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# Interactive Voting - 1995 mathematics paper a

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An interactive voting lesson designed for use with Qwizdom Classroom Response Systems

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### Interactive Voting - 1995 mathematics paper a

1. 1. 1995 MATHS PAPER A
2. 2. 1995 Mathematics Paper A Input your name and press send. Next Page
3. 3. 1995 Mathematics Paper A Q1 Next Page This is a number triangle with some numbers missing. The numbers along each edge must add up to 90 . Put all the numbers 20, 30, 50 and 60 in the circles to make the totals correct. 2 Marks
4. 4. 1995 Mathematics Paper A Q2 Next Page Which symbol would go in the circle to make the calculation correct? <ul><li>+ </li></ul><ul><li>- </li></ul><ul><li>X </li></ul><ul><li>÷ </li></ul>
5. 5. 1995 Mathematics Paper A Q3 a Next Page This is a list of the highest temperatures each day for one week. How many degrees warmer was it on the hottest day than on the coldest day? °C
6. 6. 1995 Mathematics Paper A Q3 b Next Page This is a list of the highest temperatures each day for one week. Here is a chart of the temperatures. Saturday is missing. Draw in the bar for Saturday. <ul><li>(b) Bar to 7º C 1 </li></ul><ul><ul><li>Give the mark for any bar which is more than 6º and less than 8º. </li></ul></ul>Answer Key:
7. 7. 1995 Mathematics Paper A Q4a Next Page Here is a row of numbers. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Find three numbers next to each other which add up to 39. What would the first number be?
8. 8. 1995 Mathematics Paper A Q4b Next Page Here is a row of numbers. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Find three numbers next to each other which add up to 39. What would the second number be?
9. 9. 1995 Mathematics Paper A Q4c Next Page Here is a row of numbers. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Find three numbers next to each other which add up to 39. What would the third number be?
10. 10. 1995 Mathematics Paper A Q5 Next Page ? ÷ 5 = 22 What is the missing number?
11. 11. 1995 Mathematics Paper A Q6 Next Page Here are 4 shapes Each shape has two parallel sides . Write TWO other things which are the same about ALL the 4 shapes. Answer key: <ul><li>(a)(b) Award ONE mark for each appropriate mathematical characteristic to a maximum of TWO marks, eg. up to 2 </li></ul><ul><ul><li>· “They all have a right angle.” </li></ul></ul><ul><ul><li>· “Each has straight edges (or sides).” </li></ul></ul><ul><ul><li>· “They are all irregular.” </li></ul></ul><ul><ul><li>· “They are all polygons.” </li></ul></ul><ul><ul><li>· “They all have corners.” </li></ul></ul><ul><ul><li>· “They all have 4 or more sides.” </li></ul></ul><ul><ul><ul><li>If 2 correct reasons are given as one statement, marks for both (a) and (b) should be awarded, eg. </li></ul></ul></ul><ul><ul><ul><li>· They all have at least 4 sides and a right angle. </li></ul></ul></ul>
12. 12. 1995 Mathematics Paper A Q7 Next Page Here are three badges. A You may use a mirror and tracing paper in the actual test. Which badges have reflective symmetry? B Draw ONE line of symmetry on this badge. Show answers - click
13. 13. 1995 Mathematics Paper A Q8 a Next Page This is what it costs to visit a castle. Helen is 10 years 9 months old. How much will it cost Helen to visit? (Answer in pence).
14. 14. 1995 Mathematics Paper A Q8 b (i) Next Page On one day the number of visitors was: Here is a graph to show the number of visitors. Complete the scale for the axis called “Number of Visitors”. What number should go here?
15. 15. 1995 Mathematics Paper A Q8 b (ii) Next Page On one day the number of visitors was: Here is a graph to show the number of visitors. Complete the scale for the axis called “Number of Visitors”. What number should go here?
16. 16. 1995 Mathematics Paper A Q8 b (iii) Next Page On one day the number of visitors was: Here is a graph to show the number of visitors. Complete the scale for the axis called “Number of Visitors”. What number should go here?
