Australia · Year 8 entry

EduTest Year 8 Mathematics free practice questions with answers

Read the opening questions and their worked answers from paper 1 of our 20-paper EduTest Year 8 Mathematics set, then download the 4-page PDF. These are original practice questions, not official past papers. Page updated 3 November 2026.

EduTest Year 8 Mathematics free sample: the opening questions — The opening questions of paper 1

EduTest Year 8 Mathematics free sample: the worked answer — The worked answer

What this sample covers

Topics: Mathematics: fractions; Mathematics: multiplication; Mathematics: area.

Mixed to improper: (whole × denominator + numerator) over the same denominator.
Equal groups: number of groups × number in each group.
Break a shape into pieces you know (rectangles, triangles, circles), find each area, then add or subtract.

Read the text of this sample

Questions

Work through the questions in order. If a question stalls you, move on and come back. Then check your work against the worked solutions.

1. Write 2 A B C D

2. Ivan has 3 bags. Each one holds 19 coins. How many coins are there altogether?

A 57

B 38

C 76

D 22

3. A circular pond with a radius of 4 meters is surrounded by a path 3 meters wide. What is the area of the path alone, in square meters?

A 9π

B 33π

C 6π

D 49π 2 9 as an improper fraction. 20 2 13 9 4 9 20 9 MATHEMATICS — 60 QUESTIONS Multiple choice · 30 minutes

Worked answers

1. Write 2

Correct answer: D —

• Whole × bottom: 2 × 9 = 18.

• Add the top: 18 + 2 = 20.

• The bottom stays 9:

• Why the other options are wrong:

• A (

• B (

• C (

2. Ivan has 3 bags. Each one holds 19 coins. How many coins are there altogether?

[Multiplication]

Correct answer: A — 57

• There are 3 equal groups with 19 in each, so we MULTIPLY.

• 3 × 19

• Split 19 into tens and ones: 3 × 10 = 30 and 3 × 9 = 27.

• Add: 30 + 27 = 57. 2 9 as an improper fraction. [Fractions]

20 9 20 2 ): The denominator stays the same. 13 9 ): Whole × denominator, then add the top. 4 9 ): Multiply the whole number by the denominator first. 20 9 .

• Why the other options are wrong:

• B (38): One group too few.

• C (76): One group too many.

• D (22): Equal groups mean multiply, not add.

3. A circular pond with a radius of 4 meters is surrounded by a path 3 meters wide. What is the area of the path alone, in square meters? [Area]

Correct answer: B — 33π

• Outer radius = 4 + 3 = 7 meters.

• Area of the big circle = π × 7² = 49π; area of the pond = π × 4² = 16π.

• Path = big circle minus pond = 49π - 16π = 33π square meters.

• Why the other options are wrong:

• A (9π): You cannot subtract radii first; subtract the AREAS.

• C (6π): That is not an area.

• D (49π): That is the area of the big circle, including the pond.

Download the free sample: 3 questions and answers (PDF)