Student's Resources
New Discovering Mathematics
Book Chapter Page Type Title
1A14Coding Write a Code to Check if a Given Number is a Prime Number
1A235Coding Write a Code to Sort the Numbers in Ascending Order
1A262Coding Create a Flow Chart I
1A4120Coding Create a Flow Chart II
1A6158Activity Investigate Properties of Angles Formed by Two Parallel Lines and a Transversal
1A7169Activity Explore Some Properties of Triangles
1A7173Activity Explore the Property of an Exterior Angle of a Triangle
1A7180Activity Investigate the Properties of a Parallelogram
1A7182Activity Investigate the Properties of Rectangles, Squares, Rhombuses, Trapeziums and Kites
1A7194Activity Investigate the Sum of the Exterior Angles of a Polygon
1B11103Activity Explore How the Graph of y = mx + c Changes When Either m or c Varies
1B11107Coding Draw a Flowchart to Help Choose Between Using Company A and Company B With an Input Distance of x km
2A223Activity Explore the Relationship Between the Solutions of the Equation ax + by = c and Points on Its Graph
2A230Activity Explore the Connection Between the Solution of a Pair of Simultaneous Equations and the Point of Intersection of Their Graphs
2A389Coding Express a Quadratic Expression x^2 + bx + c in Factorised Form
2A5131Activity Explore How the Graph of y = ax^2 + bx + c Changes When Either a or c Varies
2A7195Activity Explore the Relationship Between the Shapes and Sizes of an Object and Its Image Under a Reflection
2A7196Activity Explore the Relationship Between the Shapes and Sizes of an Object and Its Image Under a Translation
2A7197Activity Explore the Relationship Between an Object and Its Image Under a Rotation
2A7206Activity Explore the Properties of Similar Triangles
2B82Activity Explore the Relationship Between a Right-angled Triangle and the Lengths of Its Three Sides
2B88Activity Check Whether a Triangle Is a Right-angled Triangle Using the Lengths of Its Sides
2B88Coding Draw a Flowchart to Find All the Pythagorean Triples (a, b, c) Where a < b < c and c \leq 20
2B926Activity Explore the Relationships Between Two Sides and an Acute Angle of a Right-angled Triangle
2B12143Coding Draw a Flowchart to Find the Median of a Given Data Set
2B12148Coding Draw a Flowchart to Find the Mode of a Given Data Set
2B13162Activity Discuss and Compare the Experimental and Theoretical Approaches to Finding the Probability of an Event With the Aid of Computer Simulation
2B13174Coding Draw a Flowchart to Find P(n)
3A137Activity To explore the characteristics of the quadratic functions y = (x-p)(x-q) and y = -(x-p)(x-q) where p and q are constants. (Question 1)
3A138Activity To explore the characteristics of the quadratic functions y = (x-p)(x-q) and y = -(x-p)(x-q) where p and q are constants. (Question 2)
3A142Activity To explore the characteristics of the quadratic functions y = (x-h)^2 + k and y = -(x-h)^2 + k where h and k are constants. (Question 1)
3A142Activity To explore the characteristics of the quadratic functions y = (x-h)^2 + k and y = -(x-h)^2 + k where h and k are constants. (Question 2)
3A144Coding Write a code or draw a flowchart about the graph y = ax^2 + bx + c.
3A4119Activity To find the gradient of a line given the coordinates of any two points on it.
3A5153Activity To explore the characteristics of the graph y = ax^3.
3A5155Activity To explore the characteristics of the graph y = \frac{a}{x}.
3A5158Activity To explore the characteristics of the graph y = \frac{a}{x^2}.
3A6230Activity To investigate the condition for similarity which involves two angles of a triangle.
3A6233Activity To investigate the condition for similarity which involves three sides of a triangle.
3A6235Activity To investigate the condition for similarity which involves two sides and included angle of a triangle.
3A6263Activity To investigate and deduce the properties of the perpendicular bisector of a line segment.
3A6265Activity To investigate and deduce the properties of the angle bisector.
3B726Coding Write a code or draw a flowchart to give the output \angle ACB in radians and the area of a triangle ACB in a coordinate plane, where the inputs are the coordinates of A, B and C.
3B999Coding Let G(a, b) and H(c, d) be the centres of two circles on a Cartesian plane and r and R be the radii of the circles. Write a code or draw a flow chart to decide if the two circles intersect with each other.
3B976Activity To investigate the relationship between the arc length and the circumference of a circle.
3B983Activity To investigate the relationship between the sector area and the area of a circle.
3B10120Activity To investigate the relationship between the angle at centre and angle at circumference in a circle.
3B10124Activity To investigate the property of an angle in a semicircle.
3B10129Activity To investigate the property of angles in the same segment.
3B10132Activity To investigate the property of angles in opposite segments.