17. 17. 1995 Mathematics Paper A Q8 c Next Page This is what it costs to visit a castle. How much will it cost for 18 children (under 11) to visit the castle? (Answer like so: £ 2.50)
18. 18. 1995 Mathematics Paper A Q9 Next Page In your book draw a grid of 12 by 12 squares. On the grid draw a quadrilateral. It must have only one pair of parallel sides. Award ONE mark for a 4-sided shape with one pair of parallel sides. 1 No mark is awarded unless the shape has four sides. No mark is awarded for a shape which has more than one pair of parallel sides. Answer key:
19. 19. 1995 Mathematics Paper A Q10 Next Page This calculation has the same number missing from each box. What is the missing number? Link to XL file
20. 20. 1995 Mathematics Paper A Q11 Next Page Write in the missing number. Link to XL file 5 X 8 456
21. 21. 1995 Mathematics Paper A Q12 Next Page Answer key Look at the shape on the grid. Turn it through one right angle around the point A. Draw its new position. You may use tracing paper. Link to Word file
22. 22. 1995 Mathematics Paper A Q12 Next Page Award TWO marks for either of the shaded positions. up to 2 Award ONE mark for the correct rotation, but incorrect position drawn anywhere on the grid, eg: OR incorrect rotation (orientation wrong) but point A used correctly, eg: One of the marks is awarded for correct rotation, ie 90º of rotation and shape in the correct orientation. The second mark is for the rotation being around the point A. [2]
23. 23. 1995 Mathematics Paper A Q13a Next Page Answer key Sam has 3 different spinners. He chooses ONE of his spinners. He spins it 100 times and writes down how it lands each time. The results of the 100 spins are numbers only from 1 to 3. Which spinner do you think he is using? Give ONE reason why you chose this one. Spinner?
24. 24. 1995 Mathematics Paper A Q13 (a) Both A and B have the numbers 1 to 3. The reason given for choosing A or B should make reference to this, eg: · “Because A has only the numbers 1 to 3 on it.” · “Only the numbers 1, 2 or 3 might turn up on B.” · “Because A has the most 3s, 2s and 1s.” 1 No mark is awarded for choice of spinner. Do not award marks for reasons which are vague or inappropriate, eg: · “Because it’s got the right numbers.” A reason is inappropriate if it refers to non-mathematical criteria or irrelevant mathematical criteria, eg: · “Because it’s his favourite.” Next Page
25. 25. 1995 Mathematics Paper A Q13b Next Page Answer key 1. Sam has 3 different spinners. Sam spins A 100 times and B 100 times. The arrows on the line show how many times each spinner lands on an odd number. He spins C 100 times. Put an arrow on the line to show your estimate of how many times spinner C will land on an odd number . Explain why you put the arrow there.
26. 26. 1995 Mathematics Paper A Q13 Next Page (b) The arrow should be within the shaded range of 25 to 40, inclusive. (c) Explanation which refers to the fact that 1/3 or 2/6 of the numbers on C are odd OR which makes a comparison with the number of odd numbers on A or B, eg: 1 · “There are less odds on C.” · “Because it has only two odd numbers on.” The answer for (c) should be considered independently of the answer for (b). Accept (c) may be correct even if (b) is wrong.
27. 27. <ul><li>1. Here are some picture frame sizes. </li></ul><ul><li>For each frame, the length is twice the height, subtract 4. </li></ul><ul><li>What is the length (in cm) of a frame which has a height of 36cm ? </li></ul>1995 Mathematics Paper A Q14a Two marks for correct answer, 1 for correct working. Next Page
28. 28. <ul><li>1. Here are some picture frame sizes. </li></ul><ul><li>For each frame, the length is twice the height, subtract 4. </li></ul>1995 Mathematics Paper A Q14b Next Page Answer Key For each frame, the length (L) is twice the height (H) , subtract 4. Write this in symbols.
