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Year 9 Mathematics sample

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Question 1 of 5 Number and arithmetic

In an equal-groups question from a red-team maths-club challenge, use the table. Which calculation gives the total number of items?

Equal groups with leftovers

Full groups	Items in each group	Left over
6	9	8

A \(6\times 9 + 8=62\) B \(6+9+8=23\) C \(6\times 17=102\) D \(6\times 9-8=46\)

Question 2 of 5 Number and arithmetic

For a fraction-of-a-number task with south-side counters, use the table. What is \(\frac{3}{5}\) of 40?

Fraction of a quantity

Whole amount	Fraction selected
40	\(\frac{3}{5}\)

A 8 B 16 C 48 D 24

Question 3 of 5 Algebra and patterns

In a missing-number equation from a red-team equation tile, use the equation shown. What value of \(x\) makes it true?

Equation balance

Expression	Value
\(6x+7\)	55

A \(x=8\) B \(x=48\) C \(x=9\) D \(x=7\)

Question 4 of 5 Algebra and patterns

For a growing-pattern check for a south-side path-marker pattern, use the pattern table. What value belongs in position 15?

Pattern positions

Position	1	2	3	4	15
Value	8	14	20	26	?

A 98 B 29 C 86 D 92

Question 5 of 5 Measures and units

For a measuring-reasoning task from a red-team puzzle-corner sheet, use the diagram. What is the area of the garden bed?

A 40 m^2 B 20 m^2 C 33 m^2 D 91 m^2

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