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Year 10 Mathematics sample

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Question 1 of 5 Number and arithmetic

A fruit packing shed stacks its stock to a strict pattern. One pallet holds \(2^{4}\) boxes, one row holds \(2^{3}\) pallets, and the shed holds \(2^{3}\) rows. On Friday the whole shed is loaded into \(2^{2}\) trucks, and every truck takes the same number of boxes. How many boxes does one truck carry?

How the packing shed is stacked

What is counted	How many
Boxes on one pallet	\(2^{4}\)
Pallets in one row	\(2^{3}\)
Rows in the shed	\(2^{3}\)
Trucks loaded on Friday	\(2^{2}\)

A 256 B 1024 C 4096 D 8

Question 2 of 5 Number and arithmetic

A square courtyard covers 98 square metres. A copper strip is set into the paving along two sides that meet at one corner. Written exactly, with no rounding, how long is the strip?

A \(14\sqrt{2}\) m B \(7\sqrt{2}\) m C \(28\sqrt{2}\) m D \(14\) m

Question 3 of 5 Chance and data

Every student in one year group was asked where they live and whether they ride a bike to school. Of the students who do ride, what fraction live within 3 km of the school? Give the fraction in its simplest form.

Survey of one year group

Where they live	Students in the group	Number who do not ride
Within 3 km of school	67	27
Further than 3 km away	58	42

A 40/67 B 5/7 C 2/7 D 56/125

Question 4 of 5 Chance and data

A school gardener writes down how much water the garden tap uses, week by week, for eight weeks. What is the interquartile range of the eight readings?

Water used at the garden tap

Week	Litres used
Week 1	34
Week 2	59
Week 3	45
Week 4	30
Week 5	49
Week 6	41
Week 7	37
Week 8	54

A 29 B 8.5 C 7.5 D 16

Question 5 of 5 Algebra and patterns

Two shoppers paid at the same fruit stall on the same morning. One took 3 trays of mangoes and 2 bags of oranges and paid $44. The other took 2 trays of mangoes and 5 bags of oranges and paid $44. What would 4 trays of mangoes and 3 bags of oranges cost at that stall?

What each shopper paid

Shopper	Mango trays	Orange bags	Bill
First shopper	3	2	$44
Second shopper	2	5	$44

A $60 B $52 C $88 D $112

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