Q1
MCQ
1 mark
Round 263 547 to the nearest hundred.
P6 Mathematics SA2 2019 — Rosyth
Source: Rosyth, 2019
This P6 Mathematics SA2 paper from Rosyth (2019) covers measurement, geometry and angles, graphs and data, percentage, money and time 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.
Q1
Open-ended
2 marks
Joel had 6p marbles. He had half as many marbles as Amanda. Amanda had 8 more marbles than Raju. How many marbles did they have altogether?
Q2
Open-ended
2 marks
James has 1/4 as many sweets as Ahmad and 4/5 as many sweets as Muthu. They have a total of 325 sweets. How many sweets does Muthu have?
Q2
MCQ
1 mark
🖼 Visual
What is the length of the pencil?
Q3
Open-ended
2 marks
🖼 Visual
Two identical triangles overlapped each other to form six smaller identical equilateral triangles as shown below. The area of the shaded part is 78 cm². Find the area of 1 unshaded equilateral triangle.
Q3
MCQ
1 mark
Find the value of (5y + 12) / 6 when y = 6.
Q4
MCQ
1 mark
Troy took 2 h 15 min to bake a cake. He started baking at 11.35 a.m. What time did he finish baking?
Q4
Structured
2 marks
🖼 Visual
In an examination hall, the tables were arranged in such a way that there were 15 rows with 30 tables in each row on Day 1. On Day 2, 8 tables were removed from each row and the remaining tables were then rearranged such that there were 33 tables in each row. State whether each statement is True, False or Not possible to tell: a) There were 442 tables left on Day 2. b) There were 10 rows of tables on Day 2.
Q5
MCQ
1 mark
🖼 Visual
How many letters below have both parallel and perpendicular lines?
Q5
Open-ended
2 marks
🖼 Visual
A rectangular tank was filled with some water at first. Tap A was first turned on to add more water into the tank for 20 minutes. After 10 minutes, Tap B was then turned on to drain water out of the tank until the 20th minute. The line graph shows the volume of water in the tank over the period of 20 minutes. How many litres of water did Tap B drain out?
Q6
Open-ended
3 marks
1/3 of Julie's money was equal to 3/5 of Nancy's money. After Julie gave Nancy $42, both of them would have the same amount of money. How much money did Nancy have at first?
Q6
MCQ
1 mark
🖼 Visual
Karen is thinking of a quadrilateral. Using the clues below, which of the following shapes, A, B, C, or D is Karen thinking of? Clue 1: It has two pairs of parallel sides. Clue 2: Not all angles are the same size. Clue 3: Not all sides are the same length.
Q7
Open-ended
3 marks
Andy had just enough ribbon to cut into 45 shorter pieces of equal length. However, if he cut the ribbon into 37 pieces of equal length, he would have 5.04 m of ribbon left. What was the length of ribbon?
Q7
MCQ
1 mark
🖼 Visual
The square grid below shows the plan of a town. Which direction is the library from the mall?
Q8
Open-ended
3 marks
🖼 Visual
Tony wants to sell a laptop. The table shows the prices of the same laptop from his shop and Shop Y (Tony's shop: original price $3 500, % discount ?; Shop Y: original price $4 000, % discount 30%). Tony wants to price his laptop at the same selling price as Shop Y. How much percentage discount must he give to match Shop Y's selling price?
Q8
MCQ
1 mark
A machine can print 80 cards in 3 minutes. At this rate, how many cards can it print in 1 hour?
Q9
MCQ
1 mark
🖼 Visual
The figure above shows a pyramid. Which of the following is not a net of the pyramid?
Q9
Open-ended
3 marks
Alfred left his house for Zain's house. Alfred wants to reach Zain's house at 6.00 p.m. If Alfred walks at a speed of 60 m/min, he will be 16 minutes late. If he jogs at a speed of 80 m/min, he will be 6 minutes late. What is the distance between Alfred's and Zain's house?
Q10
MCQ
1 mark
🖼 Visual
The graph shows the number of visitors at the zoo from Monday to Thursday. On which two days were there the same number of visitors at the zoo?
Q10
Structured
3 marks
🖼 Visual
In the diagram below, PQS is an equilateral triangle. QT is a straight line. PR ⊥ QS, ∠PQV = 35° and ∠PST = 75°. Find (a) ∠QPR (b) ∠QTS.
Q11
Open-ended
4 marks
🖼 Visual
The figure consists of 2 identical rectangles ABCD and EFGH, overlapping one another. Both WXYZ and EBCH are squares. The area of each rectangle is 306 cm². 40% of the whole figure is shaded. The unshaded area of the whole figure is 324 cm². What is the ratio of the area of triangle EXH to the area of ADGF?
Q11
MCQ
2 marks
Andrea had 24 more stamps than Bella. When Bella gave 18 stamps to Andrea, Andrea had 4 times as many stamps as Bella. How many stamps did Bella have at first?
Q12
Structured
4 marks
The number of visitors to a zoo was 152 880 in July. This was a 16% decrease from the number in June. The number of people who visited the zoo in August was a 20% increase from the number in July. (a) What was the total number of people who visited the zoo in June? (b) What was the percentage increase in the number of people who visited the zoo in August compared to June?
Q12
MCQ
2 marks
An electronics store sold 5/8 of their television sets in the morning, 1/3 of the remaining television sets in the afternoon and the rest of the television sets in the evening. What fraction of the television sets were sold in the evening?
