P6 Mathematics SA2 2018 — Methodist Girls

Q: Round 538 527 to the nearest ten thousands.

D. 540 000. The thousands digit is 8 (≥5), so round the ten-thousands place up: 53 → 54. 538 527 rounds to 540 000.

Q: The mass of a sack of potatoes is 5.45 kg. Find the mass of 30 such sacks of potatoes.

C. 163.5 kg. 5.45 kg × 30 = 163.5 kg.

Q: Bill and Chandra are standing on the podium. What is the distance between the top of Bill's head and the top of Chandra's head?

C. 78 cm. Top of Bill's head = 68 cm + 1.95 m = 263 cm. Top of Chandra's head = 23 cm + 1.62 m = 185 cm. Difference = 263 − 185 = 78 cm.

Q: The table shows the total number of cars sold by Mr Tan, a car dealer, from January to April. What was his average number of cars sold per month?

B. 27. Total = 0 + 17 + 29 + 62 = 108 cars over 4 months. Average = 108 ÷ 4 = 27.

Q: In the figure below, PQRS is a rectangle and QTUR is a square. PQT and SRU are straight lines. Find ∠SQU.

D. 105°. In right triangle QRS, ∠QRS = 90° and ∠QSR = 30°, so ∠SQR = 60°. QTUR is a square, so triangle QRU is right-angled isosceles, giving ∠RQU = 45°. ∠SQU = 60° + 45° = 105°.

Q: The distance-time graph shows the journey taken by Mr Lim from Town A to Town D. Which statement describes the graph?

D. His speed from Point A to Point B is slower than his speed from Point C to Point D.. The line segment from A to B is less steep than the segment from C to D. A steeper distance-time line means greater speed, so the speed from A to B is slower than from C to D.

Q: In the diagram below, ABFG is a trapezium and BCE is an equilateral triangle. AB // GF and GFD is a straight line. Find ∠ABC.

C. 170°. GFD is a straight line so ∠BFG = 180° − 110° = 70°. Since AB // GF, co-interior angles give ∠ABF = 180° − 70° = 110°. BCE is equilateral so ∠FBC = 60°. ∠ABC = ∠ABF + ∠FBC = 110° + 60° = 170°.

Q: [A cuboid is shown.] Which one of these figures could not be a net of the cuboid?

C. (figure 3). When folded, the arrangement of faces in figure (3) causes faces to overlap or leaves a face missing, so it cannot fold into the closed cuboid. The other three nets fold correctly.

Q: Simplify 9y + 7 − 5y + y − 3 + 2.

D. 5y + 6. Combine y-terms: 9y − 5y + y = 5y. Combine constants: 7 − 3 + 2 = 6. Result = 5y + 6.

Q: The bar graph shows how pupils of Champion Primary School went to school on a certain day. Which pie chart represents the information given in the bar graph?

B. (pie chart 2). In the bar graph Car is the largest, Walk is the smallest, and Bus and MRT are in between. Only pie chart (2) keeps these relative proportions (Car biggest sector, Walk smallest).

P6 Mathematics 2018 SA2 47 questions 96 marks

Source: Methodist Girls, 2018

This P6 Mathematics SA2 paper from Methodist Girls (2018) covers measurement, geometry and angles, area and perimeter, money, average, rate and speed and graphs and data across 47 questions worth 96 marks. Practise Mathematics the way it's tested at P6 level in Singapore, with step-by-step answers on LearnBuddy.

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Q1 MCQ 1 mark

Round 538 527 to the nearest ten thousands.

Q1 Structured 2 marks 🖼 Visual

(Paper 2) The table below shows the number of television sets owned per flat in a housing estate. (a) How many television sets are owned by the flats in the housing estate? (b) What percentage of flats owned at least two television sets?

Q2 Open-ended 2 marks 🖼 Visual

(Paper 2) A rectangular tank 50 cm long and 40 cm wide was filled partially with water. 12 litres of water were poured out of the tank. The height of the water became 15 cm. What was the height of the water at first?

Q2 MCQ 1 mark

The mass of a sack of potatoes is 5.45 kg. Find the mass of 30 such sacks of potatoes.

Q3 Open-ended 2 marks

(Paper 2) Nazri had some marbles. He gave 2/5 of them to his classmates and 1/3 of the remainder to his brother. He then had 38 marbles left. How many marbles did he give to his brother?

Q3 MCQ 1 mark 🖼 Visual

Bill and Chandra are standing on the podium. What is the distance between the top of Bill's head and the top of Chandra's head?

Q4 Open-ended 2 marks 🖼 Visual

(Paper 2) O is the centre of the large circle and AO is the diameter of the small circle. The diameter of the large circle is 2 times the diameter of the small circle. The circumferences of the big and small circles meet each other at point A. The perimeter of the shaded figure is 30π cm. What is the diameter of the small circle?

