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Year 10 Mathematics sample

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Question 1 of 5 Space and geometry

A circular rotunda has two posts on its edge and a pillar at the centre. Standing at a third point on the edge, the two posts appear 27 degrees apart. What is the REFLEX angle between the two posts measured at the centre pillar?

Rotunda sightlines
Seen from the edgePosts stand on
27 degreesthe same arc
Question 2 of 5 Algebra and patterns

At a canteen, 3 pies and 2 drinks cost $27, while 5 pies and 3 drinks cost $44. What does one pie cost?

Two canteen orders
PiesDrinksBill
32$27
53$44
Question 3 of 5 Algebra and patterns

A courier firm pays $1,300 a month in fixed costs plus $240 for each van on the road. Its monthly budget is $3,705. What is the greatest number of vans it can run?

Monthly costs
Fixed costsEach vanBudget
$1,300$240$3,705
Question 4 of 5 Chance and data

A nursery records daily shade hours against weekly growth for five plots. Describe the association and predict the growth for a plot in 12 hours of shade.

Shade against growth
Daily shadeWeekly growth
2 h34 mm
4 h30 mm
6 h26 mm
8 h22 mm
10 h18 mm
Question 5 of 5 Number and arithmetic

A town of 4,000 people is growing at about 7% a year. Using the rule that a doubling takes roughly 70 divided by the yearly percentage, about how long until the town has doubled?

Town growth
Population nowGrowth each year
4,0007%
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