Year 7 NAPLAN Numeracy Prep
Practise exam-style questions covering integers, ratios, algebra, geometry, probability and data interpretation at Year 7 level.
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
NAPLAN Style10 questions including multi-step problems and interpretation questions.
Question 1 — Integers
What is -8 + 15?
Question 2 — Ratios
A recipe uses flour and sugar in the ratio 3 : 1. If you use 450 g of flour, how much sugar do you need?
Question 3 — Algebra
If 3x + 5 = 20, what is the value of x?
Question 4 — Geometry
The angles of a triangle are 55°, 70° and x°. What is x?
Question 5 — Probability
A bag contains 3 red, 5 blue and 2 green marbles. What is the probability of randomly drawing a blue marble?
Question 6 — Statistics
The test scores of 5 students are: 72, 85, 90, 68, 85. What is the median?
Question 7 — Percentages
A jacket originally costs $80. It is on sale for 25% off. What is the sale price?
Question 8 — Volume
A rectangular prism has length 8 cm, width 5 cm and height 3 cm. What is its volume?
Question 9 — Multi-step Problem
A school trip costs $15 per student. There are 120 students going, but 8 students have a concession card and pay half price. What is the total cost for all students?
Question 10 — Interpretation
The graph shows the temperature in a city over one day:
6am: 12°C, 9am: 18°C, 12pm: 26°C, 3pm: 32°C, 6pm: 22°C, 9pm: 16°C
What is the range of temperatures recorded?
Key Concepts Summary
- ●Integers: When adding positive + negative, find the difference and keep the sign of the larger absolute value.
- ●Ratios: Find the value of one part first, then multiply for each quantity.
- ●Algebra: Solve equations by doing the same thing to both sides — undo operations in reverse order.
- ●Angles in a triangle: Always add to 180°.
- ●Volume: Length x width x height (cubic units). Area = square units.
- ●Statistics: Mean = total ÷ count. Median = middle value. Mode = most common. Range = highest - lowest.