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Interactive Voting - 1997 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 - 1997 mathematics paper a

1. 1. 1997 Mathematics Paper A Input your name and press send. Next Page 1997 MATHS PAPER A
2. 2. 1997 Mathematics Paper A Next Page Q1 Put these numbers in order of size starting with the smallest first. <ul><li>456 </li></ul><ul><li>299 </li></ul><ul><li>901 </li></ul><ul><li>472 </li></ul><ul><li>575 </li></ul>
3. 3. 1997 Mathematics Paper A Next Page Q2 Write down the three numbers which divide by 5 with no remainder .
4. 4. 1997 Mathematics Paper A Next Page Answers Q3 What is the missing number? 30 ÷ = 6
5. 5. Next Page 1997 Mathematics Paper A Q3 What is in the missing number? K eep I t S imple S tupid! 30 ÷ ? = 6 6 ÷ ? = 2 6 ÷ 3 = 2 What did you do with 6 and 2 to get 3? You shared so do the same for the harder numbers: 30 ÷ 6 = 5 30 ÷ = 6
6. 6. 1997 Mathematics Paper A Next Page Q4 A Mel uses an 8-sided spinner. Order os 1 2 3 A B C D E Number 1 should go to letter ?
7. 7. 1997 Mathematics Paper A Next Page Q4 B Mel uses an 8-sided spinner. Order os 1 2 3 A B C D E Number 2 should go to letter ?
8. 8. 1997 Mathematics Paper A Next Page Answers Q4 C Mel uses an 8-sided spinner. Order os 1 2 3 A B C D E Number 3 should go to letter ?
9. 9. 1997 Mathematics Paper A Next Page Q4 Mel uses an 8-sided spinner. Order os 1 2 3 A B C D E
10. 10. 1997 Mathematics Paper A Q5 Draw the reflection of this triangle in the mirror line. Next Page Answers
11. 11. 1997 Mathematics Paper A Q5 Draw the reflection of this triangle in the mirror line. Next Page
12. 12. 1997 Mathematics Paper A Q6 A number multiplied by itself gives the answer 49. Next Page <ul><ul><li>2 3 4 5 6 7 8 9 </li></ul></ul>What is the number? PPT
13. 13. 1997 Mathematics Paper A Q7 A Emma buys these three jars of jam. Next Page What is the total cost of the three jars ? Answer in pence.
14. 14. 1997 Mathematics Paper A Q7 B Jack buys one jar of cherry jam for 82p. Next Page Answer key He pays with a £5 note. How much change does he get in pence? Two marks for the correct answer. One mark for working.
15. 15. 1997 Mathematics Paper A Q7 Jack buys one jar of cherry jam for 82p. Next Page He pays with a £5 note. How much change does he get in pence? <ul><li>(b) Award TWO marks for the correct answer of £4.18 OR 418p. up to 2 </li></ul><ul><li>If the answer is incorrect, award ONE mark for an appropriate calculation such as: </li></ul><ul><ul><li>· 5.00 – 0.82 = incorrect answer. </li></ul></ul><ul><ul><li>Accept any clear indication of the distinction between pounds and pence. </li></ul></ul><ul><ul><li>Accept 4.18 OR £4.18p OR £4 18 OR £4 18p OR 4-18. Accept 418. </li></ul></ul><ul><ul><li>Incorrect answers include £418 OR 4.18p OR £418p </li></ul></ul>
16. 16. 1997 Mathematics Paper A Q8 A Here are the times of some television programmes. Next Page What is showing on Channel 2 at ten minutes to nine ?
17. 17. 1997 Mathematics Paper A Q8 B Here are the times of some television programmes. Next Page Answers Tom watches Hospital Drama and then changes to Channel 1 at the end. What is showing on Channel 1 when he changes channel?
18. 18. 1997 Mathematics Paper A Q8 A Here are the times of some television programmes. Next Page What is showing on Channel 2 at ten minutes to nine ? Ten to nine = 8.50
19. 19. 1997 Mathematics Paper A Q8 B Here are the times of some television programmes. Next Page Tom watches Hospital Drama and then changes to Channel 1 at the end. What is showing on Channel 1 when he changes channel?