3B10142Activity To find the properties of the tangents to a circle from an external point.
4A123Coding Write a code or draw a flowchart to find the elements of A ∩ B and the value of n(A ∩ B). The inputs are the elements of A and of B.
4A253Coding Write a code or draw a flowchart to find the interquartile range of a data set.
4A286Activity To investigate how the statistical measures of a data set behave when each data point is changed by the value k.
4B512Coding Draw a flowchart or write a code to translate a triangle ABC to a triangle DEF by the vector \overrightarrow{PQ}.


New Discovering Mathematics (Normal Academic)
Book Chapter Page Type Title
1A15Coding Write a Code to Check if a Given Number is a Prime Number
1A272Coding Create a Flow Chart I
1A4132Coding Create a Flow Chart II
1A6173Activity Investigate Properties of Angles Formed by Two Parallel Lines and a Transversal
1A6181Activity Investigate Properties of Isosceles Triangles
1A6182Activity Explore Some Properties of Triangles
1A6185Activity Explore Property of an Exterior Angle of a Triangle
2A252Activity Explore How the Graph of y = ax^2 + bx + c Changes When Either a or c Varies
2A366Activity Explore the Relationship Between the Solutions of the Equation ax + by = c and Points on Its Graph
2A374Activity Explore the Connection Between the Solution of a Pair of Simultaneous Equations and the Point of Intersection of Their Graphs
2A4138Coding Express a Quadratic Expression x^2 + bx + 60, in Factorised Form or Indicate That It Cannot Be Factorised
2A7200Activity Investigate the Properties of a Parallelogram
2A7202Activity Investigate the Properties of Rectangles, Squares, Rhombuses, Trapeziums and Kites
2A7214Activity Investigate the Sum of the Exterior Angles of a Polygon
2B87Activity Explore the Relationship Between the Shapes and Sizes of an Object and Its Image Under a Reflection
2B88Activity Explore the Relationship Between the Shapes and Sizes of an Object and Its Image Under a Translation
2B810Activity Explore the Relationship Between an Object and Its Image Under a Rotation
2B819Activity Explore the Properties of Similar Triangles
2B943Activity Explore the Relationship Between the Lengths of the Sides of a Right-Angled Triangle
2B948Activity Check Whether a Triangle Is a Right-Angled Triangle Using the Lengths of Its Sides
2B948Coding Draw a Flowchart to Find All the Pythagorean Triples (a, b, c) Where a < b < c and c \leq 20
2B12159Coding Draw a Flowchart to Find the Median of a Given Data Set
2B12164Coding Draw a Flowchart to Find the Mode of a Given Data Set
2B13179Activity Discuss and Compare the Experimental and Theoretical Approaches to Finding the Probability of an Event With the Aid of Computer Simulation
2B13191Coding Draw a Flowchart to Find P(n)
3A252Coding Write a code or draw a flowchart to solve the quadratic equation ax^2 + bx + c = 0, where the inputs are a, b and c.
3A372Activity To explore how the graph of y = ax^2 + bx + c changes when either a or c varies.
3A4149Coding Write a code or draw a flowchart to find the minimum number of years, n, for a sum of money to be doubled when deposited in a bank with interest rate of r% p.a. compounded yearly.
3A5176Activity To deduce the properties of perpendicular bisector of a line segment using congruent triangles.
3A5179Activity To investigate and deduce the properties of the angle bisector.
3B64Activity To find the gradient of a line given the coordinates of any two points on it.
3B612Coding Write a code or draw a flowchart to find the coordinates where the line AB cuts the x-axis and y-axis.
3B736Activity To explore the charactertistics of the graph of y = ax^3.
3B738Activity To explore the charactertistics of the graph of y = \frac{a}{x}.
3B741Activity To explore the charactertistics of the graph of y = \frac{a}{x^2}.
3B8115Activity To explore the relationship betweeen two sides and an acute angle of a right-angled triangle.
4A17Coding Write a code or draw a flowchart to find the bearing of B from A, when the bearing of A from B is given.
4A127Activity 3D Box.
4A245Activity To investigate the relationship between the arc length and the circumference of a circle.
4A254Activity To investigate the relationship between the sector area and the area of a circle.
4A266Coding Draw a flowchart or write a code to convert an angle from degrees to radians, or from radians to degrees.
4A3109Coding Write a code or draw a flowchart to find the interquartile range of a data set with 9 data points.
4A3132Activity To investigate how the statistical measures of a data set behave when each data point is changed by the value k.
4B511Activity To investigate the relationship between the angle at centre and angle at circumference in a circle.
4B515Activity To investigate the property of an angle in a semicircle.
4B521Activity To investigate the property of angles in the same segment.
4B524Activity To investigate the property of angles in opposite segments.
4B533Activity To find the properties of the tangents to a circle from an external point.