Free sample

Year 7 Mathematics sample

Try 5 questions without logging in. The full paper is timed, saved, marked and reported after access is confirmed.

Paper E-3 Practice 3 Sample 5 questions Login Not required

Answer the sample questions

Check your answers when all 5 are complete. Feedback is local to this page and does not create a report.

Question 1 of 5 Number and arithmetic

For a multiplication-reasoning task from a senior workbook page, use the table. Which calculation gives the total number of items?

Equal groups with leftovers

Full groups	Items in each group	Left over
4	9	6

A \(4\times 9 + 6=42\) B \(4+9+6=19\) C \(4\times 15=60\) D \(4\times 9-6=30\)

Question 2 of 5 Number and arithmetic

In a fraction-of-an-amount question with gold-team display cards, use the table. What is \(\frac{4}{5}\) of 40?

Fraction of a quantity

Whole amount	Fraction selected
40	\(\frac{4}{5}\)

A 8 B 49 C 32 D 36

Question 3 of 5 Algebra and patterns

For a true-statement problem from a senior number-machine card, use the equation shown. What value of \(x\) makes it true?

Equation balance

Expression	Value
\(6x+7\)	43

A \(x=36\) B \(x=6\) C \(x=7\) D \(x=5\)

Question 4 of 5 Algebra and patterns

In a pattern-position question for a gold-team tile-row pattern, use the pattern table. What value belongs in position 15?

Pattern positions

Position	1	2	3	4	15
Value	6	10	14	18	?

A 62 B 66 C 25 D 58

Question 5 of 5 Measures and units

In a rectangle-measure problem from a senior fast-finisher card, use the diagram. What is the area of the garden bed?

A 36 m^2 B 18 m^2 C 29 m^2 D 77 m^2

Open full paper