This P6 Mathematics SA2 paper from Methodist Girls (2012) covers measurement, area and perimeter, money, percentage, geometry and angles and average, rate and speed across 48 questions worth 101 marks. Practise Mathematics the way it's tested at P6 level in Singapore, with step-by-step answers on LearnBuddy.
The table below shows the parking charges at a shopping mall. 7.30 a.m. to 5.00 p.m.: First hour − $2.00; Subsequent 1/2 hour or part thereof − $1.50. After 5.00 p.m.: $3.00 per entry. How much would Davina have to pay if she parked there from 2.45 p.m. to 7.30 p.m.? Ans: $______
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What is the smallest whole number that becomes 3500 when it is rounded off to the nearest ten?
Q2MCQ1 mark
How many ninths are there in 4 2/3?
Q2Open-ended2 marks
A motorist left Town A for Town B at 1.40 pm. He travelled 1/4 of his journey in 20 minutes and the remaining 135 km at an average speed of 75 km/h. At what time will the motorist reach Town B? Ans: ______
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A square and an equilateral triangle have the same perimeter. If the side of the square is 9 cm, find the length of each side of the equilateral triangle.
Q4MCQ1 mark
A rectangular tank measuring 30 cm by 20 cm by 20 cm is 2/5 full. Find the volume of the water needed to fill the tank completely.
Q4Open-ended2 marks
The distance between Town P and Town Q is 270 km. Melvin takes 4 hours to travel from Town P to Town Q. How much faster must he travel so that he takes only 3 hours for his return journey from Town Q to Town P? Ans: ______ km/h
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Mei Yan bought 2 pencils and 2 notebooks from the school bookshop. The pencils cost $1.80. She gave the shopkeeper $10 and received $2.70 change. How much did Mei Yan pay for each notebook?
Q5Open-ended2 marks🖼 Visual
The figure below is not drawn to scale. ABCD is a rhombus. GDF, BCG and EFG are straight lines. Find ∠y.
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In the figure below, not drawn to scale, ∠x is twice as large as ∠y. Find ∠x.
Q6Open-ended3 marks
There were 135 more hangers in wardrobe X than in wardrobe Y. After 20 hangers were transferred from wardrobe Y to wardrobe X, there were 6 times as many hangers in wardrobe X than in wardrobe Y. How many hangers were there in wardrobe X at first? Ans: ______ [3]
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The figure shows part of a fence. It is made of rectangles and semicircles of different sizes. Find the perimeter of the fence. Leave your answer in term of π. Ans: ______ [3]
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In the figure, not drawn to scale, ABCD is a square. Given that ∠ACX = 20°, find ∠BXC.
Q8Structured4 marks
Aidah had some dollar notes in her purse. 3/5 of the notes were $50 notes and 2/3 of the remaining notes are $10 notes. She had 7 $5 notes and 3 $2 notes. (a) What is the total value of the $10 notes? (b) How much money did Aidah have altogether?
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Bottle A and bottle B both contain some juice. If 1.3 ℓ of juice was poured into bottle A, the volume of juice in A will be 1.6 times that of the volume of the juice in bottle B. If 480 ml of juice was poured into bottle B, the volume of juice in bottle B will be 1.8 times that of the volume of the juice in bottle A. (a) What is the volume of juice in bottle A? (b) What is the difference in the volume of juice in both bottles?
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Which of the following letters has both parallel and perpendicular lines?
Q10Structured4 marks🖼 Visual
The graph below shows the number of apples sold in Stall A, Stall B and Stall C. Study the graph below carefully. (a) What is the average number of apples sold in Stall A, Stall B and Stall C? (b) How many percent more apples did Stall A sell than Stall B? (c) The number of apples sold in Stall D was 2/5 of the total number of apples sold in Stall A, Stall B and Stall C. Draw the bar representing the number of apples sold in Stall D in the bar graph above.
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The average score of 5 quizzes should be 48. When one of the scores was recorded wrongly as 77, the new average became 52. What was the actual score of the quiz? Ans: ______ [3]
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Nathan took 25 seconds to type 15 words. How many minutes will he take to type 750 words? Correct your answer to the nearest minute.
Q13Open-ended5 marks
In a squash competition, each player played once with everyone else. Gordon played with 4 times as many boys as girls. Jayanthi played with 5 times as many boys as girls. How many more boys than girls were there? Ans: ______ [5]
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The pie chart below shows the type of ice cream ordered by a group of 80 people. What percentage of the people ordered chocolate flavoured ice cream?
Q14Open-ended4 marks
During the Great Singapore Sale, Ravi, Johan, Meng and Emma shared the cost of a present. Ravi paid 50% of the total amount paid by the other 3 friends. Meng paid 60% of the total amount paid by Johan and Emma. Johan paid 1/2 of what Emma paid. If Ravi paid $24 more than Emma, how much did the present cost? Ans: ______ [4]
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The ratio of Mr Lim's age to his daughter's age is 7 : 2. In 3 years' time, their total age will be 69 years. How old will the daughter be in 5 years' time?
Q15Structured3 marks
120k stickers are shared among 4 boys and 8 girls. Each boy received 4 stickers. (a) How many stickers does each girl receive? Express your answer in terms of k. (b) If k = 2, how many stickers did each girl receive?
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The figure below is drawn to scale and the line shown form part of a trapezium. Given that BC = 9 cm, AB = 6 cm, AD = 3 cm and ∠ABC = 46°, complete the figure to form a trapezium. (a) Measure ∠ADC (b) Measure the length DC
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Alan, Beng Seng and Chandran would take 3 hours, 4 hours and 5 hours respectively to paint a room if they worked alone. At 9.30 am, Alan and Beng Seng started to paint the room together. At 11 am, Alan went for a break. Chandran then took over and worked together with Beng Seng to complete the rest of the painting. How much time did Beng Seng and Chandran take to complete painting the rest of the room? Ans: ______ [4]
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The figure shows a solid that is made up of 8 identical cubes. The solid is painted completely and the area of the painted faces is 288 cm². (a) What is the volume of one cube? (b) How many more cubes have to be added to the solid to form a cube with a volume of 729 cm³?
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Study the following multiplication strings. 4 = 4; 4 × 4 = 16; 4 × 4 × 4 = 64; 4 × 4 × 4 × 4 = 256. What is the digit in the ones place of a multiplication string of 12 fours?
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During a Christmas sale, a shop gave a storewide discount of 15%. Mrs Chan, being a regular customer, was given a further 5% discount off the discounted price. What is the total percentage discount Mrs Chan enjoyed? Ans: ______ %
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Devi ate 1/8 of a cake and gave half of the remainder to her neighbour, Mr Ravi. Mr Ravi cut the piece of cake into 3 equal pieces for his children. What fraction of the cake did each child receive? Ans: ______
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Mrs Lee gave $720 to her daughters, Jane, Kaylene and Lydia in the ratio 2 : 3 : 4 respectively. What percentage of Lydia's money must she give away to her sisters so that all the 3 girls have an equal amount of money? Ans: ______ %
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Mr Tan packed boxes of cereals into a big box. Each cereal box measured 7 cm by 4 cm by 9 cm while the big box measured 40 cm by 60 cm by 40 cm. What is the greatest number of cereal boxes Mr Tan could pack into the big box? Ans: ______
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A wheel with a radius of 7 cm was rolled from one wall in a room to the opposite wall. The distance between the two walls was 4.54 m. How many revolutions did it make before coming to a stop? (Take π = 22/7) Ans: ______
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