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Whiteboardmaths.com © 2004 All rights reserved 5 7 2 1
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SHAPE and SPACE HANDLIN G DATA CCCC FFFF SHAPE and SPACE HANDLIN G DATA SHAPE and SPACE HANDLIN G DATA EEEE CCCC EEEE DDDD FFFF CCCC EEEE DDDD EEEE DDDD FFFF CCCC DDDD FFFF ALGEBRA NUMBER SHAPE SPACE & M SPACE & M HANDLING DATA
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Back to board Answer 0 1 ½ Where would the fraction below go on the number line? 5 12
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Back to board 0 1 ½ Where would the fraction below go on the number line? 5 12 The line is divided into 12 equal parts.
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Back to board Answer What is 15% of £34?
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Back to board What is 15% of £34? Explain? £5.10
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Back to board What is 15% of £34? £5.10 10% = £3.40 5% = £1.70 15 % = £5.10 +
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Back to board Answer What is 2 3 + 1 8
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Back to board What is 2 3 + 1 8 19 24 Explain?
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Back to board What is 2 3 + 1 8 19 24 16 24 + 3 The lowest common multiple of 3 and 8 is 24. Find equivalent fractions with this denominator then add.
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Back to board Answer Use your calculator to work out the calculation shown, giving your answer correct to 2 significant figures. (39.8 2 - 18.4 2 )
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Back to board Explain? 35 Use your calculator to work out the calculation shown, giving your answer correct to 2 significant figures. (39.8 2 - 18.4 2 )
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Back to board Use your calculator to work out the calculation shown, giving your answer correct to 2 significant figures. (39.8 2 - 18.4 2 ) 35 Calculator display gives 35.29135872..
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Back to board Answer What are the co-ordinates of each toy? 0 2 4 6 8 10 2 4 6 8
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Back to board What are the co-ordinates of each toy? 0 2 4 6 8 10 2 4 6 8 (2,3) (4,7) (9,6) Remember: across first up then
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Back to board Answer (a) How many balls are in the 5 th pattern? (b) What is the name of this number sequence?
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Back to board (a) 15 (b) Triangular Numbers Explain? (a) How many balls are in the 5 th pattern? (b) What is the name of this number sequence?
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Back to board (a) How many balls are in the 5 th pattern? (b) What is the name of this number sequence? (a) 15 (b) Triangular Numbers 1 + 2 + 3 + 4 1 + 2 + 3 1 + 2 1 1 + 2 + 3 + 4 + 5 = 15
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Back to board Answer Solve : 3( x - 4) = x + 5
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Back to board x = 8½ Explain? Solve : 3( x - 4) = x + 5
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Back to board x = 8½ 3 x - 12 = x + 5 (expanding brackets) 2 x - 12 = 5 (subtracting x from both sides) 2 x = 17 (Adding 12 to both sides) x = 8½ (dividing both sides by 2) Check: is 3(8½ - 4) = 8½ + 5 Solve : 3( x - 4) = x + 5
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Back to board Answer What is the algebraic rule in (terms of n) for the number of metal strips in the n th diagram? 1 2 3 n ? 3 5 7
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Back to board 1 2 3 ? n Explain? n th term: t n = 2n + 1 3 5 7 What is the algebraic rule in (terms of n) for the number of metal strips in the n th diagram?
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Back to board 1 2 3 ? n 3 5 7 n th term: t n = 2n + 1 Twice the diagram number + 1 What is the algebraic rule in (terms of n) for the number of metal strips in the n th diagram?
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Back to board Answer Snoopy said that all the pentominoes below have the same area (5 cm 2 ) so they must have the same perimeter as well. Hippo disagreed. Who was right?
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Back to board Snoopy said that all the pentominoes below have the same area (5 cm 2 ) so they must have the same perimeter as well. Hippo disagreed. Who was right? Hippo Explain?