Q4 MCQ 1 mark 🖼 Visual

The table shows the total number of cars sold by Mr Tan, a car dealer, from January to April. What was his average number of cars sold per month?

Q5 Structured 2 marks 🖼 Visual

(Paper 2) Look at the letters in the square grid below: H A T X. Write each letter once in the table below based on the description for each row or column. (Columns: 'Have 1 line of symmetry', 'Have 2 lines of symmetry'. Rows: 'Have perpendicular lines', 'Have no perpendicular lines'.)

Q5 MCQ 1 mark 🖼 Visual

In the figure below, PQRS is a rectangle and QTUR is a square. PQT and SRU are straight lines. Find ∠SQU.

Q6 MCQ 1 mark 🖼 Visual

The distance-time graph shows the journey taken by Mr Lim from Town A to Town D. Which statement describes the graph?

Q6 Open-ended 3 marks

(Paper 2) Siti bought n notebooks and 3 times as many files. She paid a total of $160 for the notebooks and files. The notebooks cost $25 more than the files. If n = 5, what was the cost of each file?

Q7 Open-ended 3 marks 🖼 Visual

(Paper 2) The shaded figure below is formed by semicircles, quarter circles and squares. ABEF is a square. What is the area of the shaded region? (π = 3.14)

Q7 MCQ 1 mark 🖼 Visual

In the diagram below, ABFG is a trapezium and BCE is an equilateral triangle. AB // GF and GFD is a straight line. Find ∠ABC.

Q8 MCQ 1 mark 🖼 Visual

[A cuboid is shown.] Which one of these figures could not be a net of the cuboid?

Q8 Open-ended 3 marks 🖼 Visual

(Paper 2) The figure shows three semicircles and a circle. AB = BC = CD = DE = 5 cm. Find the perimeter of the shaded part. Give your answer in 2 decimal places.

Q9 Open-ended 3 marks

(Paper 2) Every time Mei Ling saves 60 cents, her mother puts another 30 cents into her savings. When Mei Ling had $25.20 in her savings, how much of it had been put in by her mother?

Q9 MCQ 1 mark

Simplify 9y + 7 − 5y + y − 3 + 2.

Q10 MCQ 1 mark 🖼 Visual

The bar graph shows how pupils of Champion Primary School went to school on a certain day. Which pie chart represents the information given in the bar graph?

Q10 Open-ended 3 marks

(Paper 2) Peter set off from Town A towards Town B at 7.00 a.m. at a constant speed of 70 km/h. John set off from Town A towards Town B at 8.30 a.m. at a constant speed of 90 km/h. At what time did John manage to catch up with Peter on the road?

Q11 MCQ 1 mark

Mr Tan bought a total of 300 red and black beads in separate boxes. All the boxes of red beads had the same number of beads. All the boxes of black beads had 70 beads in each box. Which one of the following could not be the number of red beads in a box?

Q11 Open-ended 4 marks

(Paper 2) A group of children shared 533 stamps among themselves. 1/2 of them received 4 stamps each, 5/12 of them received 3 stamps each and the rest received 2 stamps each. How many children were there?

Q12 Structured 4 marks 🖼 Visual

(Paper 2) The pie chart below shows the percentage of people who visited an exhibition. 25% of the people were children. There were 46 boys. There were 88 more women than girls. (a) How many men were there? (b) How many people visited the exhibition?

Q12 MCQ 1 mark

In a box, 4/9 of the fruits are apples and the rest are pears. 2/3 of the apples are red and the rest are green. There are 24 green apples. How many pears are there in the box?

Q13 Structured 4 marks 🖼 Visual

(Paper 2) The figure below shows three overlapping triangles. ABC is an isosceles triangle and AB // FK. ∠ACB = 106°, ∠CDH = 18°, ∠KFH = 52° and ∠GJH = 40°. Find (a) ∠FHD. (b) ∠FKG.

Q13 MCQ 1 mark

Lee Min donated 30% of her savings and still had $210 of her savings left. How much money did she donate?

Q14 MCQ 1 mark

The letter x represents a number between 4 and 6. Which of the following algebraic expression has the largest value?

Q14 Structured 4 marks

(Paper 2) The total height of 3 men was 5.01 m. A fourth man joined the group and the average height decreased by 0.08 m. A fifth man joined the group and the average height then increased by 0.06 m. (a) What was the average height of the first three men? (b) What was the height of the fifth man?

Q15 MCQ 2 marks 🖼 Visual

The figure above is formed by 4 identical quarter circles, 1 semicircle and 1 rectangle. Find the area of the shaded figure. Leave your answer in terms of π.

