vs Time No Revision By Great Maths Teaching Ideas Revision Revision Level 6 How well you remember something How well you remember something Revision Grids Time With Revision www.greatmathsteachingideas.com © 2012 All Rights Reserved Revision Grids Level 6 Welcome and thank you for downloading this Level 6 Revision Grids pack from Great Maths Teaching Ideas. These resources are to help pupils revise maths topics at level 6 in preparation for their assessments. The questions cover the whole curriculum at level 6. There are many ways in which you can use the revision grids in the classroom. You can use them just as straightforward worksheets for individual or pair work. Alternatively, they can be used as a ‘4 in a line’ game where pupils take it in turns to answer a question and if they get it right they put a coloured counter on the square. First to get 4 in a line wins. This can also work nicely as a whole-class starter or plenary if you have a projector and/or interactive whiteboard. If you want to promote collaboration and independent learning getting pupils to work in pairs with a textbook as a reference and then coming to you to see how many they have right is a good strategy. Only tell them how many they have right, not which ones so they have to go away and discuss it with other groups to work out where they have gone wrong and what they need to do to correct it. My inspiration for creating these Revision Grids came from the excellent blog MEDIAN by Don Steward. http://donsteward.blogspot.co.uk/ His blog is full of wonderful teaching resources and I can’t recommend it highly enough. Be sure to take a read. I hope you and your pupils have fun lessons with lots of learning using these Revision Grids. Drop me a line and let me know how you get on: [email protected] William Emeny www.greatmathsteachingideas.com © 2012 All Rights Reserved Revision Grids 1 Recurring decimals Use short division to convert this fraction to a recurring decimal 2 3 6 Fractions Give your answer as a fraction in its simplest form 1 4 11 2 Recurring decimals Write the fraction four ninths as a recurring decimal 7 Fractions Give your answer as a fraction in its simplest form + 3 8 Fractions Level 6 Sheet 1 1 3 12 3 Solve x(x + 3) = 125 using trial and improvement methods. Calculate x accurate to 1 d.p. The solution for x lies between 9 and 10 8 1 6 13 Fraction Give your answer as a fraction in its simplest form 2 5 Give your answer as a fraction in its simplest form X 4 6 2 3 ÷ 4 5 Fractions Give your answer as a fraction in its simplest form − 1 6 Fractions Trial and improvement 4 Fractions Give your answer as a fraction in its simplest form 2 7 9 Fractions Give your answer as a fraction in its simplest form + 4 7 5 6 Fractions Give your answer as a fraction in its simplest form + 3 5 5 10 Fractions Give your answer as a fraction in its simplest form 8 − 1 12 10 FDP 14 Decimal Percentage 0.23 3 FDP 15 Which is the smallest? 70% 3 10 2/11 0.125 0.4 − 2 6 2 9 X FDP Which is the largest? 2 3 35% 0.66 57% 7/5 16 Ratio Divide £30 in the ratio 2:3 17 Ratio Share £125 in the ratio 2:5:3 18 Proportion If 5 cans of beans costs £2.50. How much do 12 cans of bean cost? 19 Proportion 6 men take 6 days to build a brick wall. How long would it have taken 2 men to build the wall? 20 Trial and improvement Solve √x = 2.6 using trial and improvement methods. Calculate x accurate to 1 d.p. The solution for x lies between 6 and 7 www.greatmathsteachingideas.com © 2012 All Rights Reserved Revision Grids- Answers 1 2 0.6 (0.666666...) 