P6 Mathematics SA2 2015 — Henry Park

Q: In 84.569, what does the digit 5 stand for?

C. 5 tenths. In 84.569 the digit 5 is in the first decimal place (tenths), so it stands for 5 tenths.

Q: 6 x (5 + 3) ÷ 3 = ____

B. 16. Brackets first: 5+3=8; then 6×8=48; then 48÷3=16.

Q: Which of the following is the same as 8 070 ml?

B. 8 ℓ 70 ml. 1 ℓ = 1000 ml, so 8070 ml = 8000 ml + 70 ml = 8 ℓ 70 ml.

Q: David did his standing broad jump and achieved the distance shown below. Which one of the following readings is closest to what he achieved?

B. 1.56 m. The scale runs from 100 cm to 200 cm with evenly spaced ticks; the footprints sit just past the midpoint at about 156 cm = 1.56 m.

Q: The total length of stick A and stick B is 9 m. Together with stick C, the average length of the three sticks is 6 m. What is the length of stick C?

B. 9 m. Total of 3 sticks = average × 3 = 6 × 3 = 18 m. Stick C = 18 − 9 = 9 m.

Q: The pie chart below shows how Gary spent his money on different brands of shoes. He spent $15 more on Brand C shoes than on Brand B shoes. How much did he spend on Brand A shoes?

B. $45. Brand B = 100% − 60% − 30% = 10%. C − B = 30% − 10% = 20% = $15, so 1% = $0.75. Brand A = 60% = 60 × $0.75 = $45.

Q: The figure below shows a transparent rectangular container partially filled with unit cubes. How many cubes can the container hold altogether?

C. 36. The base holds 3 × 3 = 9 cubes and the container is 4 layers tall, so it holds 9 × 4 = 36 cubes.

Q: In the figure below, STUV is a parallelogram and VWXS is a rhombus. Which of the following pairs of lines are parallel?

C. TU and XW. In parallelogram STUV, TU is parallel to SV. In rhombus VWXS, SV is parallel to XW. Hence TU is parallel to XW.

Q: Sarah has some mystery and comic books. The number of mystery books is 2/3 the number of comic books. What is the ratio of the number of mystery books to the total number of books she has?

B. 2 : 5. Mystery : comic = 2 : 3, total = 5 units. Mystery : total = 2 : 5.

Q: The figure below shows a square pyramid. Which one of the following is the net of the square pyramid?

A. Net 1. A square pyramid's net has one square base with four triangular faces attached to its sides; option 1 is the only arrangement that folds correctly into the square pyramid.

P6 Mathematics 2015 SA2 48 questions 100 marks

Source: Henry Park, 2015

This P6 Mathematics SA2 paper from Henry Park (2015) covers measurement, money, area and perimeter, geometry and angles, average, rate and speed and fractions across 48 questions worth 100 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

In 84.569, what does the digit 5 stand for?

Q2 MCQ 1 mark

6 x (5 + 3) ÷ 3 = ____

Q3 MCQ 1 mark

Which of the following is the same as 8 070 ml?

Q4 MCQ 1 mark 🖼 Visual

David did his standing broad jump and achieved the distance shown below. Which one of the following readings is closest to what he achieved?

Q5 MCQ 1 mark

The total length of stick A and stick B is 9 m. Together with stick C, the average length of the three sticks is 6 m. What is the length of stick C?

Q6 MCQ 1 mark 🖼 Visual

The pie chart below shows how Gary spent his money on different brands of shoes. He spent $15 more on Brand C shoes than on Brand B shoes. How much did he spend on Brand A shoes?

Q7 MCQ 1 mark 🖼 Visual

The figure below shows a transparent rectangular container partially filled with unit cubes. How many cubes can the container hold altogether?

Q8 MCQ 1 mark 🖼 Visual

In the figure below, STUV is a parallelogram and VWXS is a rhombus. Which of the following pairs of lines are parallel?

Q9 MCQ 1 mark

Sarah has some mystery and comic books. The number of mystery books is 2/3 the number of comic books. What is the ratio of the number of mystery books to the total number of books she has?

Q10 MCQ 1 mark 🖼 Visual

The figure below shows a square pyramid. Which one of the following is the net of the square pyramid?

Q11 MCQ 2 marks

Kevin cut a ribbon measuring 274.6 m into 20 equal pieces. What is the length of each piece of ribbon? Give your answer in centimetres.

