Question
(a) Complete the table of values for \(y = x^2 – x + 2\).
(b) On the grid, draw the graph of \(y = x^2 – x + 2\) and \(-3 \leq x \leq 4\).
(c) Write down the equation of the line of symmetry of the graph.
(d) (i) On the grid, draw the line y = 9 .
(ii) Solve the equation \(x^2 – x + 2 = 9\).
Answer/Explanation
Answer:
(a) 14, 4, 2, 8, 14
(b) 8 points correctly plotted
Smooth and correct curve through all
correct points
(c) x = 0.5 or x = \(\frac{1}{2}\)
(d) (i) y = 9 ruled
(ii) –2.15 to –2.25
3.15 to 3.25
Question
(a) The diagram shows the position of town A and town B, on a map.
(i) Measure the length, in millimetres, of the line AB.
(ii) Measure the bearing of town B from town A.
(b) A triangular fi eld has sides of length 550m, 300m and 400m.
(i) Construct the triangle, using a ruler and compasses only.
Use a scale of 1 cm to represent 50m.
The side of length 550m has been drawn for you.
(ii) By making a suitable measurement on your diagram, calculate the area of the fi eld.
Give your answer in square metres.
Answer/Explanation
Answer:
(a) (i) 44 – 46
(ii) 231 – 235
(b) (i) Fully correct drawing with arcs
52250 to 60500 nfww
Question
Complete part (a) and part (b) using a straight edge and compasses only.
Show all your construction arcs.
(a) Construct the locus of points that are equidistant from the points X and Y.
(b) (i) Construct the locus of points that are equidistant from line AB and line AC.
(ii) Shade the region, inside the triangle, which is closer to AB than to AC.
(c) Complete this part using a ruler and compasses only.
Show all your construction arcs.
Construct the locus of points that are 4cm from the line MN.
Answer/Explanation
Ans:
(a) correct perpendicular bisector
drawn with 2 pairs of arcs
(b) (i) correct angle bisector drawn
with 2 pairs of arcs
(ii) correct region shaded
(c) correct loci drawn