Q1
MCQ
1 mark
Find the value of 72 hundreds and 16 ones.
P6 Mathematics SA2 2018 — Pei Hwa
Source: Pei Hwa, 2018
This P6 Mathematics SA2 paper from Pei Hwa (2018) covers measurement, money, area and perimeter, graphs and data, percentage and ratio across 47 questions worth 100 marks. Practise Mathematics the way it's tested at P6 level in Singapore, with step-by-step answers on LearnBuddy.
Q2
MCQ
1 mark
Which of the following is equal to 5 1/3 ?
Q3
MCQ
1 mark
Which one of the following numbers is nearest to 8?
Q4
MCQ
1 mark
Express 1 036 millilitres in litres.
Q5
MCQ
1 mark
🖼 Visual
The empty cuboid below measures 8 cm by 9 cm by 15 cm. Find the area of the shaded face.
Q6
MCQ
1 mark
🖼 Visual
The figure below shows a rhombus. Which of the following is true?
Q7
MCQ
1 mark
🖼 Visual
In the figure, ABC is a straight line. ∠DBE = 90° and ∠DBA = 29°. Find ∠EBC.
Q8
MCQ
1 mark
Find 2% of $2000.
Q9
MCQ
1 mark
In a class, there are 38 students. 28 of them are girls and the rest are boys. Find the ratio of the number of girls to the number of boys to the total number of students in the class.
Q10
MCQ
1 mark
🖼 Visual
The pie chart shows how Doris spent her money. How much did Doris spend on clothes?
Q11
MCQ
2 marks
🖼 Visual
Roy uses the four letters, C, A, R, E, to form a pattern. The first 16 letters are shown below. Which letter is in the 59th position? C A R E C A R E C A R E C A R E...
Q12
MCQ
2 marks
🖼 Visual
Find the perimeter of a 3/4-circle of radius 28 cm. (Take π = 22/7)
Q13
MCQ
2 marks
🖼 Visual
A restaurant opens daily for the time shown in the table below. Operating Hours: 11 00 – 14 30, 17 15 – 22 00. How many hours and minutes is the restaurant open each day?
Q14
MCQ
2 marks
🖼 Visual
In the figure below, MN and TP are straight lines. ∠MOP is twice the size of ∠MOT. Find ∠NOQ.
Q15
MCQ
2 marks
🖼 Visual
The line graph shows the number of burgers Mr Tan sold from Monday to Saturday. Each burger was sold at $4. How much more money did Mr Tan earn on Tuesday than on Thursday?
Q16
Open-ended
1 mark
Find the value of 12.3 – 0.99.
Q17
Open-ended
1 mark
🖼 Visual
What is the length of the sticker as shown in the figure below?
Q18
Open-ended
1 mark
Express 0.035 as a percentage.
Q19
Open-ended
1 mark
🖼 Visual
Name the solid formed by the following net.
Q20
Open-ended
1 mark
🖼 Visual
The bar graph below shows the number of durians Mr Tan sold from June to September. The total number of durians sold by Mr Tan from June to September was 200. How many durians were sold in July?
Q21
Open-ended
2 marks
Express 2 6/7 as a decimal. Give your answer to 2 decimal places.
Q22
Open-ended
2 marks
🖼 Visual
The table below shows the postage rate for mail at a post office. How much does Jack have to pay if his parcel weighs 67 g? Mass Step: First 30 g — $2.00; Every additional 10 g — $0.90.
Q23
Open-ended
2 marks
🖼 Visual
The figure below shows 2 shaded triangles. Find the total area of the shaded triangles.
Q24
Open-ended
2 marks
🖼 Visual
Jenny wants to cut the maximum number of identical circles from a piece of rectangular cardboard measuring 100 cm by 20 cm as shown in the figure below. What is the total area of the circles cut out from the cardboard? (Take π = 3.14)
Q25
Open-ended
2 marks
🖼 Visual
In the figure below, AB is a straight line. The sum of ∠x and ∠y is 124°. The sum of ∠x and ∠z is 97°. Find ∠x.
Q26
Open-ended
2 marks
Gwen is 6 times as old as her brother. In 12 years' time, she will be twice as old as her brother. How old is Gwen now?
Q27
Open-ended
2 marks
🖼 Visual
The table below shows the number of hamsters owned by a group of children. The total number of hamsters owned by the children is 88. How many children owned 2 hamsters? Number of hamsters: 0, 1, 2, 3, 4. Number of children: 4, 12, ?, 10, 6.
Q28
Open-ended
2 marks
🖼 Visual
In the figure below, there are 2 squares. Each side of the smaller and larger square is y cm and (y + 1) cm respectively. Find the perimeter of the figure.
Q29
Open-ended
2 marks
Muthu sold 147 marbles on Monday. He sold 3/7 of the remainder on Tuesday and had half of his marbles left. Find the number of marbles he sold altogether.
