P6 Mathematics SA2 2021 — Raffles Girls | Singapore Past Year Paper

Q: Express two million, five hundred and two thousand, two hundred and five as a numeral.

C. 2 502 205. Two million = 2,000,000. Five hundred and two thousand = 502,000. Two hundred and five = 205. Sum = 2,502,205.

Q: Which of the following is greater than 4/7?

B. 2/3. 4/7 ≈ 0.571. Compare: 1/2 = 0.5, 2/3 ≈ 0.667, 3/8 = 0.375, 4/9 ≈ 0.444. Only 2/3 is greater than 4/7.

Q: Which point is South-West of Point E?

B. B. On the grid, Point B is to the left (West) and below (South) of Point E, making it South-West of E.

Q: The area of the shaded face of the cuboid is 18 cm². Its length is 4 cm. Find the volume of the cuboid.

C. 72 cm³. Volume of cuboid = area of cross-section × length = 18 × 4 = 72 cm³.

Q: In the figure, EACDF and BDG are straight lines. ∠ABC = 40°, ∠EAB = 110° and FDG = 36°. Find ∠CBD.

A. 34°. ∠BAC = 180° − 110° = 70° (angles on straight line EACDF). ∠BDA = 36° (vertically opposite to ∠FDG). In triangle ABD: ∠ABD = 180° − 70° − 36° = 74°. ∠CBD = ∠ABD − ∠ABC = 74° − 40° = 34°.

Q: What is the mass of the watermelon?

A. 2.7 kg. The pointer on the kg scale (0–3 with the 0 at top, going clockwise to 3) points between 2 and 3, at the marking corresponding to 2.7 kg.

Q: The figure consists of a square and an equilateral triangle. Find its perimeter.

A. 40 cm. The equilateral triangle has one side equal to the square's side, so each side of the triangle and the square = 8 cm. Perimeter = 3 sides of square + 2 slanted sides of triangle = 3(8) + 2(8) = 24 + 16 = 40 cm.

Q: In a library, 1/4 of the books are magazines. Half of the remaining books are fiction books. What is the ratio of the number of fiction books to the number of magazines?

D. 3 : 2. Let total = 8 units. Magazines = 1/4 × 8 = 2 units. Remaining = 6 units. Fiction = 1/2 × 6 = 3 units. Fiction : Magazines = 3 : 2.

Q: Jamie spent 70% of her savings on a laptop and had $2100 left. How much savings did she have at first?

A. $7000. Remaining 30% = $2100. 1% = $70. 100% = $7000.

Q: The cost of a pen is $n. A book costs $6 more than a pen. Express the total cost of 2 books and 3 pens in terms of n.

C. $(5n + 12). Cost of 1 book = n + 6. Total = 2(n + 6) + 3n = 2n + 12 + 3n = 5n + 12.

Q1 MCQ 1 mark

Express two million, five hundred and two thousand, two hundred and five as a numeral.

Q1 Open-ended 2 marks

Ali's salary was $4800 in June. His salary was $3840 in July. What was the percentage decrease in his salary?

Q2 Structured 2 marks 🖼 Visual

The line graph shows the amount of money Siti had in her bank on the last day of every month. Every month, Siti would deposit some money into the bank without making any withdrawal. (a) In which month did she not make any deposit? (b) In which month did she deposit the most amount of money?

Q2 MCQ 1 mark

Which of the following is greater than 4/7?

Q3 Open-ended 2 marks 🖼 Visual

In the figure, ABCD is a parallelogram. BCG and EFG are straight lines, AE = AD, ∠EBG = 52° and ∠EFD = 98°. Find ∠DEF.

Q3 MCQ 1 mark 🖼 Visual

Which point is South-West of Point E?

Q4 MCQ 1 mark 🖼 Visual

The area of the shaded face of the cuboid is 18 cm². Its length is 4 cm. Find the volume of the cuboid.

Q4 Open-ended 2 marks

Jaz, Kumar and Farah shared the cost of a laptop. Jaz paid 1/4 of the total share of Kumar and Farah. Kumar paid 1/2 of the total cost of the laptop. Farah paid $186 more than Jaz. How much did the laptop cost?

Q5 MCQ 1 mark 🖼 Visual

In the figure, EACDF and BDG are straight lines. ∠ABC = 40°, ∠EAB = 110° and FDG = 36°. Find ∠CBD.

