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1. Test The scatter graph shows 15 pupils’ coursework and test marks. 50 K 40 × N × R 30 × Te st B× E m a rk × H × M × C F J 20 × × × L× P× A D × G × 10 × 0 0 10 20 30 40 50 C o u rs e w o rk m a rk To ﬁnd a pupil’s total mark, you add the coursework mark to the test mark. (a) Which pupil had the highest total mark? ............................... 1 mark (b) Look at the statement below. Tick ( ) True or False. The range of coursework marks was greater than the range of test marks. False True Explain your answer. 1 markQueensbury School 1
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(c) Pupils with total marks in the shaded region on the graph win a prize. 50 40 30 Te st m a rk 20 10 0 0 10 20 30 40 50 C o u rs e w o rk m a rk What is the smallest total mark needed to win a prize? ............................... 1 mark
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2. Test The scatter graph shows 15 pupils’ coursework and test marks. 50 K 40 × N × R 30 × Te st B× E m a rk × H × M × C F J 20 × × × L× P× A D × G × 10 × 0 0 10 20 30 40 50 C o u rs e w o rk m a rk To ﬁnd a pupil’s total mark, you add the coursework mark to the test mark. (a) Which pupil had the highest total mark? ............................... 1 mark (b) Look at the statement below. Tick ( ) True or False. The range of coursework marks was greater than the range of test marks. No Yes Explain your answer. 1 markQueensbury School 3
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(c) Pupils with total marks in the shaded region on the graph win a prize. 50 40 30 Te st m a rk 20 10 0 0 10 20 30 40 50 C o u rs e w o rk m a rk What is the smallest total mark needed to win a prize? ............................... 1 mark(d) Another school has a different rule for pupils to win a prize. Rule: The coursework mark must be 25 or more, and the test mark must be 25 or more, and the total mark must be 65 or more. On the graph below, shade the region of total marks for which pupils would win a prize. 50 40 30 Te st m a rk 20 10 0 0 10 20 30 40 50 C o u rs e w o rk m a rk 2 marks
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3. Scatter graphs The scatter graph shows information about trees called poplars. 6 5 4 H e ig h t o f tre e (m ) 3 2 1 0 0 1 2 3 4 5 D ia m e te r o f tr e e tr u n k ( c m ) (a) What does the scatter graph show about the relationship between the diameter of the tree trunk and the height of the tree? 1 mark (b) The height of a different tree is 3 m. The diameter of its trunk is 5 cm. Use the graph to explain why this tree is not likely to be a poplar.Queensbury School 5
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1 mark(c) Another tree is a poplar. The diameter of its trunk is 3.2 cm. Estimate the height of this tree. ............................ m 1 mark(d) Below are some statements about drawing lines of best fit on scatter graphs. For each statement, tick ( ) to show whether the statement is True or False. Lines of best fit must always... go through the origin. True False have a positive gradient. True False join the smallest and the largest values. True False pass through every point on the graph. True False 2 marks
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4. Mice Three types of mice might come into our homes. Some mice are more likely to be found in homes far from woodland. Others are more likely to be found in homes close to woodland. The bar charts show the percentages of mice that are of each type. Key Y e llo w - n e c k e d m ic e W o o d m ic e H o u s e m ic e T y p e o f m o u s e fo u n d 100 100 80 80 60 60 % % 40 40 20 20 0 0 F a r fro m C lo s e to w o o d la n d w o o d la n d (m o re th a n 5 0 0 m ) ( 5 0 0 m o r le s s )Queensbury School 7
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Use the bar charts to answer these questions.(a) About what percentage of mice in homes close to woodland are wood mice? .......................... % 1 mark(b) About what percentage of mice in homes far from woodland are not wood mice? .......................... % 1 mark(c) The black bars show the percentages for house mice. One of the black bars is taller than the other. Does that mean there must be more house mice in homes far from woodland than in homes close to woodland? Tick ( ) Yes or No. True False Explain your answer. 1 mark
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5. Glasses There are 60 pupils in a school. 6 of these pupils wear glasses. (a) The pie chart is not drawn accurately. W ear g la s s e s D o not w e a r g la s s e s What should the angles be? Show your working. ........................ ° and ........................° 2 marks (b) Exactly half of the 60 pupils in the school are boys. From this information, what percentage of boys in this school wear glasses? Tick ( ) the correct box below. 5% 6% 10% 20% 50% not possible to tell 1 markQueensbury School 9
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6. Horses The scatter diagram shows the heights and masses of some horses. The scatter diagram also shows a line of best fit. 700 600 M ass (k g ) 500 400 300 140 150 160 170 H e ig h t (c m ) (a) What does the scatter diagram show about the relationship between the height and mass of horses? 1 mark (b) The height of a horse is 163cm. Use the line of best fit to estimate the mass of the horse. .......................... kg 1 mark (c) A different horse has a mass of 625kg. Use the line of best fit to estimate the height of the horse. ......................... cm 1 mark
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(d) A teacher asks his class to investigate this statement: "The length of the back leg of a horse is always less than the length of the front leg of a horse." What might a scatter graph look like if the statement is correct? Use the axes below to show your answer. 11 0 100 L e n g th o f b a c k le g 9 0 (c m ) 80 70 70 80 90 100 110 L e n g th o f fr o n t le g (c m ) 1 markQueensbury School 11
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7. Shoe laces Some shoes have holes for shoe laces. These holes are called ‘eyes’. Simon has 7 pairs of shoes. The scatter diagram shows information about each pair. 150 × 130 L e n g th o f 11 0 × s h o e la c e (c m ) 90 × 70 × × × 50 × 0 2 4 6 8 10 12 14 16 N u m b e r o f e y e s in th e s h o e (a) Simon buys a pair of shoes. There are 14 eyes in the shoe, and the length of the shoe lace is 130 cm. Draw a cross on the scatter diagram to show this information. 1 mark (b) One of Simon’s pairs of shoes has the wrong length of shoe lace. Which of the crosses on the scatter diagram is most likely to represent this pair of shoes? Circle it. 1 mark (c) A different shoe has 12 eyes. What length of shoe lace do you think it should have? ......................... cm 1 mark
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