The academies describe each test in a sentence. Reading them side by side explains how to think about preparation. | Test | Description (quoted) | | --- | --- | | Numerical reasoning (ability, 30 minutes) | "Measures the ability to think and reason using numbers. This includes series, matrices, arithmetical reasoning and deduction." | | Mathematics (achievement, 30 minutes) | "Measures year-level appropriate mathematical knowledge, including items tapping numbers, measurement, algebra, space and data." | The mathematics test checks what a child has learned at school, across the familiar strands. Good everyday teaching is the preparation for it. Numerical reasoning is described as an ability test. Its four named ingredients, series, matrices, arithmetical reasoning and deduction, are about seeing structure in numbers rather than recalling methods. Because ability tests aim to measure reasoning without relying on prior knowledge, we do not think drilling them is worthwhile, and the academies give no indication that families should. What does help a young thinker is enjoying puzzles that need careful, step-by-step deduction. That is a lifelong skill, and the logic grids below are a good way to practise it. Source: [Queensland Academies, Year 7 enrolments: The Entrance Test](https://qa.eq.edu.au/enrolments/year7-enrolments). Checked on 7 October 2026. Puzzles we wrote ## Logic grids: deduction you can see A logic grid lists people down one side and possibilities across the top. Each clue lets you cross out boxes. When only one box is left in a row, that answer is certain. ### One fact per clue Read each clue on its own and cross out only what it rules out. Resist guessing until the grid forces an answer. ### Rows and columns both count If a column has one box left, that value belongs to that person, even if their row still has options. ### Loop back After placing an answer, reread earlier clues. A clue that looked useless often becomes decisive later. | Puzzle | Clues | Solution | | --- | --- | --- | | Ari, Bo and Cam each chose a different number: 4, 7 or 9. | Ari's number is even. Bo's number is bigger than Cam's. | Ari 4, Bo 9, Cam 7 | | Dee, Eli, Fin and Gus finished a race in places 1 to 4. | Gus came second. Fin came last. Dee finished ahead of Eli. | Dee 1st, Gus 2nd, Eli 3rd, Fin 4th | | Three students scored 12, 15 and 18 on a quiz: Hana, Ivo and Jo. | Ivo scored a multiple of 6. Jo scored 3 more than Hana. Hana did not score 15. | Hana 12, Jo 15, Ivo 18 | | Kai, Lia and Max each own one pet: a cat, a dog or a fish. Their pets have 4, 4 and 0 legs. | Kai's pet has no legs. Lia is allergic to cats. | Kai fish, Lia dog, Max cat | The third puzzle carries a lesson about checking. With only its first two clues, it has two answers. "Ivo scored a multiple of 6" leaves Ivo with 12 or 18, and "Jo scored 3 more than Hana" fits both Hana 12 with Jo 15 and Hana 15 with Jo 18. So Ivo 18, Hana 12, Jo 15 works, and so does Ivo 12, Hana 15, Jo 18. The third clue, Hana did not score 15, removes the second answer and leaves exactly one. A good puzzle needs exactly one solution, and looking for a second one is part of the work, not an extra. Students who learn to ask "could anything else also fit?" become much more careful readers of clues, in puzzles and in every subject where conclusions are drawn from evidence. A grid, solved slowly ## Walking through the race puzzle Seeing every step once makes the method easy to repeat. Draw a grid with Dee, Eli, Fin and Gus down the side and places 1, 2, 3 and 4 across the top. The first clue, Gus came second, fills one box outright: tick Gus under 2 and cross out every other box in Gus's row and in the place 2 column. The second clue, Fin came last, does the same for Fin and place 4. Now only places 1 and 3 remain, and only Dee and Eli remain to fill them. The final clue, Dee finished ahead of Eli, decides it: ahead means a smaller place number, so Dee takes 1 and Eli takes 3. Every box in the grid is now either ticked or crossed, and each clue can be checked against the finished grid in a few seconds. Notice that no step involved guessing. Each tick was forced by a clue or by the boxes already crossed out. That is what deduction means, and it is why logic grids are a calm, confidence-building way for young students to practise reasoning: when a child cannot place an answer, the grid shows exactly which clue to reread. About