A
Aris Academy

Selective Practice Week 0

34 questions + 1 writing prompt · 14 February 2026 · aris-academy.com

Want instant marking? Take this test online for free.
Module 01

Mathematics

34 questions

Q1. Number Patterns

What is the next number in this pattern?

3, 5, 8, 12, 17, ?

A. 21
B. 22
C. 23
D. 24
E. 25

Q2. Counting with Exclusion

How many whole numbers between 1 and 50 inclusive are multiples of 4, but are not multiples of 3?

A. 4
B. 7
C. 8
D. 9
E. 12

Q3. Number Sentence

Mia is solving a number puzzle.

What number makes this number sentence true?

77 ÷ □ = 7

A. 12
B. 11
C. 10
D. 9
E. 13

Q4. Faulty Scale (Zero Offset)

There is something wrong with these scales. The pointer does not start at 0 kg when empty. Apart from this the scales work normally. 2 identical weights are placed on the scales. The pointer makes less than a full turn.

What is the mass of one weight?

A. 10 kg
B. 15 kg
C. 17 kg
D. 19 kg
E. 30 kg

Q5. Paired Weights

Three different boxes are weighed in pairs. Different pairs have combined weights of 33 kg, 34 kg and 51 kg as shown.

When the three boxes are weighed together, what is their combined weight?

A. 59 kg
B. 67 kg
C. 84 kg
D. 85 kg
E. 118 kg

Q6. Rounding

Ethan and Zara both round the number 8,070,865.

Ethan rounds the number to the nearest million. Zara rounds the number to the nearest hundred thousand.

What is the difference between their answers?

A. 200,000
B. 8,000,000
C. 16,100,000
D. 8,100,000
E. 100,000

Q7. Bar Chart Analysis

The bar chart shows the books read by Ava.

Here are three statements about the chart:

  1. Feb had the highest books.

  1. Apr had 6 books more than May.

  1. The books in Jan, Feb and Apr combined was more than 25.

Which of these statements are correct?

0 10 20 30 40 5 Jan 12 Feb 2 Mar 7 Apr 3 May Number of Books Month
A. statement 1 only
B. statements 1 and 3 only
C. none of the statements
D. statement 2 only
E. statements 1 and 2 only

Q8. Staircase Area

Here is a shape made of black and white parts. What is the total area that is black?

A. 19 cm²
B. 44 cm²
C. 45 cm²
D. 46 cm²
E. 47 cm²

Q9. 3D Shape Properties

What is the sum of the number of faces, the number of edges and the number of vertices of a prism with a square base?

A. 18
B. 20
C. 22
D. 26
E. 32

Q10. Place Value

Oscar subtracts the smallest three-digit whole number from the largest four-digit whole number.

What is the answer?

A. 9,889
B. 9,898
C. 9,899
D. 9,900
E. 9,909

Q11. Fraction Sharing

Isla bought 4 pies to share.

  • Grace ate 1/2 pies

  • Oscar ate 1/4 pies

  • Max ate 1/2 pies

How much pie was eaten in total?

A. 3/8
B. 1
C. 1 1/4
D. 1 1/2
E. 2 3/4

Q12. Multi-Statement

Consider the fractions: 5/6, 7/8, 3/4, 4/5.

Here are three statements:

  1. 5/6 + 7/8 = 41/24.

  1. 5/6 is greater than 3/4.

  1. 7/8 + 3/4 = 12/8.

Which of these statements are correct?

A. statements 1 and 2 only
B. none of the statements
C. statements 1, 2 and 3
D. statement 1 only
E. statement 2 only

Q13. Symbol Algebra

Each symbol represents a different number.

☆, ○, △ each represent a different value.

If:

4 × ☆ = 20

○ = ☆ + 10

△ = ○ − 6

What is △?

A. 5
B. 8
C. 9
D. 10
E. 15

Q14. Jug Ratio (Visual Reading)

Chen is making a mixed fruit drink for a party. He puts some strawberry juice into the jug, as shown.

