MATHEMATICS MID-TERM ASSIGNMENT.
SS1
1. Using a ruler and a pair of compasses only,
i.
Construct a quadrilateral PQRS such that /PQ/ = 7cm, <QPS = 600, /PS/ = 6.5cm,
<PQR = 1350 and /QS/=/QR/
ii.
the locus l1 of points equidistant from P and Q
iii.
the locus l2 of points equidistant from P and S
iv.
Label the point T where l1 and l2 intersect
v.
with centre T and radius /TP/, construct a circle l2
2.
Draw the graph of 𝑦 = 4𝑥2 +25 and 𝑦 = 3𝑥 + 2for
−3 ≤ 𝑥 ≤ 3. Use the graph(s) to:
i.
ii.
find the roots of the equation 𝑦 = 4𝑥2 +25 and 𝑦 = 3𝑥 + 2
ii. determine the line of symmetry of the curve 𝑦 = 4𝑥2 +25.