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Year 8 Mathematics sample

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Question 1 of 5 Number and arithmetic

In a groups-and-totals problem from a morning group-rotation task, use the table. Which calculation gives the total number of items?

Equal groups with leftovers
Full groupsItems in each groupLeft over
597
Question 2 of 5 Number and arithmetic

For a fraction-calculation check with north-side garden labels, use the table. What is \(\frac{2}{5}\) of 40?

Fraction of a quantity
Whole amountFraction selected
40\(\frac{2}{5}\)
Question 3 of 5 Algebra and patterns

In an algebra-reasoning question from a morning maths-club board, use the equation shown. What value of \(x\) makes it true?

Equation balance
ExpressionValue
\(6x+7\)49
Question 4 of 5 Algebra and patterns

Using the pattern table for a north-side growing-shape pattern, what value belongs in position 15?

Pattern positions
Position123415
Value7121722?
Question 5 of 5 Measures and units

For a length-and-width check from a morning warm-up board, use the diagram. What is the area of the garden bed?

Measured rectanglegarden bed12 m7 mArea covers the surface inside the rectangle.
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