He then adds 5 times as much lemonade.

How many millilitres of fruit drink does Chen make?

02004006008001000mL
A. 2250 mL
B. 2700 mL
C. 3150 mL
D. 3250 mL
E. 3900 mL

Q15. Symmetry of Digits

The digits below are shown in calculator-style (seven-segment display), like on a digital clock.

What type of line symmetry does the digit 5 have?

A. Diagonal only
B. Vertical only
C. Neither vertical nor horizontal
D. Both vertical and horizontal
E. Horizontal only

Q16. Rotation

The equilateral triangle above is rotated clockwise into the position shown below. Through what angle is it rotated clockwise?

A. 60°
B. 120°
C. 180°
D. 240°
E. 300°

Q17. Digit Value Comparison

In our number system, the value represented by a digit depends on its position. For example, in the number 456, the digit 5 represents 50.

In the number 70,080, how many times larger is the value represented by the digit 7 than the value represented by the digit 8?

A. 875 times
B. 1,000 times
C. 1,750 times
D. 4,375 times
E. 8,750 times

Q18. Fraction Wall

Noah divides a white canvas into equal sections.

He fills some sections orange, as shown.

Noah then fills 1/5 of the whole canvas yellow.

Finally, he fills the rest of the canvas mint.

How many sections does he paint mint?

A. 1
B. 2
C. 3
D. 4
E. 14

Q19. Cube Nets

The diagrams show 5 shapes, each made of 6 connected squares.

Which of these shapes can be folded to make a cube?

Net ANet BNet CNet DNet E
A. Nets A, B and D
B. Nets A, B and C
C. Nets B, C and D
D. Nets A, B, C and D
E. Nets A, C and D

Q20. Money Distribution

Emma had $20.

Emma gave some to Liam.

Liam then gave half of what he had left to Oliver.

Oliver gave two thirds of what he was given to Jason.

Jason received $5.

How much did Emma give to Liam?

A. $2.50
B. $5
C. $7.50
D. $15
E. $15.50

Q21. Scale Reading (mass/tare weight)

Priya places a bowl of sugar on a kitchen scale. The bowl weighs 330 g when empty.

The scale below shows the total weight.

How much sugar is in the bowl?

A. 330 g
B. 470 g
C. 510 g
D. 550 g
E. 840 g

Q22. Probability & Ratio

Mia has red, yellow, blue and green buttons in a jar.

If Mia takes one button out without looking:

the probability of red is 0.15

the probability of yellow is 0.25

the probability of blue is 0.35

What is the probability that Mia takes out a green button?

A. 0.15
B. 0.25
C. 0.3
D. 0.35
E. 0.75

Q23. Rectangle Algebra

James makes shapes using identical rectangular cards, each with the letter N on it.

James arranges 2 cards to make Shape X and 3 cards to make Shape Y, as shown below.

The perimeter of Shape X is 88 cm and the perimeter of Shape Y is 122 cm.

What is the length of each card?

A. 15 cm
B. 16 cm
C. 17 cm
D. 18 cm
E. 19 cm

Q24. Magic Square

In a 'magic square', each row, column and diagonal add up to the same total. Some numbers are missing.

What is the missing number at ?

A. 6
B. 7
C. 8
D. 9
E. 10

Q25. Spinner Probability

Jamie has a spinner split into 5 equal sections (6, 4, 2, 3, 7).

Jamie spins and lands on 3. Mia will spin once.

Which statements are correct?

X. The probability that Jamie and Mia's scores add up to more than 7 is 3/5

Y. The probability that Mia's number is greater than Jamie's is 2/5

Z. The probability of Mia getting an odd number is 3/5

A. none of them
B. X and Y only
C. X and Z only
D. Y and Z only
E. X, Y and Z

Q26. Time Calculations

Maya's digital watch reads 2000.