29. 29. <ul><li>(b) Award TWO marks for expressions such as: </li></ul><ul><li>L = 2H – 4 </li></ul><ul><li>L = 2(H – 2) </li></ul><ul><li>L = H + H – 4. </li></ul><ul><li>If incorrect award ONE mark for evidence of multiplication of H by 2, eg: 2H H2 H × 2 2 × H 2.H H.2 or ONE mark for evidence of subtraction of 4, eg: L = H – 4 </li></ul><ul><ul><ul><ul><li>Do not accept L = × 2 – 4 = H </li></ul></ul></ul></ul><ul><ul><ul><ul><li>Do not award marks for a repeat of the formula in words as given in the question. </li></ul></ul></ul></ul>1995 Mathematics Paper A Q14 Next Page
30. 30. <ul><li>1. Here are some picture frame sizes. </li></ul><ul><li>For each frame, the length is twice the height, subtract 4. </li></ul>1995 Mathematics Paper A Q14c Two marks for correct answer, 1 for correct working. Next Page Answer key A new frame has its length twice its height. It is made with 126cm of wood. What is the length (in cm) of this frame?
31. 31. <ul><li>1. Here are some picture frame sizes. </li></ul><ul><li>For each frame, the length is twice the height, subtract 4. </li></ul>1995 Mathematics Paper A Q14 Next Page A new frame has its length twice its height. It is made with 126cm of wood. What is the length (in cm) of this frame? <ul><li>(c) Award TWO marks for 42cm, even if there are errors in the working. up to 2 </li></ul><ul><li>If answer is incorrect, award ONE mark for evidence that the relationship “length is twice the height” has been used, eg: </li></ul><ul><ul><li>2H + 4H = 126 </li></ul></ul><ul><ul><li>H + 2H + H + 2H = 126 </li></ul></ul><ul><ul><li>20 + 40 + 20 + 40 = 120 </li></ul></ul><ul><ul><ul><ul><li>The answers may be implicit, eg: </li></ul></ul></ul></ul><ul><ul><ul><ul><ul><li>· 21 + 42 + 21 + 42 = 126 (Two marks) </li></ul></ul></ul></ul></ul><ul><ul><ul><ul><ul><li>· 126 ÷ 6 = 21 × 2 = 42 (Two marks) </li></ul></ul></ul></ul></ul><ul><ul><ul><ul><ul><li>· 126 ÷ 3 (answer incomplete One mark) </li></ul></ul></ul></ul></ul>
32. 32. 1995 Mathematics Paper A Q15 Next Page Answer Key 1. Boxes measure 2.5cm by 4.5cm by 6.2cm. The shopkeeper puts them in a tray. Work out the largest number of boxes which can lie flat in the tray. Two marks for correct answer, 1 for correct working.
33. 33. 1995 Mathematics Paper A Q15 Next Page 1. Boxes measure 2.5cm by 4.5cm by 6.2cm. The shopkeeper puts them in a tray. Work out the largest number of boxes which can lie flat in the tray. Award TWO marks for the correct answer of 10, even if there are errors up to 2 in the working. If the answer is incorrect, award ONE mark for evidence of any attempt at solution, by any method, eg: · 31 ÷ 6.2 and 9 ÷4.5 are attempted calculations; · 31 ÷ 6.2 and 9 ÷4.5 are estimated; · “You can get two boxes widthways and 5 lengthways”.
34. 34. 1995 Mathematics Paper A Q16a Next Page Answer Key 1. The Year 6 children in a school were asked to choose a musical instrument. This is a pie chart of their choices. Estimate what fraction of the children chose a drum.
35. 35. 1995 Mathematics Paper A Q16 a Next Page 1. The Year 6 children in a school were asked to choose a musical instrument. This is a pie chart of their choices. Estimate what fraction of the children chose a drum. <ul><li>(a) The answer is approximately 1/7. Accept any fraction, percentage or decimal in the range: </li></ul><ul><ul><li>· 1/9 to 1/5, inclusive </li></ul></ul><ul><ul><li>· 11% to 20%, inclusive </li></ul></ul><ul><ul><li>· 0.11 to 0.2, inclusive </li></ul></ul>Pie Chart Demo’
36. 36. 1995 Mathematics Paper A Q16 b Next Page Answer Key 1. The Year 6 children in a school were asked to choose a musical instrument. This is a pie chart of their choices. There are 80 children in Year 6. Estimate the number of children who chose a violin.
