Angles minutes. 30 marks. Page 1 of 24
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1 Angles minutes 30 marks Page of 24
2 Q. Here is the start of a spiral sequence of right-angled triangles. Draw accurately the next right-angled triangle on the diagram. You may use an angle measurer. 2 marks Use an angle measurer to find the size of angle A. Page 2 of 24
3 Q2. On the grid below, use a ruler to draw a pentagon that has three right angles. Q3. This is a design for an arrowhead. Below is part of a larger scale drawing of the arrowhead. The drawing has the same size angles as the design. Page 3 of 24
4 Draw two more lines to complete the arrowhead accurately. Use an angle measurer (protractor). 2 marks Page 4 of 24
5 Q4. Here is a shaded shape on a grid made of squares. Draw the line of symmetry of the shaded shape. You may use a mirror or tracing paper. What fraction of the area of the grid is shaded? Measure angle x in degrees. Use an angle measurer (protractor). Page 5 of 24
6 Q5. Here is a dial. The pointer on this dial turns in a clockwise direction. The pointer is at 0. Which number does it point to after a turn of 270? The pointer moves from 0 to. How many degrees does it turn through? Q6. Here is a sketch of a triangle. It is not drawn to scale. Page 6 of 24
7 Draw the full size triangle accurately, below. Use an angle measurer (protractor) and a ruler. One line has been done for you. 2 marks Q7. Here is a diagram for sorting shapes. One of the shapes is in the wrong place. Put a cross ( ) on it. Page 7 of 24
8 Q8. This regular 2-sided shape has a number at each vertex. Ben turns the pointer from zero, clockwise through 50 Which number will the pointer now be at? Nisha turns the pointer clockwise from number 2 to number Through how many degrees does the pointer turn? Page 8 of 24
9 Q9. Not to scale Calculate the size of angle y in this diagram. Do not use a protractor (angle measurer). y = Q0. Look at this shape. Tick ( ) each angle that is less than a right angle. Page 9 of 24
10 Q. Here are five shaded triangles on a square grid. Write the letter of each triangle that has a right angle.... Write the letter of each triangle that has two equal sides.... Page 0 of 24
11 Q2. Here is a grid of dots. Point A and point B are joined by a straight line. Draw a line to join point A to another dot on the grid so that the two lines make a right angle. Use a ruler. Page of 24
12 Q3. This diagram has four angles marked A, B, C and D. Write the letters of the angles that are obtuse angles.... Page 2 of 24
13 Q4. Here is a sketch of a quadrilateral. It is not drawn to scale. Draw the full-size quadrilateral accurately below. Use a protractor (angle measurer) and a ruler. Two of the lines have been drawn for you. 2 marks Page 3 of 24
14 Q5. The diagram shows four lines drawn on a square grid. The lines are AB, BC, CD and DA. Which two of the lines are parallel? Circle them in the list below. AB BC CD DA Which two of the lines are perpendicular? Circle them in the list below. AB BC CD DA Q6. This diagram shows a square with dots at the vertices and at the middle of each side. The square is divided into four triangles, A, B, C and D. Page 4 of 24
15 Write the letters of all the triangles that have a right angle.... Write the letters of all the triangles that have two equal sides.... Q7. Calculate the size of angle p in the diagram. Do not use a protractor (angle measurer). 2 marks Page 5 of 24
16 M. (a) See diagram below. Award TWO marks for triangle vertex on or within inner boundary. Award ONE mark for triangle vertex between boundaries or on outer boundary. No marks awarded for triangle vertex outside outer boundary. No marks are awarded for incomplete triangles or triangles not attached to main diagram, even if vertex is within prescribed boundaries. Up to 2 (b) An answer in the range 23 to 27 inclusive. Answer need not be a whole number. [3] M2. Any pentagon which has three right angles, eg The shape need not follow grid lines. Allow slight inaccuracies in drawing, provided the intention is clear [] Page 6 of 24
