Interactive Voting - 1996 mathematics paper b
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Interactive Voting - 1996 mathematics paper b

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

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

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  • 1. 1996 Mathematics Paper A Input your name and press send. Next Page 1996 MATHS PAPER B
  • 2. Next Page Answer key 1996 Mathematics Paper B Q1 Write what the missing numbers could be. - = 77 x = 54
  • 3. Next Page 1996 Mathematics Paper B Q1 Write what the missing numbers could be. - = 77 x = 54
    • Any two numbers which have a difference of 77, eg:
    • 80 -3
    • Numbers must be in the correct order.
    • Accept 77 – 0.
    • Accept negative answers, eg:
    • ·
    • 70 - -7
    • Answers must be in the form of only two numbers (one number in each box). Do not accept, eg:
    • ·
    • 90 – 10 – 3 = 77
    • ·
  • 4. Next Page Answer key 1996 Mathematics Paper B Q2 Tim buys a 19p postcard. He pays exactly 19p with five coins. What could the five coins be?
  • 5. Next Page 1996 Mathematics Paper B Q2 Tim buys a 19p postcard. He pays exactly 19p with five coins. What could the five coins be? All must be correct. Accept any number in any order. Award mark even if ‘p’ is missing. Accept answers elsewhere on the page if boxes are blank. Accept coins drawn.
  • 6. Next Page 1996 Mathematics Paper B Q3a Anne makes a graph of buses passing a school in 1 hour. How many times does a Number 27 bus pass in the hour? Q3b Anne says, “ Bus number 39 passes least often in the hour.” Explain how the graph shows this.
  • 7. Next Page 1996 Mathematics Paper B Q3c How many more Number 8 buses pass in the hour than Number 11 buses?
  • 8. Next Page 1996 Mathematics Paper B Q4a Here is a calculation with one sign missing.
    • What is the missing sign?
    • +
    • -
    • X
    • ÷
  • 9. Next Page 1996 Mathematics Paper B Q4b Here is a calculation with one sign missing.
    • What is the missing sign?
    • +
    • -
    • X
    • ÷
    XL File
  • 10. Next Page Answer Key 1996 Mathematics Paper B Q5 What is in the missing three-digit number?
  • 11. Next Page 1996 Mathematics Paper B Q5 What is in the missing three-digit number? K eep I t S imple S tupid! ? ÷ 10 = 20 ? ÷ 3 = 2 6 ÷ 3 = 2 What did you do with 3 and 2 to get 6? You multiplied so do the same for the harder numbers: 10 * 20 = 200
  • 12. Next Page 1996 Mathematics Paper B Q6 What is the first missing number?
  • 13. Next Page 1996 Mathematics Paper B Q6 What is the second missing number? XL File
  • 14. Next Page 1996 Mathematics Paper B Q7a Leon’s grid has two shaded shapes. Leon says, “ Shape A has a larger area than shape B.” Explain how he could have worked this out. 1 2 3 4 5 6 1 2 3 4 5
  • 15. Next Page 1996 Mathematics Paper B Q7b On the board draw a different shape. It must have the same area as shape A . 1 2 3 4 5 6
  • 16. Next Page Answers 1996 Mathematics Paper B Q8 Here is an equilateral triangle drawn on a circle. Use straight lines draw a regular hexagon on this circle.
  • 17. Next Page 1996 Mathematics Paper B Q7b Here is an equilateral triangle drawn on a circle. Use straight lines draw a regular hexagon on this circle. How many sides does a hexagon have? It has 6 sides. How many dots are there around the circle? There are 12 Each side of the regular hexagon must be two dots wide
  • 18. Next Page 1996 Mathematics Paper B Q9a This is an open top box. For each shape, you must say whether it is a net of the box Is “A” a net of the box?
  • 19. Next Page 1996 Mathematics Paper B Q9b This is an open top box. For each shape, you must say whether it is a net of the box Is “B” a net of the box?
  • 20. Next Page 1996 Mathematics Paper B Q9c This is an open top box. For each shape, you must say whether it is a net of the box Is “C” a net of the box?
  • 21. Next Page Answers 1996 Mathematics Paper B Q9d This is an open top box. For each shape, you must say whether it is a net of the box Is “D” a net of the box?
  • 22. Next Page 1996 Mathematics Paper B Q9 This is an open top box. For each shape, you must say whether it is a net of the box Is “D” a net of the box?
  • 23. Next Page 1996 Mathematics Paper B Q10 The rule for this number sequence is “ double and subtract 1” What is the missing number?
  • 24. Next Page Answers 1996 Mathematics Paper B Q10 The rule for this number sequence is “ double and subtract 1” What is the missing number? Here is part of another sequence with the same rule. What is the missing number?
