name ____________________________1 teacher ____________________________ date ____________________________ constructions AfL test You can sketch a range of common 2-D shapes. Draw a square Draw a triangle Draw a rectangle Level 2b You can use a ruler to draw straight lines and right angles. Draw a square using a ruler and a sharp pencil. Make it 5cm along each edge. Level 2a Make it as accurate as you can. You can use a set-square or protractor to help you if you like. constructions AfL question bank Jan 2012 P. Capewell, EPCHS, mathsurgery.wikispaces.com 2 You can use a ruler to draw angles bigger or smaller than ones given. Level 3c a Draw an angle bigger than this one. Use a ruler. b Draw an angle smaller than this one. Use a ruler. c Draw an angle that is between the sizes of these two angles: Use a ruler. You can draw lines accurate to the nearest millimetre. Draw a rectangle that is 5.6cm wide and 37mm tall. Level 3b You must use a ruler and a sharp pencil. constructions AfL question bank Jan 2012 P. Capewell, EPCHS, mathsurgery.wikispaces.com 3 You can draw angles correct to 5°. Draw an angle of 45° Draw an angle of 78° Draw an angle of 137° Level 3a You can draw circles and arcs of a given radius to the nearest millimetre. Level 4c Draw three circles using a sharp pencil and a pair of compasses. Make one with radius 6cm centre A. Make the second radius 12mm centre B. Make the third radius 1.8cm centre C. B C A constructions AfL question bank Jan 2012 P. Capewell, EPCHS, mathsurgery.wikispaces.com 4 You can measure angles to the nearest degree and construct triangles given two lengths and the angle between them or two angles and the length between them. Level 4b Here is a sketch of a triangle: 63° 27° 9cm Construct the triangle accurately using a sharp pencil, ruler and protractor. You can use standard ways of labelling lines, angles and shapes to label drawings and interpret instructions. Triangle PQR has side PQ = 5.2cm, side PR = 6cm and angle RPQ = 30°. Level 4a Finish labelling this sketch of the triangle: P constructions AfL question bank Jan 2012 P. Capewell, EPCHS, mathsurgery.wikispaces.com 5 You can draw a triangle using a ruler and compasses given three lengths. Level 5c Triangle JKL has side JK = 7cm, side KL = 55mm and side JL = 9cm. Complete the sketch. Construct the triangle accurately using a sharp pencil, ruler and a pair of compasses. You can use a straight edge and compasses to find a perpendicular bisector to a line segment. Use a straight edge and compasses to construct a perpendicular bisector to line segment AB. Level 5b Leave your construction lines. You will not get any marks if there is no evidence of using compasses correctly to do this. A constructions AfL question bank B Jan 2012 P. Capewell, EPCHS, mathsurgery.wikispaces.com 6 You can use a straight edge and compasses to find an angle bisector. Level 5a Use a straight edge and compasses to construct an angle bisector for angle PQR. You are warned that PQ QR. Leave your construction lines. You will not get any marks if there is no evidence of using compasses correctly to do this. R P Q You can use a straight edge and compasses to find perpendicular from a point to a line or from a point on a line. Use a straight edge and compasses to construct a perpendicular to JK through point L. Level 6c Leave your construction lines. You will not get any marks if there is no evidence of using compasses correctly to do this. L J constructions AfL question bank K Jan 2012 P. Capewell, EPCHS, mathsurgery.wikispaces.com 7 You can use a straight edge and compasses to construct a triangle give a right angle, hypotenuse and side. Here is a sketch of a triangle: Level 6b Z 12cm X Y 10cm Construct the triangle accurately using a straight edge and compasses. Leave your construction lines. You will not get any marks if there is no evidence of using compasses correctly to do this. constructions AfL question bank Jan 2012 P. Capewell, EPCHS, mathsurgery.wikispaces.com 8 You can construct complex combinations of shapes such as nets for prisms and pyramids. Here is a sketch of a square-based pyramid. Each triangular face is an equilateral triangle. Level 6a 4cm 4cm 4cm Construct the net for this pyramid accurately using a straight edge and compasses. Leave your construction lines. constructions AfL question bank Jan 2012 P. Capewell, EPCHS, mathsurgery.wikispaces.com 9 Level 2b I can sketch pictures of a range of common 2-D shapes including triangle, rectangle, square, etc. 2a I can draw approximate right angles and straight lines. 3c I can draw an angle that is larger or smaller than a given angle (less than 180°), or between two others (both less than 180°). 3b I can draw lines correct to the nearest mm, even when given a length such as 5.6cm or 5cm 6mm. 3a I can draw an angle correct to within 5° perhaps using a special simple angle measurer (protractor). 4c I can use a pair of compasses to draw circles and arcs of a given radius and these are accurate to the nearest mm. 4b I can draw an angle to within 1°. I can construct triangles given two lengths and the angle between them or two angles and the length between them. 4a I can use standard ways of labelling lines, angles and shapes to label my drawings and interpret instructions: e.g. draw line PQ length 5.6cm, <ABC = 60°. 5c I can draw a triangle using a ruler and compasses given the three lengths. 5b I can use a straight edge and compasses to find a ‘perpendicular bisector’ to a ‘line segment’ and I know what these words mean. 5a I can use a straight edge and compasses to find an ‘angle bisector’ and I know what this means. 6c I can use a straight edge and compasses to find a perpendicular from a point to a line and to find a perpendicular from a point on a line. 6b I can use a straight edge and compasses to construct a right angled triangle given right angle, hypotenuse and side. 6a I can construct more complicated arrangements of shapes such as nets of prisms and pyramids. 7c I can understand the link between locus and construction and use congruence and other angle properties to explain why standard constructions work. 7b I can construct inscribed circles and circumcircles to triangles I’ve constructed; I can say when the data for a triangle are insufficient to make a unique triangle. 7a I can creatively invent constructions and prove that more complex constructions produce their intended results. constructions AfL question bank Jan 2012 P. Capewell, EPCHS, mathsurgery.wikispaces.com