Q12 MCQ 2 marks

Peter is n years old now. His sister is 3 times as old as he. What will their total age be in 5 years' time?

Q13 MCQ 2 marks 🖼 Visual

The table below shows Jose's salary each year from 2011 to 2015. During which one-year period was the increase in Jose's salary the least?

Q14 MCQ 2 marks 🖼 Visual

The figure below, not drawn to scale, shows 3 triangles X, Y and Z overlapping one another. The area of triangle X is 1/3 the area of triangle Y and the area of triangle Y is 2/3 the area of triangle Z. Express the unshaded area of triangle Y as a fraction of the unshaded area of triangle Z.

Q15 MCQ 2 marks 🖼 Visual

The figure below is formed by a square AOBC and a circle with centre O. AOB is part of the circle. The length of AO is 7 cm. Find the perimeter of the figure. (Take π = 22/7)

Q16 Open-ended 1 mark

Arrange the following fractions in descending order. 3/4, 2/5, 5/8

Q17 Open-ended 1 mark

Isabelle ate 1/6 of a pie. She cut the remainder into 4 equal slices. What fraction of the pie was each slice?

Q18 Open-ended 1 mark 🖼 Visual

The opening hours of a clinic is shown below. How long is the clinic open on Saturday?

Q19 Open-ended 1 mark 🖼 Visual

AOB is a straight line as shown in the figure. ∠a = ∠b. Find ∠a.

Q20 Open-ended 1 mark

Mrs Ang packs 6 kg of flour into smaller packets. Each smaller packet contains 900 g of flour. How much flour is left unpacked?

Q21 Open-ended 1 mark 🖼 Visual

Use the information below to answer questions 21 and 22. The graph below shows the number of points Sam scored in the basketball matches he played in from January to May. How many months did Sam score at least 10 points?

Q22 Open-ended 1 mark 🖼 Visual

What is the average number of points Sam scored per month from January to May?

Q23 Open-ended 1 mark 🖼 Visual

In the diagram below, the letters S and G and digits 5 and 0 are drawn on a square grid. List all the letters and/or digits which have at least one line of symmetry.

Q24 Open-ended 1 mark 🖼 Visual

The figure below shows a line AB. Draw a line AQ such that AQ is 3 cm and ∠BAQ is 50°.

Q25 Open-ended 1 mark

After receiving a discount of 20%, Mrs Tan paid $56 for a watch. What was the price of the watch before the discount?

Q26 Open-ended 2 marks

In a stall, sweets are only sold in packets of 8. Each packet is sold at $4. One sweet is given free for every two packets bought. What is the maximum number of sweets that can be obtained with $20?

Q27 Structured 2 marks 🖼 Visual

Refer to the square grid above and fill in the blanks with the correct location. (a) The terrarium is east of the ____ (b) The ____ is northwest of the terrarium.

Q28 Open-ended 2 marks

Peter had 3/8 as many marbles as Simon. After Simon misplaced 3/4 of his marbles, Peter had 120 more marbles than Simon. How many marbles did Peter have?

Q29 Open-ended 2 marks 🖼 Visual

The base area of a rectangular tank is 20 m². The tank contains 120 m³ of water when it is 3/4 filled. What is the height of the tank?

Q30 Open-ended 2 marks 🖼 Visual

The figure ABCD below is made up of 3 identical rectangles. What is the ratio of the area of the shaded parts to the area of the unshaded part? Give your answer in the simplest form.

Q31 Open-ended 2 marks

(Paper 2) Junfang took 5 minutes in total to fold 2 identical paper cranes and a paper boat. She took 30 seconds less to fold a boat than a crane and spent the same amount of time folding each crane. How many seconds did she take to fold the paper boat?

Q32 Open-ended 2 marks 🖼 Visual

(Paper 2) A 200-litre tank was completely filled with water at 07 00. Water flowed out of the tank until it was completely empty at 12 00. The line graph below shows the rate of the flow of water. At what time was the tank 25% filled with water?

Q33 Open-ended 2 marks

(Paper 2) A third of Gabriel's mass is thrice that of Helen's mass. Express Helen's mass as a fraction of their total mass.

Q34 Open-ended 2 marks 🖼 Visual

(Paper 2) A large bottle of oil was poured equally into 75 small bottles. Oil from 15 of these small bottles was then redistributed into the remaining small bottles. As a result, each of the remaining small bottles received 10 ml more oil. How much oil was there in the large bottle at first?

