Onlinetuition.com Mathematics – Form 1, 2 & 3
Question 11: Diagram below shows the route of a Negaraku Run. The route of male participants is PQUT while the route for female participants is QRST. QR is parallel to UT whereas UQ is parallel to SR. (a) Given the distance between point Q and point R is 9 km, state the coordinates of point … Read more
Question 9: In diagram below, ABC is an isosceles triangle. Find (a) the value of k, (b) the length of BC. Solution: ( a ) For an isosceles triangle, y−coordinate of C is the midpoint of straight line AB. 2+k 2 =−3 2+k=−6 k=−8 ( b ) B=( −2,−8 ) BC= [ 10−( −2 ) ] 2 + [ −3−( −8 ) ] 2 = 12 2 … Read more
Question 7: Diagram shows a straight line PQ on a Cartesian plane. Calculate the length, in unit, of PQ. Solution: PS = 15 – 3 = 12 units SQ = 8 – 3 = 5 units By Pythagoras’ theorem, PQ2 = PS2 + SQ2 = 122+ 52 PQ = √169 = 13 units Question 8: The diagram … Read more
Question 4: The point M (x, 4), is the midpoint of the line joining straight line Q (-2, -3) and R (14, y). The value of x and y are Solution: x= −2+14 2 x= 12 2 x=6 4= −3+y 2 8=−3+y y=11 Question 5: In diagram below, PQR is a right-angled triangle. The sides … Read more
5.2.1 Coordinates, PT3 Focus Practice Question 1: In diagram below, Q is the midpoint of the straight line PR. The value of m is Solution: 2 + m 2 = 5 2 + m = 10 m = 8 Question 2: In diagram below, P and Q are points on a Cartesian plane. If … Read more
7.1.2 Scales for the Coordinate Axes 1. The scale for an axis is the number of units represented by a specific length along the axes. 2. The scale on a coordinate is usually written in the form of a ratio. Example: A scale of 1 : 2 means one unit on the graph represents 2 units of … Read more
7.1 Coordinates 7.1.1 Coordinates 1. The Cartesian coordinate system is a number plane with a horizontal line (x-axis) drawn at right angles to a vertical line (y-axis), intersecting at a point called origin. 2. It is used to locate the position of a point in reference to the x-axis and y-axis. 3. The coordinate of any point are … Read more