  • 25. Next Page 1996 Mathematics Paper B Q10 The rule for this number sequence is “ double and subtract 1” What is the missing number? Here is part of another sequence with the same rule. What is the missing number? (2 * 2 = 4)-1=3 (3 * 2 = 6)-1=5 (5 * 2 = 10)-1=9 (9 * 2 = 18)-1=17 (? * 2 = ??)-1=13 Work backwards: ?? – 1 = 13 ?? = 14 so ? * 2 = 14 ? Must be 7
  • 26. Next Page Answer Key 1996 Mathematics Paper B Q11 Use a ruler to draw 2 more lines to make an isosceles triangle. Draw in books or board?
  • 27. Next Page 1996 Mathematics Paper B Q11 Use a ruler to draw 2 more lines to make an isosceles triangle. Any isosceles triangle made by drawing two more lines, eg: (Isosceles = triangle with 2 sides the same length) Vertices need not be exactly on the dots provided intention is clear. There is no requirement to use the dots. Lines may go outside grid. Any triangle that uses the given line and has at least two sides equal to within 2mm is acceptable. Accept equilateral triangles. K eep I t S imple S tupid! 4 across 1 down
  • 28. Next Page 1996 Mathematics Paper B Q12a Here is a graph of guitar sales. The table below shows the change in sales from month to month. Use the graph to complete the table.
    • Did the March to April sales go:
    • Up
    • Or Down?
  • 29. Next Page 1996 Mathematics Paper B Q12b Here is a graph of guitar sales. The table below shows the change in sales from month to month. Use the graph to complete the table. How much did the March to April sales go down by?
  • 30. Next Page 1996 Mathematics Paper B Q12c Here is a graph of guitar sales. The table below shows the change in sales from month to month. Use the graph to complete the table.
    • Did the May to June sales go:
    • Up
    • Or Down?
  • 31. Next Page 1996 Mathematics Paper B Q12b Here is a graph of guitar sales. The table below shows the change in sales from month to month. Use the graph to complete the table. How much did the May to June sales go up by?
  • 32. Next Page 1996 Mathematics Paper B Q12 Here is a graph of guitar sales. Which month had the greatest change in sales compared with the month before?
    • January
    • February
    • March
    • April
    • May
    • June
  • 33. Next Page 1996 Mathematics Paper B Q13a There are 2 adults and 3 children in a family. How many pounds does it cost the family to go on the ferry? Answer like so: 33.20 Two marks for the correct answer. One mark for working out.
    • 2 adults = 2 * £23.00 = £46.00
    • 3 children = 3 * £11.50 = £34.50
    • £46.00 + £34.50 = £80.50
    • (a) Award TWO marks for the correct answer of £80.50. up to 2
    • If answer is incorrect, award ONE mark for evidence of appropriate strategy such as:
      • · £23 × 2 + £11.50 × 3
  • 34. Next Page 1996 Mathematics Paper B Q13b On the ferry they change pounds for French francs . For every £1 they get 7 francs . How many francs do they get for £150 ? x 100 50 0 7 700 350 0 = 1050
  • 35. Next Page 1996 Mathematics Paper B Q14a A, B and C are three corners of a square . What are the co-ordinates of the other corner ? ( , ) What is the first co-ordinate?
  • 36. Next Page Answers 1996 Mathematics Paper B Q14b A, B and C are three corners of a square . What are the co-ordinates of the other corner ? ( , ) What is the second co-ordinate?
  • 37. Next Page 1996 Mathematics Paper B Q14 A, B and C are three corners of a square . What are the co-ordinates of the other corner ? X co-ordinate y co-ordinate ( 4 , 3 )
  • 38. Next Page Answer Key 1996 Mathematics Paper B Q15 Complete this three-digit number so that it is a multiple of 9.
  • 39. Next Page 1996 Mathematics Paper B Q15 Complete this three-digit number so that it is a multiple of 9. Any three-digit number that is a multiple of 9,eg: If correct, the sum of the digits will be 9 or 18.
  • 40. Next Page 1996 Mathematics Paper B Q16a At a petrol station there is a scale for converting litres and gallons. Approximately how many litres are there in 3 gallons ? Give your answer to the nearest litre .
  • 41. Next Page Answers 1996 Mathematics Paper B Q16b At a petrol station there is a scale for converting litres and gallons. Approximately how many gallons are there in 7 litres ? Give your answer to 1 decimal place.
  • 42. Next Page 1996 Mathematics Paper B Q16 At a petrol station there is a scale for converting litres and gallons. Approximately how many gallons are there in 7 litres ? Give your answer to 1 decimal place. Approximately how many litres are there in 3 gallons ? Give your answer to the nearest litre .
  • 43. Next Page 1996 Mathematics Paper B Q17 Sarah draws a quadrilateral. It has these properties: · it has 2 long sides the same length; · it has 2 short sides the same length; · it does NOT have any right angles; · it does NOT have reflective symmetry. Write the mathematical name for Sarah’s quadrilateral.
  • 44. Does the quadrilateral have right angles? Y N A quadrilateral sorting diagram Does the quadrilateral have any parallel sides? Does the quadrilateral have four equal sides? Does the quadrilateral have four equal sides? Y N One pair of parallel sides? An Irregular quadrilateral Next Page Y N Y N Y N
  • 45. Next Page Answer key 1996 Mathematics Paper B Q18 Here are some number cards. A Use two of the cards to make a fraction which is less than . B How much less than 1 is your fraction?