20. 20. 1997 Mathematics Paper A Q9 A Here are 7 shapes. Next Page How many of the shapes are octagons? Mark off using pen tool OCT = 8 as in 8 legged octopus
21. 21. 1997 Mathematics Paper A Giants Causeway rocks Honeycomb Q9 B Which two shapes are hexagons? Next Page Mark off using pen tool Hex from the Greek word for six How many legs does a bee have?
22. 22. Greek numbers found in English <ul><li>Mono- </li></ul><ul><li>Di- </li></ul><ul><li>Tri- </li></ul><ul><li>Tetra- </li></ul><ul><li>Penta- </li></ul><ul><li>Hexa- </li></ul><ul><li>Hepta- </li></ul><ul><li>Octa- </li></ul><ul><li>10. Deca- </li></ul>Can you give any words that include these? Next Page
23. 23. 1997 Mathematics Paper A Q10 Write what the missing numbers could be Next Page Answer key Any two digits which sum to 6, eg 4 + 2 5 + 1 6 + 0 3 + 3 or reversals of these Each of the two digits must be shown. Accept 0 as one of the digits.
24. 24. 1997 Mathematics Paper A Q11 A Here is a number sequence. What is the missing number? Next Page Answer key Q11 B Explain how you worked it out. <ul><li>(a) 15 OR 19 OR any other number supported by acceptable explanation in part (b) </li></ul><ul><ul><li>Accept 15 OR 19 irrespective of explanation in part (b). </li></ul></ul><ul><li>(b) Explanation which is consistent with the sequence given in part (a) </li></ul><ul><ul><li>If a correct answer to 11a appears and is justified by the explanation, and the box in 11a was left blank, then award the mark for part (a). </li></ul></ul><ul><ul><li>Do not accept vague or arbitrary explanations such as: ‘every time you add you go up’; ‘it does the same pattern’; ‘the numbers between keep going up’; ‘I just guessed’. Accept explanations in the form of numerical indications on the number sequence. Explanation must be sufficiently clear to enable the calculation of missing number. </li></ul></ul>
25. 25. 1997 Mathematics Paper A Q12 A This ring is made of regular pentagons, with sides of 5 centimetres. Next Page What is the length in cm of the outer edge of the ring? Mark off using pen tool
26. 26. 1997 Mathematics Paper A Q12 B Here is part of a new ring. It is made of squares and triangles. Next Page The pattern is continued to complete the ring. What is the total number of squares used in the complete ring? Mark off using pen tool
27. 27. 1997 Mathematics Paper A Next Page Answers Q13 There are 12 pencils in a box. A school buys 24 boxes . How many pencils does the school buy? Two marks for the correct answer. One mark for working.
28. 28. 1997 Mathematics Paper A Next Page Q13 There are 12 pencils in a box. A school buys 24 boxes . How many pencils does the school buy? 12 * 24 = 10 * 24 + 2 * 24 12 * 24 = 240 + 48 12 * 24 = 288
29. 29. 1997 Mathematics Paper A Q14a There are Seven number cards are in a bag. . Jill takes one card out and finds the total of the two numbers. She then puts the card back in the bag. This is a graph of Jill’s results after doing this 100 times . Give the reason why the ‘total 7’ never came up. Next Page
30. 30. 1997 Mathematics Paper A Q14b There are Seven number cards are in a bag. . Jill takes one card out and finds the total of the two numbers. She then puts the card back in the bag. This is a graph of Jill’s results after doing this 100 times . Give the reason why the ‘total 6’ came up most often . Next Page – Answer key
31. 31. 1997 Mathematics Paper A Q14 There are Seven number cards are in a bag. . Jill takes one card out and finds the total of the two numbers. She then puts the card back in the bag. This is a graph of Jill’s results after doing this 100 times . Next Page <ul><li>(a) Any response which suggests there is no card with a total of 7, eg: 1 </li></ul><ul><ul><li>· ‘Because none add up to 7’ </li></ul></ul><ul><ul><li>· ‘Because the totals are more than or less than 7’ </li></ul></ul><ul><ul><ul><ul><li>Do not accept vague or arbitrary reasons or reiteration of the question, eg: </li></ul></ul></ul></ul><ul><ul><ul><ul><li>‘ She never picked a 7’; ‘There’s only one 7’. </li></ul></ul></ul></ul><ul><li>(b) Any response which suggests that there are more cards totalling 6 than any other number, eg 1 </li></ul><ul><ul><li>· ‘6 is the commonest combined total on the cards’ </li></ul></ul><ul><ul><li>· ‘It’s mostly 6 when you add up’ </li></ul></ul><ul><ul><li>· ‘3 cards add up to 6 but there is only one of the others’ </li></ul></ul><ul><ul><li>· ‘More sixes can be made than any other number’ </li></ul></ul><ul><ul><ul><ul><li>Do not accept vague or arbitrary reasons or reiteration of the question, eg: </li></ul></ul></ul></ul><ul><ul><ul><ul><li>‘ 6 was the card she picked’; </li></ul></ul></ul></ul><ul><ul><ul><ul><li>‘ There’s more chance to get a six than a 7’; </li></ul></ul></ul></ul><ul><ul><ul><ul><li>‘ Three of them make 6’; </li></ul></ul></ul></ul><ul><ul><ul><ul><li>‘ 6 was most’. </li></ul></ul></ul></ul>
32. 32. 1997 Mathematics Paper A Q15 In the chart any three numbers in a line, across or down, have a total of 18.45 What is the missing number? Hint – do some working out before sending. Next Page – Answer key Two marks for the correct answer. One mark for working.
