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Whole week10/210/4StretchAnswers

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.

time yourself (optional)
Stretch (not recorded)From Sun 4 October, any time1 / 4

Stretch — "per one" from tables and graphs

Not recorded. Getting it wrong is fine. Some numbers in the sources are not needed

Name Date

1 · A night of heavy rain [science: weather]

Source 1

On an evening when a typhoon was coming close, a (made-up) town measured the rain in each hour. The lowest air pressure that day was 972 hPa. On this sheet, 30 mm or more of rain in one hour is called "very heavy rain".

0 10 20 30 40 50 (mm) 12.5 3–4 pm 18 4–5 pm 31.5 5–6 pm 42 6–7 pm 24.5 7–8 pm 9.5 8–9 pm
Source 2 — how deep the rain collected in a rain gauge in each hour. The numbers are made up.
1In which hour did the most rain fall, and how many mm was it?
2If the six hours of rain were "evened out" so that every hour had the same amount, how many mm would that be per hour?

Evening out = add everything, then divide by the number of hours. The same idea as Sunday's "points per game".

3Someone says: "Evened out, it is less than 30 mm an hour, so there was not a single hour of very heavy rain." Is that right? Explain with numbers from the graph.
time yourself (optional)
Stretch (not recorded)From Sun 4 October, any time2 / 4

Stretch — "per one" from tables and graphs

Name Date

2 · Water on a river bend [science: running water]

Source 1

The day after the heavy rain, leaves were floated on the outside and the inside of a river bend, and the distance and time were measured (made up). The water was 18 °C.

wheredistancetime taken
outside of the bend12.6 m4.2 s
inside of the bend7.2 m4.8 s
Source 2 — how far the leaves went (made up)
4How many metres per second did the water move on the outside, and on the inside?

Draw a double number line first, then write the calculation. Dividing by a decimal is still "per one".

5How many times as fast is the outside as the inside?
6After heavy rain, which bank is more easily worn away, the outside or the inside? Give a reason using your numbers from questions 4 and 5.
time yourself (optional)
Stretch (not recorded)From Sun 4 October, any time3 / 4

Stretch — "per one" from tables and graphs

Name Date

3 · What seeds need to sprout [science: germination]

Source 1

Bean seeds were sown in four bags, and the sprouts were counted 7 days later (a made-up experiment).

bagwheretemperaturewaterseeds sownsprouted
Abright windowabout 25 °Cyes4034
Binside a dark boxabout 25 °Cyes2522
Cin the fridgeabout 5 °Cyes303
Dbright windowabout 25 °Cno200
Source 2 — results of a made-up experiment
7Which bag had the most sprouts?
8For A and B, work out "sprouted ÷ sown" as a decimal, and say which is larger.

The same calculation as a batting average (hits ÷ at-bats). You may also write fractions, simplify, and compare over a common denominator.

9"More seeds sprouted in A, so seeds need light to sprout." Is that right? Explain with numbers from the table.
time yourself (optional)
Stretch (not recorded)From Sun 4 October, any time4 / 4

Stretch — "per one" from tables and graphs

Name Date

4 · Two fishing boats [social studies: fishing]

Source 1

One day's log for two fishing boats from a (made-up) harbour.

boathours fishingfuel usedfish caughtcrew
A4.5 h31.5 L378 kg3
B3.5 h17.5 L280 kg3
Source 2 — one day's log (made up)
10How many kg of fish did each boat catch per litre of fuel?

When you divide by a decimal, multiplying both numbers by 10 gives the same answer.

11How many kg of fish did each boat catch per hour?
12"Boat B fished better." Can you say that? Use your answers to questions 10 and 11 to give your view.

kids/learn — weekly worksheet. The answers have a page of their own.