Printing: use your browser's print (Ctrl+P / ⌘P). It comes out as exactly 4 A4 sheets (2 pieces of paper double-sided). No answers in here.

20 minutes, then stop

Stretch (not recorded)From Sun 27 September, any time1 / 4

Stretch — four stages

Not recorded. Getting it wrong is fine. One sheet, one stage

Name Date

The level-up sheet

One level up. Every stage hides a number you do not need. Circle it.

Stage 1 · Social studies — where does the water come from?

Source 1 · a city (made-up numbers)	Number
Water the plant sent out in a week (7 days)	560 million L
Water stored in the dam	3 billion L
Primary schools in the city	18

Question 1 is already done for you

The plant in the next town sent out 49 million L in a week (7 days). How much per day?
49 million is 49 blocks of one million.　49 ÷ 7 = 7 → 7 blocks of one million → 7 million L

2How much water did this city's plant send out per day?

How many blocks of ten million make 560 million?

3With no rain, using the same as question 2 every day, about how many days will the dam last? Choose one.
A　about 4 days　　　B　about 40 days　　　C　about 400 days

Ask the same about 3 billion: how many blocks of ten million?

20 minutes, then stop

Stretch (not recorded)From Sun 27 September, any time2 / 4

Stretch — four stages

Name Date

Stage 2 · Science — where the rain goes

Source 2

A school playground's rainwater runs into 9 drains, the same amount into each. It was 18 °C that day.

Source 3 · Rain on the playground, hour by hour (made-up numbers)

4In which hour did the most rain fall? How many litres?

5In that hour, how many litres ran into one drain?

6One drain takes at most 6,000 L an hour; any more and a puddle forms. In which hours did a puddle form? Choose all.
hour　1　　2　　3　　4　　5　　6

You could compare with 9 × 6,000.

20 minutes, then stop

Stretch (not recorded)From Sun 27 September, any time3 / 4

Stretch — four stages

Name Date

Stage 3 · Social studies — where the rubbish goes

Source 4

At a city's incinerator, burnt rubbish becomes ash weighing ¹⁄₁₀ as much, which goes to a landfill.

Source 5 · this city's rubbish (made-up numbers)	Number
Rubbish burned in a year	600 million kg
Ash the landfill can still take	420 million kg
Rubbish trucks	36

7How many kg of ash are made in a year?

8One year, 70 million kg of ash were made. How much rubbish was burned that year?
¹⁄₁₀ of □ = 70 million kg

Undoing a tenth is ten times.

9If the same ash as in question 7 is made every year, in how many years will the landfill be full?

Count both 420 million and 60 million in blocks of ten million.

20 minutes, then stop

Stretch (not recorded)From Sun 27 September, any time4 / 4

Stretch — four stages

Name Date

Stage 4 · Social studies — shelters ready for an earthquake

Source 6 · shelters in a town	Holds	From the sea
East Primary School	480	2 km
West Junior High	630	5 km
Community hall	95	1 km

A made-up town. It plans 3 L of water per person per day at its shelters.

10The 630 people at West Junior High go into 7 classrooms, the same number in each. How many in one classroom?

11Each room in the hall holds up to 8 people. How many rooms are needed for all 95?

The people left over need a room too.

12East Primary has 4,320 L of water. If 480 people shelter there, how many days of water is that? Choose, and write one sentence on why.
A　2 days　　　B　3 days　　　C　9 days

Hint: first one day's water (480 × 3). Then keep adding it — day 1, day 2 …