the academies ## What kind of schools these are Facts only, from the academies' own pages; no advice about whether to apply. The Queensland Academy for Science, Mathematics and Technology describes itself as an academically selective state school that offers the International Baccalaureate programmes exclusively, with the Middle Years Programme in Years 7 to 9 and the Diploma Programme in Years 10 to 12. The admissions site serves all three Queensland Academies, and the Entrance Test Policy names their campuses at Toowong, Kelvin Grove and the Gold Coast. Whether a selective school suits a particular child is a family decision, and one we deliberately leave to families and the schools. Number series ## Series and simple matrices we wrote The academies name series and matrices as part of numerical reasoning. These original examples show the kinds of structure worth noticing. | Pattern | Next term | Rule | | --- | --- | --- | | 3, 7, 15, 31, ... | 63 | Double and add 1 | | 2, 5, 10, 17, 26, ... | 37 | Add 3, 5, 7, 9, then 11: the gaps are consecutive odd numbers | | 81, 27, 9, 3, ... | 1 | Divide by 3 each time | | 1, 1, 2, 3, 5, 8, ... | 13 | Add the two previous terms | | A 3 by 3 grid with rows 2, 3, 6 / 4, 5, 20 / 7, 2, ? | 14 | In each row the third number is the first two multiplied | For every series, the habit is the same: write the gaps underneath, then the gaps between the gaps if needed. The second pattern hides its rule until the gaps are written out; the fourth needs a different idea altogether, looking back two terms. Trying more than one kind of rule, and checking it on every term rather than only the first two, is what turns pattern spotting into reasoning. Deduction, step by step ## Four stages for young reasoners Children grow into careful deduction over years of puzzles and discussion. | Stage | The child can | Secure when | | --- | --- | --- | | 1. Single clues | Use one clue to rule something out | Crosses out the right boxes for each clue | | 2. Combining clues | Use two clues together | Solves the race puzzle without trial and error | | 3. Checking uniqueness | Look for a second solution | Spots that the quiz puzzle first had two answers | | 4. Explaining | Write why each answer is forced | Explains a solution in clear sentences | ### Balance and wellbeing Ability tests aim to measure reasoning rather than practice, so heavy preparation has little point and adds pressure. Puzzles enjoyed as a family build the same thinking without any stress. ### Other states The NSW Year 7 test is described on [NSW selective test maths](/nsw-selective-test-mathematical-reasoning-practice). For NAPLAN in the primary years, see [NAPLAN Year 5 numeracy](/naplan-year-5-numeracy-practice). Courses for Years 5 and 6 ## Maths and reasoning courses Grouped by focus. Each card links to a full syllabus. I ### Reasoning Deduction and patterns QAE / R / 01 #### Problem solving and computational thinking Logic and patterns, step by step. [Open the syllabus](/courses/problem-solving-and-computational-thinking-for-kids) QAE / R / 02 #### Competition maths Puzzles for keen minds. [Open the syllabus](/courses/olympiad-competition-mathematics-mastery) QAE / R / 03 #### Maths through coding Patterns explored in code. [Open the syllabus](/courses/maths-through-coding)II ### Curriculum maths Number to data QAE / C / 01 #### Primary maths All strands, taught carefully. [Open the syllabus](/courses/elementary-mathematics-complete-masterclass) QAE / C / 02 #### Mental maths Confident calculation. [Open the syllabus](/courses/mental-maths-mastery-kids) QAE / C / 03 #### Statistics and probability Data and chance. [Open the syllabus](/courses/statistics-probability-maths-course)III ### Ahead Secondary readiness QAE / A / 01 #### Middle years maths Years 7 to 9 content. [Open the syllabus](/courses/comprehensive-middle-school-mathematics-mastery) QAE / A / 02 #### Algebra foundations Patterns become rules. [Open the syllabus](/courses/algebra-foundations-masterclass) QAE / A / 03 #### IB mathematics For much later, for families interested in IB. [Open the syllabus](/courses/ib-mathematics-aa-ai-masterclass) Our classes ## Live puzzle-rich lessons for Queensland families Teachers work from India, behind Brisbane by four and a half hours all year, as Queensland has no daylight saving. A 4 pm Brisbane class starts at 11.30 am India time. After school A good fit for Years 5 and 