Scholarship practice · Numerical reasoning
Ten numerical reasoning questions in the style of ACER, Edutest and AAS scholarship tests, for Years 4, 5 and 6. Get a mark and a worked solution for every question.
Choose your child’s year, answer the questions, then press Mark my answers at the bottom.
Swim squad
Five swimmers recorded how many laps they swam each day from Monday to Thursday. Each lap is 25 metres.
| Swimmer | Mon | Tue | Wed | Thu |
|---|---|---|---|---|
| Ava | 12 | 15 | 9 | 14 |
| Ben | 10 | 10 | 16 | 12 |
| Chloe | 14 | 8 | 13 | 15 |
| Dev | 9 | 11 | 12 | 14 |
| Eli | 9 | 16 | 11 | 13 |
On which day did the five swimmers swim the most laps altogether?
In a game, 5 copper coins are worth 1 silver coin, 4 silver coins are worth 1 gold coin, and 3 gold coins are worth 1 gem.
How many copper coins are worth the same as 2 gems?
Five friends compare their heights.
Who is the third tallest?
A jacket usually costs $80. It is reduced by 25%. At the checkout, a further 10% is taken off the sale price.
How much does the jacket cost?
Matchsticks are used to make squares in a row:
How many matchsticks are needed for 25 squares in a row?
How many whole numbers from 1 to 100 can be divided exactly by 6 but not by 4?
A garden is a rectangle 10 m long and 8 m wide. A path 1 m wide runs all the way around the inside edge of the garden.
What is the area of the path?
In 4 years, Ana will be twice as old as she was 6 years ago. How old is Ana now?
How many three-digit numbers have digits that add up to 5?
Green paint is made by mixing blue and yellow in the ratio 3 : 5. Jo has 12 litres of blue and 15 litres of yellow.
What is the most green paint she can make?
These are Tuterly’s own questions in scholarship style, not questions from any test provider. No test provider endorses Tuterly.
Tuterly Scholarship
Practice papers tell you a score. The marks come from fixing what went wrong.
Students improve fastest on the questions they can't do yet, not the ones they already can. So Tuterly Scholarship starts with a 40-question diagnostic (the first 10 questions free), then turns every question they got wrong into practice.
Each wrong answer gets a worked solution, then fresh versions of the same idea until it's mastered. That's far easier to do in an app than with a stack of practice papers.
Designed by the tutors at Bayside Academics in Melbourne, who prepare students for scholarship and selective-entry tests every year.
Students earn stars and streaks as questions move to mastered. Parents can see their progress and which skills still need work.
Questions
No. They're Tuterly's own questions, written in the style of scholarship numerical reasoning and maths tests and checked twice. No test provider endorses Tuterly.
Pick the year they're in now. Year 4 students practise for Year 5 entry, Year 5 for Year 6 entry and Year 6 for Year 7 entry, the most common scholarship year.
No. These questions are meant to be done without a calculator, with paper for working. Edutest doesn't allow calculators; for other tests, check the school's instructions.
An app for iPhone that starts with a 40-question numerical reasoning diagnostic: the first 10 questions are free, with results for those 10, and a one-off Scholarship Pass for your child's entry level unlocks the rest. Then your child practises the exact questions they got wrong, with worked solutions and fresh versions until each one is mastered. Parents can follow their progress. Sign up on this page to hear when it's ready and get a launch discount.