Q30
Structured
2 marks
🖼 Visual
Each statement below is either true, false or not possible to tell from the information given. For each statement, put a tick (✓) in the correct column. In the figure below, MNO and MNP are triangles. PM = PN, ∠MPN = 110° and ∠MON = 70°. (a) ∠MNP is 35°. (b) ∠OMP = ∠ONP = 20°.
Q31
Open-ended
2 marks
A bottle is 3/4 filled with water. This amount of water is equivalent to 5 identical cups of water. 2 cups of water from the bottle are then poured away. What fraction of the bottle is still filled with water?
Q32
Open-ended
2 marks
Mrs Brooklyn had enough money to buy either 6 mops or 9 brooms. Each mop was $3.85 more than each broom. How much money did she have?
Q33
Open-ended
2 marks
🖼 Visual
Three circles are placed side-by-side as shown below. PQ is 7.5 cm and it cuts through the centres of all the circles. Find the circumference of the 3 circles. (Take π = 3.14)
Q34
Open-ended
2 marks
🖼 Visual
The following diagram shows 8 different locations. Jasmine is facing the south-west direction at first. Which location will she be facing after making a 135° anti-clockwise turn?
Q35
Open-ended
2 marks
🖼 Visual
Roslina has some coloured beads as shown in the pie chart below. The ratio of the number of yellow beads to the number of green beads is 2 : 3. What percentage of the beads is green?
Q36
Open-ended
3 marks
A cubical container contained 2.25 ℓ of water when 2/3 filled. Find the length of one side of the container.
Q37
Open-ended
3 marks
At a bakery shop, a cupcake costs $x and a brownie costs 80¢ more than the cupcake. Thomas wants to buy an equal number of cupcakes and brownies. What is the maximum sets of cupcakes and brownies Thomas can buy with $50?
Q38
Open-ended
3 marks
Mr Ong has 3 bags of rice, Bag A, Bag B and Bag C. Bag C weighs 600g. Bag A weighs 600g more than half of Bag B. The mass of Bag B is the total mass of Bag A and Bag C. What is the total mass of the 3 bags of rice?
Q39
Open-ended
3 marks
🖼 Visual
The pie chart below shows how Wilbur spent his salary last month. AB and CD are straight lines. Wilbur spent 10% of his money on watching movies. He spent the same amount of money on transport and watching movies. Find the amount of money he spent on clothes.
Q40
Open-ended
3 marks
A car set off at 07 45 from Town A at an average speed of 80 km/h and reached Town B at 09 45. A truck set off from Town A 2 hours earlier and reached Town B at the same time as the car. If the truck were to increase its average speed by 10 km/h, how much time would it have taken to reach Town B?
Q41
Structured
4 marks
🖼 Visual
An equilateral triangle E is drawn by joining dots on the grid below with three straight lines. In the same way, (a) draw an isosceles triangle with the same height as E. Label the triangle T. (b) draw a rhombus with the same perimeter as E. Label the rhombus R. (c) Find the sum of all the angles in E, T and R.
Q42
Structured
4 marks
🖼 Visual
The line graph below shows the amount of money Mrs Kim spent during the Great Singapore Sale from June to November. (a) What was the average amount of money Mrs Kim spent at the Great Singapore Sale over the six months? (b) Mrs Kim used the amount of money spent in November to buy a dress, a necklace and a watch in the ratio 4 : 5 : 3. How much did the necklace cost?
Q43
Open-ended
4 marks
Kate had 70 more Otah buns than Curry buns. She sold 3/4 of the Otah buns and 3/5 of the Curry buns. She sold 126 more Otah buns than Curry buns. What fraction of the remaining buns that Kate had were Curry buns?
Q44
Structured
4 marks
🖼 Visual
Hailey used 4 identical sticks to form a square as shown below. She then formed a pattern using more of the sticks. (a) How many sticks are used to form 13 squares? (b) How many squares are formed using 100 sticks?
Q45
Open-ended
4 marks
🖼 Visual
Study the figure below. Four 3-cm cubes were placed in a tank measuring 40 cm by 20 cm by 15 cm. 5747.3 cm³ of water was then poured into the tank. Find the height of the water level in the tank.
Q46
Structured
5 marks
🖼 Visual
In the figure below, ABCD is a square. DE = DC and ∠ECB is 1/4 of ∠ECD. (a) Find ∠AED. (b) Find ∠BAE.
Q47
Open-ended
5 marks
Lynn baked some cookies. 20% of the cookies were eaten. The rest of the cookies were given to Ryan, Gerald and Tim in the ratio of 7 : 3 : 2. After Ryan gave 320 cookies to Tim, Tim then had 50% as many cookies as Ryan. How many cookies did Lynn bake at first?