Form 2

01 Directed Numbers
  1. Short Notes
  2. PT3 Focus Practice (with Solution)

02 Squares, Square Roots, Cubes and Cube Roots

  1. Short Notes
  2. PT3 Focus Practice (with Solution)

03 Algebraic Expressions (II)

  1. Short Notes
  2. PT3 Focus Practice (with Solution)


04 Linear Equations (I)

  1. Short Notes
  2. PT3 Focus Practice (with Solution)




05 Ratios, Rates and Proportions (I)

  1. Short Notes
  2. PT3 Focus Practice (with Solution)


06 Pythagoras' Theorem

  1. Short Notes
  2. PT3 Focus Practice (with Solution)



07 Geometrical Constructions

  1. Short Notes
  2. PT3 Focus Practice (with Solution)


08 Coordinates

  1. Short Notes
  2. PT3 Focus Practice (with Solution)


09 Loci in Two Dimensions

  1. Short Notes
  2. PT3 Focus Practice (with Solution)


10 Circles (I)

  1. Short Notes
  2. PT3 Focus Practice (with Solution)


11 Transformations (I)

  1. Short Notes
  2. PT3 Focus Practice (with Solution)


12 Solid Geometry (II)

  1. Short Notes
  2. PT3 Focus Practice (with Solution)


13 Statistics (I)

  1. Short Notes
  2. PT3 Focus Practice (with Solution)


Form 3

01 Lines and Angles (II)

  1. Short Notes
  2. PT3 Focus Practice (with Solution)

02 Polygons (II)

  1. Short Notes
  2. PT3 Focus Practice (with Solution)

03 Circles (II)

  1. Short Notes
  2. PT3 Focus Practice (with Solution)

04 Statistics (II)

  1. Short Notes
  2. PT3 Focus Practice (with Solution)


05 Indices

  1. Short Notes
  2. PT3 Focus Practice (with Solution)

06 Algebraic Expression III

  1. Short Notes
  2. PT3 Focus Practice (with Solution)

07 Algebraic Formulae

  1. Short Notes
  2. PT3 Focus Practice (with Solution)

08 Solid Geometry III

  1. Short Notes
  2. PT3 Focus Practice (with Solution)

09 Scale Drawings

  1. Short Notes
  2. PT3 Focus Practice (with Solution)
    • Question 

10 Transformations II

  1. Short Notes
  2. PT3 Focus Practice (with Solution)

11 Linear Equations II

  1. Short Notes
  2. PT3 Focus Practice (with Solution)

12 Linear Inequalities

  1. Short Notes
  2. PT3 Focus Practice (with Solution)

13 Graphs of Functions

  1. Short Notes
  2. PT3 Focus Practice (with Solution)

14 Ratio, Rates and Proportions II

  1. Short Notes
  2. PT3 Focus Practice (with Solution)
    • Question 

15 Trigonometry

  1. Short Notes
  2. PT3 Focus Practice (with Solution)



13.2.1 Graphs of Functions, PT3 Focus Practice 2
Question 4:
Use graph paper to answer this question.
Table below shows the values of two variables, x and y, of a function.

x
–3
–2
–1
0
1
2
3
y
–19
–3
1
–1
–3
1
17

The x-axis and the y-axis are provided on the graph paper on the answer space.
(a)    By using a scale of 2 cm to 5 units, complete and label the y-axis.
(b)   Based on the table above, plot the points on the graph paper.
(c)    Hence, draw the graph of the function.

Answer:

Solution:





Question 5:
Use graph paper to answer this question.
Table below shows the values of two variables, x and y, of a function.

x
–4
–3
–2
–1
0
1
2
y
31
17
7
1
–1
1
7

The x-axis and the y-axis are provided on the graph paper on the answer space.
(a)    By using a scale of 2 cm to 5 units, complete and label the y-axis.
(b)   Based on the table above, plot the points on the graph paper.
(c)    Hence, draw the graph of the function.

Answer:


Solution:




3.2.1 Circles II, PT3 Practice 2
Question 5:
Diagram below shows a circle with centre O. POR is a straight line.
Find the value of x and of y.

Solution:
x=40×2   =80 y= 18080 2   =50



1.2.1 Directed Numbers, PT3 Practice 2
Question 6:
Calculate the value of
1( 2+7×0.15 )÷2 1 2   

Solution:
1( 2+7×0.15 )÷2 1 2 =1( 2+1.05 )× 2 5 =1( 0.95 )× 2 5 =1( 0.38 ) =1.38


Question 7:
Calculate the value of   1 1 8 ×( 4 5 2 3 )  and express the answer as a fraction in its lowest terms.

Solution:
1 1 8 ×( 4 5 2 3 ) =1 1 8 ×( 12 15 10 15 ) = 9 3 8 4 × 2 1 15 5 = 3 20



9.2 Loci in Two Dimensions, PT3 Focus Practice

Question 1:
Diagram below in the answer space shows a square PQRS with sides of 6 units drawn on a grid of equal squares with sides of 1 unit. W, X and Y are three moving points inside the square.
(a)    W is the point which moves such that it is always equidistant from point P and point R.
By using the letters in diagram, state the locus of W.
(b)   On the diagram, draw,
            (i)     the locus of the point X which moves such that it is always equidistant from the straight 
                   lines PQ and PS,
            (ii)   the locus of the point Y which moves such that its distance is constantly 2 units from point
                  K.
(c)    Hence, mark with the symbol  the intersection of the locus of X and the locus of Y.

Answer:
(b)(i),(ii)
Solution:
(a) QS

(b)(i),(ii)
(c)




Question 2:
Diagram in the answer space below, shows a regular pentagon PQRST. W, X and Y are moving points which move in the pentagon.
On the diagram,
(a)    draw the locus of the point W which moves such that it is always equidistant from point R and S.
(b)   Draw the locus of the point X which moves such that XR = RS.
(c)    Draw the locus of point Y which moves such that its distance is constantly 3 cm from the line SR.
(d)   Hence, mark with the symbol  the intersection of the locus of W and the locus of X.

Answer:
(a), (b), (c) and (d)
Solution:
(a), (b), (c) and (d)