  • 46. Next Page 1996 Mathematics Paper B Q18 Here are some number cards. A Use two of the cards to make a fraction which is less than . B How much less than 1 is your fraction? Accept: 3/7 or 3/9 or 3/11 or 5/11 Accept: 4/7 or 6/9 or 8/11 or 6/11 depending on the answer to A
  • 47. Next Page Answers 1996 Mathematics Paper B Q19 In a country dance there are 3 boys and 2 girls in every line. 42 boys take part in the dance. How many girls take part? . Two marks for the correct answer. One mark for working out.
  • 48. Next Page Answers 1996 Mathematics Paper B Q19 In a country dance there are 3 boys and 2 girls in every line. 42 boys take part in the dance. How many girls take part? . 1 line = 3b + 2g 1 line = 3b + 2g Total boys Total girls 3 2 6 4 Number of lines 1 2 How many lines (inc 3 boys) would you need to have 42 boys? 14 So what is 14 lots of 2 girls equal to? 28
  • 49. Next Page 1996 Mathematics Paper B Q20a Mrs Jones prints books. . Two marks for the correct answer. One mark for working out. Jon pays £4.35 for his book, including the cover. How many pages are in his book?
  • 50. Next Page Answer key 1996 Mathematics Paper B Q20b Mrs Jones prints books. . Two marks for the correct answer. One mark for working out. Here are the print prices again. 3p per page and 75p for the cover. Write a formula for the total cost of printing a book with cover. t stands for the total cost in pence. Use n for the number of pages. t =
  • 51. Next Page 1996 Mathematics Paper B Q20 Mrs Jones prints books. . Here are the print prices again. 3p per page and 75p for the cover. Write a formula for the total cost of printing a book with cover. t stands for the total cost in pence. Use n for the number of pages. Jon pays £4.35 for his book, including the cover. How many pages are in his book? (a) Award TWO marks for correct answer of 120 OR 95 (if book is assumed to have two covers) up to 2 If the answer is incorrect, award ONE mark for evidence of appropriate strategy, eg: · 435 – 75 = 360 360 ÷ 3 · 435 – 150 = 285 285 ÷ 3 (b) Award TWO marks for correct algebraic expression equivalent to t = 3n + 75, OR t = 3n + 150, eg: up to 2 · t = 3 × n + 75 · t = 75 + n3 If expression is incorrect award ONE mark for evidence of 3 × n, eg: · 3n + 750 OR evidence of addition of 75 (or 150) to an expression involving n, eg: · n + 75 No mark is awarded for the expression in words. Accept inclusion of ‘p’ in expression, eg: · 3p × n + 75p Accept ‘use of N’ as well as n. Answer to 20b must be consistent with answer to 20a, ie if 2 covers are assumed in 20a, they should be assumed in 20b.
  • 52. Next Page 1996 Mathematics Paper B Q21a Jim draws a graph to show how high two rockets go during their flight. . Estimate how much higher rocket A reaches than rocket B.
  • 53. Next Page 1996 Mathematics Paper B Q21b Jim draws a graph to show how high two rockets go during their flight. . Estimate the time after the start when the two rockets are at the same height .
  • 54. Next Page Answer key 1996 Mathematics Paper B Q21c Jim draws a graph to show how high two rockets go during their flight. . Jim says, “ The graph shows that rocket A was more than 200 m above the ground for about 23 seconds.” Explain how the graph shows this.
  • 55. Next Page 1996 Mathematics Paper B Q21a Jim draws a graph to show how high two rockets go during their flight. . Estimate how much higher rocket A reaches than rocket B. (a) Any answer in the range 145m to 175m inclusive.
  • 56. Next Page 1996 Mathematics Paper B Q21b Jim draws a graph to show how high two rockets go during their flight. . Estimate the time after the start when the two rockets are at the same height . (b) A time in the range 27 to 29 seconds inclusive.
  • 57. End of test 1996 Mathematics Paper B Q21a Jim draws a graph to show how high two rockets go during their flight. . Jim says, “ The graph shows that rocket A was more than 200 m above the ground for about 23 seconds.” Explain how the graph shows this.
    • (c) Evidence of awareness that the time interval between the points where the 200m line cuts the graph for rocket A has been used, eg: 1
      • · “He could have checked when the rocket went above 200m and when it went under 200m and worked out the time between.”
      • · “Look how high it goes until it gets to 200m then look along the horizontal line until it drops below 200m.”
          • An appropriate drawing on the graph, identifying the intersection of the 200m line with the curve is acceptable as part of explanation, eg, award mark for:
            • · “Subtract the two dots” if dots are marked indicating correct intersections. Do not accept vague statements or ones which only repeat information, eg:
            • · “You can draw the graph then draw the things then work it out.”
            • · “Because on the graph the rocket is above 200m for 23 seconds.”