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Year 7 Mathematics sample

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Question 1 of 5 Number and arithmetic

Four teams report success rates of 3/5, 59%, 7/12 and 0.58. Which success rate is greatest?

Question 2 of 5 Algebra and patterns

The display score is calculated using S = 4r + 3b. Which card shows paired changes that leave S unchanged?

Four paired changes to one score formulaS = 4r + 3bAr: +3b: -3apply both changesBr: +3b: -4apply both changesCr: +4b: -3apply both changesDr: -3b: -4apply both changesA +1 change in r changes S by +4; a +1 change in b changes S by +3.
Question 3 of 5 Chance and data

Which statement about data sets R and S is true?

Two nine-value data setsSet R345678910Set S345678910Every dot represents one recorded value.
Question 4 of 5 Measures and units

Find the average speed of the final moving section from the lookout to the shelter. Give the answer in kilometres per hour.

Distance and time at three checkpointsTrailhead0 kmstart 0 minLookout6 kmarrive 20 minleave 35 min15 min restShelter15 kmarrive 65 minThe distance labels are measured from the trailhead.
Question 5 of 5 Measures and units

What is the actual area of the triangular reserve shown on the plan?

Triangular reserve on a scale plan4 cm on plan3 cmperpendicular height1 cm = 25 mNot to scale; use the labelled lengths with the printed scale.
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