Secondary 2 topics, working towards the O-Level Mathematics 4052 syllabus. Every question below has a full worked solution.
When a student gets a question wrong in Math Amigo, it does not show the answer straight away. It
reads the working, identifies the step that went wrong, and asks a question that points at the
correction. The worked solution is there once a genuine attempt has been made.
A drawer contains 4 orange, 7 white and 6 red socks. A sock is drawn at random. Find the probability of drawing a sock that is not red. Give your answer as a fraction in its simplest form.
Show the worked solution
$\text{Total number of socks} = 4 + 7 + 6$
$= 17$
$\text{Number of favourable outcomes (not red)} = 11$
$P(\text{not red}) = \frac{11}{17}$
$= \frac{11}{17}$
Answer: 11/17
Example 2
A circle is divided into sectors of different colours. The angles of the grey, white, green sectors are 270°, 30°, 30° respectively. Find the angle of the red sector.
Show the worked solution
$\text{Sum of known angles} = 270° + 30° + 30°$
$= 330°$
$\text{Angle of red sector} = 360° - 330°$
$= 30°$
Answer: 30
Example 3
A box contains <i>x</i> red marbles, (x+4) orange marbles and 9 green marbles. A marble is drawn at random. The probability of drawing an orange marble is 73. Find the value of <i>x</i>.
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Which syllabus does this follow?
O-Level Mathematics (4052), for Singapore secondary students. Math Amigo covers Secondary 1 to 4, both O-Level Mathematics and Additional Mathematics.
Will it just show my child the answer?
No. On a wrong answer it looks at the working, points to the step that went wrong, and asks a question that helps the student find the correction. The full worked solution is available after a genuine attempt.