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Whole week10/610/710/910/11StretchAnswers

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.

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Stretch (not recorded)From Sun 11 October, any time1 / 4

Stretch — "per one" in a paddy, water, a magnet and a factory

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

Name Date

1 · Two paddy fields [social studies: rice farming]

Source 1

A (made-up) farm has two paddy fields planted with the same kind of rice. Four family members planted them. In autumn the weight of rice harvested and the weight of fertiliser spread on each field were recorded. Area is measured in a (ares).

fieldareafertiliserrice harvested
A8.5 a25.5 kg459 kg
B6.4 a25.6 kg371.2 kg
Source 2 — this year's records (made up)
1Which field gave more rice this year (how many kg)? And how many kg of rice per 1 a did A and B each give?

Always draw. Put a number line for the area above a number line for the rice.

2Next year field B will be made 1.5 times as large. If the rice per 1 a stays the same as this year, how many kg of rice will it give?
3"B used more fertiliser, so B gave more rice. So if you double the fertiliser, you double the rice." Is that right? Use the "per 1 a" numbers to give your view.
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Stretch (not recorded)From Sun 11 October, any time2 / 4

Stretch — "per one" in a paddy, water, a magnet and a factory

Name Date

2 · How much dissolves [science: dissolving]

Source 1

How many grams of salt and of alum dissolve in 100 mL of water was tested at different water temperatures (made up). A 300 mL beaker was used, and each mixture was stirred for 2 minutes.

0 10 20 30 40 (g) 20 °C 40 °C 60 °C 35.8 36.4 37.1 6.2 11.8 24.8 salt alum
Source 2 — how much dissolves in 100 mL of water (made-up numbers).
4How many grams of alum dissolve in 100 mL of water at 60 °C? How many times as much is that as at 20 °C?
5How many grams of alum dissolve in 350 mL of water at 60 °C?
6"Salt water is like alum water: cool it from 60 °C to 20 °C and what can no longer stay dissolved comes out. So cooling salt water gets you lots of salt." Is that right? For 100 mL of water, compare the amount that comes out for salt and for alum, and give your view.
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Stretch (not recorded)From Sun 11 October, any time3 / 4

Stretch — "per one" in a paddy, water, a magnet and a factory

Name Date

3 · How strong a magnet [science: electromagnets]

Source 1

Electromagnets were made by winding enamelled wire 50, 100 and 200 times around a 6 cm iron nail and connecting each to one battery. The number of paper clips that stuck was counted in 4 trials each (made up).

turnstrial 1trial 2trial 3trial 4
506776
10013121413
20024262525
Source 2 — paper clips that stuck
7In which coil, in which trial, did the most clips stick? How many?
8Work out the mean of the 4 trials for the 50-, 100- and 200-turn coils.
9On average, how many clips stick per 1 turn? Answer for each of the three coils.
10"0.125 clips per turn, so a 400-turn coil will hold exactly 50. You do not need an experiment — the calculation tells you." Is that right? Use your numbers from questions 8 and 9 to give your view.
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Stretch (not recorded)From Sun 11 October, any time4 / 4

Stretch — "per one" in a paddy, water, a magnet and a factory

Name Date

4 · A bicycle factory's week [social studies: manufacturing]

Source 1

A (made-up) factory, with 36 workers, makes bicycles. In one week the machines ran for 8 hours each on Monday, Tuesday and Wednesday, 4.4 hours on Thursday and 7.5 hours on Friday.

0 30 60 90 120 150 (bikes) 120 Mon 132 Tue 126 Wed 66 Thu 135 Fri
Source 2 — bicycles made each day (made-up numbers).
11Which day had the fewest bicycles, and how many?
12What was the mean number of bicycles per day that week?
13Work out the bicycles per hour of machine time for Monday and for Thursday.

Thursday is 66 ÷ 4.4. Multiply both numbers by 10: 660 ÷ 44.

14"Only 66 were made on Thursday. Work went more slowly on Thursday than on the other days." Is that right? Use your numbers from question 13 to give your view.

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