# Selected Learning Outcomes for Primary 6 Math Papers (2013)

Student should be able to calculate the initial ratio of the amount of water in X bucket to the amount of water in Y bucket, given that a fraction of water was poured out from X to Y and after that another fraction of water from Y to X.

There are two tanks, one full of water with drainage outlet and another empty with tap to fill. The length, breadth, height of two tanks and the fill rate and drain rate are given. Students should be able to calculate the time taken for both water levels to be the same.

Pupils are required to find the total number of students in the class, when given the histogram of number of students with various amount of pocket money. They are also expected to calculate the percentage of students whose pocket money is within a certain range.

Students will be asked to calculate the distance a car can travel if the petrol consumption rate, cost per litre of petrol and full tank petrol cost are given.

Students should be able to find out the number of pupils who were at the party at first, assuming there were equal number of boys and girls, a fraction of boys and certain number of girls left the party and there were known number of children left behind.

A rectangle with 4 different size triangles is shown, with areas of 2 triangles specified and ratio of length one triangle versus the length of another triangle given. With this information, students should be able to find the area of the third triangle.

An isosceles triangle with known apex angle intersects an equilateral triangle. Students are required to find out the sum of the 4 base angles.

Michael had some red and white stickers. The number of red stickers was twice that of white stickers. After he gave away a specified number of red stickers and white stickers, a given fraction of the stickers left were red. Students should demonstrate ability to find the total number of stickers Michael had at first.

3 ratios of shaded region to unshaded region in 3 figures of various numbers of smaller semicircles within a large semicircle are given. Students are expected to find the area of shaded region and area of unshaded region.

When the small and large semicircles were rearranged. Students are required to find the size of the shaded area.

Certain percentage of John’s stamp is equal to another percentage of Valerie’s stamps. A specified percentage of John’s stamp is equivalent to another specified percentage of John and Valerie’s stamps. Given that John and Katherine had a total of an indicated number, students should be able to find the number of stamps that Valerie had.

A cardboard box measuring a given length, breadth and height, has been unfolded and cut into 6 rectangles representing its 6 sides. Henrietta cut 10 cm squares from each of the 6 pieces of cardboard. Students are required to find out the maximum number of squares that Helen can get.

P613 TN