6 3 7 11 4 x = 9.8 (to 1 d.p.) 0.4 (0.444444...) 5 8 12 16 5 6 £25 : £62.50 : £37.50 10 14 2 3 15 Decimal Percentage 23/100 0.23 23% 7/10 0.7 70% 2/11 1 2 17 30 13 17 £12 : £18 9 23 30 Fraction 5 6 7 8 1 6 4 15 Level 6 Sheet 1 3 10 0.1818... 18.1818...% 1/8 0.125 12.5% 7/5 1.4 140% 18 19 £6 2 3 20 18 days x = 6.8 (to 1 d.p.) www.greatmathsteachingideas.com © 2012 All Rights Reserved Revision Grids 1 6 11 16 Factorising 2 Factorising Level 6 Sheet 2 3 Factorising 4 Factorising 5 Solving equations Factorise Factorise Factorise Factorise Solve 3a + 6 4ab - 12abc 8x2 + 12xy 4x2y3 + 10xy2z - 6xyz 3a + 5 = 41 Solving equations 9 Solving equations 7 Solving equations 8 Solving equations Solve Solve Solve Solve 12 - 4a = 24 2(3b + 5) = 58 3y − 5 = 5y + 1 3(x + 5) = x − 1 5 Plotting graphs 12 Plotting graphs 13 Plotting graphs Plot the graph of Plot the graph of Plot the graph of y = 3x + 5 y = -2x − 8 y = x2 + 5 Gradients What is the gradient of the line joining coordinates (-2, 10) and (2, 2)? 17 y = mx + c The m value in y = mx + c tells us the .............. of the straight line 18 y = mx + c The c value in y = mx + c tells us ............... 14 Real life graphs A mobile phone tariff is £10 per month plus £0.20 a minute for calls. Plot a line graph of monthly cost vs minutes of calls used 19 Sequences What is the nth term rule of this sequence? 10 Conversion graphs Given that £10 = $16.11, construct a conversion graph and then use it to convert $9 into £ 15 Gradients Plot the coordinates (-2, 4) and (4, 7) on a graph and join them with a straight line. What is the gradient of the line? 20 Sequences Write the first 5 terms in the sequence -2n + 3 3, 8, 12, 18, 23.... www.greatmathsteachingideas.com © 2012 All Rights Reserved Revision Grids- Answers 1 2 3(a + 2) 6 3 7 a = -3 11 4 4x(2x + 3y) 4ab(1 - 3c) 8 b=8 12 Level 6 Sheet 2 5 2xy(2xy3 + 5yz 3z) 9 10 x = 10 y = -3 13 a = 12 £5.59 14 15 Monthly cost (£) 0.5 Minutes used 16 17 -2 18 Gradient The y intercept (where the line crosses the y axis) 19 20 5n - 2 1, -1, -3, -5, -7... www.greatmathsteachingideas.com © 2012 All Rights Reserved Revision Grids 1 3D views Draw the plan, front and side elevations of this shape 2 Level 6 Sheet 3 Angles in parallel lines What type of angles are shown and what is special about them? 3 Angles in parallel lines What type of angles are shown and what is special about them? 4 Angles in parallel lines 5 Angle facts Calculate angle a What type of angles are shown and what is special about them? a 65° 6 Angles in polygons Calculate the size of an interior angle in a regular hexagon 7 Angles in polygons Calculate the size of an exterior angle on a regular octagon 8 Angles in polygons What do all the interior angles in dodecagon add up to? 9 10 Area Area of this shape 4cm Area Area of this shape 3.5cm 5cm 6cm 5cm 11 Circles 12 Circumference? Circles Area? 13 Constructions Draw this diagram then construct the perpendicular bisector of the line 14 5cm Constructions Draw this diagram then construct the a perpendicular from point P to the line 15 Constructions Draw this diagram then construct the a perpendicular from point P on the line P 10cm 16 Constructions 8cm 17 Transformations Enlarge by scale factor 2, centre (0, 0) A 18 B Transformations Translate by 3 -4 A 19 B Transformations Rotate by 90° clockwise centre (1, 2) A 20 P B Transformations Reflect in the line y = x Draw an acute angle and then construct the angle bisector www.greatmathsteachingideas.com © 2012 All Rights Reserved Revision Grids- Answers 1 6 2 3 Alternate angles are equal Corresponding angles are equal 7 8 120° 11 Level 6 Sheet 3 45° 12 4 5 Co-interior angles add up to 180° 9 a = 50° 10 20cm2 1800° 13 12.5cm2 14 15 P 31.4cm to 1 d.p. 16 201.1cm2 to 1 d.p. 17 A 18 B A 19 B A P B 20 www.greatmathsteachingideas.com © 2012 All Rights Reserved Revision Grids 1 Surface area Calculate the surface area 2 Surface area Calculate the surface area 4cm 3cm 4cm 8cm 6 Two-way tables How many boys don’t have a pet? Pet No pet Total Boys 4 12 16 Girls 8 14 18 Total 12 26 34 11 Scatter graphs Plot a scatter graph of this information Height (cm) Arm length (cm) 16 Level 6 Sheet 4 5cm Two-way tables Complete this two-way table Green eyes Boys Girls Total 12 Brown eyes 12 Total 18 9 40 Scatter graphs Draw a line of best fit on this scatter graph Surface area 4 Calculate the surface area Calculate the volume 6cm Two-way tables There are 200 students in a school. 112 of the students are boys. All the students were asked if they preferred English or Maths lessons. 90 of the boys preferred Maths. 60 of the girls preferred English. How many students overall preferred Maths? 13 Scatter graphs Describe this type of correlation 9 2cm Grouping data Place this discrete data about numbers of bees seen each day into a grouped frequency table with class intervals of width 5: 3, 8, 12, 8, 9, 2, 2, 14, 9, 7, 1 14 Pie charts Draw a pie chart to show this information 4cm 6m 8 5 Volume 4m 3cm 9cm 7 3 Scatter graphs Describe this type of correlation Favourite fruit Banana Apple Orange Pear 10 Frequency 12 8 7 2 Grouping data Place this continuous data about plant heights into a grouped frequency table with class intervals of width 3: 2.2, 8.0, 3.1, 3.5, 7.4, 1.1, 11.9, 6.3, 10.5 15 Scatter graphs Describe this type of correlation 165 148 168 172 155 68 55 72 68 51 Scatter graphs Describe this type of correlation 17 Scatter graphs 18 Listing outcomes Describe this type of correlation A coin is flipped and a die is rolled at the same time. List all the possible outcomes 19 Sample spaces Draw a sample space diagram to show all the outcomes of rolling two dice and adding the scores 20 Sample spaces Two dice are rolled and the lower score is subtracted from the larger score. What is the probability of getting a result of 3? www.greatmathsteachingideas.com © 2012 All Rights Reserved Revision Grids- Answers 1 2 136 cm2 3 8 Green eyes Brown eyes Total Boys 12 6 18 Girls 13 9 22 Total 25 15 40 12 Arm length (cm) 11 5 131.9 (to 1 d.p.) 7 12 4 cm2 132 cm2 6 Level 6 Sheet 4 Banana Apple Orange Pear 48 cm3 9 10 N.o. bees Frequency 1-5 4 118 13 6-10 5 11-15 2 14 Strong, positive correlation Plant height h (cm) 0≤h<3 Frequency 2 3≤h<6 2 6≤h<9 3 9 ≤ h < 12 2 15 Weak, positive correlation No correlation Height (cm) 16 Weak, negative correlation 17 Strong, negative correlation 18 19 (H,1) (H,2) (H,3) (H,4) (H,5) (H,6) (T,1) (T,2) (T,3) (T,4) (T,5) (T,6) 1 2 3 4 5 6 20 1 2 3 4 5 6 7 2 3 4 5 6 7 8 3 4 5 6 7 8 9 4 5 6 5 6 7 6 7 8 7 8 9 8 9 10 9 10 11 10 11 12 6/36 (= 1/6) www.greatmathsteachingideas.com © 2012 All Rights Reserved Revision Grids- Design your own. Questions 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 www.greatmathsteachingideas.com © 2012 All Rights Reserved Revision Grids- Design your own. Answers 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 www.greatmathsteachingideas.com © 2012 All Rights Reserved
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