Q35 Open-ended 2 marks 🖼 Visual

(Paper 2) The table below shows the number of hours each student in a class of 30 students spent playing computer games per week. The average number of hours the students spent playing computer games per week was 5 hours. What is the missing number in the table?

Q36 Structured 3 marks 🖼 Visual

(Paper 2) 40 students lined up in a row along the corridor with an equal spacing of 2 m apart to welcome the Guest-of-Honour (GOH) at a school event. The GOH then walked along the row to shake each student's hand. (a) Starting from the first student, how far would the GOH have walked when he shook the 10th student's hand? (b) When the GOH had walked a total of 58 m, how many students' hands would he have shaken?

Q37 Open-ended 3 marks

(Paper 2) James used 4/7 of his screws and 3/5 of his nails to construct a wooden cupboard. In the end, he had an equal number of screws and nails left. Given that James had a total of 145 screws and nails at first, how many nails did he use to construct the wooden cupboard?

Q38 Open-ended 3 marks 🖼 Visual

(Paper 2) A swimming pool takes the shape of 2 semi-circles and a rectangle shown below. Andy walked 15 rounds along the perimeter of the swimming pool. What was the total distance Andy walked? Give your answer in kilometres. (Take π = 3.14)

Q39 Structured 4 marks 🖼 Visual

(Paper 2) A tank measuring 60 cm by 10 cm by 24 cm is 1/4 filled with water. Taps X and Y were turned on at the same time. Water was drained out from Tap X at the rate of 750 cm³ per minute while water flowed in from Tap Y at the rate of 1050 cm³ per minute. (a) How much more water is needed to fill the tank to the brim? (b) How long would it take to fill the tank to the brim?

Q40 Structured 3 marks 🖼 Visual

(Paper 2) In the figure below, a rectangular piece of paper is folded along AD as shown. Given that EFBC is a straight line, find (a) ∠EDF. (b) ∠DFC.

Q41 Structured 4 marks 🖼 Visual

(Paper 2) Peter and John started running in opposite directions from the same spot. After 36 minutes, the distance between the 2 boys was 7920 m. (a) Given that Peter ran 3 times as fast as John, find Peter's speed. Give your answer in m/min. (b) How long would they have to run to be 12 760 m apart? Give your answer in minutes.

Q42 Structured 4 marks

(Paper 2) The ratio of the number of marbles May, Teddy and Sam had was 3 : 5 : 2. During a game, May lost half of her marbles to Teddy. Teddy lost 20 marbles to Sam who then had 3 times the number of marbles May had at the end of the game. (a) What was the percentage increase in the number of marbles Sam had at the end of the game? (b) How many marbles did Teddy have at the end of the game?

Q43 Structured 3 marks 🖼 Visual

(Paper 2) The table below shows the prices of admission tickets to a zoo. (a) Mr and Mrs Chan took their 70-year old mother and 12-year old twins to the zoo. How much did they pay for the admission tickets in total? Give your answer in terms of y. (b) Mr Chan gave the cashier $150. If y = 7, how much change would he receive?

Q44 Structured 4 marks 🖼 Visual

(Paper 2) The table below shows the method used to compute the sum of different sets of consecutive numbers. (a) Find the sum of numbers from 1 to 40. (b) The multiples of 7 and the multiples of 9 were excluded from the set of numbers 1 to 40. Find the sum of the remaining numbers in this set.

Q45 Open-ended 5 marks

(Paper 2) A bag contained some yellow, red and blue marbles. There were 221 more yellow marbles than blue marbles. There were 3/4 as many red marbles as blue marbles. Given that the number of blue marbles was 1/6 of the total number of marbles, how many marbles were there altogether?

Q46 Structured 5 marks 🖼 Visual

(Paper 2) The table mat below is made up of identical semi-circles and a 31-cm square. (a) Find the perimeter of the entire table mat. (b) Half of the table mat is shaded. Find the area of the shaded part. (Take π = 22/7)

Q47 Open-ended 4 marks 🖼 Visual

(Paper 2) In the diagram below, ACF is a right-angled triangle, DEGH is a square and ABDH is a rhombus. Given that AB = BH, find ∠AFC.

Q48 Structured 5 marks

(Paper 2) At a fun-raising event, 60% of the people were male and the rest were female. 20% of the female left the event in the afternoon. In the evening, after 33 male and 35 female left the event, 75% of the people at the event were male. (a) What percentage of the people left the event in the afternoon? (b) How many people were there at the start of the fun raising event?

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