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Whiteboardmaths.com 7 2 1 5 © 2004 All rights reserved NUMBER ALGEBRA F F E D C E D C SHAPE HANDLING SPACE & M DATA F E D C F E D C SHAPE and SPACE HANDLIN G DATA SHAPE and SPACE HANDLIN G DATA Where would the fraction below go on the number line? 0 ½ 1 1 4 Back to board Answer Where would the fraction below go on the number line? 0 ½ 1 4 Back to board 1 What is 15% of £44 Back to board Answer What is 15% of £44 £6.60 Back to board Explain? What is 15% of £44 £6.60 10% = £4.40 + 5% = £2.20 15 % = £6.60 Back to board What is Back to board 1 3 + 3 8 Answer What is 1 3 + 3 8 17 24 Back to board Explain? What is 1 3 + 3 8 The lowest common multiple of 3 and 8 is 24. Find equivalent fractions with this denominator. 8 9 + 24 24 Back to board 17 24 Use your calculator to work out the calculation shown, giving your answer correct to 2 significant figures. (42.72 - 17.62) Back to board Answer Use your calculator to work out the calculation shown, giving your answer correct to 2 significant figures. (42.72 - 17.62) 39 Back to board Explain? Use your calculator to work out the calculation shown, giving your answer correct to 2 significant figures. (42.72 - 17.62) Calculator display gives Back to board 38.90411289.. 39 What are the co-ordinates of each toy? 10 8 6 4 2 0 Back to board 2 4 6 8 10 Answer What are the co-ordinates of each toy? 10 (2,8) 8 (8,7) 6 Remember: (4,4) 4 2 0 Back to board 2 4 6 8 10 then up across first (a) How many balls are in the 6th pattern? (b) What is the name of this number sequence? Back to board Answer (a) How many balls are in the 6th pattern? (b) What is the name of this number sequence? (a) 21 Back to board (b) Triangular Numbers Explain? (a) How many balls are in the 6th pattern? (b) What is the name of this number sequence? 1 1+2 (a) 21 1+2+3 1+2+3+4 1+2+3+4+5 (b) Triangular Numbers 1 + 2 + 3 + 4 + 5 + 6 = 21 Back to board Solve : 2(x - 6) = x + 7 Back to board Answer Solve : 2(x - 6) = x + 7 x = 19 Back to board Explain? Solve : 2(x - 6) = x + 7 2x - 12 = x + 7 (expanding brackets) x - 12 = 7 (subtracting x from both sides) x = 19 (Adding 12 to both sides) Check: is 2(19 - 6) = 19 + 7 ? Back to board x = 19 What is the algebraic rule in (terms of n) for the number of wooden strips in the nth diagram? 1 3 2 n ? 4 Back to board 7 10 Answer What is the algebraic rule in (terms of n) for the number of wooden strips in the nth diagram? 1 3 2 n ? 4 10 7 nth term: tn= 3n + 1 Back to board Explain? What is the algebraic rule in (terms of n) for the number of wooden strips in the nth diagram? 1 3 2 n ? 4 7 10 nth term: tn= 3n + 1 Three times the diagram number + 1 Back to board Snoopy said that all the shapes below have the same area (6 cm2) so they must have the same perimeter as well. Hippo disagreed. Who was right? Back to board Answer Snoopy said that all the shapes below have the same area (6 cm2) so they must have the same perimeter as well. Hippo Hippo disagreed. Who was right? Back to board Explain? Snoopy said that all the shapes below have the same area (6 cm2) so they must have the same perimeter as well. Hippo Hippo disagreed. Who was right? 14 cm 10 cm 14 cm 12 cm Remember that the perimeter is the distance all the way around the outside of a shape. Back to board What is the approximate weight of the bag of sugar in imperial units? Sugar 2 kg Back to board Answer What is the approximate weight of the bag of sugar in imperial units? Sugar 4 lbs 2 kg 1 kg 2.2 lbs 2 kg 4.4 lbs Back to board Find (giving a reason) angle p. 45o p Back to board Answer Find (giving a reason) angle p. 45o p Angle p = 450 (Corresponding angles are equal) Back to board Find the volume of the triangular based prism. Not to scale 7 cm 6 cm 8 cm Back to board Answer Find the volume of the triangular based prism. Not to scale 7 cm 6 cm 8 cm 168 cm3 Back to board Explain? Find the volume of the triangular Remember: based prism. V = base x height x length 2 Not to scale 7 cm 6 cm 8 cm 168 cm3 Back to board 8x7 x6 V= 2 = 28 x 6 = 168 The frequency diagram below shows the scores for some students in a maths test. How many students scored less than 20 marks? 25 Test Scores Frequency 20 15 10 5 0-9 Back to board 10-19 20-29 30-39 40-49 50-60 Marks Answer The frequency diagram below shows the scores for some students in a maths test. How many students scored less than 20 marks? 25 Test Scores Frequency 20 15 10 22 5 0-9 Back to board 10-19 20-29 30-39 40-49 50-60 Marks Explain? The frequency diagram below shows the scores for some students in a maths test. How many students scored less than 20 marks? 25 Test Scores Frequency 20 15 15 10 7 22 5 0-9 Back to board 10-19 20-29 30-39 40-49 50-60 Marks One counter is drawn from the bag at random. Where would you mark the probability of it being red on the probability line? 0 Back to board ½ 1 Answer One counter is drawn from the bag at random. Where would you mark the probability of it being red on the probability line? 0 ½ 1/2 P(red) =6/12 = 1/2 6 of the counters are red out of a total of 12 counters. Back to board 1 80 people were asked which one of three TV Channels they preferred to watch. Complete the partially filled two-way table below. BBC 1 Male 16 Female 10 Total Back to board ITV CH 4 Total 9 30 20 80 Answer 80 people were asked which one of three TV Channels they preferred to watch. Complete the partially filled two-way table below. BBC 1 ITV CH 4 Total Male 16 5 9 30 Female 10 20 20 50 Total 26 25 29 80 Back to board Ice Creams Sold The scatter graph with line of best fit shows information on ice cream sales over a period of 10 days last summer. 500 450 400 (a) Describe the type 350 of correlation shown. 300 250 200 150 100 0 Back to board 1 (b) Use the line of best fit to estimate the number of ice creams sold on a day when there is 3 hours of sunshine. 2 3 4 5 6 7 8 9 10 Hours of Sunshine Answer Ice Creams Sold The scatter graph with line of best fit shows information on ice cream sales over a period of 10 days last summer. 500 450 400 (a) Describe the type 350 of correlation shown. 300 250 200 150 100 0 1 (b) Use the line of best fit to estimate the number of ice creams sold on a day when there is 3 hours of sunshine. 2 3 4 5 6 7 8 9 10 Hours of Sunshine (a) positive (b) 205 Back to board Explain? Ice Creams Sold The scatter graph with line of best fit shows information on ice cream sales over a period of 10 days last summer. 500 450 400 (a) Describe the type 350 of correlation shown. 300 250 200 150 100 0 1 (b) Use the line of best fit to estimate the number of ice creams sold on a day when there is 3 hours of sunshine. 2 3 4 5 6 7 8 9 10 Hours of Sunshine (a) As one quantity increases so does the other. Back to board (a) positive (b) 205