6. Weekend Relaxed puzzle sessions. Holidays Short logic and maths workshops. ### Grids on paper Children draw and fill logic grids as they reason. ### Explain the deduction Every placed answer comes with its reason. ### Fifteen to twenty per group Children at similar levels learn together. ### One-to-one lessons Available when focused help suits better. ### Not test coaching We teach reasoning and maths, not test drills. ### No admissions claims Selection is the academies' decision alone. Student work ## Student creations Projects our learners built for fun. Explore the [student labs](/student-labs). ![NutriLife AI nutrition coach project screenshot](/images/projects/nutrilife.webp) AI and ML #### NutriLife An AI nutrition coach that reads what you eat and works you toward a target. by Bhavya · [Open it](https://nutrilife-bhavya.lovable.app) ![Misti AI chatbot for maths and coding screenshot](/images/projects/misti.webp) AI and ML #### Misti A chatbot that answers mathematics and programming questions, built and deployed by a student. by Harshit · [Open it](https://misti.modernagecoders.com) ![GuardianX AI internet safety assistant screenshot](/images/projects/guardianx.webp) AI and ML #### GuardianX An assistant that helps a young person recognise unsafe situations online. by Vivaan · [Open it](https://guardianx-cybersaver.lovable.app) ![SkyCast weather forecast application screenshot](/images/projects/skycast.webp) Web app #### SkyCast A weather forecasting site with live conditions for any location. by Krish Fees ## Fees Queensland families pay each month in US dollars, our rate in every country except India. No deposit, and you can stop at any month end. Free first class USD 0 no card required - A real lesson with a teacher - Honest advice about next steps - No card required Book it Group batch USD 100 a month, billed in US dollars - Fifteen to twenty children at one level - One regular teacher - Feedback on every puzzle - Certificate at the end Start here One to one USD 150 a month, billed in US dollars - One teacher, one child - Focus on chosen skills - Times that suit you Enquire What families say ## Rated 4.9 across 547 Google reviews Google reviews from parents, quoted as written. ★★★★★ "The one step solution for my son. Modern Age Coders make learning coding so simple that kids love it. The teachers explain complex concepts clearly with practical exercises and interactive content." Ria Mukherjee Parent ★★★★★ "Modern Age Coders has been a game-changer for me. I struggled to grasp IT concepts and coding before joining, but their classes transformed everything. I can now confidently write complex programs with ease." Samriddha Mondal Student ★★★★★ "One of the most wonderful education centres out there. Education is not limited to school syllabus but focuses on skill development." Vansh Agarwal Student ★★★★★ "My child Dhairya is really enjoying the Modern Age Coders classes. This is his first online class and he eagerly looks forward to it. I can already see his improvement, and the teachers are very cooperative." Sonam Oswal Parent of Dhairya ★★★★★ "Modern Age Coders have wonderful teachers who teach in a clear, easy and practical way. The teacher boosts students' confidence and inspires them to learn without hesitation." Sonu Goyal Parent ★★★★★ "I highly recommend this computer coding class! The teachers are incredibly knowledgeable and passionate about coding." Ritu Kedia Parent Questions about the Queensland Academies test ## Queensland families ask ### What is in the Queensland Academies Year 7 Entrance Test? Five tests over about three hours: verbal reasoning, numerical reasoning, reading comprehension, mathematics and written expression, facilitated by Edutest. ### How long are the maths parts? Numerical reasoning and mathematics each take 30 minutes, according to the academies' Year 7 enrolments page. ### What is numerical reasoning? The academies describe it as measuring the ability to think and reason using numbers, including series, matrices, arithmetical reasoning and deduction. ### How is it different from the mathematics test? Mathematics is an achievement test of year-level knowledge across numbers, measurement, algebra, space and data. Numerical reasoning is an ability test of reasoning with numbers. ### What is a logic grid? A table listing people against possibilities, in which each clue lets you cross out boxes until only one