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Year 11 Mathematics sample

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Question 1 of 5 Algebra and patterns

In a school art supply order, an arithmetic sequence starts at 6 with common difference 3. What is the sum of the first 8 terms?

Arithmetic sequence
First termCommon differenceNumber of terms
638
Question 2 of 5 Algebra and patterns

At a theatre seating rehearsal, a geometric sequence starts at 4 and multiplies by 3 each time. What is term 5?

Geometric sequence
First termCommon ratioTerm wanted
43term 5
Question 3 of 5 Number and arithmetic

For a robotics-parts order, a colony of 6 cells triples every hour. How many cells are there after 2 hours?

Growth by a constant factor
Starting countGrowth each hourHours
6triples (x3)2
Question 4 of 5 Space and geometry

At a weekend netball draw, two similar shapes have matching sides in the ratio 3:5. The smaller shape has area 18 cm². What is the larger area?

Similar shapes
Side ratio (small:large)Small shape area
3:518 cm^2
Question 5 of 5 Space and geometry

For a swimming carnival roster, what is the straight-line distance between \((3,3)\) and \((6,7)\)?

Distance between two points02.44.87.29.61202.44.87.29.612xy(3, 3)(6, 7)
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