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Year 11 Mathematics sample

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Question 1 of 5 Number and arithmetic

During a morning maths warm-up, simplify \(\frac{7^{3} \times 7^{6}}{7^2}\).

Question 2 of 5 Number and arithmetic

In a class problem, a sensor records \(42 \times 10^{-7}\) seconds. Which standard scientific notation form is equivalent?

Measured interval
MeasurementValue
Pulse interval42 x 10^-7 s
Required forma x 10^n with 1 <= a < 10
Question 3 of 5 Algebra and patterns

During a small-group check, which factorisation is equivalent to \(x^2+14x+45\)?

Question 4 of 5 Algebra and patterns

For a student workbook question, the graph shows a straight line through two labelled points. Which equation matches the line?

Straight-line graph-5-3-1135-40.65.29.814.419xy(-3, 2)(0, 17)
Question 5 of 5 Algebra and patterns

In a teacher-led revision task, use the two constraints. Which ordered pair \((x,y)\) satisfies both equations?

Two linked constraints
EquationConstraint
A2x + 3y = 13
B2x + 5y = 19
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