17 M3. Markers will use an acetate overlay of this page to mark children s answers to this question. Award TWO marks for completed diagrams which have BOTH angles in the range 39 to 4 inclusive, ie all lines drawn within the inner boundary on the above diagram. If this is not the case, award ONE mark for diagrams which have BOTH angles in the range 38 to 42 inclusive, ie all lines within the wider boundary on the above diagram. The diagram need not be completed. Accept slight errors in the completion of the diagram, provided the intention is clear, eg if the lines meeting at the tip of the arrow are slightly too long or too short. [2] Page 7 of 24
18 M4. (a) Line of symmetry drawn as shown. The length of the line is unimportant, provided the intention is clear. Accept slight inaccuracies in drawing provided the intention is clear. (b) / 5 OR 0.2 OR 20% 5 Accept equivalent fractions, eg / 25 (c) Answer in the range of 40 to 46 inclusive. [3] M5. (a) 9 (b) 30 [2] M6. Markers will use a transparent overlay of this page to mark children s answers to this question. Page 8 of 24
19 Award TWO marks for an angle in the range 47 ; to 49 ; inclusive AND a sloping line in the range 6.9 to 7. cm inclusive (ie upper vertex of triangle within inner box on diagram) AND a completed triangle. Do not penalise diagrams where any side has been extended past a vertex. Accept drawings which do not use the given 0cm base line, provided they have used a line with a length in the range 9.9 to 0.cm inclusive. If the answer is incorrect, award ONE mark for an angle in the range 46 ; to 50 ; inclusive AND sloping line in the range 6.8 to 7.2cm inclusive (ie upper vertex of triangle within larger box on diagram). Diagram need not be complete. Drawings not using the given 0cm base line, which have a base line outside the range 9.9 to 0.cm are awarded ONE mark provided they have an angle in the range 47 to 49 inclusive AND a sloping line in the range 6.9 to 7.cm inclusive. up to 2 [2] M7. One shape crossed as shown: Do not award the mark if additional incorrect shapes are indicated. Accept alternative unambiguous indications of the correct shape, eg shape ticked or circled. [] Page 9 of 24
20 M8. (a) 5 (b) 270 Accept any answer that is 270 greater than a multiple of 360 If the answer for (a) is 7 AND the answer for (b) is 90, award ONE mark only for (b). [2] M9. 25 [] M0. Two angles ticked as shown: Do not award the mark if additional incorrect angles are ticked. Accept alternative unambiguous indications of the correct angles, eg angles circled. [] M. (a) C AND D Letters may be given in either order. (b) A AND D Letters may be given in either order. [2] Page 20 of 24
21 M2. Line drawn from A to one of the two dots marked as shown: OR Accept slight inaccuracies in drawing [] M3. A AND D Letters may be given in either order. [] Page 2 of 24
22 M4. Markers will use a transparent overlay of this page to mark pupils answers to this question. Award TWO marks for a quadrilateral drawn with an angle in the range 73 to 77 inclusive AND length of sloping line in the range 9.cm to 9.3cm inclusive (ie upper vertex of quadrilateral within inner box on diagram). If the answer is incorrect, award ONE mark for: a completed quadrilateral drawn with an angle in the range 73 to 77 inclusive OR a completed quadrilateral drawn with an angle in the range 72 to 78 inclusive AND length of sloping line in the range 9.0cm to 9.4cm inclusive. Accept drawings where any side has been extended past a vertex. Accept drawings which do not use the given 8cm base line, provided they have used a line with a length in the range 7.8cm to 8.2cm inclusive. Accept for ONE mark drawings not using the given 8cm base line which have a base line outside the range 7.8cm to 8.2cm, provided they have an angle in the range 73 to 77 inclusive AND a sloping line in the range 9.cm to 9.3cm inclusive. Accept for ONE mark drawings of incomplete quadrilaterals, provided they have an angle in the range 73 to 77 inclusive AND a sloping line in the range 9.cm to 9.3cm inclusive. Up to 2 [2] Page 22 of 24
23 M5. (a) Accept alternative unambiguous indications of the correct lines. (b) Accept alternative unambiguous indications of the correct lines. [2] M6. (a) A AND B AND D Letters may be given in any order. (b) A AND C Letters may be given in any order. [2] M7. Award TWO marks for correct answer of 70 Up to 2 If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg: = OR Answer need not be obtained for the award of ONE mark. Up to 2 [2] Page 23 of 24
24 Page 24 of 24
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