answer remains for each person. ### Do families receive test results? The academies say they do not distribute individual test results or parent reports. ### Where is the test held? The policy names the QASMT campus at Toowong, QACI at Kelvin Grove and QAHS on the Gold Coast, with remote testing in limited circumstances. ### Can you help with applications or shortlisting? No. We give no admissions, application or school-choice advice. ### Will lessons improve my child's result? We promise no result. We teach maths and reasoning that are valuable on their own terms. ### What time would lessons be in Brisbane? We agree a weekly time after the free trial. Brisbane is four and a half hours ahead of India time all year. Related pages ## More for Queensland families Maths, NAPLAN and coding. ### [Online maths tutoring in Australia](/online-maths-tutoring-australia) Live classes for every year. ### [NAPLAN Year 5 numeracy](/naplan-year-5-numeracy-practice) Upper-primary numeracy. ### [Reasoning puzzles](/nsw-selective-test-thinking-skills-practice) Spotting flaws in arguments. ### [Coding for 11 and 12 year olds](/coding-classes-for-11-and-12-year-olds-australia) Logic in programming. ### [Competitions calendar](/australian-coding-maths-and-ai-competitions-calendar) Contests across Australia. ### [Maths challenges](/maths-challenges) Puzzles to try at home. Start here ## Book a free maths and reasoning class Tell us your child's year and what they enjoy. The trial is a real lesson in reasoning, and we will give honest advice about whether more is worthwhile. Prefer to explore first? The [course atlas](/course-atlas) shows every course, and [how we teach](/how-we-teach) describes a lesson. [WhatsApp us](https://wa.me/919123366161?text=Hello%20Modern%20Age%20Coders%2C%20I%20would%20like%20a%20free%20maths%20and%20reasoning%20class%20for%20my%20upper-primary%20child%20in%20Queensland.) · [+91 91233 66161](tel:+919123366161) · [connect@modernagecoders.com](mailto:connect@modernagecoders.com) WhatsApp brings the fastest reply. Our +91 number is Indian; the school operates from India, with no Australian premises. ### Want a class sooner? Book a priority demo A priority demo is a full class of about 45 to 60 minutes. After the class the mentor sends a written skill report and a personal learning roadmap on WhatsApp. If you enrol, the demo fee is adjusted against your first month's fee. Share your demo Order ID with us on WhatsApp and we take it off. [Book a priority demo](/book-demo) ## Keep exploring Modern Age Coders ### More maths tuition - [Primary Maths Challenge Practice](/primary-maths-challenge-practice) - [SAT Math Tutoring Online](/sat-math-tutoring-online) - [Precalculus Tutoring Online](/precalculus-tutoring-online) - [Transfer Test Maths Practice, Northern Ireland](/transfer-test-maths-practice-northern-ireland) - [Online Maths Tutoring for Teens in the USA](/online-maths-tutoring-for-teens-in-usa) - [UKMT Team Maths Challenge Practice](/ukmt-team-maths-challenge-practice) - [11 Plus Maths Tuition Slough](/11-plus-maths-tuition-slough) - [11 Plus Maths Tuition Plymouth](/11-plus-maths-tuition-plymouth) - [11 Plus Maths Tuition Kingston](/11-plus-maths-tuition-kingston) - [Maths Tutor in Abu Dhabi](/maths-tutor-in-abu-dhabi) ### Learn more - [11 Plus Maths Prep: UK Grammar & Independent School Entry](/courses/11-plus-maths-preparation-course-uk) - [11 Common Coding & Maths Mistakes Students Make](/mistakes-students-make) - [Business & Finance Mathematics: Investment to Risk](/courses/complete-business-finance-mathematics-mastery) - [College Maths Course: Calculus, Linear Algebra to Analysis](/courses/college-mathematics-complete-masterclass) ### From the blog - [Maths Learning Guides](/blog/topic/maths) - [Coding for 5-Year-Olds: How Young Kids Can Start Learning Programming?](/blog/coding-for-5-year-olds-young-kids-start-learning-programming) - [PCEP vs PCAP: Which Python Certification Is Worth It?](/blog/pcep-vs-pcap-which-python-certification) - [Why Can I Understand Solutions but Not Solve Problems?](/blog/why-can-i-understand-solutions-but-not-solve-problems) ### Start here - [About Modern Age Coders, teaching since 2020](/about) - [Modern Age Coders pricing, one honest price per plan](/pricing) Free class[Priority demo](/book-demo)[Call us](tel:+919123366161) --- *Canonical: https://learn.modernagecoders.com/queensland-academies-entry-maths-practice*