37. 37. 1995 Mathematics Paper A Q16 Next Page 1. The Year 6 children in a school were asked to choose a musical instrument. This is a pie chart of their choices. There are 80 children in Year 6. Estimate the number of children who chose a violin. (b) The correct answer is 10. Accept any number in the range 8 to 12, inclusive. Pie Chart Demo’
38. 38. 1995 Mathematics Paper A Q16c Next Page Answer Key 1. The Year 6 children in a school were asked to choose a musical instrument. This is a pie chart of their choices. There are 80 children in Year 6. Estimate the number of children who chose a violin. Explain how you decided.
39. 39. 1995 Mathematics Paper A Q16 Next Page 1. The Year 6 children in a school were asked to choose a musical instrument. This is a pie chart of their choices. There are 80 children in Year 6. Estimate the number of children who chose a violin. Explain how you decided. <ul><li>(c) The explanation should make reference, in some form, to appropriate fractional estimates, eg: </li></ul><ul><ul><li>· </li></ul></ul><ul><ul><li>“ Because it looks like a quarter of a half and that’s 10.” </li></ul></ul><ul><ul><li>“ I thought the violin looked like half the trumpet and that was about a quarter.” </li></ul></ul><ul><ul><li>“ I decided this because 1/4 was 20 children, so I halved 20 and made it 10.” </li></ul></ul><ul><ul><ul><ul><li>Explanations which lack specific reference to appropriate fractions should not be awarded the mark, eg: </li></ul></ul></ul></ul><ul><ul><ul><li>“ Because it’s a bit less than the trumpet.” </li></ul></ul></ul><ul><ul><ul><li>“ Because there are 6 parts to the pie chart.” </li></ul></ul></ul>Pie Chart Demo’
40. 40. 1995 Mathematics Paper A Q16d Next Page Answer Key 1. The Year 6 children in a school were asked to choose a musical instrument. This is a pie chart of their choices. 15% of the 80 children chose a guitar. How many children is this? Two marks for correct answer, 1 for correct working.
41. 41. 1995 Mathematics Paper A Q16 Next Page 1. The Year 6 children in a school were asked to choose a musical instrument. This is a pie chart of their choices. 15% of the 80 children chose a guitar. How many children is this? <ul><li>(d) Award TWO marks for the correct answer of 12, even if there are errors in the working. </li></ul><ul><li>Award ONE mark if the answer is incorrect, but there is evidence of an attempt to calculate 15% of 80 by any method, eg: </li></ul><ul><ul><li>· 15/100 × 80 = (incorrect answer given) </li></ul></ul><ul><ul><li>· 10% of 80 = 8, 5% is 4, so 15% of 80 = (incorrect answer given) </li></ul></ul><ul><ul><li>· 1% of 80 = 80/100 = 4/5, so 15% = 4/5 × 15 = (incorrect answer given) </li></ul></ul><ul><ul><ul><ul><li>The writing of “15/100 × 80” (or equivalent) alone is not sufficient evidence of an attempt to calculate. </li></ul></ul></ul></ul>Pie Chart Demo’
42. 42. 1995 Mathematics Paper A Q17 Write in the missing digit. 92 ÷ 14 = 28 Next Page Answer Key
43. 43. 1995 Mathematics Paper A Q17 Write in the missing digit. 92 ÷ 14 = 28 Next Page Simple version: ? ÷ 2 = 3 What is ? ? = 6 so what did you do with 3 and 2 to make 6? 3 * 2 = 6 So replace with the actual numbers 28 * 14 = 3 92 K eep I t S imple S tupid!
