Quiz: Year 8 Mathematics Assessment — 14 questions

1. Which mathematical content is covered by Assessment Task 3?

A. Angles, transformations, and symmetry

B. Measurement, ratios, and three-dimensional shapes

C. Fractions, probability, and data displays

D. Equations, circles, and linear relationships

Answer: (D)

Explanation

Assessment Task 3 is an in-class Year 8 Mathematics test covering equations, circles, and linear relationships.

2. On which date is the in-class mathematics test scheduled?

A. Tuesday 2nd September 2026

B. Wednesday 2nd September 2026

C. Monday 2nd August 2026

D. Wednesday 9th September 2026

Answer: (B)

Explanation

The test is scheduled for Wednesday 2nd September 2026.

3. What should a student expect regarding the response format in the test?

A. Only short-answer and extended-response questions require written answers.

B. Multiple-choice questions require answer choices only, while other questions require working.

C. Students may choose between written answers and oral explanations for each question.

D. Written answers are required for multiple-choice, short-answer, and extended-response questions.

Answer: (D)

Explanation

The task includes multiple-choice, short-answer, and extended-response questions, and all require written answers. Thus, the multiple-choice section is not answer-only.

4. Which list contains the types of equations included in the assessment?

A. Linear, exponential, logarithmic, and trigonometric equations

B. Fractions, ratios, percentages, and probability equations

C. One-step, two-step, variables on both sides, and equations with brackets

D. Coordinate, matrix, simultaneous, and differential equations

Answer: (C)

Explanation

The assessment includes one-step and two-step equations, equations with variables on both sides, and equations involving brackets.

5. Which equation is quadratic because the variable is raised to the second power?

A. 3x − 2 = 18

B. 3(x + 2) = 18

C. 3x² = 18

D. 3x + 2 = 18

Answer: (C)

Explanation

The assessed quadratic form is ax² = c, so 3x² = 18 is quadratic. The other equations contain only the first power of x.

6. A student replaces known values in a formula and calculates the result. Which equation skill is being used?

A. Expanding brackets

B. Solving for an unknown

C. Collecting like terms

D. Substitution into a formula

Answer: (D)

Explanation

Substitution evaluates a formula by replacing variables with known values. Solving an equation instead determines an unknown value.

7. Which statement correctly distinguishes parts of a circle from circle measurements?

A. Parts of a circle are measurements, while circumference and area are geometric features.

B. Parts of a circle describe equations, while circumference and area describe variables.

C. Parts of a circle are geometric features, while circumference and area are measurements.

D. Parts of a circle apply to sectors, while circumference and area apply only to triangles.

Answer: (C)

Explanation

Parts of a circle refers to named geometric features, whereas circumference and area are measurements associated with the circle.

8. Which measurement describes the length of only part of a circle’s curved boundary?

A. Area of the circle

B. Circumference

C. Arc length

D. Area of the sector

Answer: (C)

Explanation

Arc length measures part of a circular boundary. Circumference is the perimeter of the complete circle.

9. Which pair of calculations belongs to circle area problems?

A. Finding the diameter of a circle and the length of a chord

B. Finding the circumference of a circle and its arc length

C. Finding the perimeter of a sector and a composite perimeter

D. Finding the area of a circle and the area of a sector

Answer: (D)

Explanation

Circle area problems include finding both the area of a complete circle and the area of a sector.

10. A shape is formed by combining a rectangle with a semicircle attached to one side. Which approach is required to solve a problem about its boundary and surface?

A. Find the arc length alone because composite shapes are measured only along curved edges.

B. Find only the area of the rectangle because the semicircle is not a complete circle.

C. Find the perimeter and area of the composite shape using its rectangular and circular parts.

D. Find only the circumference of the semicircle because the rectangle has no circular boundary.

Answer: (C)

Explanation

Composite shapes involving circles require finding their perimeters and areas by considering the component shapes and the relevant shared or external boundaries.

11. Which sequence correctly represents the usual progression for working with a linear relationship?

A. Number pattern, table of values, then graph on the Cartesian plane

B. Table of values, graph on the Cartesian plane, then number pattern

C. Graph on the Cartesian plane, number pattern, then table of values

D. Number pattern, graph on the Cartesian plane, then table of values

Answer: (A)

Explanation

Linear-relationship work connects a number pattern first to a table of corresponding inputs and outputs, and then to a graph on the Cartesian plane.

12. What is the key difference between a table of values and a graph of a relationship?

A. A table represents a line, while a graph represents unrelated coordinate pairs

B. A table lists corresponding inputs and outputs, while a graph displays the relationship visually

C. A table displays the relationship visually, while a graph lists corresponding inputs and outputs

D. A table shows only inputs, while a graph shows only outputs

Answer: (B)

Explanation

A table records corresponding input and output values, whereas a graph represents those relationships visually using points or a line on the Cartesian plane.

13. A student places the coordinate (4, −2) on the Cartesian plane and then draws the straight line described by an equation. Which description distinguishes these two actions correctly?

A. The first creates a table, while the second identifies an input and output

B. The first plots a point, while the second graphs a linear relationship

C. The first identifies an intersection, while the second creates a number pattern

D. The first graphs a linear relationship, while the second plots a point

Answer: (B)

Explanation

Plotting a point places one coordinate on the plane, while graphing a linear relationship displays the relationship as a line.

14. What does a point-on-a-line problem ask you to determine?

A. Where two specified linear relationships meet

B. Which input produces the greatest output in a table

C. How to convert a graph into a number pattern

D. Whether a given point lies on a specified linear relationship

Answer: (D)

Explanation

A point-on-a-line problem determines whether a particular point belongs to a specified linear relationship. Finding where two relationships meet is an intersection problem.