Q5 Structured 2 marks 🖼 Visual

The figure is made up of two rectangles ABCD, EFGH and a triangle BCJ. AD = 6 cm, AB = 8y cm and BJ = CJ. Each of the statements below is either true, false or not possible to tell from the information given. For each statement, put a tick (✓) to indicate your answer. (a) The area of rectangle ABCD is 48y cm². (b) The area of the shaded area EFGH is 33y cm² lesser than the area of ABCD. (c) The perimeter of ABJCD is (16y + 18) cm.

Q6 Open-ended 3 marks 🖼 Visual

The figure shows a square garden with a footpath. The area of the garden is 100 m². The width of the footpath is 2 m. Mr Chan wants to place 128 round stones each with a diameter of 0.5 m on the footpath. The stones cannot overlap one another. Use the calculator value of π to find the area of the footpath not covered by the stones in square metres. Round your answer to 1 decimal place.

Q6 MCQ 1 mark 🖼 Visual

What is the mass of the watermelon?

Q7 Structured 3 marks 🖼 Visual

In the figure, PQRS is a parallelogram. TXRV and TPS are straight lines. TU is parallel to PQ, ∠UTX = 79°, ∠QRV = 143° and ∠RSV = 21°. (a) Find ∠XQR. (b) Find ∠SVR.

Q7 MCQ 1 mark 🖼 Visual

The figure consists of a square and an equilateral triangle. Find its perimeter.

Q8 Open-ended 3 marks 🖼 Visual

Mary decorated her house with balloons for a party. She arranged 14 balloons hanging on the rope from one end of the wall to another end of the wall as shown in Figure 1. The balloons were arranged at an equal distance of 30 cm apart. On the actual day of the party, she burst 4 of the balloons and had to rearrange the balloons with a new gap as shown in Figure 2. What is the length of the new gap between any two consecutive balloons?

Q8 MCQ 1 mark

In a library, 1/4 of the books are magazines. Half of the remaining books are fiction books. What is the ratio of the number of fiction books to the number of magazines?

Q9 MCQ 1 mark

Jamie spent 70% of her savings on a laptop and had $2100 left. How much savings did she have at first?

Q9 Open-ended 3 marks

The mass of a volleyball is 0.21 kg more than a tennis ball. The mass of 2 volleyballs is the same as the mass of 9 tennis balls. Find the total mass of 1 volleyball and 1 tennis ball in grams.

Q10 MCQ 1 mark

The cost of a pen is $n. A book costs $6 more than a pen. Express the total cost of 2 books and 3 pens in terms of n.

Q10 Structured 3 marks

Tom spent $1440 of his salary on food, gave 40% of the remaining money to his parents and saved the rest. He saved 15% of his salary every month. (a) What percentage of his salary did he give to his parents? (b) What was Tom's monthly salary?

Q11 Structured 4 marks

Two printing machines, A and B, were used to print the pages of some books. Machine A can print 110 pages per minute. Machine B can print 2 pages per second. (a) What is the difference in the number of pages printed by the machines in 1 minute? (b) Both machines were used to print the pages of some books. Machine A started printing at 8 a.m. Machine B started printing at 8.45 a.m., while Machine A was still printing. At what time did both machines print the same number of pages?

Q11 MCQ 2 marks

The price of a bag was $800 before GST. How much did Mrs Tan pay for the bag including the 7% GST?

Q12 Structured 4 marks 🖼 Visual

The bar graph shows the number of visitors to an art gallery. (a) There were 56 more visitors on Monday than Tuesday. How many visitors were there at the gallery on Monday? (b) The average number of visitors at the gallery for Wednesday to Friday was 75. There were more visitors on Wednesday than Thursday. Given that the difference between the number of visitors on Wednesday and Thursday was the smallest possible number, what was the number of visitors on Thursday?

Q12 MCQ 2 marks

Richelle had some 20-cent and 50-cent coins. The total value of the coins was $40. For every five 20-cent coins, there were two 50-cent coins. How many coins did Richelle have altogether?

Q13 Structured 4 marks 🖼 Visual

Tank X is 30 cm long, 10 cm wide and 20 cm high. It is 5/8 filled with water. Some water is poured into an empty cubical Tank Y until it is completely filled. The length of Tank Y is 15 cm. (a) What is the volume of water in Tank X at first? Give your answer in cm³. (b) What is the volume of water left in Tank X? Give your answer in litres.

Q13 MCQ 2 marks

Jane baked some butter and chocolate cookies. After eating 7 butter cookies, she found that the number of chocolate cookies left was 3 times the number of butter cookies left. She packed the remaining cookies equally into 9 boxes. Each box contained 16 cookies. How many butter cookies did Jane bake?

