Year 7 NAPLAN Numeracy Prep — Set 2
This is a second practice set with 10 brand-new questions covering order of operations, fractions, algebra, linear equations, geometry, measurement and data at Year 7 level — different numbers and scenarios from Set 1, so you can keep building your skills.
Exam Tips for Year 7 Numeracy
What Year 7 NAPLAN Numeracy Tests
Integers
Positive and negative numbers, ordering, adding and subtracting integers.
Ratios & Rates
Simplifying ratios, unit rates, dividing quantities in a given ratio.
Algebra Basics
Evaluating expressions, solving simple equations, substitution.
Geometry
Angles in triangles, area of triangles and parallelograms, volume of prisms.
Probability
Experimental and theoretical probability, expressing probability as fractions, decimals and percentages.
Data & Statistics
Mean, median, mode, range. Interpreting data from tables and graphs.
Knowledge Check (Set 2)
NAPLAN StyleA fresh set of 10 questions with new numbers and scenarios, including multi-step problems and interpretation questions.
Question 1 — Order of Operations
What is -6 - 4 x (-2)?
Question 2 — Fractions
3/5 of the 40 students in a Year 7 class walk to school. How many students walk to school?
Question 3 — Algebraic Expressions
Simplify: 5x + 8 - 2x + 3
Question 4 — Linear Equations
Solve for x: 5x - 7 = 28
Question 5 — Linear Relationships
A rule is given by y = 3x - 4. What is the value of y when x = 6?
Question 6 — Area
A rectangular garden bed is 6.5 m long and 3 m wide. What is its area?
Question 7 — Angles
Two angles lie on a straight line. One angle is 118°. What is the size of the other angle?
Question 8 — Probability
A spinner has 8 equal sections numbered 1 to 8. What is the probability of spinning a number greater than 5?
Question 9 — Multi-step Problem
Movie tickets cost $20 each. A group of 6 friends goes to see a movie, but 2 of them have a student card and pay 25% less. What is the total cost for all 6 tickets?
Question 10 — Interpretation
The table shows the rainfall recorded in a town over 6 days:
Mon: 4 mm, Tue: 0 mm, Wed: 12 mm, Thu: 4 mm, Fri: 8 mm, Sat: 2 mm
What is the mode of the daily rainfall recorded?
Key Concepts Summary
- ●Order of operations: Multiply and divide before you add or subtract, working left to right.
- ●Fraction of a quantity: Divide by the denominator first, then multiply by the numerator.
- ●Simplifying expressions: Combine like terms — add or subtract the coefficients of matching variables and constants separately.
- ●Solving equations: Undo addition or subtraction first, then multiplication or division, to isolate the variable.
- ●Linear rules: Substitute the given x-value into the rule and follow the order of operations to find y.
- ●Angles on a straight line: Always add to 180°.
- ●Area of a rectangle: Length x width, given in square units.
- ●Data: Mode is the most frequent value, mean is the total ÷ count — do not mix them up.