Q15 Structured 5 marks 🖼 Visual

(Paper 2) The figure below shows 2 identical tanks. Water from Tap X flowed at a rate of 2.8 litres per minute while water from Tap Y flowed at a rate of 3.2 litres per minute. Tap X was turned on at 10 a.m. Tap Y was turned on 2 minutes later. The taps were turned off at the same time when the water level in the 2 tanks reached the same height. (a) At what time was the water level the same in both tanks? (b) What was the height of the water level in both tanks in the end?

Q16 Structured 4 marks 🖼 Visual

(Paper 2) The figures which are made up of shaded and unshaded squares follow a pattern as shown (Figure 1, Figure 2, Figure 3...). The table gives Figure 1: 2 shaded, 2 unshaded; Figure 2: 3 shaded, 6 unshaded; Figure 3: 4 shaded, 12 unshaded; Figure 4: 5 shaded, 20 unshaded. (a) Find the number of shaded and unshaded squares in Figure 5. (b) In which figure is there a total of 256 squares? (c) A figure in the pattern has a total of 529 shaded and unshaded squares. What is the number of shaded squares in the figure?

Q16 Open-ended 1 mark

Find the value of 15.3 − 9.04.

Q17 Structured 5 marks 🖼 Visual

(Paper 2) Computer sale: 1st computer at 20% discount, 2nd computer at 30% discount (price of 2nd computer should be equal or lower than price of 1st). Mr Chan and Mr Tan each bought two computers during the Great Singapore Sale. (a) Mr Chan's computers were priced at $1250 and $2370, before 7% GST. How much did he pay in total, including GST? (b) Mr Tan paid a total of $3445.40, including 7% GST. He paid $449.40 more for the 1st computer than for the 2nd computer. What was the price of the 1st computer before discount?

Q17 Open-ended 1 mark

Find the value of 147 × 80.

Q18 Open-ended 1 mark

a : b = 7 : 4 and b : c = 6 : 7. What is the ratio of a : c? Give your answer in the simplest form.

Q19 Open-ended 1 mark 🖼 Visual

In the figure below, AOC is a straight line. ∠AOB = 159° and ∠COD = 63°. What is the sum of ∠AOD and ∠BOC?

Q20 Open-ended 1 mark 🖼 Visual

Mrs Lim was at the market. After she turned 225° anti-clockwise, she is now facing the park. Where was she facing at first?

Q21 Open-ended 2 marks

Eileen prepared 6/7 litres of apple juice for some friends. She poured the juice into cups of 1/5 litres each. How much apple juice was left? Give your answer as a fraction in the simplest form.

Q22 Structured 2 marks 🖼 Visual

AB and BC are two sides of a trapezium. BC // AD and the length of BC and AD are in the ratio of 2:3. Complete the trapezium by drawing the other two sides in the square grid and label it. Measure the length of CD.

Q23 Open-ended 2 marks 🖼 Visual

The diagram shows the net of a cube. The cube is placed with Face "2" at the bottom of the cube. Which face is at the top of the cube?

Q24 Open-ended 2 marks

Janette took 15 minutes to cycle from her house to the library. She travelled 850 m. Find Janette's speed in km/h.

Q25 Structured 2 marks 🖼 Visual

In the figure below, AEC and BED are straight lines. AB = BC = CD. Each statement below is true, false or not possible to tell from the information given. For each statement, put a tick (✓) in the correct column. Statement (i): Area of Figure ABCDE = Area of △ABC + Area of △BCD − Area of △BCE. Statement (ii): ∠BAC = ∠CDB.

Q26 Structured 2 marks 🖼 Visual

The graph below shows the height of water in a bathtub at different times of Sally's bathing activity. The height of the bathtub was 50 cm. She switched on the tap to fill the bathtub. She switched off the tap and stepped into the tub. After her bath, she stepped out of the bathtub and drained the water. (a) What fraction of the height of the bathtub was filled with water when Sally switched off the tap? Give your answer in the simplest form. (b) How long did Sally stay in the bathtub?

Q27 Open-ended 2 marks

The pupils in a room are divided equally into Group A and Group B. The ratio of the number of boys to the number of girls in Group A is 2 : 3 and in Group B is 1 : 2. What is the ratio of the total number of girls to the total number of pupils in the room?

Q28 Open-ended 2 marks 🖼 Visual

The figure below is formed by a square ABCD and a triangle DGC. AD = 9 cm, EF = 4 cm and FC is a straight line. Find the area of the shaded part.

Q29 Open-ended 2 marks 🖼 Visual

In the figure, ABCD is a rectangle and CEFG is a rhombus. ∠EFG = 100° and ∠DCG = 135°. Find ∠BCE.

Q30 Open-ended 2 marks 🖼 Visual

The solid below is made up of 5 identical cubes. The solid has a volume of 40 cm³. How many more cubes have to be added to the solid to form a bigger cube with a volume of 216 cm³?

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