# 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)

# 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.

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.

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:

1.2.1 Directed Numbers, PT3 Practice 2
Question 6:
Calculate the value of
$1-\left(-2+7×0.15\right)÷2\frac{1}{2}$

Solution:
$\begin{array}{l}1-\left(-2+7×0.15\right)÷2\frac{1}{2}\\ =1-\left(-2+1.05\right)×\frac{2}{5}\\ =1-\left(-0.95\right)×\frac{2}{5}\\ =1-\left(-0.38\right)\\ =1.38\end{array}$

Question 7:
Calculate the value of  $1\frac{1}{8}×\left(\frac{4}{5}-\frac{2}{3}\right)$  and express the answer as a fraction in its lowest terms.

Solution:
$\begin{array}{l}1\frac{1}{8}×\left(\frac{4}{5}-\frac{2}{3}\right)\\ =1\frac{1}{8}×\left(\frac{12}{15}-\frac{10}{15}\right)\\ =\frac{{\overline{)9}}^{3}}{{\overline{)8}}_{4}}×\frac{{\overline{)2}}^{1}}{{\overline{)15}}_{5}}\\ =\frac{3}{20}\end{array}$

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 $\otimes$  the intersection of the locus of X and the locus of Y.

(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 $\otimes$  the intersection of the locus of W and the locus of X.