33. 33. 1997 Mathematics Paper A Q15 In the chart any three numbers in a line, across or down, have a total of 18.45 What is the missing number? Next Page Two marks for the correct answer. One mark for working. Award TWO marks for the correct answer of 6.15 up to 2 If the answer is incorrect, award ONE mark for an appropriate calculation such as: · 8.61 + 3.69 = 12.3 · 18.45 – 12.3 = incorrect answer.
34. 34. 1997 Mathematics Paper A Q16 What could the four missing digits be? Next Page Answer key
35. 35. 1997 Mathematics Paper A Q16 What could the four missing digits be? Next Page Any set of four digits which make the calculation correct, eg : Accept 300 ÷ 10 = 30 All four digits must be given. Do not accept This number must always be how many times greater than this number?
36. 36. 1997 Mathematics Paper A Q17a This plan of a garden is made of rectangles and triangles. The area of each rectangle is 12 square metres. What is the area of the whole garden in metres squared ? Next Page
37. 37. 1997 Mathematics Paper A Q17a This plan of a garden is made of rectangles and triangles. The area of each rectangle is 12 square metres. What is the area of the whole garden in metres squared ? Next Page Mark off using pen tool 12 12 12 12 12 Plus 4 triangles (each is worth half a square) i.e. Plus 2 * 12 Final sum = (12 * 5) + (2*12) = 7*12 = 84
38. 38. 1997 Mathematics Paper A Q17b This plan of a garden is made of rectangles and triangles. The perimeter of the garden is 34 metres . What is the length of the longest side of each triangle (in metres)? Next Page – Answer key
39. 39. 1997 Mathematics Paper A Q17b This plan of a garden is made of rectangles and triangles. The perimeter of the garden is 34 metres . What is the length of the longest side of each triangle (in metres)? Next Page <ul><li>(b) Award TWO marks for the correct answer of 5. up to 2 </li></ul><ul><li>If the answer is incorrect, award ONE mark for an appropriate calculation such as: </li></ul><ul><ul><li>(34 – 6 – 8) ÷ 4 = incorrect answer. </li></ul></ul>34 = perimeter 6 = 3m * 2 8 = 4m *2 4 = triangles (long sides) OR use pythagoras’ theorum http://www.mathsisfun.com/pythagoras.html
40. 40. 1997 Mathematics Paper A Q18a Here is a table of temperatures at dawn on the same day. Next Page What is the difference in temperature between London and Paris ?
41. 41. 1997 Mathematics Paper A Q18b Here is a table of temperatures at dawn on the same day. Next Page At noon the temperature in New York has risen by 5°C. What is the temperature in New York at noon? PPT Thermom PPT -ve_nos
42. 42. 1997 Mathematics Paper A Q19 A school collects money for charity. This chart shows how much has been collected. Next Page – Answer key A The target is £3000 . Estimate how much more money the school needs to reach the target. B Anil says, The chart shows that we will reach the target in two months. Use the chart to explain why Anil may be wrong.