Q14 MCQ 2 marks

By rounding each of the numbers to the nearest whole number, estimate the value of: 11.5 × 8.97 − 4.54

Q14 Structured 4 marks 🖼 Visual

ABCD is a square. BFE and AFC are straight lines. BC = BE and ∠EAF = 18°. (a) Find ∠ABE. (b) Find ∠ECD.

Q15 MCQ 2 marks

Egg tarts are sold in boxes of 2 for $3. Fruit tarts are sold in boxes of 4 for $4. Mrs Asfarah wants to buy an equal number of egg tarts and fruit tarts. What is the maximum number of tarts she can buy with $85?

Q15 Structured 4 marks 🖼 Visual

The figure consists of a square, a big semicircle, 2 small semicircles and a quarter circle. O is the centre of the big semicircle and quarter circle. The diameter of the big semicircle is 4 times the radius of the small semicircle. The length of OC is 8 cm. (a) Find the diameter of the small semicircle. (b) Find the perimeter of the shaded parts. (Take π = 3.14.)

Q16 Structured 5 marks

Mr Chew had 152 more mangoes than durians. He sold some mangoes and durians. The ratio of the number of mangoes sold to the number of durians sold is 3 : 1. The ratio of the number of durians sold to the number of durians left is 1 : 2. 2/3 of the fruit left were mangoes. (a) How many durians did he have left? (b) How many mangoes did he have at first?

Q16 Open-ended 1 mark

Fill in the boxes with a correct operation symbol. ( 3 □ 5 □ 2 ) □ 4 = 68. Operation symbols available: + , ×

Q17 Open-ended 1 mark

Kate painted a picture in 2 h 45 min. She completed her painting at 21 30. What time did she start painting? Give your answer in 12-hour clock.

Q17 Structured 5 marks

Tammy sold some shoes and backpacks and received $16 107. Tammy received $663 more from selling the backpacks than from selling the shoes. Each backpack cost $69 less than each pair of shoes. The number of pairs of shoes sold was 3/5 of the number of backpacks sold. (a) How much money did she receive from selling the shoes? (b) How many backpacks did she sell?

Q18 Open-ended 1 mark

Find the value of 42 ÷ 4. Give your answer as a mixed number in its simplest form.

Q19 Open-ended 1 mark

Find the value of 201.4 − 9.86.

Q20 Open-ended 1 mark 🖼 Visual

The table shows the number of hours Terry worked in a week delivering parcels. What is the average number of hours he worked per day?

Q21 Open-ended 2 marks

What is the missing number in the box? Give your answer as a fraction in the simplest form. 1/2 + ? = 9/10 − 1/5

Q22 Open-ended 2 marks

A wooden plank is 1.08 m long. Mr Amir sawed it into 4 pieces. Each piece was 8 cm longer than the previous piece. What was the length of the shortest piece? Give your answer in cm.

Q23 Open-ended 2 marks 🖼 Visual

The figure shows two squares. The perimeter of Square B is 12 cm more than the perimeter of Square A. Given that the total perimeter of the two squares is 148 cm, find the value of m.

Q24 Open-ended 2 marks

Mariko could pack some pens into bags of 8 or 12 with no remainder. When she packed the pens into bags of 10, she needed 4 more pens. What was the smallest possible number of pens that Mariko had?

Q25 Open-ended 2 marks 🖼 Visual

A piece of paper in the shape of an isosceles triangle is folded along the dotted lines. Find ∠x.

Q26 Open-ended 2 marks

Mary wanted to buy 50 lemons. The lemons were sold either for 95 cents each or at $3 for a bag of 4 lemons. What was the least amount of money that Mary would need to pay for the lemons?

Q27 Open-ended 2 marks 🖼 Visual

PQRS is a rectangle and PUS is a triangle. The area of triangle PTS is 12 cm². Find the area of the PQRTUS.

Q28 Open-ended 2 marks 🖼 Visual

The table shows the rental rates of bicycles. Adult: $10 per hour or part thereof. Children: $5 per hour or part thereof. Mr Chandran paid $60 to rent a bicycle for himself and a bicycle each for his 2 children. What was the maximum number of hours they had rented their bicycles?

Q29 Open-ended 2 marks 🖼 Visual

The graph shows the mass of durians bought by the different families. The 3 families paid a total of $1200 for the durians they bought. How much did 1 kg of durian cost?

Q30 Open-ended 2 marks 🖼 Visual

The ratio of the area of the square to the area of the triangle to the area of the rectangle is 5 : 8 : 20. If 1/5 of the rectangle and 3/4 of the triangle is shaded, what fraction of the figure is shaded? Give your answer in the simplest form.

P6 Mathematics SA2 2021 — Raffles Girls

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