What is the time half an hour later, in 12-hour format?

A. 7:30 pm
B. 9:30 pm
C. 8:30 pm
D. 8:30 am
E. 8:45 pm

Q27. Protractor & Angles

Two angles are on a straight line. One angle is 110°.

What is the missing angle?

A. 90°
B. 60°
C. 250°
D. 80°
E. 70°

Q28. Composite Shape

Sophie draws a large rectangle with width 8 cm and height 12 cm.

A rectangular notch with width 3 cm and height 5 cm is cut from the right side of the rectangle.

What is the perimeter of the shape?

8 cm 12 cm 3 cm 5 cm Not to scale
A. 24 cm
B. 40 cm
C. 44 cm
D. 46 cm
E. 48 cm

Q29. Visual Pattern

Oscar is making a pattern out of white and black tiles. The pattern isn't finished yet.

They want the finished pattern to have one vertical line of symmetry.

What is the smallest number of tiles they need to add onto the right of the pattern?

A. 5
B. 6
C. 7
D. 8
E. 9

Q30. Time Zone Calculations

Olivia leaves Sydney on Thursday at 1700 local time on a 15-hour flight to Los Angeles. Sydney is 18 hours ahead of Los Angeles.

What time is it in Los Angeles when Olivia arrives?

A. Wednesday at 1400
B. Thursday at 1400
C. Friday at 0800
D. Friday at 1400
E. Saturday at 0200

Q31. Simultaneous Equations

In a game, I collect squares and diamonds.

I get points when I collect a square. The number of points for a square is always the same.

I get a different number of points when I collect a diamond. The number of points for a diamond is always the same.

If I collect 5 squares and 2 diamonds, I get 74 points.

If I collect 1 square and 2 diamonds, I get 26 points.

How many points do I get if I collect 1 square and 1 diamond?

A. 5
B. 7
C. 12
D. 19
E. 84

Q32. Number Properties

Casey and Quinn each think of a whole number greater than zero and less than 101.

Casey's number is an even number which is a multiple of 5.

Quinn's number is a multiple of 8.

What is the greatest possible sum of their numbers?

A. 18
B. 195
C. 196
D. 197
E. 198

Q33. Line Graph

Here is a graph showing the growth of a pea plant over 6 weeks.

On which day was the height highest?

051015202530Week 1Week 2Week 3Week 4Week 5Height (cm)
A. Week 1
B. Week 4
C. Week 2
D. Week 5
E. Week 3

Q34. Volume & Capacity

Chen has a beaker containing 200 mL of juice, and a flask containing 1 L of water.

He drinks 20 mL from the beaker.

Finally, he pours water from the flask until the beaker reaches the 250 mL mark.

How much water left in the flask?

beaker (200 mL) flask (1 L)
A. 180 mL
B. 750 mL
C. 910 mL
D. 930 mL
E. 950 mL
Module 02

Writing Prompts

1 prompt

persuasive 30 min · 250-300 words

Screen Time Limits

persuasive Prompt

“Write a persuasive letter to parents arguing whether or not teenagers should have daily screen time limits. Support your argument with logical reasoning and real-world examples.”

Audience: Parents and guardians
Reference

Answer Key

Q1 C
Q2 C
Q3 B
Q4 B
Q5 A
Q6 E
Q7 A
Q8 C
Q9 D
Q10 C
Q11 C
Q12 A
Q13 C
Q14 B
Q15 C
Q16 B
Q17 A
Q18 B
Q19 D
Q20 D
Q21 C
Q22 B
Q23 C
Q24 C
Q25 A
Q26 C
Q27 E
Q28 D
Q29 A
Q30 B
Q31 D
Q32 C
Q33 C
Q34 D
A
Aris Academy

Free selective test preparation · aris-academy.com

© 2026 Aris Academy Pty Ltd. NSW, Australia.

We use analytics cookies to improve the learning experience. You can opt out anytime.

enzhko