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Back to board Snoopy said that all the pentominoes below have the same area (5 cm 2 ) so they must have the same perimeter as well. Hippo disagreed. Who was right? Hippo 12 cm 10 cm Remember that the perimeter is the distance all the way around the outside of a shape.
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Back to board Answer 1 kg Sugar What is the approximate weight of the bag of sugar in imperial units?
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Back to board 1 kg Sugar What is the approximate weight of the bag of sugar in imperial units? 2 lbs 1 kg 2.2 lbs
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Back to board Answer 135 o a b Find (giving reasons) angles a and b.
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Back to board 135 o a b Find (giving reasons) angles a and b. Angle a = 135 0 (Corresponding angles are equal) Angle b = 45 0 (Angles on a straight line add to 180 0 )
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Back to board Answer Find the volume of the triangular based prism. 8 cm 9 cm 4 cm Not to scale
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Back to board 144 cm 3 Explain? Find the volume of the triangular based prism. 8 cm 9 cm 4 cm Not to scale
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Back to board 8 cm 9 cm 4 cm Find the volume of the triangular based prism. 144 cm 3 9 x 8 2 V = x 4 = 36 x 4 = 144 base x height 2 V = x length Remember: Not to scale
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Back to board Answer 0-910-19 20-2930-39 40-49 50-60 Marks Frequency 5 10 15 20 25 Test Scores The frequency diagram below shows the scores for some students in a maths test. How many students scored 40 marks or more?
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Back to board 0-910-19 20-2930-39 40-49 50-60 Marks Frequency 5 10 15 20 25 Test Scores 13 Explain? The frequency diagram below shows the scores for some students in a maths test. How many students scored 40 marks or more?
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Back to board 0-910-19 20-2930-39 40-49 50-60 Marks Frequency 5 10 15 20 25 Test Scores 13 10 3 The frequency diagram below shows the scores for some students in a maths test. How many students scored 40 marks or more?
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Back to board One counter is drawn from the bag at random. Where would you mark the probability of it being blue on the probability line? Answer 0 1 ½
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Back to board One counter is drawn from the bag at random. Where would you mark the probability of it being blue on the probability line? 0 1 ½ 1/3 P(blue) =4/12 = 1/3 Explain?
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Back to board One counter is drawn from the bag at random. Where would you mark the probability of it being blue on the probability line? 0 1 ½ 1/3 P(blue) =4/12 = 1/3 4 of the counters are blue out of a total of 12 counters.
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Back to board Answer 80 people were asked which one of three TV Channels they preferred to watch. Complete the partially filled two-way table below. BBC 1ITVCH 4Total Male16930 Female1020 Total80
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Back to board 80 people were asked which one of three TV Channels they preferred to watch. Complete the partially filled two-way table below. BBC 1ITVCH 4Total Male16930 Female1020 Total80 5 50 20 29 26 25
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Back to board Answer 12 3 4 5 6 7 8 9 10 Hours of Sunshine 100 150 200 250 300 350 400 450 500 Number of Visitors0 The scatter graph with line of best fit shows information on the number of daily visitors to a museum last summer. Use the line of best fit to estimate the number of visitors to the museum on a day when there is 4½ hours of sunshine.
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Back to board Explain? 12 3 4 5 6 7 8 9 10 Hours of Sunshine 100 150 200 250 300 350 400 450 500 Number of Visitors0 The scatter graph with line of best fit shows information on the number of daily visitors to a museum last summer. 280 - 290 Use the line of best fit to estimate the number of visitors to the museum on a day when there is 4½ hours of sunshine.
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Back to board 12 3 4 5 6 7 8 9 10 Hours of Sunshine 100 150 200 250 300 350 400 450 500 Number of Visitors0 The scatter graph with line of best fit shows information on the number of daily visitors to a museum last summer. 280 - 290 Use the line of best fit to estimate the number of visitors to the museum on a day when there is 4½ hours of sunshine.
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