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Creating new tests
- Homework week 4 for Mods 1 and 5 - JMC tests for primary 4 weeks
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‎pages/academy-1-week-4.md‎

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# Parallel Academy Module 1 Week 3 Assignment
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These problems relate to a recent theme you have been covering with your tutor. They are arranged in order of increasing difficulty and the final problem is much more of a challenge than the rest.
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The problems are designed to help you reflect on material from previous tutorial sessions (which you can access on your Academy page).
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The number of marks each question or part is worth is shown. Some have an optional hint, which cost 1 mark, so only reveal the hint if you’ve given the problem some real thought.
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Take your time, ensuring that you haven't overlooked something or made a silly error, before submitting your answers. Please remember that completing homework is certainly not a race!
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You should only leave an answer blank if you have really thought about the problem and are still stuck (particularly with the final problem).
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We will also be running a weekly homework review session (look out for our emails).
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**Before you click Submit at the end of the assignment, check that all of your answers have been entered correctly.**
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**After you click Submit, make sure you scroll down to see the correct answers and read the full written solutions.**
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## 1.
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![](/resources/academy-1-week-4/q1.png){image align="center"}
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::: problem id=1_1 marks=1
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a) <input type="number" solution="12"/>
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---
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![](/resources/academy-1-week-4/s1a.png){image align="center"}
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:::
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::: problem id=1_2 marks=1
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b) <input type="number" solution="11"/>
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---
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![](/resources/academy-1-week-4/s1b.png){image align="center"}
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:::
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::: problem id=1_3 marks=1
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c) <input type="number" solution="10"/>
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---
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![](/resources/academy-1-week-4/s1c.png){image align="center"}
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:::
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::: problem id=1_4 marks=1
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d) <input type="number" solution="5"/>
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---
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![](/resources/academy-1-week-4/s1d.png){image align="center"}
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:::
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## 2.
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![](/resources/academy-1-week-4/q2.png){image align="center"}
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::: problem id=2_1 marks=1
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a) <input type="number" solution="8"/>
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---
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![](/resources/academy-1-week-4/s2a.png){image align="center"}
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:::
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::: problem id=2_2 marks=1
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b) <input type="number" solution="25"/>
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---
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![](/resources/academy-1-week-4/s2b.png){image align="center"}
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:::
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::: problem id=2_3 marks=1
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c) <input type="number" solution="15"/>
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---
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![](/resources/academy-1-week-4/s2c.png){image align="center"}
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:::
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## 3.
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![](/resources/academy-1-week-4/q3.png){image align="center"}
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::: problem id=3_1 marks=2
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<input type="number" solution="16"/>
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^^^ hint id=3_1_1 marks=1
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![](/resources/academy-1-week-4/h3a.png){image align="center"}
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^^^
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---
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![](/resources/academy-1-week-4/s3a.png){image align="center"}
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:::
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::: problem id=3_2 marks=2
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<input type="number" solution="6"/>
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^^^ hint id=3_2_1 marks=1
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![](/resources/academy-1-week-4/h3b.png){image align="center"}
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^^^
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---
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![](/resources/academy-1-week-4/s3b.png){image align="center"}
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:::
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::: problem id=3_3 marks=2
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<input type="number" solution="8"/>
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^^^ hint id=3_3_1 marks=1
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![](/resources/academy-1-week-4/h3c.png){image align="center"}
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^^^
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---
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![](/resources/academy-1-week-4/s3c.png){image align="center"}
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:::
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## 4.
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![](/resources/academy-4-week-2/4-skull.png){image align="right"}
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![](/resources/academy-1-week-4/q4.png){image align="center"}
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::: problem id=4_1 marks=2
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<input type="number" solution="15"/>
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^^^ hint id=4_1_1 marks=1
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![](/resources/academy-1-week-4/h4.png){image align="center"}
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^^^
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---
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![](/resources/academy-1-week-4/s4.png){image align="center"}
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:::
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**Before you click Submit at the end of the assignment, check that all of your answers have been entered correctly.**
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**After you click Submit, make sure you scroll down to see the correct answers and read the full written solutions.**