Q13
Structured
4 marks
🖼 Visual
The diagram below shows 2 tanks, Tank A and Tank B, of different dimensions. Tank A is completely empty while Tank B is filled with water to the brim. (a) Find the volume of water in Tank B. (b) Water from Tap A flows at a rate of 2.7 litres per minute while water drains from Tap B at a rate of 2.4 litres per minute. Both taps are turned on at the same time. After some time, the height of the water level in both tanks becomes the same. Find the height of the water level at this point of time.
Q13
MCQ
2 marks
🖼 Visual
The equilateral triangle and the rectangle shown have the same perimeter. The length of the rectangle is twice its breadth. The side of the triangle is 12 cm. What is the area of the rectangle?
Q14
MCQ
2 marks
John, Michael and Terry shared $27.90 among themselves. Terry received 3 times as much money as Michael and John received twice as much money as Michael. How much money did John receive?
Q14
Structured
4 marks
🖼 Visual
In the figure, ABDE is a trapezium and AC // ED. Find (a) ∠CFE (b) ∠FED. (Given ∠BAC = 75°, ∠ABC = 65° and ∠ACF = 30°.)
Q15
MCQ
2 marks
Claire bought a bottle containing 2.85 litres of washing detergent. She used 40 ml of washing detergent each day from Monday to Friday. On Saturday and Sunday, she used 50 ml of washing detergent each day. If Claire started using a new bottle on Tuesday, on which day would she use up all the washing detergent?
Q15
Open-ended
4 marks
🖼 Visual
Mrs Raju wanted to decorate the bulletin board with some circular pieces of paper. The diameter of each circular paper was 12 cm. She cut all the circular pieces of paper into quadrants and decorated the entire bulletin board using all the quadrants, following the pattern shown below. There was no gap between each piece of quadrant. How many pieces of circular paper did she use to decorate the bulletin board?
Q16
Structured
5 marks
There were 200 more apples than pears at a fruit stall. After 1/4 of the apples and 2/7 of the pears were sold, there were 170 more apples than pears left. (a) How many apples were there at the fruit stall at first? (b) How many pears were left at the fruit stall in the end?
Q16
Open-ended
1 mark
Find the value of 8.2 - 2.33.
Q17
Open-ended
1 mark
Express 6 minutes as a percentage of 2 hours.
Q17
Structured
5 marks
A chef prepared some fishballs for the guests during a birthday party. 60% of the guests were children. Among the children, the ratio of the number of girls to the number of boys is 5 : 3. A total of 9 408 fishballs were prepared so that each adult got 5 fishballs and each child got 6 fishballs. There were no fishballs left after the party. a) What was the ratio of the number of fishballs the adults got to the number of fishballs the children got? Give your answer in the simplest form. b) How many boys attended the party?
Q18
Open-ended
1 mark
🖼 Visual
In the grid below, draw two straight lines to form a symmetric figure with AB as the line of symmetry.
Q19
Open-ended
1 mark
A rectangular container measuring 10 cm by 20 cm by 37 cm is 1/4 filled with water. Find the volume of water in the container.
Q20
Open-ended
1 mark
🖼 Visual
The pie chart shows the number of cakes sold at a shop from Tuesday to Friday. The number of cakes sold from Tuesday to Friday is also represented by the table below. Find the number of cakes sold on Wednesday.
Q21
Open-ended
2 marks
Miss Teo gave her students some sweets. If she gave each student 4 sweets, there were 3 sweets left over. If she gave each student 6 sweets, she was short of 1 sweet. What was the smallest possible number of sweets that Miss Teo gave her students?
Q22
Open-ended
2 marks
🖼 Visual
The table shows the marks that Hayden scored for 4 subjects in the SA1 examinations (English 72, Mathematics 65, Mother Tongue ?, Science 80). Hayden scored an average of 72 marks for the 4 subjects. How many marks did he score for his Mother Tongue?
Q23
Open-ended
2 marks
🖼 Visual
Muthu bought 3 types of stationery items for his office. The prices are given in the table (Pencil $0.50, Pen $2.00, File $4.00). The bar graph shows the total cost spent on each type of stationery items. What is the total number of stationery items bought by Muthu?
Q24
Open-ended
2 marks
🖼 Visual
The figure is made up of a semi-circle and an equilateral triangle. Find the perimeter of the figure. Take π = 22/7. (The slanted side of the triangle is 14 cm.)
Q25
Open-ended
2 marks
In a 100 m race, when Patrick reached the finishing point, he was 20 m ahead of Raj and 40 m ahead of Salim. All the boys did not change their speed throughout the race. How far had Salim run when Raj reached the finishing point?
Q26
Open-ended
2 marks
🖼 Visual
In the square grid below, XY is a straight line. Draw an isosceles triangle XYZ using one of the given points as point Z.
Q27
Open-ended
2 marks
A total of 77 people are standing in a queue for concert tickets. There are at least 3 women in between every 2 men. What is the largest possible number of men in the queue?
Q28
Open-ended
2 marks
Mdm Farah baked an equal number of cupcakes and cookies. After she sold 32 cupcakes and 20 cookies, the number of cupcakes left was 4/7 of the number of cookies left. How many cookies did she bake at first?
Q29
Open-ended
2 marks
🖼 Visual
In the figure, ABC is an isosceles triangle. ∠BCD = 220° and ∠ACD = 60°. Find ∠BAC.
Q30
Open-ended
2 marks
On Monday, Alynna has $90 while Rachel has $10 in each of their savings account. On Tuesday, both Alynna and Rachel start saving a fixed amount daily. Rachel saves $2 more than Alynna each day. After 10 days Alynna has twice as much money as Rachel. How much does Alynna save each day?