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Year 5 Mathematics sample

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Question 1 of 5 Space and geometry

In a grid-reasoning problem from a west-side puzzle-corner sheet, use the graph. How far does the point move right and up?

A 4 right and 3 up B 5 right and 8 up C 3 right and 4 up D 7 right and 12 up

Question 2 of 5 Chance and data

For a group-counts task from a blue-team homework set, use the survey table. How many students were surveyed altogether?

Survey categories

Category	Count
Only chess	10
Only coding	9
Both	7
Neither	4

A 30 B 26 C 19 D 37

Question 3 of 5 Measures and units

For a map-scale check from a west-side group-rotation task, use the scale drawing information. What real length is represented?

Scale drawing

Scale rule	Measured length
1 cm represents 3 m	8 cm

A 11 m B 2.7 m C 24 m D 240 m

Question 4 of 5 Algebra and patterns

In a square-numbers question from a blue-team workbook page, a square has side length 6. How many unit squares are inside it?

Square-number model

Expression	Meaning
\(6^2\times 6^1\)	area with equal side lengths

A 12 B 24 C 42 D 36

Question 5 of 5 Space and geometry

For a triangle-reasoning task from a west-side maths-group task, use the diagram. Which statement about the sloping side is correct?

A It is exactly 12 cm. B It is shorter than both labelled sides. C It must be 19 cm. D It is longer than 12 cm.

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