44. 44. 1995 Mathematics Paper A Q18a Kim wants to estimate the probability that her friend Tony will answer the phone when she rings the house. Here are two ways she could do it. A There are four people in the house, so there is a probability of 1 out of 4 it will be Tony. B The last time Kim rang, Tony answered, so it won’t be Tony this time. Kim says A is not a good way to estimate the probability. Explain why not. Next Page Answer Key She also says B is not a good way to estimate the probability. Explain why not.
45. 45. 1995 Mathematics Paper A Q18 Kim wants to estimate the probability that her friend Tony will answer the phone when she rings the house. Here are two ways she could do it. A There are four people in the house, so there is a probability of 1 out of 4 it will be Tony. B The last time Kim rang, Tony answered, so it won’t be Tony this time. Kim says A is not a good way to estimate the probability. Explain why not. Next Page Answer Key <ul><li>(a) Explanation which suggests that the people in the house are not equally likely to answer the phone, eg: </li></ul><ul><ul><li>· “Some of them might be babies.” </li></ul></ul><ul><ul><li>· “Some of them might never answer the phone.” </li></ul></ul><ul><ul><li>· “He doesn’t know what’s happening in the house.” </li></ul></ul><ul><ul><li>· “They don’t all answer the phone the same amount.” </li></ul></ul><ul><ul><ul><ul><li>Do not accept answers that make specific assumptions that are unjustified, eg: </li></ul></ul></ul></ul><ul><ul><ul><ul><ul><li>· “Because normally children are asked to answer the phone.” </li></ul></ul></ul></ul></ul><ul><ul><ul><ul><ul><li>· “They might all be out.” </li></ul></ul></ul></ul></ul>
46. 46. 1995 Mathematics Paper A Q18b Kim wants to estimate the probability that her friend Tony will answer the phone when she rings the house. Here are two ways she could do it. A There are four people in the house, so there is a probability of 1 out of 4 it will be Tony. B The last time Kim rang, Tony answered, so it won’t be Tony this time. Kim says A is not a good way to estimate the probability. Next Page <ul><li>( b) Explanation which suggests that what happened on just one occasion is an inadequate guide to estimating probability, eg: 1 </li></ul><ul><ul><li>“ Just because Tony answered last time doesn’t mean it won’t be him next time.” </li></ul></ul><ul><ul><li>“ Anyone could answer the phone next time. It could be Tony again.” </li></ul></ul><ul><ul><ul><ul><li>Do not accept answers that offer an arbitrary or unjustified reason, eg: </li></ul></ul></ul></ul><ul><ul><ul><ul><ul><li>· “Because it’s just a guess.” </li></ul></ul></ul></ul></ul><ul><ul><ul><ul><ul><li>· “Tony usually answers.” </li></ul></ul></ul></ul></ul>She also says B is not a good way to estimate the probability. Explain why not.
47. 47. 1995 Mathematics Paper A Q19a Write in the missing digits. Next Page The first one is?
48. 48. 1995 Mathematics Paper A Q19b Write in the missing digits. Next Page The second one is? XL File
49. 49. 1995 Mathematics Paper A Q20 Mr Green sells apples Mrs Ball sells apples at 40p per kilogram. at 24p per pound. Work out who sells the cheaper apples. Show how you worked it out. Next Page Answer Key
50. 50. 1995 Mathematics Paper A Q20 Mr Green sells apples Mrs Ball sells apples at 40p per kilogram. at 24p per pound. Work out who sells the cheaper apples. Show how you worked it out. End of paper <ul><li>Evidence of conversion from lbs to kg OR kg to lbs, such as multiplication or division by 2 or 2.2, eg: </li></ul><ul><li>· 24 × 2.2 </li></ul><ul><li>· “There’s more than 2 pounds in a kilogram so it will be about 50p for a kg of apples. So, Mr Green.” </li></ul><ul><li>· “40p per kg is about 20p a pound.” </li></ul><ul><ul><ul><li>No mark is awarded or forfeited for the name, Mr Green or Mrs Ball. </li></ul></ul></ul>