Q1
MCQ
2 marks
What is the missing number in the box below?
6 : 9 = ____ : 15
P5 Mathematics SA1 2021 — Catholic High
Source: Catholic High, 2021
This P5 Mathematics SA1 paper from Catholic High (2021) contains 13 questions worth 30 marks. Use it as a study reference for Mathematics topics typically tested at P5 level in Singapore schools.
Q2
MCQ
2 marks
A bag contained 210 buttons of two different colours. The ratio of the number of blue buttons to the number of red buttons was 2 : 5. Find the number of red buttons.
Q3
MCQ
2 marks
🖼 Visual
The solid below is made up of 1-cm cubes. Amy wants to form a new solid with a volume of 10 cm³. How many cubes must she remove from the solid below?
Q4
MCQ
2 marks
🖼 Visual
The figure ABDE below is made up of a square BCEF and two identical triangles ABF and CDE. BF = 6 cm and AF = 3 cm. Find the area of the figure ABDE.
Q5
Open-ended
2 marks
The ratio of the number of books to the number of pens is 2 : 5. The ratio of the number of erasers to the number of books is 3 : 7. What is the ratio of the number of pens to the number of erasers?
Q6
Open-ended
2 marks
🖼 Visual
The figure below shows a cuboid with a square base and a height of 6 cm. The side of the square base is half of its height. Find the volume of the cuboid.
Q7
Open-ended
2 marks
🖼 Visual
The shaded figure below is drawn on a square grid. Find the area of the shaded figure.
Q8
Structured
2 marks
🖼 Visual
The ratio of the number of sweets Asha had to the number of sweets Bala had was 3 : 4. The ratio of the number of sweets Bala had to the number of sweets Carl had was 2 : 3.
Each of the statements below is either true, false or not possible to tell from the information given. For each statement, put a (✓) to indicate your answer.
(a) Asha and Carl had the same number of sweets.
(b) After Bala gave half of his sweets to Carl, Carl had 4 times as many sweets as Bala.
Q9
Open-ended
2 marks
🖼 Visual
The following solid is made up of 10 unit cubes. Draw the front view and the side view of the solid.
Q10
Open-ended
2 marks
🖼 Visual
The solid below is made up of identical unit cubes. The edge of each cube is 2 cm. Find the volume of the solid.
Q11
Open-ended
3 marks
A piece of wire is bent to form a triangle. The sides of the triangle are in the ratio of 3 : 5 : 9. The difference between the longest side of the triangle and the shortest side of the triangle is 42 cm. Find the length of the wire used to form the triangle.
Q12
Open-ended
3 marks
🖼 Visual
A rectangular piece of paper ABCD was folded along line AE to form the shape below. The shaded area ABCEF is 27 cm². Find the area of the rectangular piece of paper ABCD when unfolded.
Q13
Structured
4 marks
🖼 Visual
The figure below is made up of two triangles ADB and CFE overlapping each other. BE is a straight line, AC = 7 cm and BD = 8 cm. The ratio of the area of triangle ADB to the area of triangle CFE is 1 : 3. The area of the shaded triangle CGD is 25 cm².
a) Find the area of triangle ADB.
b) Find the area of figure GFED.