‎pages/academy-5-week-4.md‎

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# Parallel Academy Module 5 Week 3 Assignment
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These problems relate to a recent theme you have been covering with your tutor. They are arranged in order of increasing difficulty and the final problem is much more of a challenge than the rest.
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The problems are designed to help you reflect on material from previous tutorial sessions (which you can access on your Academy page).
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The number of marks each question or part is worth is shown. Some have an optional hint, which cost 1 mark, so only reveal the hint if you’ve given the problem some real thought.
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Take your time, ensuring that you haven't overlooked something or made a silly error, before submitting your answers. Please remember that completing homework is certainly not a race!
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You should only leave an answer blank if you have really thought about the problem and are still stuck (particularly with the final problem).
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We will also be running a weekly homework review session (look out for our emails).
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**Before you click Submit at the end of the assignment, check that all of your answers have been entered correctly.**
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**After you click Submit, make sure you scroll down to see the correct answers and read the full written solutions.**
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## 1.
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![](/resources/academy-5-week-4/q1.png){image align="center"}
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::: problem id=1_1 marks=1
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a) <input type="number" solution="16"/>
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---
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![](/resources/academy-5-week-4/s1a.png){image align="center"}
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:::
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::: problem id=1_2 marks=1
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b) <input type="number" solution="66"/>
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---
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![](/resources/academy-5-week-4/s1b.png){image align="center"}
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:::
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## 2.
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![](/resources/academy-5-week-4/q2.png){image align="center"}
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::: problem id=2_1 marks=2
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<input type="number" solution="33"/>
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---
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![](/resources/academy-5-week-4/s2.png){image align="center"}
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:::
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## 3.
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![](/resources/academy-5-week-4/q3.png){image align="center"}
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::: problem id=3_1 marks=2
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<input type="number" solution="7"/>
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^^^ hint id=3_1_1 marks=1
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![](/resources/academy-5-week-4/h3.png){image align="center"}
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^^^
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---
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![](/resources/academy-5-week-4/s3.png){image align="center"}
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:::
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## 4.
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![](/resources/academy-5-week-4/q4.png){image align="center"}
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::: problem id=4_1 marks=2
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<input type="number" solution="145"/>
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^^^ hint id=4_1_1 marks=1
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![](/resources/academy-5-week-4/h4.png){image align="center"}
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^^^
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---
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![](/resources/academy-5-week-4/s4.png){image align="center"}
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:::
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## 5.
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![](/resources/academy-4-week-2/4-skull.png){image align="right"}
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![](/resources/academy-5-week-4/q5.png){image align="center"}
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::: problem id=5_1 marks=2
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<input type="number" solution="120"/>
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^^^ hint id=5_1_1 marks=1
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![](/resources/academy-5-week-4/h5.png){image align="center"}
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^^^
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---
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![](/resources/academy-5-week-4/s5.png){image align="center"}
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:::
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**Before you click Submit at the end of the assignment, check that all of your answers have been entered correctly.**
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**After you click Submit, make sure you scroll down to see the correct answers and read the full written solutions.**

‎pages/primary-jmc-1.md‎

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## 1.
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::: problem id=1_1 marks=1
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What is the value of 6002 - 2006?
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I buy 10 plastic dinosaurs at 99p each and give the shopkeeper a £10 note.
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* [ ] 3994
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* [x] 3996
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* [ ] 4000
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* [ ] 4004
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* [ ] 4006
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How much change should I receive?
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* [ ] 1p
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* [x] 10p
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* [ ] £1
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* [ ] £10
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* [ ] £100
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{.col-5}
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:::
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## 2.
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Among the children in a certain family, each child has at least one brother and at least one sister.
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![](/resources/primary-jmc-1/2-pie-chart.png){image align="right"}
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The pie chart on the right shows the numbers of pupils who answered the question “Is there life in Outer Space?" with a “yes” or “no”.
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There were 21 pupils who answered “yes”.
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What is the _smallest_ possible number of children in the family?
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How many pupils answered “no”?
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* [ ] 2
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* [ ] 3
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* [x] 4
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* [ ] 4
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* [ ] 5
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* [ ] 6
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* [ ] 7
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* [x] 8
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{.col-5}
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## 3.
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::: problem id=3_1 marks=1
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The word 'thirty' contains 6 letters and 6 = 30 ÷ 5.
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Jonathan the tortoise eats 20 g of salad leaves a day.
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Similarly, the word 'forty' contains five letters and 5 = 40 ÷ 8.
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The leaves are sold in 80 g bags which cost 90p.
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Which of the following is not a multiple of the numbers of letters it contains?
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How much would it cost to feed Jonathan for 4 weeks?
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* [ ] Six
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* [ ] Twelve
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* [x] Eighteen
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* [ ] Seventy
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* [ ] Ninety
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* [ ] £4.20
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* [ ] £4.80
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* [ ] £5.30
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* [ ] £5.70
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* [x] £6.30
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{.col-5}
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:::
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## 4.
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::: problem id=4_1 marks=1
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In music, a demisemiquaver is half of half of half a crotchet, and there are four crotchets in a semibreve.
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Pat and Sam like to sit at either end of their sofa, with their three children sitting between them.
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How many demisemiquavers are there in a semibreve?
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In how many ways can they do this?
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* [ ] 8
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* [ ] 16
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* [x] 32
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* [ ] 64
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* [ ] 128
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* [ ] 6
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* [x] 12
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* [ ] 24
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* [ ] 25
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* [ ] 130
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{.col-5}
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## 5.
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::: problem id=5_1 marks=1
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![](/resources/primary-jmc-1/5-folded-paper.png){image align="right"}
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Beatrix takes a sheet of paper, shown here labelled A.
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I add together three consecutive whole numbers.
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She then folds the sheet in half 4 times, and punches a hole all the way through the folded sheet, as shown here labelled B.
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Their sum is always...
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She then unfolds the sheet.
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How many holes are there now in the unfolded sheet?
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* [ ] 4
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* [ ] 6
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* [ ] 8
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* [ ] 12
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* [x] 16
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* [ ] a multiple of 5.
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* [ ] odd.
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* [ ] prime.
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* [ ] even.
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* [x] a multiple of 3.
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:::

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