43. 43. 1997 Mathematics Paper A Q19 A school collects money for charity. This chart shows how much has been collected. Next Page A The target is £3000 . Estimate how much more money the school needs to reach the target. Answer in the range of £600 to £650, inclusive. <ul><li>B Anil says, </li></ul><ul><li>The chart shows that we will reach the target in two months. Use the chart to explain why Anil may be wrong. </li></ul><ul><li>Explanation which indicates that the amounts raised each month can vary AND that 1 the money raised may be either insufficient to reach the target in 2 months or enough to reach the target in 1 month, eg </li></ul><ul><ul><li>· ‘They could have two months like December’ </li></ul></ul><ul><ul><li>· ‘In April they might get more money than any month before’ </li></ul></ul><ul><ul><ul><ul><li>Accept appropriate explanations related to the answer given in 19a, even if this is incorrect. </li></ul></ul></ul></ul><ul><ul><ul><ul><li>Do not accept vague or arbitrary reasons, eg: </li></ul></ul></ul></ul><ul><ul><ul><ul><li>‘ They might not get any more money’; </li></ul></ul></ul></ul><ul><ul><ul><ul><li>‘ People have spent all their money on charity’; </li></ul></ul></ul></ul><ul><ul><ul><ul><li>‘ It’s not enough time’. </li></ul></ul></ul></ul>
44. 44. 1997 Mathematics Paper A Q20a Write a different number in each of these boxes so that the mean of the three numbers is 9. Next Page XL file
45. 45. 1997 Mathematics Paper A Q20b Write a different number in each of these boxes so that the mode of the five numbers is 11. Next Page XL file
46. 46. 1997 Mathematics Paper A Q21 Kim knows that 137 X 28 = 3836 Explain how she can use this information to work out this multiplication. 138 X 28 Next Page – Answer Key
47. 47. 1997 Mathematics Paper A Q21 Kim knows that 137 X 28 = 3836 Explain how she can use this information to work out this multiplication. 138 X 28 Next Page <ul><li>Explanation that implies that 28 must be added to 3836, eg: </li></ul><ul><li>· ‘Just add another 28 on’ </li></ul><ul><li>· ‘Do another 28 on’ </li></ul><ul><li>· ‘It’s an extra 28’ </li></ul><ul><li>· ‘3836 + 28’ </li></ul><ul><ul><ul><li>Do not accept vague or arbitrary reasons, eg: </li></ul></ul></ul><ul><ul><ul><li>‘ Do the same sum but add 1 to the number’; </li></ul></ul></ul><ul><ul><ul><li>‘ Do a times sum’; </li></ul></ul></ul><ul><ul><ul><li>‘ Just another unit on’. </li></ul></ul></ul><ul><ul><ul><li>No mark is awarded for giving the answer 3864 without an adequate explanation. </li></ul></ul></ul>
48. 48. 1997 Mathematics Paper A Q22 Strips of paper are each 30 centimetres long. Next Page Steve joins strips of paper together to make a streamer. The strips overlap each other by 5cm. How long is a streamer made from only 2 strips ?
49. 49. 1997 Mathematics Paper A Q22 Strips of paper are each 30 centimetres long. Next Page – Answer key Steve joins strips of paper together to make a streamer. The strips overlap each other by 5cm. Sunita makes a streamer that is 280cm long. How many strips does she use?
50. 50. 1997 Mathematics Paper A Q22 Strips of paper are each 30 centimetres long. Next Page - Answer key Steve joins strips of paper together to make a streamer. The strips overlap each other by 5cm. How long is a streamer made from only 2 strips ? Correct answer = 55 i.e. 30 + 30 – (the overlap of 5) = 60 – 5 = 55
51. 51. 1997 Mathematics Paper A Q22 Strips of paper are each 30 centimetres long. End of paper. Steve joins strips of paper together to make a streamer. The strips overlap each other by 5cm. Sunita makes a streamer that is 280cm long. How many strips does she use? <ul><li>Award TWO marks for the correct answer of 11 (up to 2) </li></ul><ul><li>If the answer is incorrect, award ONE mark for appropriate calculation, eg: </li></ul><ul><ul><li>· 280 – 30 = 250 </li></ul></ul><ul><ul><li>· (250 ÷ 25) + 1 = incorrect answer. </li></ul></ul>