Year 6Term 1 2027
Mathematical Reasoning for the Selective High School Placement Test (May of Year 6): skill lessons in test form and three full 35-question, 40-minute papers.
12 interactive lessons · 21 exercise sets · free to read, no account needed
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1Multi-Step Number Problems
Smallest four-digit times largest two-digit; rounding twice and finding the difference.
2Working Backwards and Symbol Equations
Money chains in reverse; two symbol equations that unlock each other.
3Fractions, Decimals and Percentages under Time
Mixed numbers, what is left, probabilities that sum to 1.
4Patterns, Sequences and Magic Squares
Each term from the previous three; one complete row gives the total.
5Reading Scales, Axes and Graphs
Pointers between marks, axes in twos and fifties, and what to subtract first.
6Perimeter and Area, Forwards and in Reverse
Rectilinear shapes with missing sides; nested squares; a rectangle attached.
7Time, Timetables and Time Zones
24-hour conversions, across midnight, across days, across the world.
8Spatial: Nets, Cube Stacks and Symmetry
Which nets complete; painted faces; line and rotational symmetry in degrees.
9Angles and Shape Properties
Protractor constructions with a line of symmetry; faces, edges and vertices.
10Which Statements Are Correct
The format itself: three claims against a graph, a table, a spinner or a number line.
11Probability Reasoning
Given the first spin, which claims about the second are right.
12Test Technique: Seventy Seconds a Question
Five options, no calculator, no penalty: pacing, elimination, working from the options.
13Mathematical Reasoning Sample Test 1
Full-length 35-question, 40-minute paper in the official five-option format.
14Mathematical Reasoning Sample Test 2
Full-length 35-question paper, different item shapes.
15Mathematical Reasoning Sample Test 3
Full-length 35-question paper, strand order shuffled.
16Mathematical Reasoning Sample Test 4
Full-length 35-question, 40-minute paper in the official five-option format.
17Mathematical Reasoning Sample Test 5
Full-length 35-question paper, different item shapes.
18Mathematical Reasoning Sample Test 6
Full-length 35-question paper, strand order shuffled.
19Scholarship Paper 1 (ACER form)
Thirty-five four-option reasoning items in the ACER scholarship shape — easy arithmetic, hard thinking. 40 minutes.
20Scholarship Paper 2 (ACER form)
Thirty-five four-option reasoning items, different puzzle shapes.
21Scholarship Paper 3 (ACER form)
Thirty-five four-option reasoning items, topic order shuffled.